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A19376 The arte of nauigation conteyning a compendious description of the sphere, with the making of certayne instruments and rules for nauigations, and exemplifyed by many demonstrations. Written by Martin Cortes Spanyarde. Englished out of Spanishe by Richard Eden, and now newly corrected and amended in diuers places.; Breve compendio de la sphera y de la arte de navegar. English Cortés, Martín, 1532-1589.; Eden, Richard, 1521?-1576. 1589 (1589) STC 5802; ESTC S111167 116,085 174

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sense as Beastes other vnderstanding as Man who in holy Scripture is called all Creatures according to the sayi●g of Christ to his Disciples where he sayth Goe and preache the Gospell to all Creatures And therefore not without good cause was Man called of the Greeke Philosophers Microcosmos that is the lesse World In the which we contemplate things of no lesse admiration then in the great World The similitude betweene them both is that euen as the great world and the whole Globe or Sphere thereof is mooued by the voluntarie motion of an intellectiue substaunce or an Angell euen so is this For as Aristotle wryteth What so euer is mooued is mooued by vertue of an other As Man is mooued by the internall or inward fourme that is within him that is to say by the intellectiue soule that is proper vnto him In lyke maner in the great worlde are found dyuers mooueable thyngs All which are reduced to one immoueable moouer So in man are found many thyngs mooued by diuers motions which are all referred to his intellectiue soule The great worlde conteyneth the creatures within it selfe and consequently is all really as hauing nothing without it Euen so man by knowledge is all and knoweth all things and nothing naturally is ●id from him or vnknowen to him Agayne in this lesse humane world are two motions Intellectiue and Sensu●●● 〈…〉 the great world hath two locall mot●ons the one wherewith the fyrst mooueable is mooued and draweth with it all the other Spheres from the East to the West and is called Rationall moouing The second is the moouing of the other Spheres from the Weast into the East and is called Irrationall moouing But now leauing to speake of the lesse world we will proceede to speake further of the great ¶ The seconde Chapter of the definition of the worlde THE world as sayth Isodorus is Heauen and Earth and the other woorks of God that are conteyned therein It is compounded of things visible and yet vnsearchable Moses and Saint Iohn the Euangelist witnesse that it was made by God The Philosophers called it M●ndus a mouendo because it is in continuall moouing and neuer in rest The Greekes called it Cosmos which signifieth Fayre or Beautifull and so named it because of the marueilous ornament thereof and diuersitie of Elements with the resplendence or shining of the Sunne Moone and Starres And doubtlesse nothing may be seene with the corporall eyes of man more beaut●full then it is In so much that the diuine Philosopher Plato affyrmed that eyes were geuen to men to beholde the beautie thereof and to take pleasure in the contemplation of the heauenly bodyes and roundnesse of the world which also for the roundnesse thereof is called Spheri●all because that Sphera in the Greeke tongue signifieth a round body The thyrd Chapter of the definition of the Sphere THeodosius sayth that the Sphere is a whole and corporall figure vnder one superficial in the middest whereof is a poynt or pricke from the which all right lines drawne directly to the circumference are equall This poyut or pricke is called the center of the Sphere according to Euclide it is the passage of the circumference of h●lfe a circle which is turned round about his Diameter that is fixed vntill it returne to his owne proper place againe as where it was at the fyrst By the center of the Sphere passeth a right lyne and thextremities or endes thereof touch in the circumference And this lyne imagined is called the Axis or Exeltree of the Sphere and the endes thereof are called the Pales Uppon this Axis is the Sphere of the world mooued The fourth Chapter of the diuision of the world IT is to be presupposed that there is ● difference betweene Element and Elementate and the fyfte being cal●ed Quinta Essentia The Quint essence or fyfte substance is a body of it selfe differing from all Elements and things Elemental aswell in matter as in fourme and no lesse in nature and vertue and hauing in it selfe no contrarietie is certaynly without corruption And hereof com●eth it that the Philosophers called the heauens and heauenly bodyes the fyfth substaunce or fyfth essence by reason of the inco●ruptibilitie thereof Element is that whereof any thing is co●●ounded It is the fyrst of compositions and of it self● is not compounded W●ereby it foloweth that neyther the earth the ayre the water nor the fyre that are neare vnto vs or about ●s are pure and simple Elements For these Elements do sometimes mingle themselues one with another and especially where they are neare togeather and touche one another Of these elements euery part is named by the name of the whole As euery part of fyre is called fyre and euery part of earth is called earth and so of the other They are called simple bodyes in respecte of other compound and mixt bodyes They are diuisible into partes of diuers fourmes and of the commixtion of them are made and engendred diuers things of sundry kyndes These foure that is to meane Earth Ayre Water and Fyre although they are named simple but in respecte as aforesayde yet are they the Elements that is to say beginnings and principles of all other compoundes and mixtes A pure Element can not be seene forasmuch as that that is pure lacketh colour and that that hath no colour is not visible The Elements as sayth Isodorus were diuided by the hand of God The imperiall Heauen was replenished with Angelles the ayre with byrdes the sea with fyshes and the land with men and other beastes Elementate is euery body compounded of the foure Elements Not that they are Elements formally but vertually in myxt bodies This knowen we wyll shewe how the world is diuided into two regions Celestiall and Elementall The region Elementall which is continually subiect to alterations is diuided into foure Elements which are Earth Water Ayre and Fyre These El●ments the Greekes call Yctogia for the communion and concord that they haue be●weene themselues The heauenly or etheriall region called Quinta Essentia compasseth and conteineth the Elementall worlde within it The fyfth Chapter of the number order and propertie of the Elements and Heauens THE Earth after the Philosopher is a pricke or poynt in the middest called the center to the which they assigne the lowest place Next vnto the earth and about it the Water occupyeth the second place and the Ayre the thyrd The Fyre is higher then any of the other elements And it is to vnderstand that the water hath two superficials One which is called concaue or halow● the other conuex or embowing You may compare the inward part of the concaue to a dyshe or a bolle whose outward part is called conuex As touching the concaue the water compasseth about the earth leauing discouered that part that serueth for the
of the second part THe course of the Sunne in the Zodiacke Fol. xxii The true place of the Sunne in the Zodiacke Fol. xxiii The declination of the Sunne Fol. xxv The entraunce of the Sunne in the xii signes and of the Equinoctials and Solstitials which deuide the foure times of the yeere Fol. xxvii Of the Moone and her motions and properties Fol. xxix The coniunctions and oppositions of the Sunne and the Moone Fol. xxx The declaration and vse of an instrument by the which is found the place and declination of the Sunne with the dayes and place of the Moone Fol. xxxi The Eclipses of the Moone and the Sunne Fol. xxxiii Of tyme and the definition thereof Fol. xxxv Of the yeere and the diuers beginnings and reckonings or computations had thereof in olde tyme. Fol. xxxvi Of the moneth and of his differences Fol. xxxvii Of the weeke Fol. xxxix Of the day and night Fol. eod Of houres Fol. xl The making vse of an vniuersall Dyal for the day Fol. xli Of certain perticuler Dials Mural Horizontal Fol. xliii The composition and vse of an instrument for the houres of the night Fol. xlv The time of the tides or rising falling of the sea Fol. xlviii Of certayne signes which prognosticate tempests or fayre weather Fol. l. Of the bright shining exhalations that appere in tēpests which the Mariners call Santelmo or Corpus sancti Fol. li. The Contentes of the third part THe number order and names of the windes Fol. liiii The composition of Cardes for the Sea Fol. lvi The vertue and propertie of the Lodestone called in Latin Magnes and in Spanish Piedrayman Fol. lxii The making of the Mariners cōpasse for Nauiga Fol. lxiii The effect and propertie that the compasse hath to Northeasting or Northwesting whereby is knowen the variation of the compasse Fol. lxiiii The introductiō principles of the art of Nauiga Fol. lxvii The making and vse of the Astrolabie with the which the Ma●iners take the altitudes of the Sunne Fol. lxviii The definition of the altitudes an● how the altitudes of the Pole may well be knowen by the Meridian altitude and de●lination of the Sunne Fol. lxxi The making of the crosse staffe wherwith the Mariners take the altitude of the North starre Fol. lxxii How the altitude of the Pole is knowen by the altitude of the North starre Fol. lxxiii The composition vse of an Instrumēt by the which without obseruing the South Sunne or midday is knowen the altitude of the Pole and the houre that is Fol. lxxv Of the leagues that are run for a degree according vnto diuers courses Fol. lxxviii Howe to set or make a pricke in the carde of Nauigation Fol. lxxx Of the making and vse of an Instrument generall to knowe the houres and quantities of the day and what wind the Sunne ryseth and falleth Fol. eod FINIS Imprinted at London by Abell Ieffes for Richard VVatkins and are to be sould at his shop Cum Priuilegio The fyrst inuentours of Artes. Isis. Ceres The Cicilians Saturne gaue Lawes to the Latines Tillage of the ground The g●lden worl●e and ●aigne of Sa●urn● The woort●y factes of Charles the fy●th Sicilia Spayn● reformed The triumphs and victo●ies of Charles the fy●th Mules horses and horsemen Belleropho● Wearing of weapons and armour Frauncis the French king taken prisoner The Christian faith ●nlarged The sumptuous buyldings and riches of Spayne The Indies nauies of gold and syluer New landes and Ilandes discouered Pe●u The straights of Maga●●anes Rio de la Plata The fortunate Ilande or Canaries Religion in the Indies The Spaniardes haue euer trauailed into f●r countries The antiqui●i● of Nauigation Argonanti Colchos The Arte of Nauigation Things parteyning to nauigation The lod●stone falsly called in English Adamant is in Latine called Magnes Charles the 5. greater then the h●roes of olde ●yme Vniuersall b●nefites Comparison with the antiques Plinie Nauigation● of old● tim● The perfections of artes at this day The rudeness● of the antiquie● Aug●rium The North Starre The voyage of Solomon to Tharsis and Ophir The first inuentours of ●●●igation Commodities difficulties of nauiga●i●● The igno●●nce of Pilot● The goue●●●●● Three differences of creatures Corporall ●●●●tures Man is called all creatures● and the lesse world Man compared to the wo●ld All that moo●eth is mooued by an ot●er immo●eable The intellect●●e soule Man knoweth part of all things Two motions in man Primum mobile Rationall motion Irrationall motion What is the world Or Mundus a Munditi● That is clearn●sse or fair●●nesse Eyes were geuen to men to behold the fa●renesse and beautie of th● world The roundn●● of the world Definition of the Sphere The center of ●●e Sphere The axis and Poles of the world Quinta Essentia Aristotle cal●eth it the fift ●lement The fift essence is incorruptible What is element The inferiour ●lements are not pure nor ●●mple The elemen●● are diuisible into partes The commi●●tion of elemen●s Pure simpl● elements ca● not be seene The diuisio● of elements VVhat is ●l●●mentate Diuision of the world into Celestiall and eleme●tall Quintae Essentia Th● orders of Eleme●ts Earth VVa●●● Ayre Fyre The four●● of the wat●r Th● Ocean S●● Psal. 107. Iob. 38. The will of God is the cause of 〈◊〉 Nature abhorreth emp●●●●s The earth is not p●●fec●ly rounde Diuision of the ayr● int● thre● Region● The hyghest ayre is incombus●ibl● The order of the heaue●● The Firmament The Pla●ets The Chri●●aline heauen The heaue● of water Psal. 148. Daniel 3. The moouing of the first mooueable Th● cold●esse of the Christalin●●●a●●n The heau●n of the fyrst moueable The hea●e● called Emperiu● is not mooued is the habitatio● of Angelles The ●●●ani●ie of Christ in ●he Emperiall heauen Three orders of angelles The ●●periall ●eauen pr●seru●th ●ll the 〈◊〉 he●ue●● Opinion that the earth mooueth Molus in loco The ●arth is immoou●able All heauie things enclin● to the center of the earth The earth is founded vppon his owne center Psal. 130. The roundnes of the earth The rysing of the Sunne The Eclipse of ●he Moone how the earth is round The ayre is actiu● and passiue and not perfectly round The fyr● is ●ound how the fyr● is mooued how the ayre is mooued The Moone Venus Mercuri The Sunne Mars The Starrie heauen o● fyrmament The Christaline heauen First moueable how the fi●st moueabl● draweth the other hea●●●s The right and crooked or obliqu● Spher● The x. circles of the Sph●re The Equinoctiall The equalitie of the day and nyght The fyrst moue●ble The Pole A●tyke The hor●e North Starre Pole Antar●ike The cross●●eer● vnto the Pole Antartike Zodiack Th● twelue signes of th● zodiacke how the Sun is cause of generation and corruption Deuision of the twelue Signes Deuision of the signes into degrees Deuision of the zodiacke by latitude The Eclip●ike lyne The moouing of the Sunne and the other Planets in the zodiacke The figures o● beasts and other things imagined in heauen besides
I saye that I am the fyrste that haue brought the Arte of Nauigation into a briefe compendiousnesse geuing infayleable principles and euident demonstrations describing the practise and speculation of the same geuing also true rules to Mariners and shewyng wayes to Pilottes by teachyng them the making and vse of Instrumentes to knowe and take the altitude of the Sunne to knowe the Tydes or ebbyng and flowing of the Sea how to order theyr Cardes and Compasses for Nauigations geuing them instructions of the course of the Sunne and motions of the Moone teachyng them furthermore the making of Dyalles both for the day and for the nyght so certayne that in all places they shall shewe the true houres without default and haue likewise declared the secret propertie of the Lode stone with the maner and cause of the Northeasting and Northwesting commonly called the variation of the compasse with also instruments thereunto belonging And that that which I shall say or doo be not accompted to be presumpteously done or spoken I acknowledge that whatsoeuer I haue well done or written it is from aboue by the helpe of the diuine grace and by the fauour and prosperous fortune of your Maiestie And thus shall they that now liue and likewise they that shall succeede vs see and perceiue how much more the world oweth and is behoulding to your Maiestie then were the auncient Egyptians to their Isis. She gaue them letters to reade but your Maiestie hath geuen rules and orders to sayle on the Seas The profite of Isis was onely for one Prouince But the commoditie that ensueth of your doings is vniuersall for all Prouinces and Nations and for all Seas aswell to go to places discouered as also to discouer Lands and Regions yet vnknowen If they of auncient time had reached that we haue obteyned the Indies had not now been to discouer neyther should it be esteemed a miracle vnto vs as at the tyme when Carthage florished that one Agnus went foorth from the Baye of Cadiz and sayled to the end of Arabie Neyther would Cornelius Nepos haue written it for so famous a thing that a certayne man flying from King Latinus came from the gulfe of Arabie Whereby it is manifest that aswell Nauigation as other Artes doth from day to day increase and by litle and litle is come to perfection For in those daies they had neyther compasse nor carde of sayling whereby to gouerne them selues They lacked the consideration of the Starres vntil the Phenitians found the knowledge thereof and were the fyrst tha● vnderstoode that to such as should trauayle by sea i● should be necessarie to lift vp their eyes to heauen and consider the motions thereof They that sayled to the Iland of Tabrobana whih in old time was called Antitono caryed for their voyages lyuing byrds And when they thought good let certayne of them flee ●nd by the flyght of their wings● directed the h●lme and sayles of their Ships They sayled onely three monethes in the yeer● To them therefore it was necessarie to obserue 〈…〉 the tyme vntill they found it to s●rue with a for● wynde They k●ew●●o● how 〈◊〉 h●lp● themselues with the bowe ly●e or syde winde neyther sawe they the North Starre or sought it or had a●y knowledge thereof A●d I beleeue veryly that this was the cause of so long a voyage which the Shyppes of Solomon made saylyng to Tharsis a●d Ophir wherein they spent three ye●res although in deede that was no short voyage which they mad●● compassyng about ●●d●a and ma●y other Prouinces And whereas before I sayd that Nauigat●on by litle and litle came to perfection I fynd by auncient hystories that Tipho fyrst found the Gouernale or Rudder Dedalus the Maste and Shrowdes and Icarus the Sayles the Thirreni found the vse of the A●ker of one graspe or stooke and Palaminus brought it to perfection adding the other And thus may it manifestly appeare that in these prosperous and fortunate dayes of your Maiestie it hath pleased God to bring the knowledge of Nauigation to perfection with this my breefe discourse as touching the same aswell profitable and necessarie for them that trauayle by land as by Sea What can be a better or more charitable deede then to bring them into the way that wander What can be more difficult then to guide a shyp engoulfed where only water and heauen maybe seene One of the foure most difficult things whereof Solomon maketh mention in his Prouerbes is the voyage of a Shyp by the Sea The which Galfrede expounding sayth that in humane things none is more fearefull or more daungerous then to aduenture life in a thinne and weake peece of wood or for a man to comm●t himselfe to the rage of furious windes among the tempestes of the Sea and there to hazard that be loueth so well O how much more should the same seeme difficult to Solomon if at these dayes he should see that fewe or none of the Pilottes can scarsely reade and are scarsely of capacitie to learne And whereas in the fyrst Chapter of this Booke I haue made mention that the gouernall or sterage ought to be com●itted to expert men and of good vnderstanding he should see that now adayes the ignora●●t presume to gouerne other which were neuer able to rule or gouerne themselues I most humbly desire your Maiestie to receiue in good part this my poore seruice which although it be litle yet being ded●cate vnto th● greatnesse of your regall person it shall be much more the● great The profite a●d commoditie thereof 〈◊〉 notorious and the b●nefite that thereby may be receyued is vniuersall If therefore when your Maiestie shall finde your selfe released from greater affaires it may please you to feede your eyes with these my trauailes you shall fynde therein many new delectable and witty things with also many profitable and certayne rules both to reade and vnderstand To conclude I eftsoones make humble petitions to your Emperiall Maiestie not so much to consider what I wryte as to respect the intent of my wrytyng and not the gift but the affection and good will that remayneth in mee to serue your Maiestie The firste parte of this woorke which entreateth of the composition of the world and of the vniuersall principles for the Arte of Nauigation ¶ The fyrst Chapter of the generall distinction of Creatures THE infinite GOD the beginning and cause of the whole vniuersall world created three orders of creatures differing in kinde that is to say Corporall as the Elements Spirituall as Angelles and compounded of these two as Man The corporall nature is diuided into bright and shining bodyes as the Starres or into darke and thicke bodyes as Earth and Me●●alles either into D●aphane or transparent bodyes as Ayre and Water Of these creatures as sayth Saint Gregorie some haue 〈◊〉 beeing as S●ones some lyue as Trees and other haue
of December And heere wyll I not omit to say how in those times at these foure dayes that is to meane in the two Solstitialles and two Equinoctialles were celebrated or dyd chaunce foure marueylous thynges in the worlde For in the spring Equinoctiall which was at the xxv of March the Sonne of GOD was inca●nate and afterwarde borne of the Uirgin Marie in the Solstitiall of Wynter whyche was at the xxv of December In the Equinoctiall of Autumne whiche was the xxvii of September was conceyued blessed Iohn Baptist the cryer and precursour of Christ and was borne in the sommer Solsticiall that was the xxiiii of Iune And this is the syxth Moneth whereof Saint Luke speaketh in the Gospell Whiche thyng also Iohn Chrysostome doth veryfie saying that S. Iohn was borne when the dayes beganne to decrease and our Lorde when they began to increase And it may certaynely seeme woorthie to be had in memorie that in the sayde Equinoctiall of the spring Christ suffered Adam was created and loste the estate of innocencye Abel was slayne Melchisedech offered bread and wyne Isahac by Abraham was brought to be sacrificed Iohn Baptist was beheaded at Macherunta Peter delyuered out of pryson Saint Iames beheaded by Herode the good Theefe enioyed Paradise and the bodyes of many Saintes rose wyth Chryste And who so further desyreth more precisely to knowe the entraunce of the Sunne into Aries and into the other principall signes shall in the thyrde parte of thys woorke in the eyght Chapter fynde rules whiche shall bryng hym to the knowledge thereof B●t ●o returne to our tyme I say that thys present yeere of 1545. the Sunne entreth into the fyrste degree of Aries at the tenth of Marche at foure of the clocke at after noone and into the fyrst degree of Taurus the nynth of Apryll 2. houres and 7. minutes and into Gemini the 11. of May 2. houres and syxe minutes into Cancer the 11. of Iune 14. houres 44. minutes into Leo the 13. of Iuly 3. houres 50. minutes into Virgo the 13. of August 9. houres 56. minutes into Libra the 13. of September 4. houres 4. miuutes into Scorpio the 13. of October 7. houres 13. minutes into Sagittarie the 12. of Nouember iust at noone into Capricorne the 11. of December 8. houres 16. minutes into Aquarius the 9. of Ianuarie 2. houres one minute into Pisces the 8. of Februarie 1. houre 30. minutes after midday that is to say from noone 1. houre 30. minutes And that we may in the yeeres to come knowe the day houre and minute in the whiche the Sunne entreth into euery signe we will followe this order Upon the dayes houres and minutes that the Sunne entreth into euery signe thys sayde yeere 1545. we must adde for euery yeere fyue houres and 49. minutes which with the 365. dayes which euery yeere conteyneth shal be the tyme in the whiche the Sunne accomplysheth his Reuolution And because that in the yeere of the Bisextile or Leape yeere is added to Februarie one day more to his 28. which he hath once in foure yeeres from 6. to 6. houres yf we shall take from the computation that whyche we haue geuen hym turning one day backward as shal be in the yeere 1548. and vppon that that remayneth shall returne in the yeere folowyng of 1549. to adde fyue ho●res 49. minutes and as much more euery other yeere folowing shal be a certayne rule for euer And it is to note that the degrees and minutes which wee haue touched before are properly for the Citie of Cadiz And yf we desyre to applye them for other Cities or places more Eastwarde then for euery xv degrees that they are distaunt from Cadiz in longitude we must adde one houre And yf for Cities or places more W●stward● in lyke maner for euery xv degrees we must take away one houre by reason of the course of the Sun by his rapte moouing from the East to the West For it is certayne that when with vs in Cadiz it is xii houres of the clocke t● them that are xv degrees Eastward from vs it is one of the clock and to them that are from vs xv degrees toward the West it is xi of the clocke Nowe that we haue Rules to knowe the entraunce of the Sunne into the xii signes thereby may we also knowe his entraunce into the foure C●●dinall or principall signes whiche are they that determine and ende the Equinoctialles and Solstitialles whereby are caused the foure tymes of the yeere And forasmuch as the generall chaunge of tymes is by reason of the Sunne who by his comming neare warmeth by hys remayning dryeth with his departure cooleth and by his long tarying away causeth maystnesse we will shew the qualities of the principall windes elements regions humours and ages in one briefe Table and then consequently in an other will we describe the beginning middest and ende of the foure times of the yeere aswell in the monethes as in the heauenly signes The Table of the qualities of the Elementes Qualities Hot dry Hot moyst Cold moyst Cold dry Partes of the yere Sommer Spryng Winter Autumne Principall windes East South West North. Elements Fyre Ayre Water Earth Regions East South West North. 4. Humours Choler Blood Flegme Melancholy 4. Ages Youth Mans state Aged Age. The Table of the foure tymes of the yeere Tymes Beginning Myddest Ende Spryng Marche Aries Apryl Taurus May. Gemini Som●er Iune Cancer Iuly Leo. August Virgo Autumne Septem● Libra Octob. Scorpio Nouemb. Sagit Wynter Decemb. Capricor Ianua Aquar Februa Pisces The v. Chapter of the Moone and of her motions and properties IN the Chapters past of this seconde parte wee haue entreated of the Sunne and of his motions and effects as the most noble and principall luminarie In this present Chapter we wyll entreate of the Moone which is the second luminarie although in the order of the heauens she is the first and nearest vnto vs of all other Planets or Starres The M●one therefore is a round body of heauenly substaunce solide and darke in respecte of the Sunne hauing no proper light of his owne but is apt to receyue light She is mooued from the West into the East according to the order of the signes euery day 13. degrees litle more or lesse and somewhat more then 10. minutes by the proper motion of the heauen or sphere vpon the Ares and Poles of the Zodia●ke I sayd more or lesse because that ouer and beside the moouing of her deferent or circle which is moued euery day the aforesayd 13. degrees and 10. minutes almost 11. she hath an Eclipse where the Moone is fixed at the motion whereof sometimes she is moued more sw●ftly and sometimes more slowly Neuerthelesse according to her selfe motion she maketh her course in 27. dayes and almost 8. houres and hauing no light of her owne she is lyghtened of the Sunne as manifestly appeareth
the day or day spryng should equally and at one time appeare to them in the West as to them in the East But we see the contrarie that it appeareth fyrst to them that dwell in the East and afterward to them in the West This is prooued by the Eclipse of the Moone which beginning at one instant they of Hierusalem see it begin at foure a clocke of the night and we of Andalusie in Spayne at one a clocke of the night It foloweth hereby that to them it nighteneth three houres sooner then vnto vs in Spayne and this is caused by the roundnesse of the earth But heere some may mooue a doubte saying that on the earth we may see many Mountaynes and consequently many great Uallyes and P●aynes with many diuersities of sundrye other deepe and vnequall places by reason whereof the earth can not truely be called rounde To this I say that in two manners the earth is called and vnderstoode to be rounde As after one manner speakyng precisely it is called rounde as a Ci●cle or a Sphere which we call rounde because that all ryght lines drawen from the center thereof to the circumference are equall The other roundnesse is consydered without this precisenesse and is suche as not by all his partes is equally distant from his myddest or center but hath some partes hygher and some lower yet not in such quantitie as may destroy the roundnesse of the whole As yf in a Bowle there we●e certayne clyftes or holes it should not thereby leaue to be round although not perfectly or precisely rounde And for this cause sayth Auerrois that although both the heauenly bodyes and the Elements are of round fourme yet differ they in this that the heauenly Spheres haue perfect roundnesse and the Eleme●ts not As the earth by reason of his Mountaynes and Uales the Sea by his encreasing and decreasing the Ayre also for his nearenesse to the fyre and by his contrarietie doth sometime doo and so●etime suffer that is to say is sometime actiue and sometyme passiue So that folowing the one it fleeth the other by reason whereof it also lacketh perfect roundnesse But the fyre for as muche as it is neare to the concaue of the circle of the Moone which is Sphericall may therefore be called Sphericall or rounde The viij Chapter of the motion of the Heauens and Elementes IT is not to be forgotten that all the Elementes are wholy mooueable by locall motion except the earth The water is mooued by the motion of the Moone or tossed by the Wyndes The fyre as sayth Aristotle is mooued circulerly by the motion of the day and is drawen of the circles● that embrace it or compasse it about as is manyfest by the Cometes or blazing Starres and other fyerie exhalations conteyned and engendred in it Which beeyng caryed with thys motion conclude that the fyre mooueth in lyke maner And with thys motion is the superiour parte of the ayre violently caryed about as the other impressions therein doo shewe The inferiour part is mooued by dyuers motions that is to meane laterally as by experience we see when the wyndes blowe The Moone with her Heauen or Sphere by her proper motion geueth her turne from the West to the East in xxvii dayes and vii houres with xv minutes Venus Mercuri and the Sunne in a yeere which is the space of three hundred threescore and fyue dayes with fyue houres and fourtie and niene minutes Mars in two yeeres Iupiter in twelue yeeres Saturne in xxx yeeres The eyght heauen which is the Fyrmament or Starrie Heauen by his owne proper motion is mooued by the nienth Heauen vpon the beginning of Aries and Libra and vpon these two poyntes accomplysheth hys Reuolution in seuen thousand yeeres This motion is called Motus trepidationis that is to say the tremblyng motion or motion of accesse and recesse The nienth heauen endeth his motion from the West to the East in fourtie and niene thousand yéeres And by this motion moueth the eight heauen T●e tenth heauen called Primum mobile is mooued from the East to the West and in twentie and foure houres whiche is a naturall day perfourmeth one reuolution and with the myghtye force and swyftnesse of his motio● caryeth wyth hym all the other inferior heauens and maketh them to geue the same turne in twentie and foure houres where as neuerthelesse they ceasse not in the meane tyme to keépe the course of theyr owne proper motion As for example yf an Ant or Pismi●e sho●ld goe about the wheéle of a Myll contrary to the moouing of the whéele before the Ant in goyng styll forward should come agayne to the poynt from whenee she fyrst departed which is once about or one turne the wheéle should in that space make many turnes The ix Chapter of the diuision of the Sphere into formall partes THE Sphere of the worlde is diuided in two manners that is to say by substaunce and by accident By substaunce into tenne Spheres as we haue sayde By accident into a right Sphere and oblique or crooked Sphere They haue the ryght Sphere that dwell vnder the Equinoctiall lyne and is called ryght because to them the P●les are equally in the H●rizon as appeareth by thys Figure folowing The Sphere is compounded of tenne circles imagined And as sayth Iohn de sacro bosco in his booke of the Sphere syxe of them are greater and foure lesse The greater Circle is that which deuideth the Sphere into two equall partes and hath his center with the center of it These are the Equinoctiall the Zodiacke the two Coluri the Horizon and the Meridian The lesse Circle is that that deuideth the Sphere into two vnequall partes These are the two Tropykes and two Poler Circles The x. Chapter of the Equinoctiall Circle THE Equinoctiall is a Circle that deuideth the Sphere into two equall partes and is by euery parte equally distaunt from both the Poles It is one of the greate● Circles in the Sphere and is the greatest Circle of those which are described in the Sphere by the motion of Primum mobile or fyrst moueable This Circle for his equalitie and regularitie is more noble then the Zodiacke which we haue described in the eight● sphere and also then any of the other It is imag●ned to gyrd the world round about by East and West It is called Equinoctiall because this word Equinoctium signifyeth equalitie of nyghtes and dayes whereof the cause is that the Sunne comming to this Circle the Arke of the day is equall with the Arke of the night and then is the Equinoctiall It is also called the Zone or gyrdle of the fyrst mooueable For euen as a gyrdle doth gyrde a man by the myddest so doth this Circle gyrd in the middest betweene both the Poles vppon the whiche the fyrst moou●able is mooued One of these imagined on our pa●te
fyfth part of an houre before the full sea as also when it decreaseth which shal be the halfe ebbe threé houres and halfe the fyfth of one houre after the full sea ¶ The Table foloweth This increasing and decreasing of the Tydes is not euer in equall quantitie In the coniunctions and oppositions they increase and decrease much which the Mariners cal hygh spring tydes and the greatest increase of al they cal the hygh springes In the quarters of the Moone which are at the 7. and 22. of the Moone or neére there about they increase and decrease but litle which the Mariners cal nepe tydes low water dead waters or lowe flooddes The xix Chapter of certayne signes which prognosticate tempestes or fayre weather A Good Pilot or Mariner ought not to be ignorant of certayne signes or tokens which the naturall Philosophers describe of tempests For as they signifie vnto him so shall he leaue his porte or enter into it which yf he can not then ought he with patience and hope to tary the tyme that God hath appoynted for hym who mooueth and troubleth the Seas when it pleaseth hym and appeaseth them agayne at his pleasure Lesse hurteth and damageth the stroke whiche we seé comming or foreseé then that which hath stricked vs and taken vs carelesse When the Sunne ryseth fayre and cleare it signifyeth a fayre day but yf it shewe yealowe or deadly tempest is lyke to folowe Agayne yf at the rysing of the Sunne his beames shewe them selues contract or geathered togeather and short you shal haue rayne if the mistes or cloudes make a circle about the Sunne or Moone how much the greater that circle shal be so much greater shal be the tempest to come and yf ●here shal be two circles the tempest shall increase the more And yf it chaunce that at the rysyng of the Sunne the cloudes be turned ●edde it is a signe of no small tempest When the Sunne or the Moone shall haue a circle looke towarde the part where it breaketh and from thence shall wynde come yf it depart or dispearse equally fayre weather shall follow When the Moone ryseth bryght and by the whyche they passe We seé that in some o●e region it rayneth with one wynde and the selfe same wynde in other places disperseth the cloudes The N●rthwest wynde is drye in Spayne yet in Lybia it is very moyst and rayny The South wynde in Europe causeth rayne in most places and therefore the Poets named it the wynde of waters and this wind in Palestina or Iurie is drie The cause of this diuersitie is that when the wynde bloweth in Palestina it passeth by hot and drye regions as by the desarts of Affrike and passeth not by any sea at al. But when it bloweth in these partes of Europe it must of necess●tie passe by and ouer the waters of the sea Mediterraneum or the Leuant sea where it gathereth moysture and causeth rayne The Leuant or East wynde in Malaga and Gibralter is moyste and in Sheres De la Frontera is hot as Hell The xx Chapter of the bright and shynyng exhalations that appeare in the tempestes which the Mariners call Santelmo or Corpus sancti IGnorance is the mother of errours and therefore will I not omitte to shewe the naturall cause héereof although among certayne simple and ignoraunt people it is accounted for a myracle that in certayne tempestes on the Sea the Maryners seé certayne shynyng and bright fyres which with great superstition they kneéle downe vnto and pray vnto affyrming that it is Santelmo that appeareth vnto them and not contented héerewith some sweare that they haue seén● drops of gréene w●xe fall downe Other affyrme that this waxe is of such heate that if it fall from the top of the Ship it doth melt the rosen and pitch of the hatches of the Ship with such other foolish imaginations and therefore it shall be good briefly to speake héereof to stop the mouthes of such fond and ignorant persons The exhalations or vapoures of the grosse ●umes or smokes that ryse from the ea●th are constrayned or geathered togeather by the coldnesse of the nyght and the ayre and are thickned in the fyrst region of the ayre next vnto the earth This may and is wont to be inflamed or kindled and yf it finde a body whereunto it may cleaue it abydeth in that vntyll it be consumed This fyre is cleare and shyneth and yet burneth not The Greékes call it Polyduces and the Latines call it Castor and Pollux It is accustomed to appeare vpon the shrowdes and oftentymes is séene vpon the pykes of souldyers in the armies of men of warre as Plinie wryteth and this aswell by reason of continuall smoke as also by the heate of muche people Certayne it is that smoke is none other thyng then fyre dispearsed as flame is an exhalation or euaporation that ryseth in maner of smoke from a grosse or fat body and at the tyme that it ryseth being geathered togeather is constrayned into flame inuestured with fyre This resplendence or shy●yng is also often tymes seéne not onely in iourneying by lande but also in sayling by ryuers and when it appeareth on the lande it ryseth of the smoke that is geathered togeather with the colde ayre of the nyght and on the bankes of ryuers this smoke is geathered of the exhalations of the water and consequently beyng kyndeled appeareth bryght and shynyng But nowe let vs come to the Shyps that sayle by the Sea and to the Mariners ●hat are accustomed to tempestes To them there●ore I saye that that lyght or suche other lyghtes as they seé is engendred of the fumes and smokes of theyr Shyp with the heate of men couched close and neare togeather in a narrowe place and when a tempest ryseth the sayde smoke is thickned prest togeather and beaten downe by the wyndes in suche sorte that beyng tossed from one syde to another it is set on fyre by moouing and taketh holde sometyme on the shroudes and sometymes on the toppe and sometyme also in the poupe or in the foreshyppe So that to seé this lyght or the same to appeare is a naturall thyng and not supernaturall When Captayne B●zerra was at Corron in the Emperours Nauie with his company of Souldyers he chaunced to be in a tempest and sawe the sayde fyre of Santelmo which shortly after descended so lowe that the Captayne might easily come to it and taking it in his cloke he found it to be a litle drop of water Some haue thought it to be a certayne shyning Flie called Taros whiche the sea men some time see in a calme in the Sommer season and thus Santelmo appeared no more The Captayne remayned astonished at the mockerie and the other perceyued it to be no miracle The opinion of the Maryners that affirmed it to be Santelmo may ryse of Sainct Erasmo Byshop of Naples who as they say not only in his life tyme
the xii ●ignes The E●uinoctial Colure The Solstitia●● Colur● Th● greates● declination of th● Zodiacke Definition of the Meridian Circl● The mydday or noone Diuers Meridians Definition of the horizon hemisphere or horizon Diuers horizon● The ryght and oblique horizon Distance of the zenith from the Equinoctiall how the horizon is deuided by th● Meridian The true and vntrue East and VV●st The lesse Circles Tropykes Paralelles The Polar Circles The Poles of the zodiacke and Poles of the world The great●●● declination of the Sunne The Artyk● and Antartike The Sphere diuided into fiue zones Zones habitabl● and vnhabitable The diuision of the earth according to the fiue zones of heauen An errour of Ptolomie and the Astronom●● The land of Brasile The straights of Magalianes The West Indies People of long life vnder the zone Cold Regions habitable Island Gothland● Norway Russia The diuisio● of the Sphere by longitude and latitude The degre●● of the Equinoctial circl● Myle● Furlongs Leagues Grayne Fynger Foote Pase The degre●● of the sea Cardes The diameter of the earth and water Diuision of the earth and water by Climates Diuersities of thyngs in diuers Climates What is ● climate Differenc● of dayes The space of s●●●n climates The quantiti●●f the l●ss● circl●● The Latitude of Climates Dia M●r●● Dia Sien● Dia Alexandros Dia Rhodos knightes of the Rhodes The Rhod●● taken by th● Turke Dia Romes Dia Boristhenes Dia Rifeos The riuer Tanais Stoflerine The Meridian or South Climate A right line An angle 〈◊〉 A circl● The circumference of a circle The center of a circle Di●meter Se●icircle Zenith Ecc●ntricke Epicicle Auge Oppos●●● of Auge The Sun●e is the guyde in Nauigation The moouing of the Sunn● vnder the zodiack● The Sommer Tropicke Declination of the Sunne The Winter Tropike The cause of increasing and decreasing of the day and nyghtes The moouing of the Sunne in the center of his Sphere To fynde the true place of the 〈◊〉 The equ●●ion of the ye●re VVhat is the declination of the Su●●e The entrance of the Sunne into the fou●● principall signes The Latin● yeere The E●uinoctialles in the y●ere of Christ●s byrth The Solsti●●●ls ●our notable thyngs To knowe more precisely the entraunce of the Sunne into the foure principall ●ign●● To knowe when the Sunne entreth into euery of the xii Sign●● Leape ye●r● Variation of houres by the rapte mouing of the Sunne from the East to the VVest The entrance of the Sunne into the iiii principall signes causeth the chaunge of tyme. The Sunne and Moone are the principal luminaries The Eclipse of the Moone The coniunction of the Moone with the Sunne The Moone receyueth her lyght of the Sunne The aspect of the Moone to th● Sunne The increasing and opposition of th● Moone The bignes of the Moone The Moone is ●earest vnto the e●●th The motion of the moon● The coniunction Th● opposit● To know th● times of oppositions and coniunctio●s To know the golden number The rootes of the golden number The concurrent The Solar and Lunar yeeres To fynde the number of the concurrent Epact To know th● dayes o● ag● of the Moon● To know t●● day of the coniunction To know the place of the Moone in the Zodiacke and what aspectes she hath with the Sunne The description of the Instrument The vse of the Instrument to fynd the tru● place of th● Sunne To fynde the place of the Moone Fiue aspecte● of the Planets Coniunction Opposition Trinall quadrine Sexti●e To know th● place of the Sunne by th● rule of memorie To knowe in what degree the Sunne is The Eclipse of ●h● Sunne The Eclipse of the Sunne is not vniuersall ●ow ●h● Sunne is eclipsed in the whole or i● par● why the Moone seemeth somtime bigger and sometime lesse then the Sunne The Sunne is Eclipsed in coniunction the Moone in opposition The reuo●ution on o● the ●ight Sphere The Sol●r yeere how the Egyptians painted the yeere The quantitie of the yeere The yeere of the hebrues The Greekes Iulius Caesar. L●●pe yeere Dayes of the ye●r● Beginning of the yeere Ouid. bruma is the stay of the sunne in winter the winter solstitiall and shortest day of the yeere The Creation of the world Exod. xii VVhere the Christians begin the yeere Diuersitie in the number of the yeeres or the date Machomet The date of the Christians The Lunar yeere or mo●eth Reuolution of the moone The deuisio● of the yeer● into twelue monethes The Luna● moneth The mone●● of peragratio● The moneth of consecutio● The mouing of the Su●ne and moone in coniunction To know the tydes by the aspectes of the Moone The illumination or change of the Moone Interlunium is the space of tyme in the which neither the olde Moone doth appeare nor the newe Moone is seene The weeke of the Iew●s The Roman●● The Christians Ferine signifieth vacant daies or som●time holy or f●stiuall 〈◊〉 The na●●●all day The beginning of the naturall day The ende of the na●u●all day The artificiall day The nygh● houres natural and artificiall The hour natural or equal The houre artificial or temperal The day and nyght diuided into foure partes Interpretation of certayne places of the Gospell The night diuided into ii●● quarters Four watches of the nyght how Mariners ought to watch To know the houres of the day by the Sunne The placing of the instrument The fynding of the Meridian lyne The eleuation of the Pole Dyals horizontall and verticall East ●est The Triangle The making of the Dyall houres of the horizontall Dyall Placing of t●● Dyall The Meridian line of th● Dyall The making of the vertical Dyall The Guard● starres what is mydnyght Noone or mydday An errour The making of the ●nstrument The horne of the seuen starres whiche make the lesse beare To fynde the hour with the instrument The Mariners opinion of ●bbyng and flowing of the sea or tyd●s Obseruation of the Moon● to know the tydes Eyght principall wyndes The Moone causeth the ebbing and flowing of the Ocean Sea The moouing of the Moone The shortning of the tydes An errour The variation of the tydes A Table to knowe th● variation of the tydes Signes of fa●●● and sowle weather Some cal these the fiers of S. Elin and S. Nicolas wandring fyers engendred of exhalations and vapours Castor and Pollux what is smoke and flame Exhalations of the land and water Exhalations and vapours engendred in Shyps A shining flye A superstitious opinion of the Mariners A lye of the fryer preachers Psalm 67. Testimonie of auncient aucthours The buildyng of Rome The Roman● kyngs One lyght or fyre is an euill signe Two lyghtes Castor and Pollux an errour of the Mariners Psalm 68. why Eolus was fayned god of winds what is winde The foure principall or Cardinall wynd●s Luke xvii East Sou●h west North. Colla●erall wyndes Twelue wy●des Eyght whole wyndes Diuision of the horizon by the foure principall wyndes Eyght halfe wyndes quarter windes The deuisio● of the wind● xxxii winde● in al●● The names of