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A16518 A booke called the treasure for traueilers deuided into fiue bookes or partes, contayning very necessary matters, for all sortes of trauailers, eyther by sea or by lande, written by William Bourne. Bourne, William, d. 1583. 1578 (1578) STC 3432; ESTC S104686 168,398 248

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that multiplication there commeth .222 Then there is .42 minutes more and that .42 minutes conteineth neare .26 myles so that the whole summe of myles from London to Antwerpe by a right East line ouer the Sea and the land is .248 myles Now furthermore if that towne or place haue that Longitude that your towne hath and hath another Latitude that is to saye that it dooth stande due South or North from you hauing all one Meridian lyne then must you looke howe manye degrees the other towne is Southe or Northe from your towne and then you knowyng that you maye knowe the distaunce to any Towne or place that standeth vnderneath your Meridian allowyng .60 myles for euery degree of Latitude as for ensample thus by the Citie of London and Roane in Normandie which hath in manner all one Longitude as the Citie of London hath .19 degrees .54 minutes of Longitude as afore is declared 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 that the latitude of London is .51 degrees and .32 minutes the Latitude of Roane is 49. degrees and .10 minutes so that Roane standeth .2 degrees .22 minutes to the Southwardes of the Citie of London And then multiplie .2 tymes .60 which maketh .120 and then there is .22 minutes more then that commeth to .22 myles so that .120 myles and .22 myles maketh in al .142 myles the distance betweene the Citie of London and Roane ●uer the sea land by a ryght lyne betweene them Now furthermore if so be that any towne or countrie hath an other longitude and an other latitude then yours hath then to knewe the distance betweene thē you must woorke thus First looke what latitude that your towne hath and then looke the latitude of the other towne that you woulde knowe the distance vnto then that being knowne you must seeke the longitude of the other towne howe muche it doeth differ from yours then looke howe many myles of the latitude wyl answeare to one degree then that number beyng multiplied the number of degrees by the myles and that sheweth howe many myles that it is from the Meridian of your towne to the Meridian of the other towne Then the other towne hath an other latitude then yours hath and if the towne bee to the Northwardes of your towne then the degrees of that paralell shall bee shorter then the degrees of your paralell and if the latitude of the towne bee to the South partes of your towne then shal the degrees of the parallel be longer then the degrees of the parallel of your towne Then in like manner as you haue multiplied the number of myles by the degrees of your towne so in like manner you shall seeke howe many myles wyll annsweare vnto one degree in that parallel Then multiplye the degrees by the myles and it wyll shewe vnto you the distaunce of myles from the other towne too the Meridian of your towne then the distance of the Southermost towne from the Meridian is moe myles then the other towne is Therefore you shal adde or pull both your nūbers together and then take halfe that for your East and West line then shall you multyply the number of myles in it selfe and keepe it in memorye then you knowing the number of myles of Latitude that the one Towne doth differ from the other then in lyke maner you shall multyply that number in it selfe then the multiplycation of both the numbers you shall adde together then you shall by extraction of Rootes seeke the square Roote ● that being knowne shall be the iust distaunce by that poynte or right Lyne ouer the Sea and the Lande from the one Towne to the other as for ensample thus By the Citie of London and the Citie of Hierusalem nowe being destroyed whiche was somtime the most famous Citie on earth and the Latitude of London as afore is declared beinge 51. degrees 32. minutes and euery degree of our paralell is 37. myles and the Latitude of Hierusalem is 31. degrees and 22. minutes then for euery degree in that paralell shall be 51. myles Then I knowing the Longtitude of the Citie of London for to bee 19. degrees and 54. minutes then I doe seeke the Langtitude of Hierusalem and I finde it for to bee 65. degrees and 45. mynutes Then I doo pull away 19 degrees 54. minutes out of 65. degrees 45. minutes and then remayneth 45. degrees 51. mynutes and so many degrees and minutes is Hierusalem Easte from the Citie of London Then first I doe multiply the miles in a degree of our paralell as this beinge 45. degrees and 37. miles to one degree Therefore I doe multiply the one by the other that is 45. times 37. and of that multiplycation commeth 1665. then 51. minutes more and that commeth neare vnto 32. miles then put 32. vnto 1665. that maketh 1697. and so manye miles it is from the Citie of London vnto the Meridian lyne of Hierusalem And now you must multiplye the number of degrees into myles for the latitude of Hierusalem whiche is 51. myles to one degree in that paralel and the degrees be in number 45. degrees 51. minutes Therfore I doe multyplye 45. by 51. and of that multyplycation there commeth 2295. Then there is 51. minutes more and that commeth neare vnto 44. miles and put 44. vnto 2295. and that maketh 2339. and so manye myles it is betweene Hierusalem and the Meridian lyne of the Citie of London Then this being done I doe adde both the numbers together that is to say the number of miles in the paralel of London betweene both the Meridians the one being .1697 and the other for to be 2339. then addynge both these numbers together maketh 4036. then take halfe that number for your true East and West lyne whiche wyll be 2018. myles then I doe seeke the diuersitie beeweene the 2. paralels as thus The pole artick of London is raysed 51. degrees and 32. mynutes and the pole artick of Hierusalem is raysed 31. degrees and 22. minutes Then I doe substract 31. degrees 22. mynutes out of 51. degrees 32. minutes the remainder is 20. degrees 10. minutes then I doe multiplye the number of degrees by myles 60. miles to one degree because that they bee degrees of Latitude thus .20 times 60. of that multiplication commeth .1200 and then there is 10. mynutes more and those 10. minutes commeth to 10. miles so that the whole summe of myles from the paralel of London to the paralel of Hierusalem is 1210. myles And now for to fynde the true distance ouer the Sea and the land by a poynt or lyne you must doe thus by the exctactions of rootes Fyrst you must multiplye the Longitude and the number of myles in it selfe as it is afore rehearsed the halfe of the miles of the distaunce betweene the 2.
beyonde the Equinoctiall 7224. myles from London and the moone chaungeth rather then at London by .5 howres .0 minutes and the longest Summer daye with them is our shortest Winter daye for that the pole Antartick or south pole is aboue the Horizon and is .16 howres .36 minutes c. The great riuer of Plate the longitude 327. degrees the latitude is the South pole 35. degrees and is South Southwest 5685. myles from London and the Moone chaungeth rather then at London by .3 howres 32. minutes and their longest summer day is in our winter is 14. howres .30 mynuts long Cappe Crusos the Eastermost part of all America is cōmonly called the cost of Brasell the longitude 345. degrees the latitude 5. degrees of the south pole and is South Southwest 3792 myles frō London the Moone changeth rather then at Londō 2. houres 20. mi. the lōgest day is about .12 houres .30 minuts Cappe de planco the longitude .306 degrees the latitude 5. degrees is southwest and by West 4547. myles from Londō and the Moone changeth rather 4. howres .56 minutes and the longest daye is about 12. howres 20. minutes c. Cappe S. Marthae the lōgitude .284 degrees the latitude 12. degrees and is west southwest to the southwards 5103. myles from London and the Moone chaungeth rather by 60. howres 24. minutes and the longest daye is 12 howres 45. minutes Carthagena the longitude .282 degrees the latitude 10. degrees .15 minutes and is West Southwest and to the South 5316. myles from London the moone changeth rather by .6 howres 32. mynutes and the longest day is 12. howres .38 minutes Nomber de Deus the longitude 276. degrees the latitude 7. degrees and is West Southwest 5685. myles from London and the moone chaungeth rather by 6. howres 56. minutes and the longest daye is .12 howres 25. mynutes c. The great famous Citie of Mexico the principallest place in all America the longitude .238 degrees the latitude .21 degrees 30. minutes and is West and by south 6844. myles from London and the moone chaungeth rather then at London by 9. howres 28. minutes and the longest day is 13. howres 20. mynutes The riuer of Palme in Floryda the longitude 260. degrees the latitude 39. degrees .20 minutes and is West and to the Southwardes 5034. miles from London and the moone chaungeth rather then at London by 8. howres .0 minutes and the longest daye is 14. howres 45. minutes The Cape of Cerra Floryda the longitude .272 degrees the latitude 31. degrees and is West and by Southe .4935 myles from London and the moone chaungeth rather by 7. howres .12 minutes the longest daye is .14 howres .6 minutes c. Perru in America the longitude .290 degrees the latitude hath the South pole 5. degrees and is Southwest and by West .5528 myles from London and the moone chaungeth rather then at London 6. howres 0. minutes and their longest daye is but .12 howres .20 mynutes Pannama a Towne or Citie vppon the Sea Coaste of Mare de Sur or South sea the longitude .276 degrees the latitude .20 degrees 40. minutes and is Southwest and by West and to the Westwardes 5794 myles from London and the Moone chaungeth rather by 6. howres 56. minutes and the longest day is 12. howres 15. minutes Tumbes a Port in the Prouince of Peru vpon the cost of the South Sea the longitude 276. degrees the latitud 12. degrees of the Antartick pole and is Southwest and by West 6045. myles from Londō and the moone chaūgeth rather by 6 howres 56 minutes and the longest day is but .12 howres 15. minutes in our Winter Baculaius is on the Northeast ende of America commonlye called the new founde Lande the longitude of the midle of them is 320. degrees the latitude of the midle thereof is .54 degrees and is West and to the North partes .2200 myles from London the moone chaungeth rather by 3. howres .59 minutes and the longest daye is 16. howres 58. minutes The Lande of Labrador the longitude of the Eastermost Cape is 320 degrees the latitude thereof 63. degrees and the moone chaungeth rather by 3. howres 95. minutes and is West Northwest and to the Northwardes .2768 myles from London and the longest day is 20. howres 0. minutes longe And thus I doe ende the discription of the may●e or firme land of America c. The ninth Chapter sheweth the Longitude and the Latitude and the other thinges before hearsed of certayne of the most principalle Ilands of Europe within the midle earth Sea and also of the moste principalle Ilands of Asia and America ANd now shall folow the longitude and the latitude and the other thinges before rehearsed of Certayne of the most notablest Ilands of all Asia and America and also of Europe and fyrst of certayne of the most principall Ilands in the midle earth Sea And fyrst the Iland of Cicilia being the principallest Iland in all that Seas the midle therof hath longitude 37. degrees the latitude 36. degrees and is Southeast and by South 1178. miles from London and the Moone chaungeth later by 1. howre .8 minutes and their longest daye is 14. howres .30 minutes c. The Ilande of Corsica the myddle thereof hath longitude 31. degrees the latitude 40. degrees is Southeast and by South 829. myles from London and the moone chaungeth later by .44 minuts and their longest day is 14. houres 50. minutes c. The Ilande of Sardinia the myddle hath longitude 31. degrees the latitude 38. degrees and is South Southeast and to the Eastwardes .932 myles from London and the Moone chaungeth later by 44. minutes and their longest day is .14 houres 40. minutes long c. The Ilande of Maiorica the myddle hath longitude .17 degrees the latitude 38. degrees 30. mynutes and is South and a little to the Westwardes .792 myles from London and the Moone chaungeth rather by 12. minutes and the longest day is 14. houres 43. minutes c. The Ilande of Minorica the longitude .20 degrees the latitude 39. degrees and is due South .752 myles from London the Moone chaungeth at that tyme that it dooth at London and the longest daye is .14 houres .45 minutes c. The Ilande of Candie the longitude .55 degrees the latitude 35. degrees .20 minutes and is Southeast and by East and to the Eastwardes 1791. myles from London and the Moone chaungeth later then at London by 2. houres .20 minutes and the longest day is .14 houres .25 minutes c. The Ilands of Nigropant the longitude .54 degrees the latitude 38. degrees and is East South and to the Southwardes 1643. myles from London and the Moone chaungeth later by 2. houres .16 minutes and the longest day is .14 houres .40 minutes c. The Ilandes called Ciclades the myddle of
sheweth the natural cause of the ebbing and flowing of the sea and the ebbyng and flowing of hauens and riuers c. The seuenth chapter sheweth the cause of currantes and streames that runne in the sea in such places where it dooth not ebbe and flowe of currantes or streames in the sea there are three seueral sortes in the chapter it doth appeare c. The eight chapter sheweth the natural cause that the water in the Sea is salt c. The ninth chapter is as touching the cause of earthquakes The tenth chapter sheweth the reason howe America and all the Ilandes and newe founde landes and countries became peopled and of what posteriritie that they be come of c. FINIS Faultes escaped in printing The fyrst Booke fol. pa ly●e faultes Correction 3 1 20 set the situate 3 2 8 marking making 3 2 24 make marke 4 1 9 of that or that are 5 1 11 for lyne for the line 5 1 12 other side ●thelida 5 1 13 ridge ring 5 1 last the heigth 0 5 1 last measure of the that measure 7 1 12 and the and at the 8 2 13 standinges places 9 1 20 as is 10 2 8 lye by 12 1 11 there then 12 1 20 the line should the line y e shoulde 13 1 1 there though 14 2 3 thence there 14 2 23 12 into 12. 15 2 12 28 24 15 2 19 5 15 16 1 23 lacke looke 17 1 1 doo mays 17 2 4 staffe transuastorie 18 2 many transytorie transuastorie 18 2 many ringes wynges 19 1 many transytorie transuastorie 20 1 32 that their 22 2 16 part put 27 2 22 by too 28 1 7 52 32 29 2 10 and halfe of 29 2 22 the chapter the .8 Chapter The second Booke fo pa. line faultes Correction 1 1 22 vnto and vnto 3 1 8 90 60 7 1 13 Southwest South Southwest 9 1 10 32. put put 10 1 11 30. degr 49. 50. degrees .12 9 2 20 ●ondon land 11 1 2 54 16 12 1 13 36 360 13 1 30 Eison More ●●on Nore 15 1 7 Cappe hyll Ape hyll 15 1 13 18 25 15 1 15 London London .10 mi. 15 1   the longest day the day .14 hours .35 mi.     15   15 1   minuts southeast minuts ●nd is Southeast     24 vnder the tropick of Cancer 16 1 25 0 19 1 11 East and South East by south 19 1 30 7 98 19 2 30 Maria in Aria 21 2 11 25 52 22 1 33 20 4 22 2 2 12 4 The thirde Booke fo pa line faultes Correction 3 1 28.29 that that that 3 2 12 of a boord of boord 5 1 2 be corner be from corner 5 1 3 22 32 7 1 4 leuel beuel 7 1 11 leuel beuel 14 2 9 with the within the 15 1 12 30 3. quarters 15 1 19 racking raking 15 1 32 whole holde 16 2 15 would haue haue 19 1 22 13. ynches 10. ynches The fourth Booke fol. pa. lin faultes Correction 3   24 as is 4 1 last targed karged 5 1 27 ma● may 7 1 30 with which 7 1 53 multiply by multiply that by 8 2 23 in the mould of mettall in the mould of wood   2 31 8 2 5 led raysed or highed 11 1 1 neare as needes 12 2 18 30. 36. 12 2 32 waight the waight that the 12 1 23 one kind of one kynde 14 2 6 by the proportiō o● the by proportiō the 17 1 19 hang chaunge 18 1 22 h●e● hee●d 18 1 3 to hold to heeld 19 1 18 collect calke 19 1 ● in yenough 19 1 24 carying carenyng 19 2 30 cartienes Cap●tynes The fyfth Booke fol. pa. lin faultes Correction 5 2 6 mould mouth 6 1 2 so assynges suff●ng●s 8 1 8 suites sortes 8 2 5 su●f●●nges suff●nges 8 2 22 sea it sea as it 9 1 3 Ireland England 9 2 4 sou●●inges suffinges 9 2 19 rounded couered 11 1 15 in at 13 1 6 beaten le●ten 15 1 12 wast West 6 2 3 meayne mayne 11 1 30 tra●t attract 11   26 hygher hygh or ¶ Imprinted at London for Thomas Woodcocke dwelling in Paules Churchyarde at the sygne of the blacke Beare 1578. The fyrst booke The seconde booke The thirde booke The fourth booke The fyfth booke Geometric perspectiue Cosmographia Geometric general Staticke Naturall Philosophie Discouragement Bookes are written to the intent to teach the vnlearned No person is to be disliked that doth his good wyll to doe good Persons that are to be dislyked Abuses of Englande Magical Inchauntment is a great dishonoring of God What maner of christian is he that desyreth to be familiar with the diuell The vertuousnesse of the Queenes maiestie is our preseruation The abuses of al degrees Couetousnes is called good husbandrie Pride is clenlinesse swearing lustinesse drunkennesse good fellowshyppe Whoredome friendship 〈◊〉 a tricke of youth The first cause that man is borne for is to serue God The seconde cause that man is borne is to serue his countrey Thirdly man is borne to labour to lyue The causes of al degrees The fyrst cause The second cause Good members in a cōmon weale What maner of persons are the meetest to be Trauailers What a Trauailer should consider of What persons are of valure in the common weale A Circle A Centre A Circumference A Diametre A Foote A Yarde A pase Geometrical A simple stop of yarde A rase is two stepp●s 12. pases is a score that is 20. yardes A myle is a 1000. pases that is .5000 foote or 1666. yardes and 3. A Rod is .16 foote .2 of land measure and 18. foote is a Rod of woode measure .6 foote is a fadome and .833 fadome is a myle The ma●●ng of the Quadrant with the Skal The vse of the degrees What to obserue in taking of height with the Skall Vpright shadow at on station Ensample Ensamples of two fashions or standinges Ensample o● contrary shadow Ens●mple in the taking of the poynt of a height How to know distance by the shadowe An ensample To know how much the one Towre is higher or lower than another Ensamples To know how much any Tower is lower then that you be on Ensampl● ▪ To knowe the height of a hill To know the length of the Hipothenusall Lyne by the extracting of the roote To knowe the widenesse of waters An ensample To knowe the length of the slope lyne by the extract of the Roote To know howe much any place is higher or lower then the placeth it you are on whether that it be on Towre Steeple ●l Clyffe of valley c. An ensample To know howe much any place is hygher or lower by degrees An ensample of shyps on the water An ensample An ensample of shyps on the water To know whether my shyp be higher or lower of boord then another and whether the one dooth ouertop the other and howe To know howe much one house ship towre or hyl is higher then the other The
beginneth the second booke shewing by longitude and by latitude the dystance vnto any Towne or Citie or place vpon the face of the earth keping one poynt or winde ouer the Sea and LANDE although that it be not the very nearest way for the very nearest way ouer the Sea and Land can not be by one poynt of the Compasse except it be vpon the Meridian lyne that is due South or due North from you or being vnder the Equinoctial to be due East or West But if it be in any other place from vnder the Equinoctiall although it be due East or West both the places to be vnder one Paralell yet in the going due East and West is not the nearest way ouer the Sea and Land but the next way ouer the Sea and Lande is by diuers wyndes or poyntes of the compasse and the further frō the Equinoctial to eyther of the two poles the greater chaunging of the poyntes of the compasse For the next way ouer the Sea and the Land vnto any place is to goe by the great circle which is equall vnto the Equinoctiall or the Meridian circle which will not be according vnto any one poynt of the compasse but vnto dyuers as for proofe thereof you shall haue this for an ensample thus that in the latitude of .60 degrees that there were two Townes or places in that paralell the one being opposite or right against the other that is .180 degrees and a degree in that paralel doth containe .30 myles And nowe to goe iust East or West in that paralel to come vnto the place assigned it is .5400 myles as for proofe therof multiply .180 tymes .30 but that is not the next way vnto the place assygned but the next way is to goe by the Merydian lyne that is to say to goe due North vntill you do come ryght vnder the pole and then to goe by that Merydian due South tyll you haue that latitude agayne and then it is but .3600 myles as you may knowe by playne multiplycation as it is from the latitude of .90 degrees vnto the pole to go due North .30 degrees and from the pole Southward agayne other .30 degrees that is in all .60 degrees and then to multyply .60 tymes .60 it sheweth the true dystance which is but .3600 myles And to goe by the paralell lyne that is due East or West then it is .5400 myles that is halfe so much more as by playne proofe you may know But if the two places be both vnderneth one paralel be shorter thē 180. degrees asūder thē it requireth to go by diuers points of the compasse and not by the Meridian according vnto the passing of the great circle which doth conteine in circumference 21600. myles which is the greatest compasse of the earth and not according vnto moe paralels then one which is the Equinoctial nether vnto no one poynt of the compasse for any poynt of the Compasse will bring you vnto the poles of the worlde or verye neare excepte those that be pararel which is East or West as all ryght lynes drawe being extended exceptynge lynes paralell will Crosse the other in the ende so all the poyntes of the Compasse doe winde vntyl they doe come vnto the poles or very neare the poles of the world as they be all Hilicall or Spherall lynes Wherefore there is no one poynt or wynde that can be prescribed to be the next way by that poynt vnto any place assygned but onely the Meridyan lyne or lynes and to goe East and West then to be vnder the Equinoctiall for the nexte way els is by sundry poyntes of the compasse c. Wherefore I omitte to say any more thereof but onely to shew vnto you how for to know the dystance vnto any Towne or place situated vpon the lace of the whole earth by any one assygned poynte of the compasse then for to knowe the true distaunce ouer the Sea and the lande And I doo shewe it thys waye for two causes the first is this for that it is not possible to passe the next way by the meanes of the frozen Zone Wherfore it is supposed that it is not nauigable in those Seas neyther passageable by lande in those Countreys and the seconde cause is this as before is declared in the goyng the next waye it dooth require to goe by sundry poyntes of the compasse which woulde be but a confused matter for the most part of those persons that doo desire to knowe the distaunce vnto any place assigned neyther shall he knowe so readily which way it standeth or beareth from him And furthermore in the knowing the distaunce vnto any place assigned and by what poynt of the compasse it beareth this is to be considered that the Longitude dooth begin at the Meridian of the Cannary Iland and so to follow vnto the Eastwardes and so ending at .360 againe at the Cannary Ilandes as I doo shewe in my booke called the Regiment for the Sea The second Chapter sheweth vnto you howe you may knowe the distaunce vnto any Towne situate vppon the face of the whole earth so that you do● knowe the true Longitude and the true Latitude of them NOw furthermore if that you doo know the Longitude and the Latitude of any towne or townes situate vppon the earth you may know the distaunce vnto them as before is declared as thus If that the towne be iust East or West from you that is to say that your towne or place is vnder the Paralel that the other towne is that is to say that the Pole artike of that towne or place is so manye degrees aboue the Horizon as your towne is both in degrees and minutes then shall you seeke how many degrees of Longitude the other towne dooth differ frō yours then you shall seeke how many myles that one degree shal answere vnto it in that paralel and then you shall multiplie the one by the other that is to say the degrees by the myles and that summe which commeth of that multiplication shal be the distance betweene the two townes as for ensample thus by the Citie of London Answerpe in Brabant which differeth but .4 minutes in Latitude for at London the Pole is raised .51 degrees .32 minutes and at the Citie of Antwerpe the Pole is raised .51 degrees .28 minutes therefore we be both vnder one paralel Now the Longitude of London is from the Cannarie Ilandes .19 degrees and .54 minutes and Antwerpes Longitude is .26 degrees .36 minutes so that Antwerpe standeth East from London .6 degrees .42 minutes Now must I know how many miles a degree conteineth in that paralel and of that I doo make mention in my booke called The Regiment for the Sea in the .16 Chapter and that I doo finde to be .37 myles to one degree Thē I multiplie .6 times .37 because that it is .6 degrees .37 myles to one degree and of