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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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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
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
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