Ra i See oe Dn ne
Tu
Poston, Public Library
Jeg SSTEES op > 2 PVBLIC LIBRARY © J
of THE CITYOF jf 8 , S852 : 1878
Purchased From _ Billings Fund
A
Neat if 1 Nee
. *
ee
. 5 > . 1 ns
* oh
nt
A booke called 2
Treaſure for traueilers, deuided
into fine Bookes or partes, con- taynyng very neceſſary matters, fos
all fortes of Trauailers, eyther by Sta or by Lande written sf , William Bourne.
on ata
* 1 ‘ee \ * 5 . 9 f N . N ia fa g 174 1
—
6
1 — 17 ; ’ : nit ‘ a 12
C lnprinted at London fr 7 Ton Woodcocke, dwelling in Paules . cke Beare. 4378 55
Pa
Fro the Right worthipfall ſyr
—
William Winter Knicht, AAai-
ier of che Qucenes Maieſties Ordi-
naunce by Sea, Suruaior of her lighneffe marine caufes.&c. William Bourne wifbeth increaſe of woorfhip vn-
dc the ftate of honour and
trus felicitie, a Hat great commoditie an profit Right worthy & ‘wore IH nipfull Knight, hath alwaies — tedownded vnto the common weale, and gouern ours ot the fame,which in martial affaires
1149282952
- «
ned f e and renoveme it hatli alwayes brought and e xalteclvnto high dignitio thoſe that haute taken vpon
themʒ tor their Prince and Countries proſperitie great
exploytes, rather putting them ſelues in daunger of
their liues. then theit Prince and Country ſhoulde bee
a 8 diſhonouted. Then I may ſay without any obiection
or doubt, that your woorfhip is one: For I my ſelfe
can woitneſſe and of my owe knowledge, know, that no perfon in chis Land hath ſuch great iudgement Aud kuovvledge in martial affaires by Sea, both touch- ing the ſnipping, for that purpofe, and alfo the proui. ton for che ſame, as yout woorthip hath: and as for Four courage, valia tneſſe, and wiſdome, which is not - ynknowne vnto the worlde, whereas I being moft ſymple haue written this baſe and rude volume,
b whiche 1 doo call a Treaſure for Trauaylers 5
cat *, ii? am . ö
“Phe Epiſtle dedicatory.s am fo boldeto dedicate itvnto your ywerthip, not for l
lence towards mee being as a poore Gunner, ſeruing
ie
woorke is deuided into fue Bookes, the fyrſt is Geo- metrie perſpectiue, the ſecond Bookeisappertainyng = vuto Coſmographie, the thirde Booke is Geometrie general the fourth Boołe is Statick, and che fyfth and ans laſt Booke is appertayning vnto natural Philofophie, as the contentes of the matter doo appeare in the ra. bles of the Bookes, hoping that your worfhip wil take chis ſimple thing, as a true token of my good will to- wardes you,although the thing it ſelfe be but rude e ſimple. And thus, Iceaſſe to trouble your worfhip. 1 any longer, at this time, beſeeching the liuing God to proſper you in al your affayres,
in perfect health, with all your chil-
| dren and familie, Amen.
yee 1 63 0h [2 By your worfbips at commaum dement, William Bourne.
i me 5. 2 - in F >. : : | — * Pris . 9 14 7 4 * SP RE ca cif \t 1 crn «lite ‘ 7 f eu 14. As - ’ d #2 savin iJ i2 4 1111 . 44
cor g 97 2 1 yee! > 5 44 9
Dye PrefacétothéReader. eink dwibsen obeisicenssoaceb! anibrriics wend Soeben io “admin sot neveors! sd 07193 be Onfideryng with my felfe, gentle Reader, with howe infinite paynes and labour, ldyuers heretofore, menof ſmoſt excellent wittes, and Sf ofpafsing knowledge, haue compiled their Bookes, and with what heede and cir-
amined and perufedrtheyr trauayles, and with what J feare and waryneſſe they
imo iol thane publiſhed the fame: and not without good cauſe why, for rhereby:they-haue o- pened them ſelues, theyr name, and fame; to no {mall daun- sand harzardes: namely to the'veiwey itidgement ; and Tepost of all menne. For which cauſe,; nowe ſceyng I haue takenvpon me at this time a harde enterpriſe, a burthen too heauy for mee to beare or ſuſtaine, who haue at lefigth thew: ed my felfe ſo hardy. as to publiſh this litle Treatiſe, I being altogether vnlearned, and hauing no helpe of any other lear- med perſons, being of my ſelfe altogetuer deſtitute both of
Ano ledge and learning. Wherefore I defyre thee, gentle Reader, to beare with myrudeneſſe, and conſider that it is the good wyll which I _ beare vnto my natyue Countrey, for to profyte the common vVealth, as much as lyeth in me, although that it be not lear ned lyke, yet I pray thee holde me excuſed, beyng altogea- ther ignorant, lacking the capacitie both of knowledge and eperience (ho hauyng taken vppon me) to publythe: this to the ſcannyng and trying of fo many toucheſtones, and: daungerous crimes, that I beyng fo ſimple, fhould enterpryfe:
O farre to take vpon ine to open ati Science. eil dg i zii HDi oct a) e bb
*
rm eet
18 1 217 ‘oe Mer 8 1 * ne 7642 0 „ „e 210 e 2454 CDI
13 7 cad > rire 8 = 22 30d.
e
cumſpectneſſe they haue ex -
The fl?
booke, _. onsoftheSkall Quardrant or Aſtrolobe, and in the like ma
take the platte of any countrey. cc. eee ake the platte of any countrey. &c.
booke,
The thirde booke,
The fourth booke,
‘The fyftle 1
The Preface:
But notwithſtanding, I doo fee,that itis ſo needful a mat:
ter to be knowen vnto a number of perſons, that doo de-
Ayre for to haue inſtructions in thoſe cauſes t at ate contey-
ned in this fymple volume, the which booke L dg C e A Treafure unto Trauaylers, and is diuided intoo fyue
Bookes. 4 Di 5 ee And the fyrſt booke conteyneth the particulier conclufi-
ner the particuler concluſion of the Croſſe ſtaffe &c. Al-
fo the vſe of the Horizontall or flatte Sphere, uhereby- to 8
The Seconde booke doqth thewe dune you if th se 90 dooknowethe Longitude and the Latitude oFany N ly, then howe to knowe ie aati eel om you,
any place aſſygned, and by w Hat poynt of the Compaſſe tha it is from you JO Ih Dog zH JON bas
moſt principall place hert in Englaude; I haue Hale Ha- med certayne principal places herein Eupe, and alſe in c frica, and in Aſia and alſo in Anerit auh On oftiid prin. cipalleſt Hlandes in the worlde, n Latitude, and theiridiftatice from the city of LY! Adly what poynt of the Compaſſe that it ĩs from Landon, and ao
how much that the Moone doth chaunge rather or later then ir lo
it doth at the citie of London, andwhatilers 3 day is of. Sr olinop e owleb T sraieisdl¥
The third booke is as touching themeafuxing of Supetfi- cials and ſollid bodies, and howe vo augment themor dimi- nifh them, vnto what proportion or bigdes:y ou liſt, whether chat it be the tonnage of any ſnyppe, r the bigneſſe of any A od gnlos! saniongr aes” The fourth boke is as touching the Art Stàtical, as to now the waight of any ſnyp ſwimmyng on the water; and ſuch o- e T tedkt.corr enomsenrishs
And becaufe that London is the moſt famous and ‘the 5
The fifth or he laſt bole is as touching the natural cauſes
of fand and rockes in the Sca, and diuers {uch other like cau- ſes, as it doth appeate in the table ofthe contentes, of ne 5 , Bookes ie
4
; 1 ? 7 7 * Ss of
—
Spe — — |
6 OW, to! make a Plat or Carde or an e &c. which is re in the farft booke.
sets’
*
i fering. nitty fora Trauailer i in like ma- | Geometvie oe haue a way to get the true waight of any thing that cual. on the water, & in like maner to know the waight of: y thing that fynketh into the water, & what it waigheth dn the water, to be lifted frõ the bottome vnto the fuperficiall part ofthe water, asi it is declared in the fourth boke. And fur- r very neceffary & conuenient for Trauaylers ci- 5% ie 880 at or by land: to haue knowledge in the natural cau- f fu vont things that are to be feene in tranayling, as the s &bankes,as well in riuers as in the ſea, and the cel 95 arith ground and m dowes, & the cauſe of ch es, Naturale fides of riners,& on the fea coaft, with ſuch other like Pp ble. matters,asis declared in the fifth and laft Booke. 8 A And
8
Bookes are I thal the better ise ke of it if gens bee rat | ould 45 5
bearned.
the common wealth. Sc.
De Preface
And noi ĩt is poſsible, tharfothe pertons!wyt’ mai chat [being ſo fimplesand not learned; oulde take v a meto beamedler i in theſe cauſes, for chat tlie be es that doo appertayne vnto learned men. Aud it is potsible, that ĩt wil bediflyked ofa abet of people, as ennie dwelleth generally in the hartes ofmoft men for chat is tie pre p of many people, to dillyæe all things that ate not doone bv them ſelues, vſing to reade Bookes to no ocker ende; but to fynde faultes in them. AS;
And yet it is beach bereden, dense Pies, which were à can of difeouragyng " Mids iy iperfon“ that dooth write: perla cen not tſcourage ine, ſor that I am veterly vnleatned, and therefore tthall 1 not dit 75 me, if any learned mam dooth fynde an faulte therein: ri beyngfimple and vilearned ; ir is 0 difcredite for ie eyther tobe taught sorte halle the Pailees (ewe vatol Ae. For by that meanes {may | tefourine chic HAIER z e them or my ſelfe: lon rft 254 : Je fd n yous 5 Aad fürthermote, f doo not mensch malte aii book to teach them thatarecutming’ ec learHed Bue the nly caufe of my writing of this bodkéis,to inftrad of teach them are ſimple and vnlearned: And therefore hotwithftandy:
3
ens : 75 learned man, i Gu ben ma nner you hie lobe fo Age or eloquent ſchole termes’ „ bugeiien to'fake the fib ance of the matter rudely as it is and ayabe a garde’ the neceſſatineſſe of the matter, whether ‘igmay'd oe. snygoodia et lo 00 38,218 0 el And
ey ren 34 a
to the Reader’?
Aud yet ndtwithfandin g my opinion ĩs 1 ſonis to —— het gostrordank ended ur, N er ſon ts to doo good in the common wealth „ howeſoeuer thatit to bed prooueth. But choſe perſons are vtterly to be dyſſyked of, %, 4h his that doo hurt dilyngiyin the com n wealth; as extorti- n well oners and Murer anu conuayersofCorneand Vitaylessaid 2, 4 7 other neceſſarie band commodityes that his countrey doom lacke or hach neede of. (ofl? 20112 nor UB YIBE 19115 127 5 And al thoſe perſons ate not to be thought u- ell of, that 5 doo deſyre to lyud eaſily; abuling the good benefytes that P tie
God dooth bleftle the earth with as — as e to be df drum kardes, bankerters , whoores;and.whooremayiters;and Y ſuch as doo iſe an exceſſe in apparellʒ much aboue their de-
o io Dann Sud et 3! top bas euoib
And alfo thoſe people are to be abhotred of al men, who doo annoy the earti, that vſe quarrellyug and fyghtyng, robbyng and ſteutytigõ catyng not how tlie oe byit . ſo that they may haue it with w fich this our countrey of Eng- land fpweth at this day, (the mote is the pytie) for what wic- kedneſſe is there that can be deuyſed, but thar it is vſed here in England amongſr al degrees, which muſt needes procute the'wtath of God to lyght vppon vs. And there is as great 55 G@bileamioniget the Clergie, which bould be as Lanternes 15) py oe « to geue vs ly ght, to leade vs vnto vertue But how in hefe g Ade, dayes they be as Lanternes to leade vs vnto vice. So that al g Gey? degrees of people are geuen vnto wickedneſſe, although that Wwe laue the Goſpel of leſus Chriſt, preached dayly vnto vs, yet wickednes doth abound J for what ſynne or wickedneſſe is there; but that it is ſuffered and vfed jas Nehcraſt and ſor- cer, and magical Inchantment, and coungertug, whichis the greateſt and moſt abominable dithonouride ofGod,that For in theyr magicall Inchantment and coungeryng, doo Magical In. they not obſerue houtes in thè making of Curecters, & ſet vp chauntmert pickturs of the Roode and Agnur Dei, and the Dome, and a it agreat dis- snuimber of ſuch other picktut᷑s, payrited, and gilded vppon hing of rad *. i. Virgin Ged,
The Preface
Virgin Patchment,as they cal it, And then in like maner theit cirkles muſt be perfumed, & inbalmed with ſweete odours; and they muſt haue a knaue prieſt, made by the Popes lawe, to hallowe a certayne portion, with a number of ſuch vayne Ceremonies, And when that they haue the diuel, vhom they doe ſerue, & doo geue him in ſome cafes ſome thing for a ſa- crifice, and when that they doo geue the diuel a charge to tel them any queſtion that they would knowe, then are vied a number of ſuperſtitious wordes, as in the name of the virgi- nitie of the Virgin Mary, and the head of Iohn Baptiſt, and a number of vaine Saintes more, beſides a number of ſuch de- teſtable Ceremonies, to the great diſnonouring of God. &c. And who is the cauſe and the procurement of theſe moſt o- dious and deteſtable matters, but a number of vaine, & wic- ked people, yea ſome of thé be of no ſmal wealth nor calling, that do procure theſe matters: For if that they haue loſt any thing, thẽ they muſt repaire vnto a Coniurer, to know where that is againe. Aud furthermore, there are ſome vaine & foo- lifh Gentlemen, which ſeeke to liue pleaſantly and idlely, that muſt liue by gaming and playe, and he muſt haue a familiar EP eS in a Ryng, or ſuch other like place. But what manner of Chri- of chriftian is ftian doo you thinke him to be, that deſyreth to be familiar bechat de with the diuell? So that a great number of people that are in
e 2 the world: deſire to lyue idlely and pleafantly, caring not, ſo eee that they haue their pleaſure here, although their ſoule goe Ae del, nt hel, and there to be tormented in fire & Brimſtone euer e. world without end. Wherefore God turne the hartes of thofe that are the caufe of wickednes, and efpecially herein our na- tiue countrey, & Realme of England, for that we haue a moſt gratious and vertuous Queene raigning ouer vs, and ſuch a The vertu one as doth alwaies ſtudy for the ſetting foorth of the word euſueſſe ofthe of God and ſacred Gofpel of Ieſus Chriſt, and dooth alwayes -Queenes ma- ſtudie for peace & traquility. And conſidering the great wic- zeſtie it ovr kednes that is vſed in England, the wrath of God would haue preſeruation. lighted vpon vs long before this time, but only for the grace & vertuouſneſſe of the Queenes miaeſty, that God hath ipa |
aces to the Reader.
red vs for her fake. Therefore let vs al pray vnto God for her
long life and proſperity, that the may raigne long ouer vs. For
ſurely my opinion is this, except we doo repent and turne fro
our wickednefle, the wrath of God wil light vpon us. For in
theſe daies euery man is butfor him ſelf, the elder fort of peo>
ple are geuẽ generally al vnto exceſsiue & huge couetouſnes,
and the yonger fort of people are geuen generally vnto pride of and whooredome; and other vaine toyes, as idlenefleand ga- The abufes® myng, ſo that in reſpect fewe or none haue the feare of God i degrees. before their eyes. And if any perſons doo frame them ſelues
to liue vertuquſſy, according vnto the laue of God, then they
fhalbe but derided both of the elder fort, & alſo of the youn.
er: for the couetous rich perſons yl ſay, he is a foole, he can
not make ſhift to liue, he hath too preciſe a conſcience: and
the xoungeſt, vayne glorious proude fooles, will ſay, He is a git ſcriptured manshe wil not haue vs to be meery nor go clenly. Cometou/ner So that in theſe dayes,extortid & couetouſnes is called good iscalied good busbandrie: and the one of them wil commende the other, husbandrie, lay ing, He is a wife felowe, he wil liue, how fraudulẽtly ſoeuer
he come by his goods. So what wickedneſſe ſoeuer that it be, Pride it clene the fame ſhalbe commended by them that vſe the like: as line ſſe. pride in theſe daies is called clenlineſſe, and {wearing luſtines, ſearin lxying, he is a luſtie fellowe, and dronkenneſſe, good fellow - Inſtineſſe, ſhip, and whooredomea tricke of youth or freindſhip, fo that drunkenneffe, the one ſort of people doo heape vp the goods on the earth good fellowa vnſaciably, re. other ſort of people, ſpende it away moſt fhyppe, vainely and wantonly, ſo that the good giftes or benetytes of horedome, God, which are the riches of the world, are abuſed on euery fiendfhip or ſide, & not vſed as they ought to be, that isto ſay, to do good gtricke of vpon the earth with that, for it was created for the vſe ot man youth,
to a good ende, to take his portion of it, & the teſt. to vſe vn- 752 to fome good purpoſes at his diſcretion, for that God doth
ſende it hym, vnto that ende, and not to be heaped vp, ney-
ther to throw e it away wickedly, as a number doo: Therefore
men do not 1 confider,wherefore they were borne vps
pon the face the earth.
ex a | EFrxſt
—
e
The frff Fyrſt lie is borne to ſerue God, for that he hath created him eanfe hat and al mankinde; and harh created hima reaſonable crea. man is Fee ture, and hath created al thing for his vfe : as fyrſt the earth) for, is to ſerue with al his mynerals, as we doo digge out of the earth, Gold, et Syluer and al other mettals, aud ſtones;to make vs necefſa- ryes to ſetne maijs vſe And alſo the face of the earth; he hath; Created to briiigfoorth Trees to make vs Timber, and Graſſe dio feede Cattel, to make vs foode and meate: Corne to make vs breade, with al his other benefytes, which man receyueth from the face of the earth. The Sea with al other Ryuers, bridgeth foortli Fiſh of innumerable Ortes to make vs foode and meate ʒyeuthe very Sea is for’ — vk, too’ seer Countrey vntoeCountrey i : Ihe ayre in lyke manner hett; are nde of _ feathered foules, for mans vſe, yea the very Heauens are for mans vſe, as the Sunne, Moone, and Starres, are created Noon HRY for the vſe of man And alſo he hach redeemed vs from. the Original nne of Adam, by his precious bloodde 5 * Wherefore’ wee? are 7 borne too ſerue The fee —— 5 And ſecondly, woe are borne to ferne our einde e is cauſe that tyue Countrey, that is to faye, to defende our Territoryes manis borne that no other fetreine Nations doo {po ye vs of een ii te ſerus his or our Prince of her dignirie- cotentſey. And thyrdly, we are borne to Seger, honthold; Thirdly man and our familie and to ſee that the ey be trayned vp, to lyue in in hem to la- the feare of God, and to knowé tſieyr duetie to their ma- lou to ue giſtrates, and to trayne them vp vnto ſome eee ‘py sos they may get them a lyuing. & c WherforeT wouldwith altho > perfons,thatit hath pleas . fed God to bleſſe vppon the faceof theearth , with anye worl‘ly reuenewes, or ſubſtance an | lining, to practiſe ſome thing, whereby they may doo fone good vppon the face of che earth. And in Tike manner to trayne 45 ten ee the nurture and teare of God. ie „ Eppecialip ö
9 1
1 * «hae
to the Reader.
Eipecially the noblemen and gentlemen, and they them felltes nat to deſyre to ſiue plealantly atid idely, but to pra? „ tiſe ſome vertuous thing, as martiall affayres, or ſuch other The cauſes lyke cauſes, as theif capacitie wyll ſerue them. For there fal degrees.
were two cauſes in the beginning of all degrees ofthe tem! poraltic ot layetie whetofal Nobſe men and Gentlemen Had their origittall aii beginnyng and they ateworthy to be had
in honour vnto the worlds ende, for their parentage, and the?
much the rather, if that they doo folow the rule of their no-
— *
ble and worthy progenitors. re e eee The fyrft cauſe was, for their noble actes and deedes in tlie An defending of their Country agæ ꝗſt their enemies, Ste. So by 4 fe, r enemies, hl were extolled and aduaunced vnto high dignitie, euierye perfon according vnto his deſettes, and had ly uings to main. tayne their ſtate, and they to defend their Territories whileft’ the common people dyd manure and tyfl'the ground. + And the ſecoꝶd cauſe iu degrees of nobilytie and gentle- The ſecond men wasto theni that tnade good and u hoſſome law es for’ cauſe. the good gouetnement of their Common weales. Therefore Iwould wich al noble mẽ and gentſemen to folow the noble
ice of their progenitours: and then they are the highlyer to bee efteemed But otherwife; what afhame and diferedit. ifthat they dorightly 1 it, is it for them to be cuil members n the common weale? conſidering howe worthyh
eir ancientrie dyd attain: &come vnto their callyng. Ther. Good mems
fore Loud wilheuery gentleman; to practiſe forne thing, bers wi wa t he may do good, either todefend the common weale, r 7°47 els to profyt it ſome otherway,and not to be idle and to ſecke to liuè eaſily, whereby the common weale may be the better mayntayned , tlie Prince the better ſerued, and our Counte the better furaithed,with fach perſons, as are able to defendle the Prince, Crowne and dignytie, as well in their good coun- al | e acts and deeds. And alſo in my opinion,
E, and alfo ia chelt acts and deeds. And a ot ney ane very nedelfar members in the tominon weale in di- 4 ü ners:
The Preface uers reſpectes, that are Trauaylers into other Countries, and they are able to profyt theyr owne Countrie in diuers re- ſpectes: for that hee is able to geue iudgement by his owne. Countrie of other, whether it bee as touching the gouerne- ment of the common weale, in the executing of their lawes of che manner of traffick, and in the vſage and nature of the people, bothe in their Cities and Townes, and in their Countrie, and what manner of commodities they haue, and of the ſituation of their Townes, and in their fortifycation, and alſo of what ſtrength and force other Princes and ſtates are of, and of the order and manner of vſyng them ſelues in martial affayres in the warres, and what their Artillerie is, and how they are weaponed and armed, and furniſned in e- uery reſpect, which is very neceſſarie to bee knowne vnto the nobilitie, for that they may prouide them ſelues, and their Countrie for their better ſafetie, and alſo they thall knowe what thing ſnall annoy their enemies moſt. Then it is a playne caſe, that Trauailers into other Coun- treies doo much profyte the common weale. For ſuppoſe this, that if we, or any Co untry dyd liue in that order, that we did trauaile into no place or Countrie, neither no nation vn- to vs, then in proceſſe of tinie wee fhould beecome barbarous and ſauage. Therfore the Trauaylers are much to bee com- mended in diuers reſpectes. Wherefore I wyll fhewe you my opinion, what manner of people are meeteſt to bee trauay- lers. For a number of people haue trauayled, and when they haue come home, they haue had no iudgement of their tra- uayle, but haue beene vtterly ignoraunt of ſuche thinges as were moſt meeteſt of a Trauailer to be noted, and partlye ſome of them were not capable in thoſe cauſes, and ſome of 1 them many times, their heades are occupied with other vaine Is be Tau and fooliſn cauſes. &c. as this fyrſt: thofe people that are able Tiles do benefyt their country by their trauaile,when they are come home, ought not to bee to young : for commonlye ayoung manhisheadis occupyed witheuery vaine andlight caufe, l “us
hat maner
of perfons are
* 4 b
to the Reader. as with banketting, and play, and game, & daunſing, and da. lying with women, and gazing vpon vaine toyes. &c. So that his head is occupyed with no other thing, but all pleaſaunt matters. A 02. 0 Therefore he that is ſent to be a Trauailer, to the ende to What a Tra. profyt his Country, ought to be a man that hath a ſtayed & Vailer fhonld a modeſt head, and fuch a one as is capable, and hath a good conſider of. witte with him, and learned. And if hee bee ſeene in the Ma- thematical Science, it is all the better: For then hee fhall the ſooner conceaue any matter. And alſo he ought not to be ei- ther to young norte olde, but betweene the age of. 40. and 56. or 55. yeares. &c. And theſe bee the priucipalleſt poyntes, that a trauailer ſnould conſider of, Firſt, to conſider what ma- ner of Nation he is entred into, whether they bee politicke or wiſe, or Ciuill 3 whether they be a rude or barbarous nation: and fo in his trauailing to frame his vſage accordings ly as neare as he can, that the people may like well of him: for in fo doing he fhould vnderſtande the better of the ſtate and commoditie of the Country, Citie, Towne or place: and when that you do come into any Citie or Tow ne, view of what ma- ner of grounde it ſtandeth vpon, and what it may be or is ſub- ject vnto, and in like maner how it is fortifyed and prouided, and how it is maintayned, and whether it ſtandeth vpon any hauen or riuer,that hath vent vnto the Sea, or any water, that hath no vent or paſſage vnto the Sea, but thorow or by ſome other Citie or Tone, before it commeth vnto the Sea. And alſo vnder whom it is, and howe it tis gouerned, and what theyr Lawes aud Ordinaunces bee: And what nota- ble Monuments of buildyngs there be: and any other rare and notable thing that is not common : And alſo to learne what nation, Country, Citie or Towne that may moſt annoy them, and alſo what Countrye, Citie or Towne dooth moſt pleaſure them, and what trade or Marchaundize they are principalleſt maintayned by, and what commodities ate e 7 id: . » Mew Das . %
The Preface Of Yi moſt plentieſt, and whatcommoditiesor things neceflaricht, axe moſt ſcanteſt, aud what tlie nature of the ſoyle or ground is thereabouts, that is to ſay, What the ground is molt apteſt to bring foorth, or moſt vnapt, as touching Corne, Trees, — and ſuch other lyke, What ſoeuer it bee. And alſo what maner
2
and
0 The Preface.
and difcreet in the good gouernemét ofthe common weale,
ſuch as doo maintayne vertue and ſuppreſſe vice, are perſons ol great valure to their Countrie, and alſo thoſe perſons are able by their wiſdome and knowledge to benefyt or profyte their Countrie, whether it be in the teaching of good artes and Sciences, or by any other meanes; ſo that the common
wealc be the better mayntayned, are perſons of great valure,
and are as Iewels vnto their country, and their country is be- holding vnto them. Eut contrariwiſe, all thoſe perſons that are not able to profyt the common weale in any reſpect, and
alſo defyre to liue pleaſauntly and wantonly, and haue great liuynges and riches, and doo no good therewith : all thoſe
perfons are more beholding vnto their Countrie, then their Countryeis vnto them. But if they haue great ſtore of ry- ches, and doo couet to heape more, caryng not how they doo come by it, ſo they may haue it: ſuch perfons are the de-
ction, and are as Caterpillers to the common weale of their Countrye, for that they doo annoy and hurt the pro-
ſperity and the {tate of their Country, for that they catch and
heape vp into their cuſtodie more then dooth ſuffice them- ſelues, by great quantities, whereas thowfandes doo lacke to ſerue their turnes, that are better members in the Com- mon weale then they are. And all ſuch perſons, the Com- mon weale hath a good turne when they are deliuered of
ſuch a one: For by that meanes is diſpearſed that heape of
ſtore vnto a number of perfons handes, beſydes that whiche he would haue heaped vp more, if that hee had continued longer So that ſome of the richeſt ſort of people are not the beſt members in the common weale, but the worſte: and yet it behoueth ſome perſons to bee rich, and by their riches the common weale is the better maintained, as thus.
The Prince of any Countrye being godlye and ver-
tuous, the Common Weale dooth the better flourifhe,
ind is continually kept the ſafer from the forrayne enemyes: g soe and
. : *
— —
The Prefab WO.
and the Noble men; and Gentlemen.thatare vertuons; and
giuen to practiſe the good gouernment, & the preſerueme c of them ſelues, and the ſtate of their Country. So then their riches doo good, and alſo if the Marchaunte bee rich, ſo that he doo nothurthisowne Country, but winneth his ryches out of other forraine Countries, or any other good and vertuous Subiect,by his riches he may doo: good, hee do vſe that hee hath to the furtheraunce of the common weale:: So that it is neceſſarye that there ſhould bee rich perfons in the common wieale, for a number of cauſes, fo that thoſe rich perfons be vertuoufly bent, but otherwiſe they may do hurt. And thus gentle Reader, Idoo make an ende, deſyring you that you wyll take this ſimple Booke in good part, and ix there be any faults committed by me, either by igno- raunce or negligencè, I pray you let mee gentlye vnderſtand thereof, for man cannot bee ſo eo
preciſe, but that hee may erre. And this I betake you vnto almightie Gd. the Creator of all hinge.
aw &
By pours, William Bourne.
OL ~ 1 : t a - o 1 Wa i Fe Bs, Yas Bee itt N . << a * * + * a r3i 5 . > ~ a fr S 9
T Alriefe note, taken out fe M . Dees . (Mathematical Preface that goeth before Euclides Ele> mentes nome extant in aur Inglifh tongue, AS. touching whas 7 the Mathematical Sciences are, that it ta fay, all thofe Artes that onder number, meaſure, or wang hit, and tyme, without thewhich, in reſpect, we can doo nothing. For what can bee 3 doone in any reſpeci, but we muſt vſe number, which ts Arith- meticke? or what can be doone, but we muſt A or 3 wayght, which is Geometrie? or hat can there be doone, but . * thatwe mußt vfetyme, whichdooth appertayne vnto Aſtro- nomie for ij number we kunowe Bowe many or fewe there are: a ly meafure we knowe whether it be inches, feete yardes, — Forer, myles, leagues, poumdles, aunces, galloes, quartes, or tunne t and by tyme ,weknowe whether it be minutes, howres, dayes ,weekes , manethes ,yeeres. Cc. Whereof twe are prynci- p Al, Arithmeticke and Geometrie, wherof al theſe compoun- ded ſcientes are ſfrong of thefe two Simples, } vi
ee Thinges done by hand Geometricall. .
5 1 Niecometrie, Is the mealuring ok che length
anything whatloeuer. 1
* Embadometrie, Is the mꝛaturing the con⸗ aa pied ok all flat things, as Land, Booꝛde,
3. Stereomerrie, Is the meafurir g ot al ſolid bo⸗ Dies, as Timber, Stone, Kalbe lueh lyke.
Th inges meaſured dat haue di- ſtaunce from you.
4 Apomecometrie. qs how farre any thing is ? rc you, whether it be on lande oꝛ on water. Hipſomettie. Is how high oꝛ deepe any thing deene, is from the leuell, whether it bee on So Wel. Lande
SSD
- 7OO, * ’ - :
TL
Lande 07 Waker ae. M OI 5 IP latoitnettries Bambwade af pep yh aS Geodeſie. Jg the furuaping oꝛ meaturing of landes, woods, oz water, hauing dillaunce krom pou by inſtrument oꝛotherwiſe. geogeeppie Is the delcription of Countries, oz Ringdomes. ; 9... Cherogtaphie 92 Typographie. 3s the delcrip⸗ tion oba part of a Country 02 kingdome. ac. 10 Hydrographie. Ig the dilcription of the Seas, with the Jlandes and rockes, and dangers dAnd lynes, and Courſes .cc. Ante Is the view oꝛ mealuring of a battel of men, to know the number of them not comming neare them. ac. Perſpectiue. Demonſtrateth the manner and pꝛopertie ofall radiations directe, bꝛoken, and reflected. 13 Aſtronomie. Ig the mouing okthe lightes and Planets. ac. 14 Muſike. Teacheth the diuerſyty of founds.ac. 15 Coſmographie. Ig the deſcriptiõ of the whole earth, and the Paralell or the heauens an⸗ kwering thereunto dc. 16 Aftrologie, Is to geue iudgment by 5 fignes, 7 lights and planets ac. 17 Statick. Is aàn art that doth oꝛder and deale with heuines and lightneſſe ac. 8 18 Anthropographic. JS cf thinges appertap⸗ nyng to fhe body of wan, fo ſhew thein. ac. i9 Trochilike, oth àppertaine dito the turning of wheels, this art 18 neteſſary for C sa ets
_ —
Ww
gers, Crane makers, and WBylles.¢ al o: kh)er ſciences, that dos deale with wheeles. 20 Helicofophic. Is an art to dꝛawe hylical oꝛ Spheraloꝛ winding lines, and is very ne⸗ ceſlaty tor Skrewe makers, e diuers other things. :
2 Pneumatithmie, This artis nece ſſaty foꝛ all them that doo make Pumpes oz great Bellows, foꝛ p it teacheth al thoſe thinges
that goe by wynde and water. ac
22 Menadrie. Ig aàn art, that teacheth the making okal ingenes as things to pull to, oꝛ thꝛuſt fro, oꝛ lyfting vp, oꝛ pꝛeſſing downe. ac.
23 Hypogeiodie. Is that arte that dooth apper⸗
fkapne onto mpners in the grounde ac.
24 Hydrogogie. Ig that art to bꝛing water vnto any place aligned, ac.
25 Horometrie, or Horologiographie, Ig he mà⸗
king ok Dyals ofal fortes .ac. i
26 Zographie, Is the art ofa cunning Painter. ac.
27 Althalmaſat. The artof Grauing. |
28 Archetectur, Js à tunning Maſon oꝛ Car
penter. c. ;
29 Nauigation, Is ſàyling on the Sea. ac.
30 Thauruaturaike. Is that which dooth make ſtrange woꝛkes, as thoſe that made the bꝛa⸗ fen head ſeeme to ſpeake, the bꝛaſen Serpẽt to hille, the Doue of wood to flye, the Cagle made by art to flye. ac.
zt Archemaſtrie. This art teacheth to bꝛyng fo actual experience ſenſible al woꝛthy con⸗
tlulions, by al the artes Mathematical. cc.
8 FINIS.
8 ene;
4 — we
n
n
. pos fe 2 8 n N re teers ay 2 * e 1
3 Lik ner
are — 8 . — 3 . ae ne "3 a
* i? on»
N ö pti 2 5 1 ee
12 os - wet re a * ¢ — * * re 2 i
e Reader leu
vn frit booke ofthe 3 e for eee cee tte particuler conclufion of i he Scall eri Som the hieghe a e Tower , Steeple, or Billie on ff, 1 2d the the 12 ae on" “onto them, ec “Hit Ale 1 1 voll Eon nan Faß, and to know the shines 454 babe. 24 11 V the” 116 ee alle there isthe conch fren of tte borizentalor flat Sphere hom to take the plot of any countrey after the playneſt order with fuch orher ike, if
110 a wery necefjary for all fortes oftraselers ere se or 215
_ Land, written ty Willyam POMPE oe dir!
“To the Reader of the fir tp parte.
| Entle Reader, chere is contey- ned in this firſt booke, the par- ticular concluſions of the Skal, as touching the knowing or heigthes, bothe by right fha- dove, and centrary fhadowe: - and alſo howe to knowe any diftance by the Skalle. And al- t na 2 Thomas Dygges hath fet out a booke cal- led Pantometria, whicheis extant in print, as touching the conclufions of the Skall , whiche is very learnedly done. Vet notwithſtanding I doo notthinke it hurt- ful to fhewe it particularly at plainely, whereby they may doo. it in moſt cauſes, without Arithmetike. For che Skall being put but into, 12. partes, it may be coun- ted by the head, without Arithmetike: but if the Sk al be put into many partes; then it muſt of force require tp aid Arithmetike. And alfo there is the parti-
A. i. cular
Jo the Reader oft he fir ſt hole. cular concluſions of the Croſſe ſtaffe, as to take the wideneſſe betweene any two markes, and thé length of any wall, and the diftance vnto any place with o-
ther neceſſarye matters to be donne with the playne Croffe ſtaffe. &c. And allo there is the Conclufion of the horizontal or flat Sphere, howe to take the plat of any Counttey, after the playneſt order of teaching, that is to ſaye, by the poynt, and partes of poyntes of the Compaſſe: For it is al one matter, whether that the Inſtrument be diuided into degrees, or partes of poyntes : and that fame may be done by play ne lynes
of oppofition, without any Inſtrumẽt or circle,which I doo omyt at this tyme to ſp eake of. And although gentle readers, that it ſeemeth not ynto you, to be lear- nedlike done, yet notwithftanding it is poſsible, that there is ſome thing that is not common in thofe book; that are extant, that maye doo you pleaſure. For the learned fortes of bookes(it may be) are not moſt neceſ- ſary to be common, and yet it woulde doo well, that the common ſorte of people ſhoulde haue ſome in-
ſtructions. ee — “ * 7 b af 4 3600 : } N 110 05 Sis E 4 3 Top ; + * 181 7 onto: int : “ 1 iT Jf 1 1.00 if. 1 — 4 he : 7 8 . * rf 1 A - fine tare as ois «ORO vis YU a! . 148 br > 21282 Iq Vd oi jug 3 1 * 4.
ee 12 ry ~J arr ~A -MQarnwe= AI U : ode
ently declared in all theſe bookes]: as in Euclides Ele-
Tothe Reader of the fyrft booke. 2 Or chat it is fufficiently. decla- red in diuers bookes nowe ex- tant in our Englifhe tongue, HS wherefore I doo thinke it ſu- pertluous for to hhewe hat a 4 | Pricke is, or what a lyne is, or bat a Plat or Superficial is, or what Angles be, and what a ſholded bodie is, as it is ſuffici-
& 2 2 Med
mentes, and in Y. Thomas Dygges booke called Pan-
tometay, and alſo in M. Leonarde Dygges booke cal -
led Tectonicon. &c. A Circle Ser, er dra- g Circle.
wen rounde with a payre of Compafles , a Centre is 4 Cinmt
the myddle pricke, Circumference is the compaſſe, pens Ge
Diameter is the breadth of a Circle; Kc. A Dumetre. And furthermore, for that in chis firſt part there is
the conclufions of the Scall, and the Croſſe ſtaffe, fhe-
wyng by them howe for to knowe the diftance vnto
any place aſſigned: Therefore it is very neceſſarie
for to nove the partes of meaſure, as it is not vnkno-
wen vnto all men, what a foote is, and that. 12. yn- 9 oct.
ches maketh a foote, ſo. 3. foote is a yarde, and. 5. Parse.
foote is a paſe Geometricall: but ſome perſons haue aa Some:
been of that opinion, that. 3. foote is a paſe, which is
a yarde, but itis but a ſimple ſteppe, and fewe men are Aſimple ftop o
able to endure to paſe a yarde any long tyme togea- Farbe.
ther: but any perſon may endure to ſteppe two foote
and a halfe, all a day long togeather. Therefore a paſe
Geometrical, is two reafonable ft and that is hue > | epa, A pale is two
foote: and fo any man may endure all a day together, fepprs.
A ii. an
kadome is a myle.
NS Nerd 428 9 £ ATI ME @ the Reader Eo
re. pair io a anch tiv lie paſet makatlr a ſcote, and that is twentye
. 5 yardesgundtthat NE Th 6 ayfoote : and a myle con- Amulet is a teynetb. too Geometrical paſes, and that 18. 3000, that is wed foste, and that maketh 1666. yardes. 3. antl that is. 2. footer 1665. foot, and that contey neth 83 ſcore. q and that is. 20. Ane rg foore: Se, and d Rod is, 16. foote and a halfe, of lande
lobte. 2. ola meaſure; and. 18. foote is a Rod of woode meaſure,
mcaſuxt, and
Gawd accordiug to our Englifhe account: and. 303. Rodde 18. fonte ig a 15 E 4 N * . Rod of woode and. ff. Tat is halféa foote 9718 a myle of lande mea. meafure. „ fure and. 27-7. Rodde, and. 3 that is, 14. foote of 6.foote is aka- Pat He e Ton pion ie: balicns reer: Dome,and.833 Woodeineafuresisatayle, anda’ fadome is. 6. foote-. and that is 2: yards Sand. 10. fadome is aſcore and a my le conteyneth. 833. fadome, and, 3. part, that is n foot Bec, et eee e eee ene, And thus muiche haue! faide as touching our En. gliſne account, as concernyng the meafuryng of the length, or the diſtances vnto ati place aſsigned. &c. „ At BSHI ahn Heston en
~
i : ' 7 4 1 — o ate . — K 1 A Se einne 1110 0 + a *S K . — 15 9* ’ 1 F : cle V2 . 44 5 ? LE .
The frit Chapter of 15 firſt booke 3
— the making of the Qua-
drant with the Skall whereby you may _, knowe the height or loweneſſe of any thynge &c.
Dwe 3 fait part of this 6 3 boake called A Treaſure for Trauay- lers, ſhewing the conclulons of the | Stall whereby ycu may knowe the AIlkbeight ok anp Tower „ Steeple, oz 5 g)Cciall,opehebeightota Ppll, andthe
LA a eigenes vnto any marke alligned by 0 the Concluſions of the Skall. And also in this firlt part there is the Cons 7" dlultons ofthe Croſſe ttaffe: ſhewyng pe oboe ti length ofthe Cozten of a wall, andahe diſtance pereof , oz any Gowne more plapner then is ſhewed in M. Leo- narc 3 booke called Tectonicon, And alſo there is the making and the ble ol an Inſtrument, that may be called an Ho⸗ kizontal Sphere, to dꝛawe the plat of any Countrey fet out vpon he fate ok the whole earth: and howe to knowe howe to place the . latitude of any Toume, with other neceſſarie ges. cc. very neceflarie and profitable for al trauailers and surg either byſea 302 by lande, as Gonners and Captaines, leaders or men.
And nowe ſhall followe the making of a Quadzant, with The makyng of je Skal diuided but into. xii partes, although ſome wyl haue the Duanpant, it DitiDed into, 60. partes, and ſome into. 48. portes and fore wum the Saal. 1 and ſome into leſſe partes, accoꝛding vnto the ot ſundʒy Authours But J doo chinke it beſt to ulded into. 12. partes: fon that Diners people are deſirous owe the vle of the Skall, that are not ſeene in Arithmetike, the vſe of the Sokal is very neceſlary and pꝛof table fog neee a the Skal diuided but into 12. partes, any man map haue the aii thereof, But ik it be pitti
ili. : ded
dar N
119 .
Ded into, 48. 92. 60, partes, then it dooth require Arithmetik, which is not in many perlons: Mherkoze J doo thinke the Skall that is diuided into. 12. partes, to be moſt neceſſary and pꝛofita⸗ ble fa; al ſoztes ot people. And although that M. Thomas
Dygges iu his booke called Pantometria, hath wzitten thereok
generally, pet J dos thinke it very neceſlarie, to mite ot it parti- cularlp. cc | . 2 And nowe for the marking of the Quadꝛent, doo this: firſt take a peece of wel ſeaſoned wood, that is hard, and fine grapned. as Boxe, o; ſuch other like, 02 els you may make it in metal, as in Bꝛaſſe, o Latten. t. and then being wel playned oz poliſhed, and the larger, the better. | : wed | Fozina {mall Inſtrument pou may committe an erroure, ſoner then in a large: then be ſure that one ef the toꝛners haue a ſauare o ryght angle, and then there fet the one of the feete of pour come pales , and with the other foote of the compaſes make a quarter of à circle, fap that it is called a Quadꝛant, it is the. 4. parte ofa Circle, and no. 4. coꝛnered thing. And that beeing done, chen deuide the edge thereol into. 9 equal parts:and euery one of thoſe partes deuide into. 10. equal partes: ſa that then there wyl be in al. 90. equal partes: and euerp one of chole diuiſians op parts, are called a degre, x a degree is no other thing but a whole circle diui⸗ ded into. 360. equall partes, and then at euery. 10. oz. 5. degrees vou may make them, as thus. 5. and. 10. and. 15. and. 20, op els
The vſe or che ag this. 10. and. 20. 30. and ſo forth vnta. 90, foꝛ that the quae
degrees.
ov
dꝛants is diuided into’ 90. equall partes, and the bſe of theſe diui⸗ ſions o2 parts called degrees, is to know the heyght of the ſunne, oꝛ any ſtarre aboue the hoꝛizon, whereby they may know the alti⸗ tude or height of the pole of the world aboue the hoꝛizon, as J dee more at large declare in my booke that is extant. in pꝛynt called The Regiment for the ſea. &c. and allo the degrees are very neceſſary for gunners, ta know what ground that an peece of oꝛ⸗ denãce Doth caſt oꝛ cõuey the ſhot at the mont of euery degre, as J do moze at large declare in my booke called the Art of ſhooting in great oꝛdenance. c. And now furthermoze, for the making ok the Oral bpon the Quadpant, do thys; at the ryght angle oz eee make
of the treafure for trauatlers, 4
make a ſquare in (uch font, that the other toꝛner ryght againſt it doch ſtand iuſt vpon. 45. degrees, c loke that it be à ryght oz ſquare angule in lyke maner, and fo from that to the two fides there wyl be. 4. fquare 02 rpabt angule, and then deuide two of thofe ſydes, that is to ſay, the two fides that is from the copner where that the Vlummet thal hang towards the partes of the degrees; diuide ethe of them into. Ta. equal partes, and then marke. 12. at. 45. degrees, and then make two ſightes vpon one ok the fides ol the Quadꝛant: and thoſe diuiſtons, o2 partes of that, oꝛ next bnto the two ſightes, are the partes ok right ſhadowe, and then the other diuiſions are the partes of contrary ſhadowe. And here dooth folowe the demonſtration of the Quadꝛant, wich the Scal. ec.
The ble of che Skal is very neceflary and pꝛoſttable in ots
uers reſpectes, as to knowe the heigch of Pylles and Steeples, op Taunes, y Malles, and by the taping ofthe Zkal flatte, ta knawe the diſtance bute any thing, as vnto Shpypes ridyng at the ancoze in the feasog in anp hauen, oꝛ harboꝛow. c. But in my
der epinio,
h-H
se"
The hie ofthe Sih
opinion, the Socal of the back five of the Atrolobe fg the better:
arent ar} fee
’ fe te ne ei naktast =
K. the tréafure oftrducilers.
‘Buty au mute be lure that your Aſtrolobe hang vpꝛyght as pott may mye append oz plũme lyne from the tor ret of
¢ Akkrolobe. E. domune by the lyne to F. chen if pour Plumme be fut with the lyne. E. and. F. then it hangeth Abtes tit doe nt agree then it hanged) nat bpygbt.
1 The gerad Chapter is of upryght foadowe , that it te. fase toknow the heyghte of al he taken within the length of the 5%.
our followe the conelafons: of che Seall, boch ok the 4 Quadzant, and allo of the Actrolobe, but the Alrolobe te ; the be „Aud festen line of teuel called of Gouners the Fy 8 81 olathe turne the other five C. right with the lyne ol
nde ch ut pou may locke choꝛow both che light A. and B. rs that pot fe chopotw is leuel wich the ſight of pour eye, ther nox lower. Now if that you wyl know, the heighe Wne oz bpzit . rn turne che Achelida C. to Fa bpan che parte 12. then goe for: Nhe 06: bathtwarys, mabe dor Tee He top he of the wall of * im Raw Se ee how many foote the Sal. 3 fii ithe middle irae tis toe hard watt, slo man foote UM ishigh. and as much as it is kram pot eye, vowneto g tte, chat pa mitt adde to in ali pote heightesz x looke 0 duell, and be fare chat 5 zoll ktannd öpright, and it I, ith iN pas bpꝛighe | a C. bpon Mie ok bpzi adowithen 4 elczt is 1 i rete the 1 8 to the wal. 12. * — time inde 75555 17 1 0 height ofthe wal, then the Athelida tion. | the pare 2 chen ſl 1 5 e 7 „hall bee 1 a 3. chen 4. tymes ice hall be ne cen aten 4. alen che height 81 the mealure of the height of the
5 * } 4
a is a * . 1. - “x ’ N J 1 e Bete
wal, the Athelida bps the par to. ch mete to the wal double, the ne * ſure thalbe the height ofthe wall. Alwapes pꝛouided, that pou as
to the mealure the length ol pour body, from pour eye to pour feet,
now ſhall poubaue a Way to get the heigbt of a ſteeple oꝛ wall that 3
hath a ditchꝛbut then pow muſt haue two ſtanbings: and Mill fop
upꝛight ſhadou, ſet your Athelida vpon the part 12 chen looking
choꝛauthe lights, holding it byon pour thombe as aloe is rehear⸗ ſed, then with the midle of pour foote let a mark, then turne tbe A> chelida to the part Gol vpꝛight ſbadow, aud there make an other marke, then mete bow many fecte itis, betwixte the 2, ane dings, then double (hac mealure Mal be we height ofthe ſteeple op wall the lirſt anding vpõ the part 12.then turne the Athelida to the part d. ol right ſhadow, then mealure the grounde z. times: that diſtaunce fhall be the height ol che ſteeple op wal, the lirſt vpon the part 2. and the ſecond vpon the part 9. then 4. times the mealure hall bee the height ok the ſteeple, the lirſt ſtanding bpon the parte
12. che nett on the part 20 chen the mealire berweene the tun ſtã· dings (hal be che 6. part of the height, the fick ſtanding an the pare 2. che next on the part 13 che melure vetwene the Randings Halt
be che 12·part ok the height. pet kurthermoꝛe lo vpꝛight hadow, fir fee the, Athelida vpon che parte 9. ok right ſhadowe, chen do⸗
ing as afoe is ſapde, ſet a marke wich che midle of pour keetethen turne che Athelida ta the parte z. ak rigbt ſhadow, and there fet a
mark, then mealure thole twa ſtandings, and then dauble that mex ure that hall be the height ok the Steeple oz wall, oꝛ the firſt kan.
ding bpd che part d. v the next bpd the part 4. the doyng as before is aid, 3. times the melute ſhalbe the beight of the ſteeple oz wal,
and che firtt Zanding vnon the part 10. and the next byon the part
6. at vpꝛight hadom, then dayng as afore is layde meaſuring che
diſtances 3. times, that mealure halbe the height ofthe ſteeple o
wal. Oꝛ the fel ſtanding pon the part y. x the next bpon the part 6. ok upright ſhadom, then doyng as befqge is rebearfes meſuring
the di kainte 12 times, that meafüre ſhalbe the height ofthe wal.
Op the fick ſtãding vnon the part . x the next vpon the part 5. chẽ mealure the diſtaunce 6. times: that mealure ſhall be the height of
eye wall. Thus much haue Jlaide fop vpzight ſhadow e ige
thadow
of the treafureof rrauelers, 6
bbadahm fs tts, all ame aal beigbt i within 51 tom⸗ Fate of ye length mast ate u niente
oan hie mire as a . ne
wed
et — - ; x 1 * * 91 sa. it „donne oat: re € 4 * 9 + - * 2 1 24 = sf 1 8 fxg 5 Pi Bie ay mea . , * 22 * by , s - 1 1 ‘ : :
Ma EE
Bya Tome oꝛ ae being i foot high of store Melton“ Enraneyte: of upꝛight ſhadow afore rehearſed the firit was the Athelida bpon the part 1 2. and to the wall the meafure of the grounde was 0. fot, ⁊ thẽ from mine eye tu the ground wis 5. faot:ſo chat Go. foot and 5. fast, make, 65. foote. Sa J conclude the whole height of the Came ta be 65. kaote. The next is the Achelida vpon the part Ian the ground to che wall 5. fate, ſo a, times 5. is 60. then the next was bpon the part 2. and the mealure 10 foote, and fire times ro is 6. the next vpan the part 3, and the meaſure to the wall 15. koote, then 4 times 15. is 60. the next was vpon the part J. and to che wall 20, fonte, and thꝛee times 20. is 60. whe laſt spon the part e 30. loote, and 5 30. BOO, 5
ay ers 4103 * *
Snfamptes of aur co
tie Falbions Pala A 1120 ge wal ian tat in
er ſtanding es. dyngs, the firſt ſtanding vpon the part 12 the next vpon the patts 4 6 and the meafure betweene the 2. tandyngs is 30.foote,tben2, times 30. is GO. then betweene the parte 12. and the parte 8. was 20. foote, and 3. times 20. is CO. then betweene the parte 12. and the parte 9. was 15 feote. and 4. times 15. is O. then between the parte 12. and the parte 10. was 10. foote. and 6, times 10. is 66. then betweene the part 12. and the parte 11. was 5.foote, and 12. times. q. is 6. And nom furthermoze tobere you coulde not goe fo farre back as the part 12. che one ſtanding vpon the part g. and the other vpon the part 3. the meaſure of grounde was 30. foote. then 2. times 30. is 60. the one ſlanding vpon the parte 8. and the other vpũ the part 4. the meafure was 20. foote. and 3 times 20. is CO. then the one vpon the part 10. and the next vpon the parte 6 the mealure was 20 foote. and 3. times 20. is 60. then the firfte fan dyng vpon the part 7. and the next vyon the part b. the ground be⸗ tweene the 2. ſtandings was 5. foote. and 12. times 5. is GO. the one ſtanding vpon the part 7. and the other vpon the parte 5. the mes fure betweene the 2. ſtandinges was 10. faote. then 6. times 10. is 60 So pou map fe that euery wap the whole height to be 65.footes adding vnto it as befoze is ſayde the length of pour body being F. koote, thus much haue J layd of 2010 ſhadow, and nom follow
e @ etb.contrarp{pano, irc v8 els wiki
Phe 3 3. Chapt penn, ws 7 bern. 522 n 2 of with the Scall by contvary Shadow ( i hat is to ayy 0 the length of any 978 fe. N
0 0 köiewetb contrary addw, Faun nes ig ‘hig shat when ſdeiler an helgkeis taken without the height oz length ok anz things us folate art ding as belope is laydzin al ppities putting his thinnb thopotrite ring of the Adteldbe, ſet the Acheli onto the part 12 chen with the mitate of pour kost ke a mark, the turne Wan töthe part 6 wvfcötrury havo wurhẽ gor babwards til you map fe the top, ote mee ote ta
of the treafure for traueilers.
Ae ttedes ofyour Alrolobe, being thre that it is hanging plite vpꝛigöt. THE as the middle ol pour foot there make another ma, then mealure how many foote there is between pour. 2. Riding,
ſo manp foote is the height of the Steeple oz Towze. The in lyte manner at the firſt anding, the Athelida vppon che part. 6. then turne the Athelida to the part. 4. of citratie ſhadow. ChE meeting the grounde betweene the 2. Aandings, it ſhalbe the heigbt of che Steeple op Come. Then in lyke manner the Arhelida at the one n che other vpon the part. 3. and then
the grounde betweene the. 2. ſtandinges, halbe che
5 ot Steeple oy Conne then at the one landing the A ⸗ 2 at the part. 3. and the other ſtanding the Athelida vpon iht mealuring che grounde betweene the. 2. Handings,
dale t aad ja meee fhalbe fe height of the Tonne, Steeple, n
N ſtanding the Achelida on the part. 2. F the
ere teaming, the Aicheliva vpd the part one: then meaſure Howe _ many pales oꝛ foote was between the two ſtadingx: the. 6. patt ot cha mealure ſhalbe the height ol the lleple o eine be peat Ge fre that the ground be plaine e leuel: oy tile it may etre. ibi n pour better enlample, by thisfpgure bere vnder made, me
Steeple that is from the toppe vownet to che gromde. 1 120, a fre of” by ah from the koote to the toppe of the thafte oz ſpeare, and nowe = — by che height is knowne the diſtaunce, as pou ſhall knowe by all dow. the queſtions beloꝛe reheat ſed. Firſt the Athelida at the iri fan: ding was on che part. 12, and at the nexte * che part. 6.
B. iii. and
«Lhe firft Booke.
and the assis betweene the. 2. landings was. 1 20. e
J doo conclude that the heyght of the ſayde Steeple is 120.
fonte from the grounde to the toppe, and the diſtaunce ta the ſayde ‘Steeple ts. 240. foote, that is. 48. paſes: « the height of the Stee-
ple. 24. paſe. Chen frõ the part.6.ta the part. in like maner once the height ol the Steeple, and the diſtaunce to the Steeple, is.3.
tymes the height, tzat is. 360. foote ta the Steeple, that is. 72. pale: then from the part. 4. to the part. 3. is once the height of the Dieeple: and che didance to the Steeple is. 4. tymes the height, that is. 480. faote to the Steeple, that is. 96. pale. Then from the part. 3. co the part. 2. is twice the height ot che Steeple, and the
diſtaunce to the Steeple is. 720. foate. that is in paſe. 144. pale.
Then from the part. 2.ta the parte. i.the diſtance of grounde is bes tweene the. 2. Tandings. 720. faote, that is. 6.cpmes the height of the Steeple: and the whole diſtance to the Steeple is. 12. times the mbole height of che wall, that is. 1440. faote. The ſũme of the whole viſtaunce from the part one, to the Steeple „and that fame in pale is. 288. wich maketh. 24. ſcoꝛe:and at the parte, 2. the di ⸗ Ataunce ok lcoꝛes is. 2. chen at the part. 3. it is to the Steeple. 8s. ſcoze, at the part. .it is to the Steeple.6, (operat the part. 6, tt ig | tu the Steeple. . ſcoꝛe, then at the part. .it is the tut height of the Steeple, being. 1 20. foote, that is. 2. ſcoꝛe, adding as bełoʒe is ſayd, ſo much to the height of the Steeple, as from your eye to pour feete, which you ſhall doo in this ſoꝛt. And ſpecially ik the diſtaunce be farre from the Steeple at euery ſtatian, ik you wyll worke exactly, when vou haue taken the height, urne potir Aſtr o⸗ lobe( the Athelida ſtanding as befoꝛe) not remouing pour foote fra that ſtanding, chen looking thoꝛowe the ſightes, turning pour face directly from the Steeple, then whereas pour epe dooth reſt, there fet a marke :then there is no doubtes but that pou ſhall take the true height and diſtaunce, dooyng this at euery fampngs pour grounde beyng plaine and leuell.
The
of the treafure for trauailers. ue The fourth Chapter foeweth home for to take the |. parte of any height as the length of @ wyxdaw or
NI Ow furthermore to take the part ofa height. vou may in uke manner, doyng as afoze is rehearſed in all poyntes, : and allo pou mape with the Scal of the Aſtrolobe take the length of a pinacle 02 a windowe oꝛ windowes, the one auaue the other, you may take the meaſure between them as thus: Set pour Athelida to the part. 12. chen goe backt wardes oꝛ fox» wardes, tyll chat pour ſightes doo agree with that ching that pou woulde take mealure of, letting pour Athelida ſtande fll at the part. 1 2. Then in lyke maner take the other ende of that tbyng whole length pou Doo meane to take, then take pour light as greeing wych ibe other ende of the pinacle , then mealure the grounde betweene the. 2. landings: that ſhalbe the length of the pinacle, windowe, o craſſe, as by this figure it map moze plainge lp appeare, as fo; enſample chis. |
\ )
MEAN
5h
; Wa
8
» The firf Booke. 5 Kirk aviv tetthe Athelida e 2. 3 ag bes fore is layd: and tooke the vyperlide of the windowe, and at m
Enlample iu Foote made a marke, then J went nearer the Steeple, and tooke
che taking of che poynt ol height.
the lower ende of the windowe as pou map fee at the letter. A. then
Amealured che ground betweene the. 2. ſtandings, and kounde ie 20 loote, ſe J doo conclude the window to be. 20. fuote long. Th
in lyke manner J tooke the Pinacle, dooyng as afore is rehear⸗ fed, firt at the toppe, and chen at the kaote, the Athelida a
till on the part. 1 2. and faunde the meafiwe betweene the. 2. fan:
dings. 1 5. loote, che iuſt length of che pinacle as oy the. allynes B. it doch appeare, then betweene the. 2. croſles, dooyng as before ta layde, and founde the diſtaunce betweene the. 2. ſtandings. 10. foote , che length betweene the. 2. ſtandings as bp the, 2. Enes
Oudooch appeate, and ſo doo by all other mall partes.
sh Tbe fifth Chapion foewiech home cs bene 33 Naur e of mau things thas is from pos. and ulſss whether any other towre ‘be higher or lower then 9 * the towre that jeu be von.
1 f
Y Et furthermone by the Socal ofthe atrulbe funny knots a when pou be on the toppe of a Towze, oꝛ toppe ofa Cattle, howe karre many thinges bee from you, and in lpke man height ok an other Towne that hall anv neare vnto pott. Ar ſo howe much that one Come is higher chen another, with Die uers profitable chinges moze, as this: Firſt il pou know not the height of the Come chat you be on, then take a Ipne, hanging a Plomet o leade op ome other fiehethyng , then let it Downes: uer the wall ta the ground. Thẽ by che length ofthe tyne you that know the height of the Torn op wall that pow be von, then when pou know the true height ofthe wall o Tonne, then take pour Attrolobe hanging it vpõ pour thombe by che ring, as afore is declared, chen looking thoꝛowe the fightes in order, as afore
bodo to know is rehearſed. So ſhall pou kynde the diſtaunce, as this: frſt, at the Bilance by the part. 12. looke what the height of the wall is from the ground, lo dae. karre it is to the marke that you do {ee choꝛowe the ſightes of the
Achelids,
of the treafurefor tranailert. 9
Athelida, turning pour. allt olabe that the ſigbtes may goe downes
—
che thing that you ſhall (ee, dhe the ſugbters Halbe. A. times the height ol the Towze oz wall: then on the part. 4. ot contrary
fhavowe, chat thing that you doe lee thopowe the fightes thallve
3. tymes the height ol che Cote oz Caſtle, ten onthe part. 3. u Halbe. . tymes the height or the wall te that thing that you
hall ſee thoꝛom the ſightes. Then onthe. part. 2 that ching that
vou ſhall ſee thoꝛoꝶ the ſightes, ſhalbe. 6. tymes the u hole height of the Compe oz Mall. Then the Sthelida onthe part one, that thyng thaspou: thall ſee ehoꝛowe the lyghtes, the diſtance wyll be 12. tymes the whole height of the Compe oz Caſtle, oz wall, aa fo by this figure following. 1 e oon
|
* om; 1 \
5 £ NUR
—— a
Wy WAN -
N Ns
By a Tome beyng founve to bee. 60. koote hyghe, at the part 12. the adowe to runne domnewardes , it is. 60. foote of, at the parte, 6. the ſightes dyd ſhewe pou that thyng that was 120, focte of, that is. 2. cope, at the parte. 4, 180. foote of, that ‘ts, 3. froze, at the parte. 3. che lightes hele pou. 240. foate ot, chat is. 4, ſcoze, at the parte. 2. all thinges ſeeme krom the toppe of the Towꝛe thoꝛowe the ſyghtes, as. 3 60. foote of hat is, 6.
ok, at the parte one, all thynges ſeene thozotwe the fim Then at the p 1 55 | fabs:
/ 9
wardes, then the Athelida on the parte. 6 Uk contrarp Mavawe,
An enſample:
— Hightes from the toppe of che Compe hall bee. 12. pedo karre krom the wall, as the wall oz Towze is in heyghte, that is. 720, foote from the Call, and that maketh. 1 2. (core: Node ik that there were another Towze oꝛ Mall neere vnto pau, pou maye knowe howe manpe foote that it is hygher then
that whiche pou bee on, as thus. Fir doopng as aloze is dee clared, pou ſhall kuow how man fooꝛe that the Come is hygh. thus by this aloze rebearſed, pou ſhall knowe howe farre that the other is front pou, Then let pour Athellda ta the lyne of Leuell , fo ſhall pou lee whether that the other Compe bee hygher then that wbiche pou bee on; then to knowe how much that the other Compe is hygher then that pou bee on, doo this: Firſt looke howe manye partes chat chere is from the foote o bale ok that Towze that pou woulde knowe ho che that the one is hygher then the other, to the ryghte lyne called
the Ipne ok Leuell, then turne the Athelida tyll chat pou doo ſee the toppe agree wyth the. 2. ſightes, boldyng the Aſtro⸗ lobe by the ryng bppon pour thombe, as before is rehearled, as thys: The foote ok the next Towꝛe ſeene thoꝛawe the lightes ac the parte. 12. then pou ſhall deuyde that height of the To⸗ Bo knoto bol wie that pou bee on, into. 12. partes.” Then tooke howe ma: Comets upe feete that there commeth vnto a parte, then turne pour pigber op lem Athelida eyll that you mape lee the toppe of the nerte Come, — — 4 ange’ ang fooke howe manpe that cammech onto, adde fo manpe Toote of the meaſure of your oume Come, to the other Compe, Then at the parte. 10. if pou doo fee the foote of the nexte Towꝛe, deuide the heyght af the Comme that pou bee on, tus to. 10. partes, then lodke Howe many partes „ that the other Towre is hygher then pours, adde ſa manpe foote moze to che heyght ol the other Towze as the partes of feete dooth an⸗ ſuere of your own? Towꝛe, then in lyke manner „ ik pou fee the foote of the Towze at the parte. 6. deuide the heygbt al pour owne Tome into. 6. equall partes: then locke howe manpe partes chat the other Come is hygher then pours that vou bee on, adde ſo manye koote to the heyght as thoſe 2 dodo
of the treafure for trauailers. 10 dootch come Unto: and ik you doo: fee the foote of the other To⸗
me, atthe parte. 3. then deuide the heyght of that Come that pou bee on into. 3. equall partes. Then locke hawe ma⸗
nie partes that the other Tome is bygher then pour Tome,
adde fo: manpe foote as thoſe partes dooth come vnto the
6 — Tome, as thys fo; an enfample, by a Come that is 60. foote hyghe. Then J tooke mp Aftrolobe and turned
the Atheliva to the parte. 4. Then J dyd (ee the baſe oz foote of the — > then that Tome that J was on, the toppe beyng. 60. foote hyghe, Popo deuide it intn. 4. equall partes, and that bpd aunſwere to. 15. foote a part: fo this I am aſſu⸗ red of, that when J dyd fee the Achelida to the lyne of Leuell, chat it was iuſte the A — Tome, that place wbiche A dyd fee vppon the
€ntanples,
Wa hi Boos
Then J dyd turne the Achelida ſtyll aboute, eng where Yo
myghte {ee the toppe of the Caſtie: chen at che parte one and
a halfe „J myghte ſee it nuſttye wich bath the üghtes, then
dyd Nadde. 150 fonte and ahalfears cchat is. 7 and à halfe, and thuſet 2 ſummes make 2 2 1 fdote aud a halfe, and then put, 22. fate and a halte; tai Go, ioo en maketh. 8 2. faate, and. J. che whole heyght of the other Towe oz Caſtie. Met foz mare plapnenelle, tye another Come ok. 50. foote hygh which Amas uppen, Iſtocht my Actralohe and dyd as afore is ſapde z And A lawerche pate: w -faote, of che othet Sowre at che parte. Or then N dyd druide the heygbt of che Gouge that Tua enten 10 cu nrtes; beyng : 0. luote hyghe ann eule rge one of chole partes Tame tu. foote. Then A dyd tale the Ackrolobe and turned che Athelida, tyll that N coulde ſee the berie toppe ok the other Towꝛe thozawe both the ſigbtes: and then at the parte. 4. Jſawe that it was true. Then J ops adde. 4 of thoſe partes, whiche was, 5 koote, to a parte, and that came to. 20, foote. So that the ane Towze was hygher
then the other by. 20. koote: fo J bpd adde. 20. foote tu. 50. foote, wh ych maketh. 70. foote. Do J dao conclude the whale
pbeyght ok the hygher Tome to bee. 70. foote iuſt. Pet ana- theremſample of. 2, Towzes fiel, that Tumze that J was on £0 bee. 40, foote hyghe, and J. laws che bale op kate of the o⸗ ther Come at the parte. 2, of contrarie ſhadowe. Then J dyd
deuide that Tobpꝛe that J was on, into. 2. equall partes, and ; that dyd aun were to, 20. foote a parte. Then J turned my
Akrolobe, and remoaued the Athelida to the parte one. a Iſame the toppe of the other⸗Come tharowe the. 2. ſygh Then dyd J adde one of thele partes beyn r. 20. foate, tt heyght of the other Towꝛe, which maketh in all 60. foote se 4 the true heig t ol the other Cowze, 28 bp cheſe. 2. e pou Seas peveep: We.
— FFW SY BE OR aE ee tenses neon Folie
8
og. .
oe 8 of che treafure for trauailert. 1
ba mer nl zn fic oS higu:.\ prebh aul Cli ale ah ¢zaOuli + be ob ; 10 hea 433 458 51. Urnen 14 14 1
woch nac ssen
S|
1717/76
r — 939392025 sz - Ja tiniod ory | ete hes he
vu y Know ham much the lower Compe is ſhoꝛter then the as cee eng the height of your Tome that pou bee onpthen take the foore, oꝛ baſe ał the hoꝛter Tome with pour A. ftealabe(as be lose is lande, ) then looke hom many partes it coms me
vnto, dende the height of your Tame that pou be on, as pou,
dad before:thenturne the Athellda, till chat you may fre the top of
—
ermoye inIpke maner, i you be on the higher Towꝛe,
177116667 . Lal W. ii
EEA HAN
thethacer, Come stake; fo much away trom the height of your
: ter Tome, then looke at what par: pou map fee the top of
owne Tame, is the hartes doe come vnka: then that whiche Hall remayne, all be the height ol the hayter Tonne, as for enſample
thus: y a Tome that vou were o i, being 63.foote hye, and vou
lau the fogte of che other Tame, thoꝛo wo the fights at the part 9. ofranteary hadom, then denide the whole height ot pour Come
chat yon he an into 9 equal partes, and euery one of thele parts counmeth to 7 kate, mee 15 Athelida, tyll pou may ot = 23 ;
11
To know bows
much any To⸗ wer is le ver then that you be on.
Enſample :
De frp: Boe
the top ok the ſhoꝛter Tobe agree with both the agbtes, then at
the part 2. you did fee them, the one of thole parts being 7. then 2 times 7.maketh 14. Do that the lower Comer is 14. foote ſhoyter
then the other. Then pull 14. out of 63. foote, there remayneth but 49. foote, ſo you map fee the whole height ol the lower Tow⸗
er to be 49. foote, and thus tne by all other sia Caſtles, a e alles. 4
17 be 6. Chapter beweth how for to knowe the height. of a Hill aud alſo the diſtaunce unto the toppe. 77 any Hill with the Scall.
5 Nau furthermoꝛe, by the Socal of hey age „vou map:
take the height of any Pyll, and alfo ofthe diſtaunce vnto
the toppe of the Oyll, by the Lyne Hypotheneiſall, as though there were a Lyne made fat to che top of the Hill, as heereakter folom .
eth. Firſt that pil that pou doe require to know the height ol it, oꝛ to know the number ofthe pace, oz feete, that is aboue the
grounde that pou bee on:then ſeeke a plaine grounde neare about: fhe hyll, there where pou may fee the top of the hyll, then doynge thus. Firſt turne pour Athelida, tyll that you may ſee the toppe ok
To knowe the
tight of abril,
sete hom manp pace, that ie was betweene the parte 6. and che
the hill thoꝛow bach the fights’, pour Aſtrolobe hanging vpꝛight, the Ring being vpon pour thumbe, then looke at what parte chat
the Athelida ſtandech on, then arcoꝛdingly as pou dyd fee. beloꝛe, by
the taking of the height of Steeples, Towers, oꝛ Mals, meating
the ground betweene the 2.ſtandinges, to be the height of the hill, as pou may know by this enſample.
Fick I ſeeking out my grounde meete fo my purpofe, to bee as playne as J can fynde it, ſirſt, at the part 6. Fleet the Athelida, and {anya J fee the top of the hyll, for nearer I coulde not {ee it: then J dyd turne the Athelida too the parte 4, and then where Y' fain it agree with the ſightes of the Aſtrolobe, there J began fo? to
parte
the treaſure for tratailers, 12
will ſtande in the quantytie Lyne. 316, and wyll remapne 144. whiche is „, Therefoze Joos conclude that the L pne ſpoulde bee ſtretehes from the toppe of the hyll downe tpa the lightes of mine eye which is the Lyne Pypothenulal, ts bee 316 pace, and one foote and better, the iuſt length of the hypothenulall Lyne, a3 by this Enlample it doch moze plapuelp appeare.
Going! 1 n 8 T 1 0 1 1 Citi: : Sa
So by this Hyll pou may fee chat the height ofthe Hyll wagas.
boue the grounde,thatte was taken bpon 100. pace: that is 0
dtcote and that maketh d. ſcoꝛe, and 20. fpot: x the diſtaunce to the
To knotwe the wideneſſe of Waters.
ſteadye thinge, layinge that flatte wich the Scall vpwardes:
Center, o perpendiculer, oz plumbe Lyne imagined into the
to be zoo hace that is 1500. foote, which maketh 25 (cope, and the Hipothenulall Lyne, krom the tap ok the Hill to the ſtanding,
at the part 4. is 316. pace, neare 2.foote, which is in fete 1582: and in ſtoꝛes, 26land 22, foote, as the ſigure afore made doth re⸗ pꝛeſent. And chus doe by all other hilles, whether that it be a pare
ata Hill op a whole Hill, all is one matter. 0 The 7. Chapter ances by the Skall of the : Aftrolobe, | ve
to luom the trae wydeneſſe of any water, or how farre
that any ſbip it of from yon, or totake any great diffance
Ey laying the e Aſtrolobe flat before 3os with the Scal! upwardes,, *
„Et furthermoze, by the Scall of the Atrolobe you may known: Y the wideneſſe of Maters, and the diſtaunce from place too
place all alonge the water ſyde, and alſo how farre that aß
Dyipye doeth ryde from the ſhoare lyde, and alfo how farre the Shippe is ktom you: whereby you may make a perkece ſhot, very pꝛofytable for Gonners ta haue the ble of, as heereatter kol⸗ lowech. Fyꝛſt, take pour Aſtralobe, and ſette the fame bpd ſome
Then turne the Altrolobe pl chat che Lyne ok leuell doeth ſtande
—
—
of thetreafiré fortrauailers. —¥3
Fe
4 as the thoare ſide, as thoſe that pou ſhould ſet the Athelida with the line ok Leuei, to looke al alongeſt the waters fide: then ſhall te plumbe lyne of the Aſtrolobe ſtande directly croſſe the water, 1 then al thinges ſeene right with that line to be right ouer the wa⸗ tt! ex: chen pour Aſtrolobe lying ſtyl, turne the Athelida to the part Iz. then looke what marke oꝛ banke that you ſee hard to the wae thꝛough the light of the Athelida, marke it: then take pa il going directly by the waters ſide, tyll pou come right againſt the marke taken vpon the other five of the water, ſetting pour Aſtrolobe as befoꝛe is rehearſed. Then ik the perpendiculer lyne doo directly poynt to the marke afore tas ken, then the meaſure betweene che two ſtandinges; ſhalbe the
true bzeadch of the water.
Furthermore, che Aſtrolobe ſtanding as afore is reheatſed, ſetting the Athelida vpon the part. 6. of the right ſhadowe, then double that meaſure betweene the. 2. ſtandinges, that thalbe the bꝛeadch of the water, then the Athelida vpon the part, 4, of right ſhadowe, the Aftrolobe fet as afore is rehearſed, then the meaſure betweene the. 2, ſtandinges, ſhalbe the. 3. part of the bꝛeadth of the water, and fo fooꝛth to the part. 3. to the marke right ouer the water, ſhalbe the one quarter of the breadth of the water, then. 4. tymes the whole meaſure ſhalbe the breadth of the water: oꝛ to take the bꝛeadth of waters with the Skal of the Aſtrolobe, is no other thing in the dooing of it, but as you doo take the height of alles oy Comes in al poyntes, ſaupng that in the takibg of heigthes, vou doo hang your Aſtrolobe by the Ryng Spon pour Thumbe: and for to take the breadth of waters, vou mulk Tape. pour Aftrolobe ſteedy afore you, and the line of L evel ta ſtande al along the waters ſide, as circumſpectly as pou may oꝛ can: then pou mult make your meaſure al alongeſt by the waters ſide as by this enfample folowing, of a water that i Ig meaſuted, aud is. 36. froze auer it.
a D.i. Fit
Anencauple.
He Ele E „ne. 56 ScorcC. te
Firſt I take mp Alkrolobe, and come to the waters ſide, and laye mp Alrolobe vppon ſome ſteedye thing, and lape the lyne of Leuel all alongeſt by the waters fine, then the thwart lyne of the Attrolobe poynted init thwart oꝛ croſſe the waters ſide, neare to the Church ende: then J turned the Athelida to the part. 12. fo
I ſawe a pollen tree thꝛough the fightes : Then J tooke vp my As
ſtrolobe, and begaune to goe, mealuring the ground bp pale, twa ſteppes to a pale, and that made. 5. foote, which is a Geome rica pale: and. 12 ok thoſe paſes make a ſcoꝛe: And then J came right again t the tree, yꝛouong it wich my Aſtrolobe, and ford that the meaſure was from mp firt ſtanding, tyl Jtame right againſt tt,
432. pales, and that maketh. 36. ſcoze. Do J dyd conclude the
beadth of the water to be. 36. lcoze, front banke to banke.
*
4
— ‘7
a
| of the treafure for widiiailers, 14
Then furthermore J turned che Athelida ta the parte. 6. and then J (awe a polled tree at tze houſe ende: then J went mea: luring the grounde, and founde that the grounde was. 216. pas
ſes, and then J was right againſt the marke, and that was. 18.
ſcoze: chen two tymes. 18.18. 36. Then J turned the Sthe⸗ lida to the part. 4 ot right ſhadowe, and mealured the grounde, tyll J came right agaynſte the marke taken thꝛough the lightes of the Athelida, and founde the mealure bet weene the firſt ſtan⸗ dyng, and the next, one hundꝛed fourtie and foure paſes, that is, {cope > chen thꝛee tymes twelue ſcoꝛe, is thirtie fire ſtoꝛe. Then che Athelida ſtanding vpon the parte. 3. J meslured the grounde betweene the two ſtandinges, and founde it to be. 80. pales, that is. 9, {core , and the fourth part of the bꝛeadth of the
water, ko; foure tymes 9. is. 36. Then the Athelida vppon the
parte. 2. Alwayes pꝛouided that pou doo as before is reheatſed, meaſuryng the grounde tyll pou come directly agaynſte the marke taken, ſhalbe thꝛee {core and twelue pales that is sfire
ſcoꝛe: then fire tymes fire, is. 36. Fa vppon the parte. 2, che
grounde betweene both the ſtandinges; is but the ſixt parte of the wydeneſſe of the water. Then at the parte one, the ground betweene the two ſtandinges, ſhalbe but the twelkch parte of the bꝛeadth of the water, that is. 36. pales 5 and that reef icone: then. 12. tymes thꝛee, is. 36.
Name furthermore , if you wyll knowe che length of att of
the Dypothenulal op flope Ipnes , then extracting the roote , the ſen
*
To knowe the
gth ok the
length of that lyne ſhall appeare : fo that wich the S kal of the A. flope lyne, by ſtrolobe, you maye knowe any diſtaunce, being ſure that you the extract of
doo mate a ſquare Angle, by laying the Aurolobe flatte afoje '
e Ro oe.
vou, cuen accoꝛdyng vnto the Conclufions , when that you’
boo hang the Aſtrolabe. And alls yon maye take a greater diſtaunte, and allo a lar: ſtation, whereby you maye wooꝛke moze exactly „by laying it, then by hangyng ol it. Foz that there is ſeeldome any greund, but that it is higher oꝛ lower in one place, then it is inandther, &
chat mape bꝛeede a notable errout, it it be not well cauſidered ok.
Sue if you doo laye the Skall Rat bef ze pou, contivertig: 7 D.ii, - the
—
De fiſſ be che conclulions, vou may commpt no great errour, being ſure, that in pour remouyng, von doo make a ſquare Angle, and then mealure the diſtance of grounde truely, fo, thence are manyfolde notable conclufions ta be donne with che Skal, as by this von maye knowe howe farre of that any Syyp dooch ryde at an ane ene in the Sea, oꝛ in any Baye, oꝛ Ryuer: vou may knowe cer⸗
tainely hawe farre thee is from pou, fo that (hee be not moueable:
And alſo pou being beſieged in a Towne, may knowe howe farre any thing is from pou: And alſo iẽ pou be without any Towne, por my R name by the Sal ofthe Quadrant or Aſtrolobe, yowe karre any Tome, Bulwarke, oꝛ Steeple is of fram pou. c.
The eight Chapter fheweth unto you, ifrhat yon doo e tze dyfance, then youmay know whether that it be hygher\\ round or lower ground then the place that you are pon, and home much both By theparces of the Stal, and by ib Aegreet: and alſo jou may kuow whether that one ſbippe be higher then an other Cc. l Al 10 Sau se ss
md furthermoꝛe, yon knowing the dyſtance bute any place aſſygned, then you may know the height of any Hyloꝛ Ste- ple ox Cope; or the deepenelle of anp valley by the parts
e bkthe Scal, as thys: The dyſtance being known, ik that it om f anom howe he hygher oz lower by one of the parts the Scall ta be deulded isbigheeg 12. partes: then the thinge is higher: op lower by the, x 2. parts lower then the ok the diſtante x ik it be higher oꝛ lower by two of thoſe partes — vou then the thyng is higher oꝛ lower then the place that you doe eb ftande bpon by the firt part of the dittance »And if the thyng de Towze, Stee. higher oz lower by. 3. of thoſe partes, then the thpngelotaken, 510, Cette, (hall he hygher oz lower by the. 4. parte af the dyſt ance and if that aller. cc. it be higher oz lower by the. 4. part, then the thyng ſhalbe higher oꝛ lower bythe third part of the diſtance: and if that the thing be higher oꝛ lower by the. 6. part or the Scal, then the Oy l opvalley hall be higher oz lawer by halke the diſtance. te sc f
2 the treaſure for trauailert. 15 le this: Jlaping the Skall flat, toke a marke bpon Nee wll, oz in the botome ofa valley: and fo woꝛkyng as is declared in the Chapter going before, and kounde the dy⸗ ſtance to be. 24. {cope from me, and then J deſire to knowe howe much that the yl was hygher groũd, oꝛ the valey lower ground, then the place that J ſtoode vpon. And then J tooke the Aſtrolobe and hung it vpon my thombe, and ſo J ſawe that the Hyll was hygher by the one part. Therefore IJdpd conclude that it was. 2. {core higher, that is. 120. fuot hygher groũd then the place that J e ſtade bpon,fop that the dyſtance is. 24. {cores and the. 12, parte of e 24. is. 2. CGberine pfthat it were a valley, then it were. 120. foote lower then the ground that J ſtoode bpon. cc. And then i that it were hygher op lower by the. 2. part ofthe Skall, then it ſhould be hygher oꝛ lower then the place that pou ſtoode vpon, by the. . part of the diſtance, that is. 4. ſcoꝛe, and that maketh, 240. koote. And furthermoꝛe, if that it were hygher op lower by. 3. of the partes ol the ſcall: then the ground ſhould be higher oꝛ lo⸗ wer by a quarter ofthe diſtance, chat is. 6. (core: and that contay: netl 360. faote. And furthermoꝛe, ik that it were higher oꝛ lower by, 4. ofthe partes ofthe Scal, then it ſhould be higher zo lower by the third part ok the diſtance, that is. 8. (cope: and that cons tayneth. 480. faote, xc. And this J do take to be ſufficient for an enſample. And nowe furthermoze, ik that the dyſtaunce ne berp farre, and alſa the Scal demded but into, 12. partes spe te ; vou myght know the height of a Hyll, oꝛ the deepnelle ofa baley, 5 by the degrees of your Aſtrolabe, oꝛ Quadꝛãt, as this: the diſtance is bygher, oz being knowen unta anp macke vpon a Hyll, oꝛ in any valley, if lower by de- that it were one degree higher op lower then the place that pou An entample of do ſtand bpon then the thing ſhoulde be higher op lower grounde chyps on the by the. G0. part of the diſtance. If. 2. degrees, then it ſhould bee water. higher oz lower by the. 30. part of the dyſtance : if. 3. degres, higher oz lower, then the ground ſhoulde be higher oz lower by the. 20, part of the diſtance: ꝓf. A derres, then the grounde ſhould be higher oꝛ lower by the. 15. partes of the dyſtance: ik. 5. degrees, then the ground ſhould be higher oꝛ lower by the. 12. part of che dilkance: and thus karre the degrees will lerue exactly ve⸗ D ui nough
*
An enfample.
the diſtance vnto any thyppe vpon the lea, 0p Nyding in any Daven. oz Darbozowe pou knowing che bight of any
An enfample of
ſyyps on the water.
The fir boole
3 not bite many moe degrees rls that they be the dis uiloꝛ ot a circle. But vnto. 5. 02,6. degrees they wyll ſerue the the turne very wel. And now fo pour better vnderſtanging, J wil make an enſample vnto. 5. degrees accozding bute the dyſtante betope reherſed, that ts, at, 24. froze from pou, che grounde being higher oz lower by one degree, the thing is higher oz lower by: the. 60. part of the dyſtance, that is. 24. foote, whether that it be any marke vpon a Hyll o2 valley, oꝛ the height ot anp Compe oy Steeple. c. WE that it be. 2. degrees higher oꝛ lower, thentle marke ſhall be higber oz lower then the grounde that you doo ſtand von, by the. 30 part oł the diſtaunce: and the diſtaunce ting 28. ſcoze, the Parke hall bee bigher oz lower by, 48. 1 dote. i And Furthermoze, if that the marke bee higher oꝛ lower ir 3. Degrees then the thynge ſhall be higher oz lower then the gi unde that you doe ſtande vpon, by the. 20. part of the diſtance: that is. 7 2. foote. And Furthermoꝛe, ifthat the marke be higher oꝛ lower by. 4, degrees, chen che thing ſhall be higher op lower by the. 5. part ofthe dyſtance, that is. 96. foote. And further moꝛe, if che thinge be higher oz lower by. 5. degrees, then the ching fo taken, (hall bee higher oꝛ lower then the grounde that vou ſtande vpon by the. 12. part ul the diſtance: chat! is. 120. foote. c. 8
And furthermore, by chis meanes oꝛ oꝛder vou may knowe
Tame oz Clyffe, oz any Pyll vpon the fea Cofte howe ma- ny loote that is higber then the water: and pou may knowe it eyther by the partes of the Skall, oz els by the degrees, as for an enſample, the Cowpe oꝛ il, oz Clyffe to be. 60. toote higher then the luperficiall of the water, and the. 60. foote is
one ſcoꝛe. And ik pou do ſe the ſhipe at one degree lower then the hoꝛizon then it fhall be, 60. {core onto the mip: andifat,2. hehe it ſhalbee
of thetreafure for trauailers. 16
it ſhalſbe. 3. ome vnto e fhip, fat, 3. degrees, then it that be, 0. ſcoze v. the ſhip, iat. 4 degrees, chen it thail be. 15 ſtoꝛe vnto the thip: if. . degrees then it ſhalbe. 12. {cope vnto the hippe: ik. 6. degrees, then it ſyall be. 10. {cope bnto the ſhyppe : but if the thyppe be nearer, the degrees wyll ſerue no turne, but wyll be erronicus. CAherefoze pou mut vſe the partes of the Scall, as. 5. degrees and the part one is all ok ipke Dpitance- for the hyght ofthe Comme, Clyffe, o hyll beeing, 60, foote in hyght aboue the ſhippe, that is ut one ſcoze : at. 5 . degrees „ the dyſtance vnto the ſbyppe is 12. ſcoꝛe. And allo at the parte one, the di⸗ ftance is 12. {core in lyke maner gc. and at the parte, 2. the dyſtance bute the ſyyppe is. 6. ſcoe: and at the part. 3. the dyſtance bute the ſhyppe thalbe. 4. ſcoꝛe: and at the part. 6. but. 2. ſcoze: and at the part. 12. the dyſtance from the foote of the Cipite or Tote, vnto the ſhyppe, ſhalbe but one ſcoze, that is iuſt the heyght ok the Towꝛe oꝛ Clyffe. cc. Furthermoꝛe pott may knowe, if that pou be on the fea , whi⸗ thet that one thpppe be hygber oz lower of borde, chen the Toknomlube. ſbyppe, and howe much: and alſo whither the one perle ſhyppe dooeth ouertoppe the other ſhyppe, vou may knowe of bond, chen howe much: fo that thee bee not aboue a imple from pou, auocher⸗ ann as thps , by the Ipne of the hozizon lacke, what place ſa euer Seren that yon doo fee iuſt with the hoztzen, te equall in height the other, and with your eye, neyther higher noꝛ lower whither that pou dee hewe. one the Sea, oꝛ vyon the lande: and then you being in a ſhippe on the Sea, and port do defier foz too knowe whither that the other ſhyppe be higher oz lower of bozde then that thippe that pou are in, then looke Uppon the other ſüpppe, at what place that the horizon quoteth : and ik pou doo fee the hoꝛizon ouer the other hyppe , then pour ſhippe is higber of bozde then the other Mhip : and if that pou woulde knowe bowe muche, then goe too a lower place in pour oume Hpppe „ until ſuche time that pou dos lee the N iu
D *
The firft booke
iuſt with that part that you doo deſire to knowe the heigth of, and then ſtanding ſtyl, looke what part of your owne ſhip that the Ios riʒon quoateth, that part of the ſhip is iuſt equal with the ober ſhyp; neither higher noz lower: then to knowe whether that the other ſhippes top of her Maſt be higher op lower then pour hips, then goe vp, oꝛ ſende one to the top, and if that the other ſhips top be higher then the Poꝛizon, then the other ſhips top is higher bʒ lo muche as you doo {ee aboue the Hoꝛizon: but ik that you doo ſee the Hoꝛizon ouer the top of the other ſhip, then your hip is the higher: and then to knowe howe much, come downe lower, vntyll pou doo bꝛing the other ſhiys top vnto the Hozizon, then at the iuſt heigth of pour eye; is the true heigth of the other ſhips top, neither higher noz lower: and then looke howe much it is higher then pour eye vnto the top, fo much pour top is higher then the other ſhips top. Ft. om And alfo pou being on the lande, pou may knowe whether one ſhip be higher of booꝛde then the other, and alſo whether the one ſhip dooth ouertop the other hip , as this „ by the quoting of the Hozizon vpon both the ſhips, as this „ If pou be either in a Toe, oꝛ any high houſe, neare the {ea coaſt, oʒ els at the foote of anpbplepther, : Then tf that vou vefpre fortaknow which of the ſhyppes be the higher of booꝛd. oz els the hygher topped, then aſcende oz del cend, vntil that you doo fee the hoztʒzon tuft with the hygher part of the ſhip, and then looke vyon the other ſhippe, and then if that the other hip be hygher then the Hoꝛrizon, then that ſhip is fa much hygher of boꝛde from the quotyng of the Pozizon vpwards, and then if that pou would know how man foote, then aſcend bps wards vntil chat you doo ſee the vpper part ok the ſhip iuſte with the hozizon, then looke how manp koote and ynches that pen were hygher then pou were beloze, and ſo many foote the Ship To knotw howe is higher then the other ſhip iuſt. And by this oꝛder pou maps much one knowe howe muche one ſhip is higher topped then the other. boule, ſhip, And by thys oder pou maye knowe whether one Cote is 8 higher then another, oꝛ one heuſe higher then an other: And allo other. whether that one hyl be higher then another. ec. a . nd
of the treafyre Fortrauailers, 17
And kurthermoze, by is meanes ou doo knowe whether chat one ſhyp doorh ouertop the other: then poumay knolve how megan i e by che
nd the heig g kn —— 100 in 4015
bitanc¢ puta e 1 a vis
by the ꝛe is rehearſen, going fp eh ca 4 chip and chent be ider howe muche that me aboue che water, c. And Wa pan of the. Sea mowed Bbw clan tt
ai aie 2 505 auth dne eo. ng 031 13 n. vf 5 arty ae
. Ne ele soe making , 90 iet ing ng better eh e N:
Nauf 3 kr + . 305 9903 os SHON
did 12212 127 dad 821 3 re 81 J Owe furchermoze ag.cou oben naga ite ſtaffe, that lerueth the To Nadin ectes, muche
better then the Skal ok the backeſide of 5 Ackrolobe,
and ſpecially foꝛ to take the length of the Coꝛtane of the
wall of a 1 nem, oz the diſtance betweene two Toumes , or Guy
two markes ſtant ing directly againſt them, very pꝛattöble for
al ſeruitours, oꝛ other, foxtobauethebleof. And nowe folow⸗
ech the making of a Crofle ſtaffe, as much as hal ſerue landmens
turnes. Firſt take a peece of good, fine, and wel ſeaſoned wood,
and let it be wel playned, and very ſtreight, of fine foote long, and
chen let it be diuided into. 60, equal partes oꝛ vnches, and then
pou may graue in it. 1. 2. 3. and. 4. and ſo tp] pou doo come to
che ende at. 60, And be ſure chat pou make euerp pnche 02 part
note, che one to be bygger op leſler then the other : Then tf pou
wyl, you may make at che ende ok euery. 12, ynches, a round ell oꝛ
ciccle, and at che ende ok euery. 6. ynches, halfe a circle: then at euery. 3. vnthes, ſume marke oz crolle, and then pour long ſtalſe is The making Gmithed. Ty in like maner you ſhal make an other (hort ftaff,cal- . im, Crolie led a Tranſuaſtdꝛie, of two foote long, and in the bery myddle ofic
pou thal make a {quate bale 3 as {hal goe * the
nger
d
bs a 4 5 0 — ate 3 4 1 + II UTS + ‘Boo Sn j N — 9 E 1 „* hs
longer en anp warning, and then hall vou make. 2. Wings o2 plates vt bzalſe one koꝛ the one end, and the other los the other ende, then fhall’ pou make achate oy rygall on the a one lde ofthe Satie that the wynges may be remcuied at your Nkerktiontg thenat.6. ieh aneh es pou ſhat male amarke : And chen there will bee. 12. ynches betweene che 2, markes. Then in lyke maner, you ſhall make, 2. other markts 9. inches from both the endes, and there will bee 6, inches bee⸗
the. 2. mar! e 2 Feels sods es git in li e Maner; bouthalbeinde the re ok the mid⸗ dle of * Tranſuaſtoꝛie into ynches equal partes, and then it is finithed , fauing that inthe middle ofthe Tranſuaſtoꝛp pou thall put alittle pecte Of bpalle int the hole ds locker that che longer Stafle doth go thoꝛowe, aud then you ſhall make: a little vice 02 woꝛme, to the ende that you may make the Tranſuaſtoꝛp to ſtand fat at pour delcretion: as theſe. 2, figures doo tepretent bo
she ftaffe and the Tzanſuaſtoz ie, eee | é 2 ve 0 He Iban b a 15 Mis 792 ott 110 csg yilaigog) daa 1 Or. 0 55100 edc $3 ¢ SKS ul 50 4 5 x 2 2 : if! ne an ia ; if j lit uta Hao} g gd ch 9151 ot (n7 33 tke un en Ie . . lande 222 1 . yon 7 datse ay Pia rn 88 73
of the treafure fortrauailers, 18
9 Thetenth Chapter foeweth howe for tovfe the
. pay ogi Cyoſſe ſta 2, for to knowe the length of any mmuxuallont e diſtance betwene any two marks, eu alſo the dutance from youjunto any fla. Ne a nnen Hons
„ Dove when fo euer vou litt koz to take 1 N LOTS the length of any coꝛtaine of a (Mall, sche widenes betwene two marks, rr oꝛ any other thing what ſoeuer it be, 1 g ‘| then ſhall pou take the longer ſtaffe,
| ſet dut with equall partes, and put af | the Tranſuaſtozie vppon it, though 11 the hole in the myddle or the Tranl⸗
I uaſtozie:and then it you would know RD e | the wydenelle betweene anpe two Yor to ute the Martes, qy the length of che coztaine of any Tall, and the die Croile tattere Saunce vuto them: then ſpall vou doo thus Firſte, ſet the ende m aer Df che Jonger State, harde vnder one of pourepes, Wyntyng rinaucect
with the other eye. N thing e han pour Tranſuaſtopie mandyng at. 24. vnches trom the
ende of pour long Staffe, whiche is the whole lengthe of pour Tranſuaſtoꝛie: Then goe fozewardes o; bachewardes,ftandpng bpꝛight with pour bodye, and heade; and both pour leete togeas thers chen goe kozwardes 02 backewardes, lookyng towarde
pour Marke, tyll both the endes of pour Cranſuaſtaꝛpe do agree
inith pouremo Markes iultly. I it bee a Mall, mealure the
grounde iuſt to the myddle ok the Mall, and that Halve the true
length ofthe daI „% e But ikthere bee a Ditche betweene vou and the Mal, then 4 remooue pour Tranluaſtozie at the ſeconde fandpng his whole length further foꝛewardes, that is, two koote: and then gae back
inardes , tyl that pou mape {ee againe, both the endes ok the wal
agree With the twa endes of the Tranſuaſtopie. Then mealure the Frounde betweene the two ſtandinges, and that ſpalbe the dult lengt #5 te taal «Ano thenthe vida dit unte be 2s 1
| | sit,
3 * b oh
day a
. 4 1
endes of the wal: and chen there ake an other marke at ktete. Then meaſuring the greunde between the two si
1 > _
81 Tpeſf, bie 18880
twiſe the seats ofthe wal. Chenieihet the mba be furs ther then the Tranſitozie wyl take; and the wal tod ſhozte: chen remoue the Plates oꝛ wynges zokthe Crantoziesteo be markes, fixe ynches from both the endes or the Tranſitoʒie: and then the two jplattes 02 ryngs wy! be but twelue pnches alunder. f Then take the wydeneſſe betweene the two markes, oz the two endes of any wal tünely wich the ourfpoes of the wu Plaltes op Ringes: then wich the myddle ak pour foote; there make. marke then remooue pour Tranlitozie foxewardes ox back wardes, the length chat che Plattes oꝛ Ringes be alimder, as haue greunde: and then goe foꝛewardes and backewardes, chat your two Plattes o Ringes don agree againe wich both che
binges it ſhalbe the length ofthe wall. ni And then koz dn the bitaunce nne fe wall reat 500 thus: Cooke howe many tymes that the T
tte ende texte towardes vou and efpectally eoitane etre 4
‘the two jplattes oz ringes: fo many tymes the length of wal, ſhalbe the diſtaunce vnto the marke: as foz enlample thus, By the wal of a Coptaine of a towne betweene two f and my delire is to knowe che length of the Coztaine ok the walz and then Ahauyng the Tranſitoꝛie vpon che lang Staffe A cbuld not come ſo neare the towne as J woulde remboued the Plates oꝛ wynges of the Tranſitozie; to the diniſion ol tre puebes from both endes, that was, twelue ynches alunder: then J goyng fozewarde tyl that J dyd ſee both the Turrettes with the two Plates 02 wynges ok the Tranſitoꝛie: and then at my feete I made a marke, and then in like manner Jremocued m Tranlitopic twelue pnebes foꝛewarde, and then Jwent backe⸗ wardes, tyl chat the two endes of the wal dyd agree agayne wiiß the two Plates 02 wynges of the Tranlitozie 3 and chere mene an other Parke.
Then J meaſured the grounde betweene the two dandings and founde it tenne fcope : chen J dyd conclune, — — ok the Cogtapne of tye wal was tenne ſcoze e re
—
of the treafure for trauailers, 19 the other. And nowe J knowing the length ofthe wal, Imaye ealilp knowe the diſtaunce vnto the wal, as thus: Mowe F doo looke howe many tymes twelue ynches that the Tranſitozie wag from a ende nexte vnto me, and 3 and a halle: that is, 54. ynches.
And nowe, , becaule that the Plates oꝛ wynges of the Crane fitopie were twelue ynches aſunder, and. 4. maketh foure tymes and a halfe twelue, and the length of the wal, tenne ſcoze. Theres fore J doo conclude, the diſtaunce bnto the wal krom the place of
laſt ſtaudyng, tu bee foure tymes and a halte tenne ſcoze: that ap ey me figure. lolo
‘Git, Rote ~~ 2 2 TS — i 4 > * 2
ty
: > - 7 “a 1 1 i : 5 S e N SN) - an — 13 N 3 TS WR AK ¢ 7) ten 8 : Swe LS WS SOOO | : 5 5 — 5 0 Cece |) ee — — ; K * . ond 8 ge See we NTT | 2 > * 2 7 — 4 4 « * . : 3 a > * . ‘af: a 2 ie 1 : — — ?—e- = . cf 75 ; ar 7) few — 4 — „ fe? = . * — , 88 8 = ite, Ss, foot 8 sa 8 ame o' 2 = 2 2 = ’ . o> = * a, nd 6 2 5 O* 24 om 8 SS MY Seo . S — . 77 ey lier 45 2 ya W W — * * 5 2 i” — 0 — 2 5 vi * 8 0 2 5 7 af J} ie | > 2 4 * f ! 5 . aS. K Wa : * +4 ; ) — U 222 W 7 — alia — 5 pm : 1 & 7 —— 2 . N . > — = 2 2 * — 44 n line 4 3 — — — 2 8 13 — fit Uh) S | f 1 l 1 es ot een | ie 1 — 14 — 1 STZ abr Ma 23. n eee
le. + CP 9 bgt! of the treafure fortrauailers. 26 PO) Role lurthermoꝛe, if the dilkaunce be further, then thetwa Plates op wynges mape bee remooued nyene vnches from. the imo endes, that is, but lixe puches aſunder : Then in like manner if that be tos wide, you may temoue the two plates oꝛ wynges ten vnches krom both the endes, and that is but koure ynches afunver. Then in like manner if that the diſtaunce bee berpe karre or, and te length of the wall bee ſhozte, then mape you remoolie the e fr ges at the ‘Tranfuattopie,eleuen ynches from both . P that is but tuo pnches alunder: Anntben, doopng — barr to take two ktandynges, chat thalbe the betweene any twomatkes. gp oxi: ee alwayes, that you remsoue the Tranſualtozie at the ſeconde ſtanding, either foꝛewardes 02 backewardes, fo many pnches, as the two Plates o2 wynges be aſunder, iultly >and na 23 and then pou thail knolwe Che ditiaunce nto any, Parke 02 eben’ vou doe knotwe the length ok the wall, Cand that if kno wen, as afore is ſaide, by the meaſure berweene the two ſtan · dinges ) then looke howe many ynches that the Tranſuaſtoꝛie is 8 ende of che long Staffe nexte to pour eye: then locke e es thatthe plates op wynges ol che Cran tied: Mopie ate aftmder , fo manp times chelengthsche wall ale the Dittance puto the wal. 500 ds fo} enlample thus: Sp the Coftaine ok! the wal afore na⸗ med, being tenfeone long er the Tranſuaſtoꝛie to be ſet at. 48. pn / An othes ches from the ende. Firſt, che two winges ſtoode at the very bt enlampie. ter ende ol the Tranſnaſtoꝛie that is. 24. ynches alunder then the mealure vnto the wal ſhalbe tmn ten ſcoze, and that maketh. 20. ſcoꝛe, becauſe there is twiſe. 24, in. 48. Then in like manner the Plates of wings wete ſet. 12 pnche alunder, and the Traſuaſto⸗ rie 48. ynches from the ende. Then chere is koure tymes. 12. in. 48, then you may conclude, that that is koure tymes ten {core vnto the wal ofthe towne, thatimaketh. 40. fac. Then in ltke manner the Plates oꝛ wynges being fet but lire ynches aftr wer, then there is eight tyines ſixe in. 48. which maketh eight tnmes 1 that is, 80, fcoxe . ae that the ee
89 — “¢
Os M The faßt baols
were but foure ynches a ſunder, the Tranſitozie sii — vnches
fram the ende, there is. 12. tymes foure in. 48, Do the di ⸗ ſtance vnto the wall is. 12. tymes. 10. (core. that is. 120, coe: Then furchermope the winges Landing but. 2. inches a finder,
but then it is an hard matter koꝛ to take it perfect; then there is.
24. tymes. 2. in. 48. fo thacmakecy, 24. tymes. 10 fcore: which
maketh, 240. ſcoꝛe. Mom furthermore , in lyke maner it that it fal not right iuſt meaſute, then une be but halfe the mea⸗
ure betweene the winges; then faz that, take halle the length of
1 the wal, and adde it vnto the reſt of the mealure: and if that it bee three quer, cen hye quarters me meal, ania aunt : arent hunt de 1 0 alle
‘ e} Nati “a 017 J. ip Tua. d: ne 190 12515. d 32220 pat ) 3 in 8 The 9 Chair Hemer, yon 21 Br to 1 1 n us the length of a wall, when that you haue not 1 grounde large Neue far ee n Keen iawond Haren gen ; 0 ae a
Owe furcherimone.ifcbet; you haue not grounde ro to goe
foxewardes op backe wardes, ſo much as that the quantitie
of the wydenes of the Coztaine, oz the diſtãce between any , two markes thal come vnto, there is a remedie koꝛ that, as this: Looke at what length vou haue let the diſtance between the two h lates op wyngs:then remoue the Tranceuaſtopt of the long ſtaffe, but halfe the length betweene the two plates oi wyngs, at the ſecond ſtanding, and then the grounde betweene the two ſtan⸗ dings thalbe but halte the lengch of che wal, oꝛ diftance betweene pour two markes: then double the mealure that thalbe the length ofthe wal: then hauyng not ſo much ground, remoue the Tranſi⸗ tozie but the thirde part ol the mealure betweene the two wynges of the Tranſitoꝛie, and then the grounde betweene the two ſtan⸗ dings, halbe but che third part of the length of che wal, and three snes sata bee me een of the Kata of
e wall ¥ Then
* E a a? 7 0 * N — 6 F of the treafiwefortraunilers, 21 Then hauing not l much ground chen remoue the Ceanticox rye but une quarter of the meaſitre af > plates b winges; and then tze mealare betweene the 2. ftandynges Wall be beit one quarter okthe length of the Mall: and then A. eimes char mea ſure Hall be the whole length. Cy in line manet pou may reittoue the Tranter torp but the 6 partakthe meaſürt x there Crankithy che betweene the z gtandyn gs ſhall be bur the 6. parte ol che length or che Malls andie meh co che ka. “patie er oe ag pou have Growine on But heere is ane thinge by the way, neuer tke a ſhoꝛt tation be⸗ tweene the 2. markes, as longe as vou may haue a large: for that a lyttle errour often times multpplyed, becommeth a great and myzaculous errour in the ende, vea an bntollerable fault. N And now for pour better Enfample ok all thoſe queſtians afore Enſample. rehearſed of the lengch of a Bꝛickwall 12. coe longe, fyzſte J tooke my crofle Staffe, and fought out my grownde ryght againſt the middle ok the Mall: and becauſe J coulde not come fo neare as J woulde, Jremoued the 2. plattes oz winges 6. vn⸗ ches fromthe 2. endes ok the tranſatoꝛye that was 12. ynches alumder, and fet the tranſatoꝛye 36. ynches from mee: and then there where the 2. Plates op Minges dyd agree with the two endes of the Mall, there at my feete J made à marke: then J had not graunde pndighe nepther for. to goe kozwardes nox backwardes : therefore J remoued my Tranſitozy but 6. yn- ches fozwardes, that is at 42. ynches, and then J went back- wardes tyll that the 2. plattes oꝛ winges dyd agree agayne with the ende of the Mall, and there Imade another marke. Then J meaſured the grounde betweene the 2. ſtandynges, and founde it but 6. ſcoze: then that beinge halfe the length of the CCT all, 2. times 6. ſcoꝛe maketh 12, coꝛe. 1 . Then N haui ige not fo much ground, remoued the Tranſttozy che thirde parte but 4. ynches fozwarde, that is, at 40. pnches. Then meaſurynge the grounde betweene the 2. Standynges, mis 4. coze: then three times 4 ſcoꝛe maketh 12. {cope : then ba: uynge not ſo much grounde, remaue the Tranſitoꝛy but one quare ter forwards, that is 3. pnches 8 i da | | ; oly )
war des, and that maketh. 38.pnches: g then the meafure ber ⸗
and then the n e ee 8 al 1 505
three {cope : and foure times three (core maketh twelue {core 10 Then in lyke cafe pf that yen haue not ſo much grounde, vou may temoue the Tranſuaſtoꝛpe but the lixt parte of the meaſure belweene the two Plates 02 Minges, that is two ynches los ·
tweene the two ſtandynges is but two ſcoꝛe: and {pre times two (cope maketh twelue {core,and lo foozth to che twelfe parte of the mealure betweene the two . ee we Tranſua - be dui 1 44% 87% h
— — as . „ g on naa e : of fis 2 pRIaIHHe oS VET SIA
ris ta? - es 9 3 - re. 1 4 Aer Ge . 9 . * 9 s K 300 Hi fe. i ee Ui MCT. sci Ont 1 * N Sha} enn 15 Pere a * e = Besar ~ — 5 * — 9 ~ - > Heed 5 ; e,+'2 “4 24 14 * 2 * 1 ——— J is 4 3 J ti 1 77 * > ei) “fr 1 err n Neue ean ty ; . mal sg ht * u USER ijl: ig & , Sits 2 a 2 * 7 „ bal 1 * 41 322 262 Fe : : 2 nn 750 = - a : Nn
ut] ee <r +
1S,
trat 9
efor
of the trea
* 4 — . SS 2 D — 2 “= > ta * 5 * = * Ps ' : 8 | * — ty * * ‘ ‘Ore N | - wo — a — * ** 4 2 2 8 errs hu _ — 25 2 f
an. me 4
ae —
1 — 4 „ — 7 1 a a A = ; . 1888 4 — € om ww iL gees : —— — 4 121 = „ ow — = — 2 4 4 eg oe S f ae 5 3 a. we 2 . 3 ‘Se 1 — 1 — 5 — * nf — — a
L$ 1 The fir Boule 1 W ‘ 8
The 12. Chapter fheweth you how to know the 1. vnto any two marks, or to the two endes of. we hi weal a extracbin K ſoote. :
neſſe betweene any two markes, then you dae knowe the luſt wideneſlez but not the true diſtaunce, except it Hall, you doe know che true diſtaunce vnto the moe, Co know the but nat ta theende. ee ow therefare, whenſdeuer you woulde know the bittayttce vrt by the ertrac. dhe endes of any TT all, oꝛ vnto a Churche, and a Tree, oꝛ whatſo⸗ ting ol the euer that pouh e the wydenelle betweene them, then hon (quate rote. farre lo euer that they bee alunder, deuide the megſure into 2. e.. quall partes. Then take the Lyne of the diſtaunce onto the middle ok the marke, and multiplye the diſtaun 1 it ſelfe: then in lyke manner m 52 e the halle widene it ſelfe: then part bach the numbers ol ee eee uf adde them both together: then ertract the rodte ok both the nu ubers, and it hall bee the diſtaunce of both the endes okt 8 fall, oꝛ any other 2. markes,a¢ now fo, example thus: by a ch and a Bulwarke. And my deſpꝛe is to know the wy e betweene them, and firſt I take my croſſe Staffe and let the ceuaſtoꝛye 24. ynches from the ende:and the 2. plats oꝛ winge z toode at the harde ende: and then J cooke my kyꝛſt ſtanding, as atoze is declured, holdynge the longe State hard vnder che ũde ot mine eye, and then J feing the Bulwarke e the church a zreeing with the 2. ends of the traces baſtoꝛp, there at my lirſt ſtanding Amade a marke, and then Jre⸗ maued the Tranceuaſtoꝛy 24. vnches foꝛwerdes, and that maketh 48. ynches, and there where the two markes dyd agree agapne at the 2. endes of the Tranceuactoꝛpe goynge backwardes, there I made an other marke, and then J mealured the graunde bee t beene the 2. ſtandyngs, and kound e it 24 {coje. Then
of the treafurefortranatlers, 23 Then J did conclude the wpdene ile betweene the Church and the bulwarke, was. 24. ſcoe: then it muſt needes bee ſapd, that the diſtaunte to the myddle waye betweene the Bulwarke and the Churche at che fri ſtanding to bee. 24. (core: becauſe that the Tranſttoie was once his whole length ktom the ende nexte vnto mee, and then at the lecond ſtanding the diſtaunce muſt needes be 48. ſcoe, becauſe that the Tranſitoꝛie was twice hys whole lẽgth from the ende nexte vnto mee. beyng. 24. punches, And nowe for to knowe che diſtaunce bute eyther the Bulwarke oz the Churche, then ſhall you doo this: and for the neereſt ſtanding, when that the Tranſitozie was once his whole length from the ende, and the diſtaunce onto the myddle. 24. ſcoze „then J dyd multiplpe. 24. tymes. 24. and that maketh. 576. And then from the myddle be: tweene the Bulwarke and the Churche, was. I 2. ſcoze to the bul · warke, and. 1 2. ſcoꝛe to the Churche. And then. 1 2. lſcoꝛe multiply ſquarelp, chat is to ſap, 12 tymes. 1 2. and that maketh. 144. Then adde both pour numbers together, that is to faye, 576. and. 144. and that makech. 7 20. Then extract the roote of the number, and then there wyll ſtande in the quantitie lyne. 26. and. 44. wyll re⸗ maine ouer, So that pou map conclude, that from the neereſt ſtan⸗ ding, to the Bulwarke oz to the Churche, it is. 26. ſcoꝛe, and 13. parte of a ſcoꝛe, that is more neere. 51. foote: and nowe from the kurtheſt ſkanding, and the diſtaunce vnto the myddle. 48, ſcoꝛe. owe multiplie. 48. tymes. 4.8. and that maketh. 2304. Then multiply. i 2.tymes.i 2. foꝛ the halfe wydeneſſe, that is. 144. and that added vnto . 2 304. maketh. 2448. ſo extracting the roote, there will ſtande in che quantitie lyne. 49. and then wyll remaine ouer, 4. which maketh. 38. parte, that is, neere halfe a ſcoꝛe, beyng. 29. foote . So J dos canclude, that from the further ſtanding to gur the Churche oz Wultdarke „ tt is. 49. {core and neere 29. foote. r
* *
Fe ene,
. Thefirft Booke *
7 sn
Moin ae
The thirtienth Chapter foeweth howetoknowe the diffaunee | - unto any marke with the croſſe ſtaffe, without the ex- | tratling of the roote, and aſſo home to take the height of any thing with the ere ſſe ſta fe. .
New furebermtaze for your moꝛe eafe, whenlbeuer that vo woulde knawe hows farce it were to anp marke oꝛ place oe
1 a 1 4
ey tbe treaſure for tranailers. 24. dᷓebelpe at two markes, with not knowing the lengih of the flope To knowe the „ then hail pou dao thus: F irſt, ſtande rpghe agaynſt „ =
the iuſte diſtance vnto: then remoue one of the plates 02 wyngs ok the Tranſuaſtozie to the verye mpodle ofthe Tranſuaſtozpe: then when ſoeuer yon lit to knowe the diſtance, lirſt at pour fyꝛſt ſtandyng , then make a marke: then fo pour next ſtandyng, remoue the Tranſuaſtoꝛpe, but ſo muche as the dyſtaunce is betweene the. 2 plates oꝛ wynges, beyng ſure that pou take che marke that pou doo deſpꝛe the diſtance vnto, with that plate op wyng ok the myddle of the Tranſuaſtoꝛpe: then (as afme is declared) looke howe manp pnebes that the. 2. plates oz wynges be the one from the other, fo manye tymes the meaſure chat the diſtance is betweene the. 2. markes, fall be the dyſtance vnto that thyng that you haue taken with the mids dle ok the Tranſuaſtoꝛie. And fe looꝛch in al poyntes as atone is rehearſedſ: as fo enſample thus, bp a tome that J doo ree qupze the diſtance vnto, and then J ſtandyng wych my face right An enſample. agaynſt the tonne, then J laugbt a tree that ſtoode right beſyde the towꝛe, that made a perfecte ſaquare Angle to the coms. er and vnto mee: then becaule that the dyſtance was fome: lubat farre of, and the tree ſamewhat neare vnto the towꝛe, therfore | I let one of the plates oꝛ winges. 6. ynches fram the ende, and the other wing right with the middle of the Tranſuaſtoꝛie. Chen et che ende of the long ſtalfe harde vnder one of myne eyes; and tooke the meaſure true betweene the tree and the towꝛe, with the plates oꝛ wings af the Tranſuaſtoꝛie, the Tranſuaſtoꝛie ſtandin g. 48 ynches kom the ende. And then J remooucd the Trauſuaſkegit. 6. ynches foꝛwardes, becauſe that the. 2. plates op wynges wert but. G. ynches alunder, and that made. 54. ynches: and then J went backwardes and made my ſeconde ſtanding, and then J meaſured the grounde betweene the. 2. ſtandings, and founde the grounde 4. ſegze, then J knewe that the tree wag . 4. {cope from the eee. F. ill. Lech zn (a
wy a *
And then Alosked howe manpe pnches that the Cranltapie was fromthe ende, and kaunde it. 54: then in lyke manner J looken
| Fs touching
Te irt Boe
howe many tymes. 6. there was in. 54. and faunde. 9. times. 6.
Then Imukneedes canclude, 56 diſtaunce vnta the Towꝛe to bee. 9. tymes. 4. ſcoze, that i is, figures following. |
Qe whole biftenncebnen the Tobe ig, 15 — owe firs: chermoze, pou may take the heigbt of any wall, oꝛ Tome, oꝛ Stee⸗ ple, oꝛ any other thing, ſo that pou {et one of pour plates oꝛ wings
6Acoxe : ag bp WN of 1 8
with the very middle af your Tranſitozie, æ with the myddle plate
be ure to take the foote 02 bale of the Towꝛe, Steeple, Mall, o: tree: oʒ elſe you may commit errour. And by the ſtaffe pow max knowe the wydeneſſe of waters, with diuers other moſt neceſla- rie thinges, as this: hen that pou bee in a towne, fo2 to knowe
the diſtaunce of any place whofe length oꝛ wydeneſſe that pou doo
knowe, as by the length of a pyke, oꝛ the wydenelſſe oꝛ diſtaunte betweene. 2. Buſhes oz. 2. ſtones, oꝛ any other thing, beyng ſure that pou take pout light true bppon pour markes holding pour handes ſteedie tyll you may ſee pour. 2. markes, ende wyth pour 2. plates oꝛ.2. endes of pour Tranſitoꝛie, ſetting the ende ol pour long ſtaffe cloſe to the vtter parte of pour eye, winking with your ocher eye, ſtanding vpꝛight with pour necke and heade: and thys
dooyng. yon ſball notfaple of che truth. Fon i that pouerce, be
kault ſhall bee in pour elfe, loz that vou haue not taken it trucly.
Therefore
7
of the treaſure for tranailers, 25
Aheretore that is very good to haue a rel to laie pour long ttatte on, x tc to tate a heyghe, you mu t᷑ turne the Tranſuaſtoꝛie one ende vpwardes, and the other ende downewardes; and then yon mutt et ende of ele atte cloſe to 43 ait 11 fa tpe.
The as Chapter 1 onto > yor, how bathe hon id} Mall komme the diſtaunce of any fosppe fromyonyand vol beyng in another ſpippe, and both the 70 fat sta st) ee bas ene and att an
Ad furthermahe, by the Croſſe fie pou. mape Anat the diſtaunce bute any ſhippe ſayling on the Sea, very exactly, pon beyng in another un ppe fapling after them, oz beloze them, dd beſide them: although that diuers men are natof that opinion, that boch che markes are nioueadle, whet eby they cannot get certaine ſtation oʒ ſtandyng, as this is drclared in the eight goyng beſoxe, how ta knowe whether that one fhyppe Sapa by the lending ol one vp vnto the toppe genen te looke how the Hoꝛizon cutteth bpd the toppe ol 8 ſhippe: and by that he dooth knowe whether that the o⸗ 1505 hippe dooch ouertoppe oz vndertoppe the ſhippe that he isn im apo then you knowing bow many foote that your otone ſhipp es toppe is in height from the toppe Downe vnto the water, then you may knowe by that howe many fonte the other ſhippes toppe is in height in ipke maner from the water very exactly. But tf hat pot dos not knowe che iuſt height of pour owne ſhippes toppe oe bitothe water, then pou may knowe it thus, by fending one bp vn Sebi to che toppe, with a leade op a Plomet made fat vuto a lyne, and zu hippen let sone vnto the fuperticiall parte of the water: and then toppt. mealuring the lyne, vou may ſee the heigbt ol the Wippes toppe chat pon are in, vowne vnto the water: and then by the height ol de ſhippes toppe, veu map iuſtly knowe the true heyght ce And nam to knowe the diſtaunce unto the other e Croſſe thatke,pou muſt doo chis: take pour Croſſe de ban. affe, an cr etc Separate a
Due fief Booke
vnto the my ddle of the Caffe , and fet them at a knotone ditlaunce
detwtene the two winges oz plates, as at an ynche on halfe an
As puche a ſunder at pour Difcretion,aud that beyng done, chen fet the | Jong ſtaffe harde vnto the comer of your exe, wynking wyth your
other eye e then remouing the Tranſuaſtoꝛie fopwardes oꝛ back⸗
wardes vntill that pou map (ee and ſerue it truelp, the toppe of the
ſhippe iult with the vpper plate, and the lower part f the ſhippe
har de bute the water with the edge of the lower winge oz plate:
and that doone, then looke howe many times the wydeneſle bee
tweene the two plates that the tranſuallozie is from the end rext
into pour epe, ſo many times the height ofthe toppe downe vnto
the water as that commech vnto, ſhall bee the ttue diſtaunce bes
tweene the two ſhippes: which you ſhall woꝛke in this manner:
Firſt, the number of fete that the other ſhippe is from the toppe
uynto the water beyng knowne, then looke howe many tymes the
diſtaunte of the two wynges 02 plates bee a ſunder, then looke
bow many times that quantitie the Tranſuaſtozie is from the
ende reste vnto pour eye, then doo thus multiplie che number of
feete from che toppe vnto the water, by che number of the diſtante
betweene the two plates oz wynges from the ende nerte pour
eye: and then locke what that number commeth knto, and then
40 deuide that by. EO. and fo many {copes the two ſhippes bee a ſun⸗
enſample. der iulilp. As fop an enſample thus: by a ſi ippe chat was founde
by the oder before rehearſed, to bee. 65, kcote from the toppe of
the toppe Maſte vnto the water, and the two winges oz plates
were fet iuſt au pnche aſunder , And then in the obſeruyng the
Tranſuaſtozie was remouyng forwarded and backwardes vntyl
that he dyd fee the tappe ol the Wake, and the lower porte of the
unippe harde vnte the two plates o winges: and that deone, then
he looked how man ynches the Tranſuaſtoꝛie was from the end
nexte vnto bis eye, and founde it. 54. vnches iuſt. Therefore
he multiplyed. 65. by. 54. fo chat. 65. foote was the height ofths
toppe vnto che water, end the plates cꝛ uinges were iuſte ons
puche alunder, and the Trat ſuaſtopie. 54. ynt hes from the ende?
ene d okthat multiplication chere tonmmeth 3 510. Mherefode des
„ ide chat. 3 510. by. 60) and hat will (heme bres pow the num⸗
Bie . 3,3 i ber
3 of the treafurefor trausilers. 26
der ol ſcozes, and that. 3510. deuined byiso, here will lande inn che quantitie lyne. 58. and. 30. remapneth ouer So that pow map conclude, che diſtaunte berweene the twa ſhippes ta be iuſe 38. ſcaze and.. and by this oꝛder you map know the true diltance bet weene auy two ſbippes. xc. Aud yet u pour better vnderſtan⸗ ding, A will gine a ſecand enlample ape caſiet to be bnderſtood, Auocher cy bp a ſhippe that was iu d. G0. foate fram the tohpe waco the wa. ſample. ter, that being aint lcoꝛe and no moje, che two winges op plates being tit one yucde a funder, and the thippe being obſtiued and was found to bee mere as the tuo plates did agree wich the e and the lawet part, tyatche Cran(ualone was. 40 ynches rom the ende. Thereloze they mape conchive that the diſtaunce betweene the two hip pes was iu lt. 40. (cope, fo2 that the toppe of che maſte vnto che water was iuſt one {cope : that is. Go. foote, and the two plates oz winges iuſt one yuche a funder, and the Trauſ⸗ uaſttoꝛie. 0. ynches from the ende. ac. And allo by this oꝛder pow map know the diſtaunce of any ſhippe from the lande. xc. And thus J doo ende the conclufions of the Crofts Raffe. c.
g The fifteenth Chapter ſpeweth unto you, home you {hal make an inſtruimẽt wherby you may de- ſcribe a Region or Conntrey, which you may call
en Horixontall Sphere : and alſe home to tale dhe pſat of any ground. Sr. ee
IJ Owe furthermore, Ichinke it comenicntto Hewe bnte
pou the making of an inſtrument, whereby you map dee
2 ſcribe a whole Ceuntrey at ſundzy ſtations ox ſtandings:
q which is verie meete and necellarie for all men chat doo
ſeruice to theyꝛ Countrey, and pꝛincipally for Generalles anv
Captaynes, and eſpecially for all them that take charge too bee
leaders of men. The instrument is muche lpke to the backlide
ol an Aſttolobe, but that ic bath no Scal, and pou (hall make te
iuthis manner. Fir, sa well ſeaſoned boꝛdes a N df,
oor -* eee we
— * 2 — 8 5 7 3 — 9 ta ‘ 1 5 4 7 7 Boa 18 + te - : * Swed The. firſt Bolle * 5 *
be ming ef ok a focte quae, x ch make it ruund :o elle por may make it n an inſtrumene metall, the larger the better, making it perkot rounde. And then . ® deuide the circumkerence o; edge into. 360. degrees oz eqnal! f partes: and then in like manner deuide it inta. 32. equall partes, ęname them as pou do che. 32. poyntes ofa ſea mans Compaſſe, md then mage a hole in the center of che inſtrument, and thẽ mage m Athelida with. 2. ſightes, uch a ane as an Aſtrolobe hath in all poyntes, and there make it kaſt wich a pine to che middle hole k the inſtrument, and then in one of tze fives eyther tu the Noꝛth oꝛ
South poynt, place a needle,fuch a one as a Opall hath, and this 2 is finiſhed. As by this ligure following is repzeſen ·
8
29 14 1 ee wel * 1 3 > * je > 5 " „
5 @
of the treafure fortrauailers, 27 in foloweth the vfe-of this intrunent, which is,fop to delcribe
ton op Countrye, and foʒ to knowe the diſtaunces from one
place to an other: very meete koꝛ Cherography oꝛ Topographp, tamake a Carde oꝛ Pappe fo any Countrpe, io2 to ᷑nomithe np: taunce kram one Towne to an other, and alſo to know towardes what part the Towne oꝛ Tillage doth beart trom the one to the other, hy the help of two ſtations op ſtandings, made vpypon fome high grounde, as ſome Hill oꝛ fone high Come, where that you map (ee all the cofte ol the Countrpe rounde abort pou, as thus: Fpꝛtt, take the inſtrument and goe vppe vnto ſomehigh Mill op Toune, where that you may {ee all the Countrye rounde aboute pou, and then dꝛaw into a peece of paper a Circle with a papre of Compaſſes, and then dꝛaw a Meridian Lyne, and then deuide the Circle into 32. equall partes as the inſtrument is, and then laye che inſtrument vpon fome ſtoole oz thing flatte afore you, and then ſet it with the needle due Hozth and South, and fo let the inſtru⸗ ment ſtande without any remouinge: then turne che Athelida
ee the two lightes, to ſuch Townes oz Uillages o bile,
ag are within the Angle of ſight, and looke thoꝛo w Both the ightes ofthe Achelida, and fee what. Cawne o marke at pou doe
ae tele to ponr Paper and looke bpon the inffeument at what poynt and degree the Achelida is ſtandyng on, then vpon the point and degree of the Circle wꝛpte the name of the towne, oꝛ Titilages. m Dp turne the Athelida to the next marke: and ſo foopths. tyll you haue taken all the townes and Uillages rounde about the Countrye oꝛ Coaſtes that be within the Angle of ſight, and write the names ofall thoſe townes at the poynte and degree that the
the 2. fl
And furthermore, write in the paper che 4. prineipall windes, at kaſte, weſte, noꝛthe, and fouthe.Cuen as the coaſte of the countrye dothe ſtande: and then dꝛawe righte lynes fromthe Center ofthe Circle too the Circumlerence, to the place where che names ol * ne rink te 8 cape of the
A f Aab.
* 2
e fanbe bpon,at the teme okthe takpng al them with
oo
„ ee ft Booke a
And thus doe by euery tomne wpiteen on the edge of the en and chen that ſtation is finiſhed. And then furthermore, — | ‘i to what place that pou doe meane foꝛ to goe vnto foꝛ to make pour ſeconde tation, be inge one of thole that you haue obferued afore. Foꝛ the fyꝛſt obſeruation is to no purpoſe:ſo that pou muſt of foꝛce haue 2. And then vpon that Lyne that the name of the towne or Pyll that pou doe meane to goe bute, leite one cfthefeeteofthe compaſſes, and with the ocher foote of the compafics make an ther circle inlpke maner:then dꝛaw an ether Meridian Lyne, and be (ure that both the Meridian Lynes doe agree the one with the ether, and ſo deuide that circle into 32,0qualt partes, as the other as in all popntes: and then goe by vnto ſome high plate that was the marke befoze, and then lay pour inſtrument afore pou a- gapne, ſetting it by the needle due Bou and Ror, and (oles the inſtrument ſtande. Zhe . ab» And chen turning the Athelida to fede wi ag sete tathen be equation. — Fane looking thoꝛow both the fights there there the g theltda both ſtand, and white the names of thoſe townes agayne pot the edge ok that circle at the poynt and degree thatthe Achelida doth fant von: and doe thus tyll chat you haue taken all the townes that were obferucd at che fpr ſtandings: and then dꝛawe right lynes from the Ceuter of that Tirele, by the edge of the Circle, to the names of thofe Cownes that were written, and ſo the tpees foot runne right to the fives of the Paper. Then tooke where 1 the lynes doe cralle, there make a marke: fey chert ſtandeth the Towne oꝛ place that poubaue obfcrwer. And now in lyke maner, y pou lpck, volt may Rif the diſkaunce From one Towne to an other, as thus: fet, yon mit nieaſtne the diſtãce betwen any one towne to another. chat groũd being mea ⸗ Lanner digg lured, you muſt make a Scal op tronke of mefure on che Ude or the aupplact. paper, and then meaſure the diſtaunce betweene thole 2. Townes in the paper: chen accoꝛding to that proportion of in eature make - pour mples inthe Scall oꝛ tronke of the Carde oz Mappe: an that beynge Doone, pou map knowe the diſtaunce with a payze of Compaſſes hetweene any one Towne oꝛ Townes to the other, by che Scall of the Carde: and then this beyng daone, you 9 at
1 i > 7s 0 ; .
| of the treaſure fortrauailers. 28
hat apne in an ether thing without lynes, and bewtyfpe that at
0 ree example thus, by the partes 02 countxpe a: 1 aueſende hve - “ Curt 18 0 ‘
Fpꝛd, I tooke the JInIrument, and then in lyke maner J mave a 4 Circle in a theece of paper: then Amema Werivianiyne, that ia * Snemrie. to ſape, alpne trom the South to the Noꝛth: and I deuided the Circle into 52. equall partes, and then A wꝛote the 4. pꝛincipall windes in the foure ſydes ol the paper: that is to ſape, the Catt, Wek, Nozth, and South: and then J went vp to a Hyll that ſtandeth beſyde Graueſende, called Ruggon Myll, and chere be⸗ ſyde the S yil J made my kyꝛſte ſtandinge: and then J obferuen al shole Townes and places folowing: Fpꝛſt Clyffe Church, and that J tooke Noꝛcheaſt and by Eaſt, and the ſixt part ofa poynte tothe E aſtwarde:the next was UAeſt Tilbꝛye Churche, Forth, and . of a poynt to the Eaſtwardes, and then J tooke the Bule warke of Neſt Tilbꝛye, Noꝛth, and 4. of a poynte tothe Wick
nardes: and then Sooke Graucſende Churche Meeple, Mozth and by Neft, and z. partes of a poynte to the Meſtwarde: and
then J tooke little Thurrock, Nozweſt and by Noꝛth, and the 6. parte of a poynt to the CAeſtwarde: then J tooke Grapes Thur · rock E, and the 6. part ofa poynt to the A eſtwarde: then J tooke Sainct Clements Churche, Celt, Moꝛthwelt, and § tothe Rozthmardes: chen J tooke Noꝛth fleere Church, Welt and i. partes of a poynt cache Noꝛthwards: then J cooke Swans kam Churche, due Wieck: then in lpke maner J tooke the Uin⸗ pard Mill, Hie, Nozthwelk, and I. parte of a popnt to che Mell wardes: then IJ taoke Pappam Church Southwelt, and J. part of a poynt to the Meſtwardes: then J tooke Cobbam Churche,
Southeaſt, and by South, and J. parte of a poynte to the South · wardes: then J tooke Sboꝛne Myll, Caf, and by South. and . partes ofa poynte to the Southwarde: Then Jtocke Chaulke Churche, Cat, and 3. of a poynte to the Seuthwardes: and lo F make an ende of that ſtand eng. ind now J chofe out for my ſetdd ſtãding, Tleſt Tillary church, A dpd aaw a Lyne ftũ the Center of che Circle to che r
ence
—
a 1 “+f
ue firft Booke ference of the Circle, to the title of Tilberye Churche beinge Moꝛth, and 4. of a popnte to the Eaſtwarde. the Lyne paſſynge ryght to the edge of the paper. And then J tooke a payꝛe of conte
palles, and fet the one foote ofthe compalles vpon that Line, and wich the other foote J made a Circle: and then Imad ea no ch er ;
Merivianlpue by the other in the other Circle, ſo wat the one dꝛd agree with the other:and then I vtuided the Citele into 32. equal partes, and then J went ouer the water to Tiel Tüberp Church, and then J lapde my inſtrument bekoze me, and ſet it due Mozth
and Souch, and there J obferued al the townes and places before named: as Cliffe, Catt and f. parte to the Moꝛth: Shozne Ppll, and Chaulk Church, South Cat x by South sans parts to che
Southward. Cobban Churche, South and by Cat, and z. part to
the Southwards . ape oer
Church, South and by Melt, and } to the CHeftwarde, Tüberpe Bulwark and Graueſend, South, Southweſt, and 1. to the South
wardes. Maozthe Fleete Churche: Southwelk, and 4 to the
South. Swanfkam Churche, Souch welt. and z. ta the Celt
warde. Saint Clements church, welt, and bp South, and z. parte
$0 the Melt. Grapes thurrock, Meſt, and z. partes to the South. Litle Thurock, Melt, and z. partes to the Seuthwarde, «ws The Ulneparde Mill, Melt, and z. part to the South warde And fo I make an ende. And then F dꝛewlynes krom the Center ofthe Circle to the Circumference, to the title of che names of the
Townes, and (oF paſſed by the right lynes to the furtheſt partes of ebe paper, fyꝛſt vpon the one Circle, then vppon che other, tpl
shat I had dꝛawne ſo many Lines as that there were Townes in boch Circles: and there where that the Lynes dyd crolle the one the other, J made a marke: Fo there ſtandeth the Towne, as by chis Enlamyle it doch appeare. 9 5
1
The A «| : . * 9
— 2
=r
Vaggon Hill, the Pille South, 7 à tothe Ctewarns.Bephanr
ofthetreafure for tranailers. 29 . Thex6 chapter foeweth pon hom for to make a Tromke er od halle of meafure in a mappe or Carde , whereby. you may Hum the e in meyles that it ts from one towne to an 5 e N Laas being 3 na tbe biftance from ian haat die fewieto another Foz as manp tawnes as pow heue ebferseds-andif pou lyſt pou may goo from place to place ,tplt that you haue orferucd. and taken all the Tounes in a wnole te⸗ gion o) countrie, as thus: fir ſt mneaſure the diſtance in mples krß anz one caume to another, hen that diſdance being knoume, make 2 Ctonbc ch Shall of meaſure unth a pare of rompaſles, act: - ding tothe dia gee taken with the compaſſes hetwene thoſe 2. é — 5 paper. Then thet being truly dimuded into myles Pon es | sie oe ofmples ,thenpoumap kno the ofmeaure te ce dom one towne to au other thoꝛowe all a whole re / know the vi ae ; by the replying it with a payꝛe of compaſles, 1 are gape perceaue by the, rule or Sokall made vp pon tganother, fthe paper: and che roundles with the prickes in 2 mples: and the pꝛickes meaſured betwene them, is A a mple:as enſample , ſoꝛ the makyng ok a Tronke op „ Fick, I mea ured the diſtaunce between Nopthlleete Sut 1 Graueſend Church, ¢ found the mealure vpon the righe ne 125 and halfe a quatter: and then Tmade s Tronke he N card v as duschen Ftoke a payne of ear“ |
3 n J finding the mealurt tobe ample and. . partes ot a myle; I did rebate the 8, part of a myle: and then chat which din remayne was iuſt a myle: and then atcozding ta that proportion of neaſure, I made a Skall oz Tronke of meas fare on the fide of the, 2. Circlez, and beutbed it into. 4. cquall parts, and euerie one of theſe parts to be one quarter of a mple,
a the demonſtration afope made, it doth appeare. ow whens saa pou do deſire for to know the diſtance from any one
Hé Towne
Due fit Bookes
An enſample towne to an other, chen take your compaſſes, and open the com⸗ howtorepy paſſes ta the wideneſle betwene che. 2. townes, that the one foote aparae of com might ande vpon the one Cowne and the other vron the other. dhe viltancet Then ſet peur compaſſes to the Skall op Cronke ok mealure: vnto any town there (hall you fee the diſtance of myles open with halfe myles: aflygned in ane and quarters of myles: as fo enſample this, by certapne places rde el Map. afqꝛe named. which is (Clyffe Church, and the vinparde mylle,) and the third to be Graueſende. And the vinearde mille, and Cyffe church, the ene bearech from the other by a right lyne Eaſt @ weſt. Clyffe Church a quarter and halfe a poynt to the Noꝛthe ok the Eaſt, and the vinyard mille a quarter cf a poynt to the South, ok the weſt, and the diſtante betwene them by a ryght lyne, ouer the water and the land. 8, myles and. F partes of a myle:and Clyffe Churthe beares from Graueſende, Caſt, Noꝛtheaſt, and to the Noꝛth: and the diſtance ouer the water and the lande by a ryght lyne, 4. myles and g. part of a myle. Then the binparde mill bare from Graueſende, elk and by Nozch, and part ofa poynt tothe Noꝛth: and the diſtance to the mill from Graueſend. 4. myle and. . partes of a myle: as by this enſample it doche appeare.. And now you knowing the diſtance vnto any place alſygned, pow map know the height ok any hill, oꝛ the deepneſſe of any valley, by the oꝛder declared in the Chapter there by the Stall, oꝛ els by the degrees. er. Faris Si en eee ee The vimard Wo. ! mpl,
of | the trea ſure for tranailers. 30 5 hate 77. Chapter: ſbeweth vnto you hom yon may male 4 f er maappe far any coum rie, placing ii it the true Longi. dude and the true Latitude: And alſo hom for to Wen 5 = eee and then true latitude. nny) Sak f Ow fessbamrenjetfchacyen liſte, you map make a ee Ng) ebewtifptt at pour ple aftre, ¢ make it fairer, epou may nawe teelangitude and the latitude of cuerp place, as thus: fet, vou may take the diſtance of euery Cowne and Riles, and Hill, og anꝝ other notable marke whatlaeuer it be, and chen make a marke for the name of ſuch a Towne, according
to the abſeruation chat pou haue obſerued afore: bothe the diſtance,
and towards what coſte ofthe contrepthe Cowne doth declyne, atcozding tu the croſſing of the. 2. lynes, placing in it the principal xyueta m waters:and then in the very midle ol the mappe oꝛ carde
Make a Meridian lyne, to the intt᷑t for tu rule al the ret of the woꝛk.
An then tache margent of the card, from the South to the Noꝛth, How to male vpon boch or tho edges ot the mappe oꝛ card, place the latitude of A cerde ) plat the country, (that is ta ſay) at how man degrees that the pole Ar⸗ * tick is lylted al bie your oz izon, as poumay know it by peur N longiinde and tealabe, by che altitude ofthe fame vpon the Merydian lyne, know: oe oo
ing nbatdrclination, the Sun hath we that day of the moneth ™
that pou take the beight of the Sunne. Ind then ifchat the Sunne . renee Gath IDapeh Declination you muſt ſubſtract oꝛ pull away che Suns the tesieude of. detliuation wich degrees and minutes: x ik South declination, vou en place -
muſt adde oz putte to the Sunnes declination with degrees and mimuteg: an then that which ſhal remayne ſhall be the altitude ol
che Equinoctial. Then pull that ſlime aut of. oo. dearces , with degrrea and tatsache remannder walbe che beightokel che North f
pole Artick aboue the Hoꝛizon. | And kurthermaze, vou may knot the lacitune of any Cilie or Countrey by the tarres af the South oꝛ ſtarres of the Noꝛth,
knowing there tut deelination from the Equinoctial, dooing by them as pour dde by the Sunnes declination in all poyntes. And
chenif that wep bee Rother ere „ron mk knowe 2 ™
WDaye fit Boke
Asten We and chen teint Marve be tour eh pole; |
then pou mut pull that ſũme away wich degrees and minutes. And ikche tarres at the time ok pour taking of them, be onder the Month pole, then put to that which is the diſtance of the ſtarre krom the pole, unto the height of the Herre: and that inIpke mans ner ſhall ſhew vnto pou the true height ol the oꝛth pole Artick
aboue the Hozizon. And then in the margine of the mappe of te Eaſt (pve and of the weatt ſide, you may wite the latitude directly, in that Catt and welt lyne of that place which you haue oblerued the latitude of the Moꝛth pole: and then that being trulpknowen, pou map knowe the true latitude of all the townes in a whole countrie o2 Region, knowing the diſtanee to euerp towne op place, ag thus. Euery. 60. myles going directly South and Nozih, both anſwere vnto one degree. } And then kurcher, tf that pou would place che longitude, and 4
chat pou-canmot get without a globe, 02 elſe a Carve Coſmogra⸗
phye, d; elſe pou mutt follawe ſome autho who hath witten there⸗
of, and bycauſe pou cannot get the longitude with no inſtrument, fo} that the whole frame ol the firmament with all the lightes therof be caryed round about in 24. houres, ſo that thereremainetß no marke neo lyght that ſtandeth tll, but onely the two poles ok the woꝛlde: therefoꝛe J will ſhew vnto pou hom that you may get tde longiuide with a globe oꝛ Carde Coſmograpbpe, ſ chat it be
truelp placed in it.
Firſt you mut meaſure the longitude from the Meridian ol the Canarie Jlands, oz other wiſe called the foztunate lands, and fo take the number ok degrees from that place onto any other
that hath that lame Meridian that your Tolone oꝛ place hach: ani:
that Halbe the number ofthe degrres for pour place. 9 And then pou bauing one place true, poumap ime be it un. i gitude in a whole region oꝛ countre. But there is one ſpeciall thing tobe noted, and that is thie:
/ The. degrees of lengitude be not ſo many myles in length as the
degrees of latitude Foz as thoſe places that be ts the ſouth partes of thys ſyde ez under the Equinoctiall be as longe as the
ta pri of latitude, ſa that to *. of 1 * 1 Fſhofter. 23.
of the treaſure for trauailers. 31 as J baue declared in the. 16. Chapter of my booke’ calles Negement for the Sea, ag bythis Enlample it doch appeare,by
che Realme of Englande.
ee ee e eee ee ods 3 oo: os Baa ie geil | Far el sie
(ewcaste 7
N org. Nie “a
Col hanton
f
£0 Tie ti a 4147 16 47 is id Z 21
is es
» Mowe whenſoeuer that you doovefire to knolre the longitud e and che latinme of any towne op place in a catde, after that the Mappe oꝛ Carde is dꝛawue, then doo this: Firt,by the enlample afore made, holde a Ipue op a ſtring, the Map lping flat c plapne goto to knots bpon a table before pou; And firſt io the latitude, holde the lyne be longtiune Cat and Wek rygbt cuer the towne and place; then by the en ———— fample aloʒe made, pou doo fee the latitim es be bpon the East S
lde, and vpon the ek ſidez chen by the lyne pou ſhall know how f manp degrees and partes of degrees „ the Pole is rayſed aboue
e Fozizon. And chen in like manner for to knowe the longitude: an towne ina Mappe oz a thelpne due Saut it, and
pul
—— — — — — — —ͤ—ô — ——
1 The ft . e
ge the totone ae 8 ; belive forto inane to 1 due S W and Noth, which
is called pour Meridian lyne, vou nul dos chis: Foz that the des grees be ſhoꝑter to the North partes, then they be to the Southe five oꝛ partes of che Pap 12 25 ob Carde, therefore pou mutfeeke the number of d beget tbat the South tive and at tye Roche Give all at one time: bolding the lyne proportionable right ouer
the towne: chat is to lap, halle degree fon halfe degree, and quate ter lo; quarter, and ſo wach to the leaſt E ofa dende
The eighteenth chapic — Unto yon a * 975 may place all the principal riert or waters truely in a- nye Carde er Mappe.
Pw furthermore, as it i fctenlp declared bene lobe fo? to deſctibe oꝛ draw a Wap oꝝ Card, o; a whole region oz Country, and alfo how to fynde the diſtaunce from one Toune to an other: therkoze for that it is one of the ſpeci⸗ all matters, in lpke maner ta dꝛawe oꝛ deſcribe the pꝛincipall rp: uers oz waters Within a Region op Countrye into a Pappe oz Carde:: therefore after that pau haue obſetued all the notable Tow ies and places worthy of meimozp, then pf pou canne take a Boate and lo go all the wale length of the water op riuer in the very midle betweene bath the landes; and then with a WMityners Campalle pou map ſte how that che tier doeth trent oz carne’? then pa hauong che ob ſeruation about pon, then von maß knowe
hem te place hom lang chit chew itet dathtrent p tha :p ant, oe by the dhe as n in irkes of thelande, wyicht potn halle ade oblerued: and then ſo
wertes in x
1 wap
otten as the in iter vat) turne oy Compalſe about, pou fall ſee by’ pour Sea mans Compaſle, and howe muche: and fill pout Galt know the length bythe marke vßon the ſhoſe | And then pou mut dꝛawa crooked lyne ints the Paher chat vou baue noteb chafe Tawnes and places, inthe Region where chat thepaprcipall plates Se,aeroppinyta dyeeroting olthe N92
Uns lh
ehe treaſure for trauailers, 32 mn euerpe place the erdoked X yne to bre made actopdinge to the trentinge of the Niuer oz iater, and cuety trentinge to bee ac: toꝛding vnto that poynt oꝛ Mynde that the Compaſle dyd ſl ewe to you: and this being done, ydu may knowe the wydene ſle «of the Mater by the obſeruation afoze taken, ond then Ads pou map dab pout Plates, and fo bewtifpe t aan at pour pleaſure, takinge the crooked” : pique: Lyne from the verye middle ak 8 be Mater,
. 4. ) —
, nt 10 De 25 the
et ft part of this Bool. Lisi
a treafure for Trauailers.
Fits to i dees of Nhs
*
% 2. 5 1 1
The 85 cl of tlie firſt parte conteyning tlie makyng of the Quadrant with the Skall „ wiereby you may knowe the height or lowneffe ofany things.
The Seconde Chapter is of vpright fhadow,that is to faye,to knowe the heighte of all thinges taken within the length ofthe thinge.
The Thirde Chapter fhew- ethhowe for too knowe the heighte of anye thinge with the Skall by contrarye fh- dowe, that is to faye, with- out the length of any thinge fo taken,
The Fourth Chapter thew- eth howe to take the part of any height,as the length of a Window or ſuch lyke,
The fyfth Chapter fhew-
eth ‘hows lor to 8 the diſtauace of manye thinges tchit is from you, and alſo whether any other Towre be “higher or lower then the To- wer that you be vpon.
The Sixte Chapter thee ia eth howe for to knowe the height of a Hill, and alfo the
diſtaunce vnto the top ofa-
ny hyll with the Skall.
Ihe N clean fheweth you by the Skall of the Aftrolobe to knowe the true wydenefle of any Wa- ter, or howe farre that anye Shyppeis of from you, or to take anye great diſtaunce by layinge the Altrolobe flatte beefore you with the Skall
vpwardes.
The Eight Chapter fhews — eth vnto you if that you doe kuowe the diftaunce, then you maye knowe whether it bee higher grounde or low-
erthen the place that you are .
Ne regſur fer nauailni. 29
4
vo
ela ug
lle vigor. myll : nba 0 ay = 1 kent 2 r 6 ies | : . cast sexe A. Stork pt
aE Dye Luce
| es Di; The
| : heightofany thing with the Ihe ninth Chapter ſnew- Croffeftaffie, 2.01) 0°9 Desob: eth the makinge ot a Croſſe- ſtaffe that in ſome caſes is Ihe fourteenth Chapter better then the Skall of che fliewethvnto you howe that Aſtrolobe or Quadrant, you ſhall know the diſtaunce of any ſbippe from you, and Il be tenth Chapter fleweth you being in another ſhipp e, how for to vſe the croſſeſtaffe, and both the fhippes ynder fror to knowe the length of ſayle and goyng, by the croſſe any wall or the diſtaunce be- ſtaffe. tweene any 2. markes, and al- ſo the diſtance from you vnto Ihe fifteenth Chapter ſhe- any wall or marke. weth vnto you, how that you fhall make an inſtrument The eleuenth Chapter fhe: whereby that you you maye weth you how for to take the deſcribe a region or countrey length of a wall when that whiche you may call a Hori- you haue not grounde large zontall, and alſo howe for to yenough for your. 2. ſtations take the plar ot any ground. or ſtandin
12 The fixteenth Chapter fhe- he twelfe Chapter ſnew- weth you howe to make a eth you howe for to know the Trounke or Skall of meaſure diſtaunce vnto anyz. markes, in a Mappe er Carde, where- or to the 2. endes ofany wall, by you maye knowe the di- by the extracting of the flaunce in myles that it is
fquare roote, from one towne to another. The thirteenth Chapter The feuenteenth Chapter TRA a iA fhewetly
0
-
9 9 2
2
thewethvato you
* 882 1 as 1 2 5 i 1274 51 sid 13971001 204
nl: i 8 3 781119 n D
, greed bets eile yor Pere 99 Hein Sh -word PMe-P 40 hy; ad, or, > E oe 0 E „ Dornen 2 {4810
a.
e HDH ai 8
aisd HOY reid ad- diod baz
- 2 1 1 9 fe os fx 5 16860 (G3 Da, N — * ae 42981 Par oe
EH danger od T ; worl . soy otay d
bir.» PTs its!
: 7 fi
7 Ve 1 *
fis whit Is: -
TOY tigre to ce Jad“ 1 2 1 e, as Se ln an 8 7 ig 1 J isin sk
“
e OF HdHGHO t OUE
Tn 184 N 123 Lis 42 tile O 1 222481 - _ > 7 * 4 L ~ 3 — * 1 28 Ni Hair LI OW > DESC GO Senn 2 ; 4 „ siadw obs 2020 EM E NI > * — ~ - — es a a 7+ SwoO 14 St ne wry Mi orn soy yd 4 2 1 1 20 1 eslun ti sous * SOM 013 Ane men
‘may place all the principall ria vers ot waters truely in anye 5 Carde or Mappe. ved qide for to knoue the true longi- ee 19
Tit int Rows ST
The eyghteenth Ch: ch vnto you, howe
‘ eae)
—
t Hui) f Hr 20102 10 nin. ei esl HG i te U 10 llale
2282 * 8 7 Nennen Ju — 4 ⁹⏑ꝰœ◻—7— 10 do
3971 i? 1
will 11 ton 01
4 4
diowadliaged due. _esishon ols Sy of z9} vot Gi to ssgasl sds awomh ot ~od neh dz 10 inwyng 9 Dan gt. yas Sazows — Olav sO(inerlsasiibodsok
witenioliswyas |
of gad Ante aT
oft eat cn 10 wol MOY niow
gait fd Rau & Jo dtensl
51 sbavorg 20n ouad no | eos. S. au zai dauo 19 i
2 dibnaſt 10
943 wond oi iclsyod sort nts TH. V olny sonushib - elle ih. f o od. 20 gg gti yd
22007 Stayt
su oll
5 18 eee of the sansa I
fen 7 at’ “i ei a att cn beat
— 55 8 the . then be from you 4 . 5 alfe 775 1 inet inthis booke, hom dyuers. notable rr
ope, Africa, Aſia and een foundry, ipall lands in the fre, both by what diffance they be ct from London, aud what winde or p nt of the are fro Lend, & alfa theyr longeft 2 the pie a {pet that ir ro [ay howe much the-Mooxe fralchauge. rather or later, then it doth at the Cytie of London: being 4 K a at 77 all fortes of traualers eyther a Sea or 3 Mritten hs Wilm Bourne.
* — ＋ qty 883 tr Be
“qe thec courteous Reader. 15
. 4 Riendely, Reader, wees is conteyned in this ſeconde Booke,how by the Iongitude \ |fandthe Latitude, toknowe™ SN ithe diſtance vnto what quar- Alter of the worlde that anye place aſſi gned is from you: that is to faye,how many r mi- : les, (according vnto our en- glich. accoumpt) and b 10 what poynt of the Compaſſe anye Citic or Towne, or any other . notable Place is from you . — you bee; vppon the face of the whole Earth. . And for that the Citie of LOND ON isthe moſt no- * famouſeſt place hecre in ENGLAND 9 Aa. i. ore
*
“qo the courteonsRealders. ae fore I haue thought it good, tõ afigre the Citié of London to be the place appoynted, how farre ſundrye notable Cities and Townes, and other places worthy of memoryè are from the citie of Londò, both their diftance in miles, & ynto what quarter of the world they doe beare from the Citie of Lon- don, according to their longitude and latirude, accordingly as ſundrye authors hane ſet downe their ‘longitude and lati- tude: and alſo there is contayned in this ſecond Booke, the diuerſitie aſpecte, that is to faye, how much that the Moone:
‘fhall change rather or later, then itdoth at London, accor--—-
ding vnto rhe Longitude of the places that are mentioned in this ſecond Boołe: and alſo the length of the longeſt Som-
mer day at the places named in this ſecõd Booke, according
vnto the latitudes of the places ſette downe in this ſeconde Booke. And for that there is no perfon that hath trauailed generally through the face of the whole earth, therefore they muſt needes of force folowe ſuch authonrs, as haue written therof whether they be true or not : and therefore you muſt needs take thẽ as they be, for otherwife I know not how itis: poſſible for to doe it but onely to folowe the beſt and moſt Learned authors that haue written in thofecaufes, And yet the learned men that haue bene afore time, muſt of force folow thole that haue ginen vnto them the notes of the longt tude and the Latitudes of any places t hat they haue not bene at them ſelues, Whether they be true or not. And there bee a number of perſons, who if they doe fynde but a ſmall fault in any Booke, then by that meanes they will goe about to dit credit the whole matter, often repeatinge the matter, yfthey doe fynde any errour in it : as who thoulde faye, whatacun- ning man he is, although in all the reſt of the whole booke, hee is not able to fay any thing thereunto. And it may bee ffible, that hee may haue no iudgement in the reſt of the cauſes, how neceſſarie fo euer this xeſt of the ſubſtance of the e 775 TIO Do els ad? tain Jona _. Wherefore gentle Readers) if you doe finde any 2
Leta 5 a f ** * n FJothe Reader. oH 72 this Boke, chen gentiy g eue Md wat ingthereofandif you . doe amende the faultes therin contayned, then I fhall bee the more beholding vnto you &c.For as touching the longitude and the latitude dente men muſt credit thoſe that haue Dieene there, for che truetk of the matter : and yet euery man that hath bene at any place, cannot do it. for the. 100, perſon
that hath trauailed vnto places is not able to take the true latitude, but much leſſe the longitude of any place. And een re, as touching the true diltaunce-ynto any place: 3 gned, hat cannot ber by any 0 e poynt of che Com- Haſſe „as is declared in this Booke. &c. Aud se aie Gente Reger) eee, sift uu „ tae almightye God for euer es tA] pea Nins Ge Sk AE ons ne , Wee neee een n ne e. 72 aon ne gd d on na dun I eus 2 8 2 noeh 3d n 50% eto * ees yao
— * 4 = 1 1 7 * -
U 2 Nene re * 0 7 * p= | t 7 1 * - 0 . 0 — P NI oT; © : _\ " * * eft 4 Qs - 138 oF d 1 84 ee : a : ayv7¢ % ‘ ' 8 41 ’ "rs 1301 } : we : 9 J a* 1 ’ 2 4. M. 0 1 043 2 73 5 A ue Ss HIS . 0 Util ni oe * 3 * 2 „ . Lee? ~e¢ ¢ ,* rink - "+ 2 pt - < Sorts Heise inc 13° me 162600. 1 D 16 Nad oi 8 820 7 oe! 4 — 3 1 of, St aa. ¥ Ne 7 la ¢ 39335 City Me . > : Jo % ¢ ’ Lik wis wae Ini of
SONAR CHG HIS eee Ae wan Th Se Ch ung g 9
~ * a 8 4 en otal oP > - + = Ii) a) eins:“ ; ff RWG ¢ : +e — 195 rh 2 53 : Su , vu i - 03 117 O pt ~~oet- : — - i . ‘ ~ — u — shitty > f 1 ; : : J Swans CY — „ enn A rife 1 * 5 — ieder 30) ca Umeumpo n Hans e 9 > 0 1 2 , : e 750 >| *h) 2 1 Oct oy 10 : i«? 6 - } * 6. 4 K. = SIF - 1 0 3412525 8 erte 1 335) C he ? ~ 2 : +) pice * 1 : . on trt 4 * 21 * Jen d. ; > o Birdie 4
Che neareſt Way ouer the
Ihe ſecond h
oke of the trea- coy N bene eu fan Tauaylercw. foc eld Lm. FHN stasis e/a silt bel
; WII. . 4 tg denn — f —1 N 12 "¢ = AS Py bet thee | dale —
The ßrſt Cha ter ofthe Se-ond booke; fhewing youhow for i : . — ance dito any Thos ‘pbk te fate . 7 eh and hat ic bo be Conpdéredia the dabigthereof.ce, | HSD OF ue e, ee Sine . EF Hr bed sshlq Nn io hin osha Selin i met r | Dine bebe ſecond booke, che / e 14 (ppc ee the dune unte anp Cowie, oz itie, dd place vpon che face of the earth, (Ae 25 fe keping one poynt oz winde ouer the eS, so Ver Sea and LAN D e, although at ON SAS Ae that it be not the very neateſt way, , kon che verp neared way cuer the Sea and Land can not be by one popne of the Compaſſe, except it be vpon the Perivian lyne, that is, due South oz due Noꝛch from pou: oy ing vnder the E quinoctial to he due Cao Meſt. But ifie be in any other place from vnder che Equinoctiall, although it be due Eaſt an Meſt, both the places to ve vnder one Paralell: pet
1
Dea and Land in the going due Eaſt und Wie, is not the neareſt way auer
is noc by any one poynt ot᷑ the compaſſe.
An enlample.
the Sea and Land, but che next way ouer the Sea and Lande is, by diuers wyndes oz popnted of the compaſſe: and the furs ther krõ the Equinoctial to epther of the two poles, the greater chaunging of the poyntes ok the conpaſſe. Fo the next way ouer the Sea and the Land, vnto any place, is ta goe by the great circle which is equall vnto the Equinoctiall oz the Meridian circle, which will not be accoꝛding vnto any one poynt of the compaſſe, but vnto dyuers: as for pꝛoofe thereof you ſhall haue this koꝛ an enſample thus ꝛthat in the latitude of. 6o.degrees that there were twa Townes oꝛ places in that paralell, the one being oppoſite o2 right againſt the other, that is. 180, degrees,
and a degree in that paralel doth containe. 30. myles. And nowe
te
a of the treafurefortrauailers, 3
to goe ind Eaſt oꝛ Weit in that paralel, to come bute the place alligned it is. 5400 myles: as to; pꝛoafe therof, multiply. 180. tmpmes. 30. but that is not the nert way vnta the place allygned: but the nert wap is to goe by the Perpdian lyne, that is to fap, to goe due Nan th, vntill you do come ryght vnder the pole, and then to got by that Merydian, due Sauth, tyll you haue that lati⸗ tu de agapne:and then it is but. 3600. myles, as pou may knowe by playne multiplycation, as it is from the latitude of, 90. de⸗ grees, vnta the pole, to go due Mozth. 30. degrees, and from the pole, Southward agayne, other. 30. Degrees, that is in all. Go, degrees: and then to multyply. GO. tymes. 60. it theweth the true dyſtante. which is but. 3600. myles. nd to poe by the pa: ralell lyne, that is due Eat oꝛ Celt, then it is. 400 nm les, that is halle ſo much moze, as by plapne pꝛoote pou may know. But ik che twa places be both vnderneth one paralel, & be ſhozter ttzßẽ 180. degrees alũder, thẽ it requirech to go by diuers points ol the compaſſe, and not bp the Meridian, accozding onto the rhe keien paſſ ng ofthe great circle, which d roth cunteine in circumference compate of the 21600. mples, which is the greateſt compaſſe of the earth, and earth, 21 50⁰ not accopding buto moe paralels chen one, which is the Equinoc⸗ wels tial, necher vnto no one poynt of the compaffe:fo2 any poynt of the Compaſſe will bring pou vnto the poles of the woꝛlde, oz verve neare, ercepte thole that be pararel, which is Catto Welt, as gig pits all ryght lynes dꝛawe being extended, exceptynge lynes para: wil bring von fell, will Crofle the other in the ende: fo all the poyntes of the vnto the pole ol Compaſſe doe winde vntylthey doe come vnto the poles oꝛ very can eave the poles ofthe wohl as thep be all ipilicall Spherall def. ’
Therefore there is no one poynt o2 wynde, thet can be pres ſcribed to be the next way by that poynt onto any place aſſygned, but onely the Meridyan lyne m lones:and to goe Cal and Weft, + thentobe under the Equinoctiall, for che nexte way els is by : lundzy poyntes of the compaſſe cc.
~ Miberefore J omitte to fay any more thereol, but onely to
wheww bnto you, bow fay to know the dyſtance onto any Touwne n plate ſituated bpon the se — pete Pain panet
2
be ſecond Booke 80
lygned popnte of the compalle, then foꝛ to knobwe the true di
ſtaunce ouer the Sea and the lande. And J doo ſhewe it thys pon tan net wape. fo tina cauſes, the firſt is this, forthat it is not poſſible dalle the nen · lo paſſe the next way, by the meanes ok the frozen Zone, Mher⸗
tel war konte fape it is uppoled, that it is nut nauigable in thele Seas, ney-
is thoꝛob the
keolen zones. ther pallagtable by lande in thole Countreps: and the ſeconde
cauſe is this, as befope is declared, in the geyng the next waye, it doach require to goe by ſundꝛp poyntes of the tompaſſe, which noulde be but a confuſed matter, forthe moſt part of thoſe per⸗ fons that doo deſire ta knowe the bifaunce vnto anp place allig.
ned, neyther (hall he knowe lo rtadily which way it ſtandeth, op -
beareth from hin Sa
Atonfuſen And furthermoße, in the knowing the diſtaunce onto any plate matter 1 fay alligned, and by what poynt of the compaſſe it beareth, this is to seid bp dimers be conſivered, that the L ongicude dooth begin at the Meridian of poyntes ofthe the Cannarp Sland, and ſo to fellow bate che Caſtwardes, and ſo compale. ending at, 360. againe at the Cannary Jlandes, ag I doo ſhewe in mp booke called the Regiment for tlie Sen. The ſicond Chapter foeweth unto you, hom you maß,
Epe the diſtauuce unto any Towne ſituate p. pon the face ofthe whole earth , ſo that you dose
Eiome the true Longitude and the true Latitude of them, e! Nr
T Div furchermore, ik that pou doo know the Longitude and the Latitude of any to une oz townes, lituate bppon the earth, vou may know the diſtaunce vnto them, as before is declared, as thus: Ik that the cotone be iuſt Eaſt oꝛ Meſt from you, that is to ſap, chat pour towne 0} place is under the Pa⸗ Ce ost the ratel that the other towne is, that is to ſap, thatthe Pole artike ol dittance of any that towne oꝛ place is fo manye degrees aboue the Dopizon as townefrom pour towne is, both in degrees and minutes: then ſhall pouleeke ron, if tgat both ham many degrees of Longitude, che other towne dooth differ frs ede shit pours: then pou (hall feeke bow many mples that one degree thal tel, anſwere vnto it, in that paralel, and then pou ſhall a
of the treaſure for tratiailer 5
one by the ather, that is to ſay the begtees by the myles: and that lunme which commech of that multiplication; ſhalbe the diſtance betweene the two townes as foz enſample, ihus: by tl e Citie of Au enlamyl London ¢ Antwerpe in Bꝛabant, which differech but. 4. minutes wr in Latitude: la; at Landon, the Pole is raiſed. 51. degrees t. 3 2. minutes, and at the Citic of Antwerpe, the Pole is railed. 51. de⸗ grees. 28. minutes, therełoʒe we be both vnder one paralel. Mow the Longitude of London is from the Cannarie Ilandes. 19, des grees, and. 54. minutes, and Antwerpes Longitude is. 26. des grees t. 36. minutes, ſo tbat Antwerpe ſtandech Cak from L ons - don. 6. degrers. 42. minutes. Now muſt J know how many miles a degree conteineh | in that paralel, (and of that doo make men. tion in my booke called The Regiment for the Sea, inthe, 16. . chat J doo ündeto be 3 mies to one degree. The
IJ multiplie. 6. times. 37. becauſe that it is. 6.degrees ct. 37. mien ta one degree: and ok that multiplication chers commeth. 222. Then chere is. 42. minutes moꝛe, and that. 42. minutes conteinetg isa neare. 26. myles: ſo that the whole ſumme or myles from Kon- don to Autwerpe, by aright Caſt line ouer the Sea, and the land,
18.248. mples. Row furthermoꝛe, if that towne oz place haue that
gitude that pour towne hath, and bath another Latitude, that 8 ig tofape, that it booth fande due South op Nozth from pou y ha- Nane it ih ting all one Merivian ipne,thenmutt pou looke howe manpe de- porh che places grees the other tawne is Southe oz Noꝛthe from pour towne: are in one Me⸗ and then pou knowyng that, pou maye knowe the diſtaunce to ian. any Towne oz place that ſtandech vnderneath pour Weridian, allowyng. 60. myles fo euery degree of Latitude, as fo2 enſam⸗ ple thus: by the Citie of London, and Roane in Nozmandie, which hath in manner all one Longitude, as the Citie of Lon: An tnample. don bath. 19. degrees. 54. minutes of Longitude, as afoꝛe is de · tlared: ſo hath the Towne of Roane, 20. degrees. 3. minutes, which differeth 6. myles to the Eaſtwardes of the Meridian of the Citie of London, and as it is afore rehearſed, tbat the latitude ok London is. r. degrees and. 32. minuts, the Latitude of Roane degrees and. 10. minutes 2 fo that Roane ſtandeth. 2. de
eee ene a.
E
7 ~
oy \
De fecond Boke’ ©
— 2. tymes. 60 whieh maketh 136) and 4 — there is. 22, minutes mone 5 then that commmeth to 22, myles, ſo that. 120. myles, and. 22. mples, make th in al. 142. mplea, the diſtance berweene the Citie of London and Roa ouer the lea e land, by a tyght lyne betweene them. Now fürth er: moze, ik ſo be that any taune oꝛ tountrie hath an other longitude and an other latitude, chen pours bath, then to knowe the di ⸗ ſtance betweene thé, vou mult voorke thus: Firſt, locke what — latitude that pour towne Lath, and then locke the latitude ok the Vena acher towne that pou woulde knowe the dikance vnto, chen A fparborhrpe. being kowne, pou mitt feeke the longituve ofthe other coe places both nig. bowe muche it doeth differ from vours: then looke Lowe’ ter both in ton: myles of the latitude wyl anſiwearẽ ta one degree: chen that num Eataber thatis ber beyng multiplied, the number ol degrees by the mples, and to lub is that ſheweth howe manp mples that it is from the Peridian oi neichec vnder pour taume to the Meridian of the other towne, Then the 9 taune hath an other latitume then yours bath’, and ik the 5 5 bee to the Noztchwardes of pour towne’, then the degrees ok that paralell, hall bee thonter then the degrees ok pour para⸗ dell, and if the latitude of the towne bee to the South pares a of pour towne, then thal the degrees of the parallel be Ion " thenebe vegeees of the parallel of pour towne. Then in like manner as pout haue multiplied ehe mumber of mples Suite degrees of pour towne , fo in like manner vou ſhall lecke bowe many mples wyll annlweare puto one degree in that pa⸗ rallel: Then multiplpe the degrees by the myles, and it wyll ſhewe vnto pou the diſtaunce of myles from the other towne too the Meridian of pour tomne: chen the diſtance of the Souther⸗ malt foume; from the Perintan is nde myles then che other towne is Theretoze vol thal adde oz pull both vonn uff bers together; and then take halfe that for pour Eaſt and Meſt line, then thall you multyply the number of mples in it ſelfe, and keepe it in mea moꝛße then vou knowing the number ok myles of Latitude, that the one Towne doch differ from the other, then in lyke maner pou ſhall multyply that numiber in it ſelke, chen nnn „
a of the treafure for trauailers, 5.
both the mmibers pou thall adde together, then pou ſhall byex⸗ traction of Rastes,fecke the ſquare Note: that being knowne, pal be the tut diſtaunce by that poynte oz right Lyne ouer the Sea and the Lande, from the one Comune to the other: as fo ene fample thus: , Bp the Citie of London, and the Citie of Pierulalem nowe Penna Being delroped, whithe was Conicime the mot famous Citte on ©, the Clic earth, and the Latium of London, as afoye is betlareb, beinge ot Lenden. 5 t. degrees 3 2. minutes, and cuery degree of our paralell is 37. muples sand the Latitude of Hieruſalem is 3 1. degrees, aud 22. minutes, then ka; cuerꝝ degree in that paralell, ſhall be 51. myleß. Then A knowing the Longtttnde of the Citie of a bee lo degrees and zg minutes, then J doe ſecke the L tiklide of ipterulalemn and I unde it toꝝ to bee 65. degteeg, and 45. my⸗ nutes. Then J doa pull away 19 degrees 54. minutes, out ol GF Degrees F. mimites, and chen remapneth 455 degrees SI. my⸗ nutes, and ſo many degrees and minutes is Pierulalem Catte fromshe Citie ol London. Then fiese J doe multiply ne mile in a degree or dur paralell, as this:beinge iy 888 8 and 37. miles to one degree. Therefore i doe mültiplythe one by the other, that is 45, times 37. and of that multiplpration commeth 1665 then 5 r. minutes moꝛe, and that commech neare bnto 3 2. miles; then put 32. vnto 1665. chat maketh 1697. and fo manye e of London bnto the eee ieruſalem. 1 And now pou muſt multiplye the number of degrees into tiles > for the latiende of Hierulalem, whiche is 51. myles to one de Wee in that peralel, and the degrees be in number 45 degrees 51 Mis yore bs mutes: Sherfope Sze multyplye 45. by Fl. and of that multps Lay plycation chere cammeth 2295. Chen there is 51. minutes moze, and that commeth neare unt 44 miles: and put 44. vnto 2295. and chat maketh 2339. and ſo manye mples it is betweene Pie. rulalem and the Meridian lyne ok the Citie ok London, Then this being dane, J doe adde both the numbers together, that is to auh manber of miles in the yavatel of London betweene oo : prc : rly 3 N
2
the Meridians, the one being:1607.anv the other koꝛ to be 2339. then addynge both theſe numbers together maketh 4036.tben take balfe that number fop pour true Catt and CTleſt lyne, whiche upll be 2018. myles: then J dae ſeeke the diuerlitte beeweene the 2. paralels ag thus. n He u 2 The pole artick of London is rayſed 51. degrees and 32 my- nutes, and the pole artick of Pierulalem is rayſed 31. degteeg ànd 22. minutes. T hen J doe lubſtract 3 1. degrees 2 2, mpnutes, dut of 51. degrees 32. minutes, the remainder is 20. degrees 10, minute s:chen J doe multiplye the number ol degrees by myles, So. miles to one degree, becaule that they bee degrees of Lati⸗ kude, thus. 20. times 60. ¢ of that multiplication commeth 1200, 4 and then there is 10. mpnures mone, and thoſe 10. minutes come meth to 10. miles:ſo that the whole ſumme ol myles from the pas talel of London co the paralel of Dierufalem,is 12 10. myles. nd non for to fynde the true diſtance ouer the Sea and the lans by a ane lpne: you mutt doe thus by the extractions of rootes. Tpi, pou mult multiple the Longitude and the number of mys les in ic lelfe, as it is atone rehearſedi the halfe of the miles of the diſtaunce betweene the 2. Peridians of both the 1 atitudes ade ded together, chat is to ſape, as afoꝛe is rehearſed . 201 8. times 2018. and ok that there commesh 4072324. Then multipiye the diſtaunce betweene the 2. paralels in it ſelfe, that is tu laye, 1210. times 12 10. f of that multyplyration there commeth. 1264100. Then I mutt adde oy put both theſe nũbers together, and thefe 2, From qplerul: numbers being bath together, are 5536424. This beinge done, 7 pest Pou mutt extract the ſqʒare roote of this number, and the fquare lis. ud 25 roote ot 5536424. maketh 2352. And 470d. parte, and that daeth 26. contapne in mples from Piernla lem to London by a right lyne o⸗ uer the Sea aud the Land 2352 miles, and neare 25. partes ofa mole, che iult biſtaunce betweene Hierulalem and the Citie of Aſecend cn. London. So that the longitudes and the latituds be true. e Pet kurthermoze, foz pour better Enſample, by the Citie of Ces don. nice s the long tude of London is 19. degrees and 54. minutes, che longteude of Cenice is zz. degrees so.minutes, wise: Yi a * ubſtrect
4
4 7
5 Pe. ec tréafurefortrauailers. 6
rat or draw {7 degrees 54. minutes out of 45, degrees. 30. Sythe reſidue ſhalbe 15. degrees, 36. minutes. Then Cee “tests 15. degrees. 36. mimmes ta the Eaſtwarde of London, Ee latitude of Landon being 51: degrees and 32. itmttes,
atitude of Cenice is 44. degrees and 45. minutes. Then take 44 degrees 45. minutes aut ot᷑ 5c. degrees 32. minutes, the rem nant hall be 6. degrees 47. ninutts. Sa tha: Uenite is 6 de⸗ geees 47. minutes tothe South patt of London. Then pou ſhall malkipl the nu aver of degrees oflongigune into miles, and fyytt
fo» the paralell uf Londan, as afoze is declared. 3. myles to one
degree: and the degrees ol longitude being. 15 degrees. 36. my⸗ nute s yau ſhall mu ‘tiplpe IF. times 37. and that commeth to 555. Then chere is 35. minates moze, and chat tom nech to 2 2. miles
mae. Then pus . 22. vnta. 5 55. and that maltech. 57. mvles, the
. biter bez nene London, and tye Meridian of Genice. Then
*
pair nuit ſee ke ham many miles wyll anſwer to one degree in the paralel of cenice, that commeth to 43. miles to a degrer. Then
multiply the degres ol longitude by the number ok miles in that
paralel, that is L5. times 3. and that commeth to 645 then the 36 minutes nme commeth bute neare 26. miles. Then put. 26. onto 645, and that maketh 671. ſu that it is. 671. miles krom Uenice vnto the Meridian of London. Then pur both theſe numbers together, that is to lay, the diſtaunce betweene the diau ol London and the Meridian of Cienice, in the paralell London, and the paralell of Uenice, the one beinge 577 myles, Au the other 671. miles: and chole 2. numbers being both toge⸗
1 1246. ben e number fn pour Eaſt and Melt line, € mein vnto 623. And now J doe conclude, that Uenice is if from London 623. miles. Then pou muſt multiplye the des gte of latitude into miles Go. myles to one degree, and the La⸗ titude of UAenice being o degrees ta the South parte ol London: rine Amultiply. 6. times. 60. and that cammech vnta 365, ent eee 47. miles: then | '260,then it e407 : * 2 e an Bb. it.. Tbis
—
>, Me ſeconde Boe
This peingnone,muttiptpe the mples ot longitude: in it felfe, 48 ¥ 623. times 623. aud that commeth vnto 388129, Then multy⸗ plye the latitude in it elle, chat is to lap. 407. times 40% and that commeth bata 165649. then adde oz put boch theſe numbers tos
gether, that is to ape, 388129. and 165649. and that maketh
553778. And now pou muſt ſeeke the (quate roote of both theſe ntie bers added together bp extracting ok rotes, tihatwilbe744.@ x
744 part, and that it is neare 6 patt of a myle. So J doe conclude
that che diſtaunce from Venice to Londen, by aright Ipnecuer —
the Sea and Lande, is 744. mples, and part of a mple : fo that the long itude and the latitude be truly taken.
And thus may pou doe by all other Townes end places tit ſtunte
vpon the face of the whole earth, whether that the viftaunre bee much op litle s fo that you map knowe the true longurde and the
true latitude, and ſo reſoꝛt to F length ef the paral ag as 4
‘forei is declared.
f The thirde Chapter 80 how for W us vuto saat quarter of the World any place doth flande from you, ~ ot 25 2 that is to ſaye, ly what poynte of the Compaffe, yoo . Rsowinge the true A e and 5 nue N 4 bed Gags tae
ont Sr 450 eee ou e oss N true longitude and e true latilude of
AY Quarter of the wozlde it 0 ſtand krom peustiat is ta lap, by lh
.
* 0 e i tae
sgt. Qeor* 411 877 *
any Towne vpan the face ol the ole earth. then pou may knom Sento what 6
43
a 7 is a poynt ofthe Compalle, ag this: Ike ae ae
aN 8 longitude, that is tu fap, one Mertdy⸗ Aan line ¢ hath anather latitude, that
155 is feats mee Deatees Heh * .
Tach feom pou a ae Akte begteed F that be
chat anp cb plates haue both one
of the treaſure for tratiailors. 7 And allo ikchat it hach your longitude, and haue the South pole, a / North o: daue the Poꝛtzon, then in lpke manner the place is due South South. from pon. cc. And furthermoꝛe, ik ang two places haue all one la⸗ titude, and hach another longitude, being both in one paraiel, and ik that it haue moze degrees in longitude, then your towne hath, then that Citie, taume oꝛ place, is bate the Caſtwardes of vou. f Sf fetact degrees in laugitude, then pour Gowne hathz then it is Eater elk. eit, from your Citie, Towne, oꝛ place; as in the Chapter g: ing betoze is declared. It that it be moꝛe degrees in longitude then pour Cite, Towne, oʒ place hach, by. 18 o degrees, then that place is Veſt from pou, although boch the places haue one lati⸗ tude, that is to ſay, in one paralell. And then to knowe how many myies, vou mutt firſt nate the degrees ol longitude that it hath from the Peridian ok the Canary Jlande: and then rebate that A dut ol. 360. and then adde oꝛ put vnto that number of the longi⸗ tuide of pour owne place: and fo multiply the number of myles in that paralel/æ that ſhall ſhe w into vou the nũber of mples ; that the Citie, Toume, oʒ place is vnto the cMeſtwarde of your place, and che realon thereot is this, for that che circuniference of the earth is to goe from the Catt onto the Tleſt, is.360. degrees :and halke chat number is. do degrees. And then ik that itbe moꝛe dee: grees then it is Meñwardes from yau; and if that it be but iuſte 3 60. d greos 180 degrees, then it is oppoſpte oꝛ ryght ag ꝛinſt your place that is ihe Come is neither Catt nor MAeſt, noꝛ no. poynt of the compaſſe els if ba ok the that both the plates were bader the Equinoctiall, m els if that he one haue the Noꝛth pole, and che ather haue the South pale, both 2 of one altitude, oꝛ heyght aboue the Hoꝛizon. Hop then the one ſpould be Antipovies the one vnto the other, chat is to lap, the one erthat Antipas to gos konte vnto the foote ofthe other, che one ol the one fide ol dies are, that earch / and the other on the other ade of the whole earth e to haue „ the whole chieknes ol the earth betweene them. c. And further⸗ ; more fo tu Rhowe by what other poynt oꝛ wynde ol the Compafle foot that anp place dooch beare, then that is chus knowne: the tus taoumes oꝛ places to differ both in longitude and in latitude, then 2s in che Chaptet goiug beloze is verlarev, it is knowen, by this oꝛder folloung· I chat it Hane fewer degrres in longitude then
Bh. iii pour
o
veoꝛll vlate hath, and fewer degrees in latitude in lyke manner then it is acco ding vnto the degrees, and eſpecially vnto the num⸗
alſo in latitude, and both in lyke quantitie, that is to lay, in the ridpan ot the two places then that it is from che paralell of the
metquacter. furthermoze, ik that the diſtaunce in myles between the two pa⸗ ralelles be. 5 times the diſtance between the twa Meridian then that place is South and by Tevet And further mee it the diſtance in miles, between the twa paralelles ot᷑ ap place aſſignet, be two eimes q a halfefo many myles, that is to fay, ten = je diſtãce between the two Peridiana, thẽ that plate is South welt frõ pour
that place is Southwest « by South from pour place. And if that che diſtanee between che twa paralels; be but. 3. quarters of the nũber ol miles between the two Peridiãs, chẽ that place is South weſt e by (Cie kram pour place. c. And furthermoꝛe it that the
number ok miles between the two Meridians, chan that plate is between the two paralels of any place aſligned, be but the. . parte cekche nũber ok miles between the two Peridians, that is to ſap,
plate. cc. ag | And kurthermaze, if that any Cities, cones , oz places, bee
kkcwer degrees in latitude, the al thoſe places ſbalbe in the South ⸗ euaſt cozner, as al the other before reberſed, were in the Sauthwelt
|. Gate Beuth coꝛner, as thus: The