M. Blundevile his exercises containing sixe treatises, the titles wherof are set down in the next printed page: which treatises are verie necessarie to be read and learned of all yoong gentlemen that haue not bene exercised in such disciplines, and yet are desirous to haue knowledge as well in cosmographie, astronomie, and geographie, as also in the arte of navigation ... To the furtherance of which arte of navigation, the said M. Blundevile speciallie wrote the said treatises and of meere good will doth dedicate the same to all the young gentlemen of this realme.

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Author:	Blundeville, Thomas, fl. 1561.
Title:	M. Blundevile his exercises containing sixe treatises, the titles wherof are set down in the next printed page: which treatises are verie necessarie to be read and learned of all yoong gentlemen that haue not bene exercised in such disciplines, and yet are desirous to haue knowledge as well in cosmographie, astronomie, and geographie, as also in the arte of navigation ... To the furtherance of which arte of navigation, the said M. Blundevile speciallie wrote the said treatises and of meere good will doth dedicate the same to all the young gentlemen of this realme.
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Print source:	M. Blundevile his exercises containing sixe treatises, the titles wherof are set down in the next printed page: which treatises are verie necessarie to be read and learned of all yoong gentlemen that haue not bene exercised in such disciplines, and yet are desirous to haue knowledge as well in cosmographie, astronomie, and geographie, as also in the arte of navigation ... To the furtherance of which arte of navigation, the said M. Blundevile speciallie wrote the said treatises and of meere good will doth dedicate the same to all the young gentlemen of this realme. Blundeville, Thomas, fl. 1561. London: Printed by Iohn Windet, dwelling at the signe of the crosse Keies, neere Paules wharffe, and are there to be solde, 1594.
Subject terms:	Mercator, Gerhard, 1512-1594. Plancius, Petrus, 1552-1622. Blagrave, John, d. 1611. Astronomy -- Early works to 1800. Arithmetic -- Early works to 1900. Trigonometry -- Early works to 1800. Early maps -- Early works to 1800.
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Table of Contents

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title page

The Titles of the Treatises con∣tayned in this booke.

To the Reader.

What cause first mooved the Author to write this A∣rithmeticke, and with what order it is here taught, which order the contents of the chapters therof hereafter follow∣ing doe plainly shew.

This Treatise of Arithmeticke contai∣neth 26. Chapters as followeth.

To the Reader touching the order of finding and correcting the faults escaped in printing.

Of Arithmetike. Cap. 1.

Of the foure speciall kinds or partes of Arith∣metike. Cap. 2.

Of Addition.

Of Subtraction. Cap. 3.

Of Multiplication. Cap. 4.

Certaine compendious waies of Multiplycation.

Of Diuision. Cap. 5.

Certaine compendious waies of Diuision.

Of halfing any number.

Of the Rule of three otherwise called the golden Rule whereof there be three kinds, that is, the common Rule, the rule Reuerse, and the Double rule. Cap. 6.

Of Fractions. Cap. 7.

Seauen necessarie Rules belonging to Fractions.

Addition of Fractions. Cap. 8.

Subtraction of Fractions.

Multiplycation of Fractions.

Diuision of Fractions.

The rule of three belonging to Fractions. Cap. 9.

The golden Rule reuerse called in Latine regula euersa that is to say turned back-ward. Cap. 10.

Another example of the same rule.

The double rule called in Latine regula duplex. Cap. 11.

Another example.

The rule of Fellowship Cap. 12.

A like example of losse receiued by Shipwracke.

Another example.

Another like example of diuerse distance of time.

Of Progression and how ma∣nifold it is. Cap. 13.

Of Addition belonging to Progression Arithme∣ticall. Cap. 14.

Of Addition belonging to pro∣gression Geometricall. Cap. 15.

Of Proportion. Cap. 16.

Cap. 17.

Cap. 18.

Cap. 19.

Cap. 20.

Of proportion of the greater inequalitie there be two kindes, Simplex and Multiplex, that is to say, simple and manifold.

Cap. 21.

Of Musicall proportion called in Latine Harmoniaca proportio. Cap. 22.

Cap. 23.

How to finde out the square roote of any number. Cap. 24.

The vse of the square roote in setting of battels. Cap. 25.

How to set a battell square of ground, called in Italian Battaglia quadra di terreno.

How to set a battell square of men called in Italian Battaglia quadra d'huomini.

How to set a long square battell which we call the Hearse battel, and is called in Italian, Battaglia dun tanto emezzo.

How to set a battell of so much and a third, called in Italian, Battaglia dun tan∣to & dun terzo.

How to finde out the Cubique roote of any number. Cap. 26.

Of Astronomicall Fractions. Cap. 27

Of Addition.

An example of Addition consisting of signes, degrees, minutes and seconds.

Another example of daies, howers, minutes and seconds to be added together.

Of Subtraction.

Of Multiplycation.

Of the Diuision of Fractions Astronomicall.

How to diuide Astronomicall Fractions when the Diuisor is grea∣ter then the diuidennd. Cap. 28.

How to take the square roote of Astronomicall Fractions. Cap. 29.

The description and vse of the Sexagenarie table.

The vse of the Table.

An example how to diuide Astronomicall Fracti∣ons by helpe of the Sexagenarie table.

Another example of Diuision.

An example shewing how to extract the square roote out of Astronomicall Fractions.

title page

THE DESCRIPTION and vse of the Table of Synes.

The definitions of the foresaid tearmes.

How to find out by the said tables, the distance betwixt two places differing both in Longitude and Latitude, making the totall Sine to be no more but 60/000.

The Altitude of the sunne being knowne how to find out the Longitude of the shadow both right and verse of any body yeelding shadow by helpe of the foresaid tables.

A briefe description of the tables of Sines Printed in quarto like vnto those which Clauius setteth down in his commen∣taries vpon Theodosius his Spheriques.

1 How to find out the declination of the Sunne at any time his place in the Zodiaque being giuen, Per tabulas Sinuum.

2 How to know the right ascention of the Sunne, Per tabulas Sinuum.

3 How to finde out the ascentionall difference, Per tabu∣las Sinuum.

4 How to find out the oblique ascention of any pointe of the Ecliptique in any Latitude assigned.

5 How to finde out the time of the Sunnes rising and set∣and thereby the length of the artificial day.

6 How to find out the Meridian altitude of the Sunne in any day though he doth not shine at all, the eleuation of the Pole being giuen.

THE DESCRIPTION and vse of the Tables of Tan∣gents and Secants.

The vse of the said tables according to Clauius, is thus.

The vse of which tables in Astronomi∣call matters, I haue here set downe as followeth.

1 To find out the declination of the Sunne, the place thereof being knowne.

2 Knowing the declination of the sunne how to finde his distance from the equinoctiall point, and so consequently his place in the Zodiacke.

3 To finde out the right ascention of the sunne.

4 How to finde out the declination of the sunne know∣ing onely the right ascention thereof.

5 How to finde the place of the sunne knowing onely the right ascention thereof.

6 To find out the ascentionall difference of the sunne or any starre in the firmament, knowing the declination thereof, and also the latitude of your region.

7 To find out the oblique ascention of the sunne.

8 To finde out the oblique descention of the Sunne at any time.

9 To finde out the length of the day or night.

10 To finde the houre of the Sunne his rising or setting in any latitude assigned.

11 To find out the length of the planetary houres and to find what Planet raigneth at any houre of the day.

12 To finde the arch of the Equinoctial, comprehended betwixt the Meridian and any Circle of position according vnto Campanus and Gazula.

13 Knowing the Latitude of your Region, and also the eleuation of the Pole aboue any Circle of position, howe to finde the inclination of the saide Circle of position vnto the Meridian, and so consequently the Arch of the Equinoctiall, which is betwixt the said Circle of position & the Meridian.

14 To finde out the Eleuation of the Pole aboue any as∣signed Circle of Position in any giuen Latitude.

HERE FOL∣LOVVETH THE TABLE OF RIGHT SINES FOR EVERIE MINVTE OF THE QVADRANT, FIRST CALCV∣LATED BY I. REGIO MONTANVS, BVT NOW EXAMINED AND IN MANY PLACES COR∣RECTED AND AMEN∣DED BY CLAVIVS.

THE TABLE OF TANGENTS, OTHERWISE CALLED THE FRVITFVLL TABLE.

THE TABLE OF SECANTS OTHER∣WISE CALLED THE BENEFICIALL TABLE.

title page

The exposition of certaine termes or principles of Geometrie.

The order and contents of this Trea∣tise, touching the first principles of Cosmography, and specially of the Spheare.

The Chapters and Contents of the first Booke.

The Chapters and Contents of the second Booke, containing the Elementall part of the world.

The first part of the Spheare.

Of Cosmography, what it is, and what kinds of Sciences it comprehendeth, and who were first inuentors thereof. Chap. 1.

The definition of a Spheare, and of the vnitie, roundnesse, and capacitie of the worlde, also of the poles and axeltre thereof. Cap. 2.

Of the diuision of the world, and of the two essentiall parts thereof, and what things ech part contayneth. Cap. 3.

A demonstration to prooue the pluralitie of the heauens. Chap. 4.

Of the highest Spheare or Heauen, called the imperi∣all heauen. Chap. 5.

Of the tenth Spheare or heauen, called in Latine primum mobile, that is, the first moueable, and what motion it hath. Chap. 6.

Of the ninth heauen, what motions and names it hath, and whether there be any waters aboue the firmament or not. Chap. 7.

Of the eight heauen what motions it hath, and what circles are imagined by the Astronomers to be in that heauen, and to what vse and purpose they serue: Also in what time euery one of the seuen Planets maketh his reuolution, & of what thick∣nes their Spheares be. Chap. 8.

Of the Circles whereof a materiall Spheare consisteth, and of their diuerse diuisions. Chap. 9.

Of the Equinoctiall line, why it is so called, and of the di∣uerse vses thereof. Chap. 10.

Of the Zodiaque why it is so called, and of the 12. signes therein contained: Also of the Latitude, Longitude, and de∣clination thereof. Chap. 11.

How much the Zodiaque declineth from the Equinoctiall towards either of the Poles, and of the greatest declination of the Sunne, what it is at this present, and what it hath beene in times past. Chap. 12.

How to know the quantitie of the Sunnes declination be it Northward or Southward, euery day throughout the yeare, as well by a Table as by helpe of the Spheare. Chap. 13.

The description and vse of the Table.

Vpon what Poles the Zodiaque turneth about, also of the Ecliptique line and of the diuers vses thereof. Chap. 14.

Of the Eclipses both Solar and Lunar, and of the head and taile of the Dragon, with certaine figures shewing the same. Chap. 15.

Of the two Colures, and why they are so named, and wher∣to they serue: also of the foure Cardinall points, that is, of the two Equinoctiall, and the two Solstitiall points, and of the en∣trance of the Sunne into any of those points or into any other signe. Chap. 16.

Of the Horizon both right and oblique, making thereby three kindes of Spheares, that is, the right, the Paralell, and the oblique Spheare. Chap. 17.

Of the Meridian, and of the vses thereof. Chap. 18.

Of the vertical circle, and vses thereof. Chap. 19.

Of the foure lesser circles, that is to say, the circle Arctique, the circle Antarctique, the Tropique of Cancer, and the Tro∣pique of Capricorne, and also of the fiue Zones, that is to say, two cold, two temperate, and one extremely hoat. Chap. 20.

Of the starres and celestiall bodies contained in the firma∣ment, and first of their substance. Chap. 21.

Of the moouing and shape of the starres. Chap. 22.

Of the number of the starres, and of their magnitude or greatnesse, and into how many Images they are deuided, and how many starres euery image containeth. Chap. 23.

Of the xij. Images or signes of the Zodiaque. Chap. 24.

Of the xxj. Northerne Images. Chap. 25.

Of the 15. Southerne Images. Chap. 26.

Of the longitude of the fixed starres, and of the procession of the vernall Equinoctiall point, and what it is. Chap. 27.

Of the Latitude of the fixed starres. Chap. 28.

Of the Declination of the fixed starres. Chap. 29.

Of the ascention and descention, that is the rising and set∣ting of the starres, aswell according to the Astronomers, as ac∣cording to the Poets. Chap. 30.

Of the Astronomicall ascention and descention in generall both right, meane, and oblique, and what a giuen Arke is. Chap. 31.

Of the right, oblique, and meane ascention in particular, and of the chiefest causes of such diuersitie of ascentions. Chap. 32.

How to know the diuersities of the ascentions and descen∣tions, as well in the right as oblique Spheare. Chap. 33.

Of the ascentionall difference and vses thereof. Chap. 34.

Of the Poeticall rising and setting of the starres. Chap. 35.

Of time, what it is, and into what parts it is deuided. Chap. 36.

Of the yeare, and of his diuerse kindes, and of the diuerse computations had thereof in diuerse ages, and amongst diuers Nations. Chap. 37.

Of the sunnes yeare called in Latine annus solaris, and of the diuerse kinds thereof, and first of the Tropicall yeare, both e∣quall and vnequall. Chap. 38.

Of the Syderall yeare, and how much it containeth. Chap. 39.

Of the Politicall yeare, and diuerse kinds thereof. Chap. 40.

Of the Iulian yeare, and why it is so called. Chap. 41.

Of the Egyptian yeare, and how many daies it containeth. Chap. 42.

How many Moones the Iewes yeare, and the Athenians yeare doth containe. Chap. 43.

Of the yeare Lunar, and of the kinds thereof. Chap. 44.

Of the diuers kinds of monthes, and into what parts euery Solar moneth is deuided according to the Romanes, that is, into Kalends, Nones, and Ides. Chap. 45.

Of the diuerse kindes of moneths Lunar. Chap. 46.

Of a weeke. Chap. 47.

Of dayes and nights both naturall and artificiall. Chap. 48.

The causes why the time betwixt the rising & going downe of the sunne is vnequall. Chap. 49.

How to find out by the materiall Spheare or Globe, and by helpe of the ascentionall difference before defined, the in∣crease and decrease of euery day throughout the yeare in e∣uery seuerall Latitude, and at what houre the sunne riseth and setteth. Chap. 50.

How to know by the materiall Spheare or Globe, in what part of the Horizon the sunne riseth and setteth euery day, and thereby the length of the day. Also how to know the Me∣ridian altitude of the sunne euery day throughout the yeare, & being at his Meridian altitude, to know how farre distant he is from the Zenith euery day. Chap. 51.

Of houres as well equall as vnequall, and into what partes they are deuided. Chap. 52.

How and in what manner the Iewes doe deuide the artifi∣ciall day and night, ech of them into foure quarters. Chap. 53.

How to knowe what Planet raigneth in euery houre of the day or night artificiall, as well by helpe of a table, as by a rule contained in one verse. Chap. 54.

The vse of the Table.

The second part of the Spheare.

Of the Elementall part of the world. Chap. 1.

Of the Fire and of his nature and motion. Chap. 2.

Of the Aire and into how many Regions it is deuided. Chap. 3.

Of the Water, and whether it be round or not. Chap. 4.

Of the Earth and whether it be all round or not. Chap. 5.

Of the compasse of the earth, and of the diuersitie of mea∣sures according to diuerse countryes. Chap. 6.

Of the Longitude and Latitude of the earth. Chap. 7.

How to know the Latitude of any place, aswell in the day as in the night. Chap. 8.

How to know the true Longitude of any place. Chap. 9.

A readie way to finde out the longitude of any place, in∣uented by Gemma Frisius. Chap. 10.

Another way taught by Appian to finde out the longi∣tude of any place with the crosse staffe by knowing the di∣stance betwixt the Moone and some knowne starre that is si∣tuated nigh vnto the Ecliptique line. Chap. 11.

How to know the distance of places, that is to say, how ma∣ny miles one place is distant from another, and howe many wayes places are said to differ in distance one from another. Chap. 12.

How to know by the helpe of the foresaide Table the di∣stance of two places differing onely in longitude. Chap. 13.

chapter 14

How to finde out the true distance of two places differing both in longitude and latitude by the Arithmeticall way. Chap. 14.

How to finde out the distance betwixt two places, diffe∣ring both in longitude and latitude by help only of a demi∣circle deuided into 180. degrees without any Arithmetike. Chap. 14.

How to find out the distance of the places by the Geome∣tricall way. Chap. 15.

Of the 5. Zones. Chap. 16.

Of Parallels. Chap. 17.

Of Climes both old and new. Chap. 18.

A Table shewing the longest day in euery degree of La∣ditude, proceeding orderly from the Equinoctiall to the North pole, by whole degrees without minutes from one de∣gree to 90.

Of the diuerse seasons and shadowes incident to diuerse Climes and Parallels, and first what seasons and shadowes they haue that dwell right vnder the Equinoctiall. Chap. 19.

Of the seasons and shadowes which they haue that dwell betwixt the equinoctiall and the Tropique of Cancer. Chap. 20.

Of the seasons and shadowes which they haue that dwell right vnder the Tropique of Cancer. Chap. 21.

Of the seasons and shadowes which they haue that dwell betwixt the Tropique of Cancer and the circle Arctique. Chap. 22.

Of the seasons and shadowes which they haue that dwell right vnder the Circle Arctique, and how long their day is. Chap. 23.

What seasons, shadowes and length of day they haue that dwell betwixt the circle Arctique and the pole Arctique. Chap. 24.

Of those that dwell right vnder the Pole. Chap. 25.

By what names certaine inhabitants of the earth are called, as well according to the diuersitie or likenesse of shadowes as of situation. Chap. 26.

By what names certaine parts of the earth are called by rea∣son of their diuerse shapes. Chap. 27.

Of the wind, what it is, what motion it hath, and of the diuers names and diuisions thereof. Chap. 29.

Of the nature and qualities of the foresaid 12. windes. Chap. 29.

Of the moderne diuision of the windes. Chap. 30.

title page

A plaine description of the two globes of Mercator, that is to say, of the Terrestriall Globe, and of the Celestiall Globe, and of either of them, together with the most necessary vses thereof, and first of the Terrestriall Globe, written by M. Blundeuill.

This Treatise of the two Globes, containeth 50. Propositions as followeth.

How to place the Globe trulie according to the 4. quar∣ters of the world, and according to the latitude of any region. The first Proposition.

To know vnder what Clime any place or region is, and of how many houres the longest day is there, and also what lati∣tude any place described in the map hath. The 2. Proposition.

How to know what longitude anie place described in the Map hath. Proposition. 3.

How to know the distance betwixt any two places descri∣bed in the Map. Proposition. 4.

To know how one place beareth from another. Proposition. 5.

How to find out by the Globe the place of the Sunne, that is to say, the degree and minute of that figne wherein the Sun is euery day throughout the yeare. Proposition. 6.

How to rectifie the Index of the houre wheele for euerie seuerall day throughout the yeare. Proposition. 7.

How to knowe euery day at what houre the Sunne rifeth or setteth. Proposition. 8.

How to know in what part of the Horizon the Sunne ri∣seth and setteth euerie day. Proposition. 9.

How to know the length of euery day and night through∣out the yeare, aswell by help of the houre wheele as by coun∣ting the degrees vpon the Horizon. Proposition. 10.

How to know by the Globe how much the Sun declineth euery day throughout the yeare from the Equinoctiall. Proposition. 11.

How to know by the Globe the Meridian altitude of the Sun, that is to say, his height at noontyde euery day through∣out the year, and how far he is then distant from your Zenith. Proposition. 12.

How to know the altitude of the Sunne at any other houre of the day. Proposition. 13.

How to know the houre of the day by the Globe. Proposition. 14.

To knowe how much the vnequall houres otherwise cal∣led the planetarie houres do differ from the Artificial houres throughout the yeare, and how many minutes euery vnequal houre containeth. Proposition. 15.

How to know euery day when the dawning of the day and the twilight of the night beginneth and endeth, and the time of their continuance. Proposition. 11.

Howe to knowe the ascention of the Sunne both right and oblique. Proposition. 17.

The 18. Proposition, contayning the description of the celestiall Globe, and shewing wherein it is like or differing from the terrestriall Globe. Proposition. 18.

The 19. Proposition, containing a particular description of the 48. Images of the fixed Starres that are in the celestiall Globe together with their sundrie names and also the names of so many starres as are named in the Globe, of which 48. I∣mages 21. are ascribed to the North part of the firmament, 12. to the Zodiaque, and 15. to the South part of the firma∣ment. Proposition. 19.

The Northern Images contained in the first space, inter∣cepted betwixt the first Meridian and the second Meridian.

The Northern Images contained in the second space.

The Northern Images contayned in the 3. space.

The Northern Images contained in the 4. space.

The Northern Images contayned in the 5. space.

The Northren Images contayned in the sixt space.

The northern Images contained in the seuenth space.

The northern images contayned in the eight space.

The northern images contayned in the 9. space.

The northern images contained in the tenth space.

The Northerne Images contayned in the 11. space.

The Northern images contained in the 12. space.

The Southern Images contained in the first space, begin∣ning at the Vernall Equinoctiall point.

The Southern Images contayned in the second space.

The Southerne Images contained in the third space.

The Southerne Images contained in the fourth space.

The Southern Images contained in the fift space.

The southern Images contained in the sixt space.

The southern Images contayned in the 7. space.

The southerne Images contained in the eight space.

The southerne images contayned in the 9. space.

The southern images contained in the tenth space.

The southern Images contayned in the 11. space.

The Southerne Images contained in the twelfth space.

The nature of euery one of the Planets here followeth.

A briefe description of the milke white way, called in Greeke Galaxia, and in Latine Via lactea.

How to find out in heauen anie vnknowne Starre descri∣bed in the Globe two manner of wayes, that is, either by the helpe of some knowne starre, or els by knowing the true houre of the night. Proposition. 20.

How to know by the Globe the Meridian altitude which is the highest altitude of any starre, and also how high or lowe he is at any other time. Proposition. 21.

How to know by the Globe what Starres are aboue the Ho∣rizon at any time of the day or night. Proposition. 22.

How to know by the Globe at what time any star riseth a∣boue the Horizon, mounteth to the highest, and setteth, and with what degree of the Ecliptique he riseth, mounteth, and setteth, and also in what part of the Horizon he riseth and set∣teth. Proposition. 23.

How to know in what part of the firmament any starre is, and how many degrees it is distant from the Meridian at any houre, and being right vnder the Meridian to knowe how far it is distant from your Zenith. The 24. Proposition.

How to find the houre of the night by the Globe. The 25. Proposition.

How to know the verticall starres in euery Latitude. The 26. Proposition.

How to know the true place of any starre, that is to say, in what signe and in what degree there of any starre is. The 27. Proposition.

How to find the Longitude of any starre by the Globe. The 28. Proposition

How to find out the Latitude of any starre. The 29. Proposition.

How to find out by the Globe the declination of any starre. The 30. Proposition.

How to know the magnitude or greatnes of any starre, and his nature and qualitie by the Globe, and also the right ascen∣tion of the Arch of the Ecliptique which accompaneth the right ascention of any starre. The 31. Proposition.

The vse of the Table next ensuing.

How to finde out the right and oblique ascention of any starre, and also of the ascentionall difference. The 32. Proposition.

To know in what quantitie of time any whole signe or any other Arch of the Ecliptique doth rise or set. The 33. Proposition.

How to know by the Globe what starres doe rise or set eue∣ry day Cosmically, Acronically, or Helically. The 34. Proposition.

To know in what time of the yeare any starre riseth or set∣teth, either Cosmically, or Acronically. The 35. Proposition.

Of the Horoscop and the rest of the twelue houses. The 36. Proposition.

How to finde out the Horoscop or ascendent at anie time of the day or night by the globe, and thereby to knowe the 4. principall angles of heauen. Proposition. 37.

How to erect a figure by the Globe according to Regio Montanus his way which is called the reasonable way, and is counted the best of all others. Proposition. 38.

How to know the latitude of any place or region by any of the fixed starres described in the Globe. Proposition. 39.

Another way to find the eleuation of the Pole. Proposition. 40.

A third way to finde out the latitude of any place without taking the Meridian altitude of any Starre. Proposition. 41.

A fourth way to find out the latitude of any region by any knowne fixed starre or Planet that may be seene. Proposition. 42.

A briefe description of the diurnall table set downe in Sta∣dius his Ephemerides, together with the vse thereof. Proposition. 43.

How to finde out the place of any Planet by the Epheme∣rides. Proposition. 44.

The example.

A briefe description of the Table of Stadius set downe in the 112. page of his Ephemerides to finde out thereby the dayly latitude of the Moone be it North or South together with the Canon or rule thereof plainly declared by example. Proposition. 45.

The rule or Canon together with a plaine example shewing the vse of the Table.

The Example.

How to know the true place of the Sun or Moone, or of any other planet euery houre of the day throughout the yeare. Proposition. 46.

The Rule.

The Example.

The example.

How to finde out the place of the Moone by the Globe, when she is aboue the Horizon, without the helpe of any E∣phemerides or other Table what soeuer. Proposition. 42.

Another way to find out the place of the Moone without taking the latitude of any without. Proposition. 48.

How to finde out the Longitude of any Region. The 49. Proposition.

Another way to find out the vnknowne Longitude of any place by the Globe. The 50. Proposition.

A briefe description of the two great Globes lately set forth first by M. Sanderson, and then by M. Molineux.

The first voyage of Sir Frances Drake by sea vnto the West and East Indies both outward and homeward.

The voyage of M. Candish vnto the West and East Indies, described on the Terrestriall Globe by the blew line.

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IN DOCTISSIMI VERE∣QVE GENEROSISSIMI THO. BLVNDEVILI, IN PETRI PLANCII TABVLAM GEOGRAPHICAM ET HYDROGRAPHICAM ELV∣cidationes, Gualteri Hawghi .

A plaine and full description of Plancius his vniuersall Mappe, set foorth in the yeare of our Lord, 1592. written in our mother tongue by M. Blundeuill.

The title of the first page is thus.

The Contents of the second Page.

Of Europe.

The Contentes of the third page.

The Contents of the 4. page, wherein he describeth Sweth∣land. Polonia, Hungaria, Sclauonia, Greece, England, and Scotland as followeth.

The contents of the fift page.

The Contents of the 6. page, wherein he describeth China, and the plant of pepper there growing, with the shape thereof.

The Contentes of the seuenth page: wherein he first descri∣beth the red figge tree of India, and setteth downe the shape thereof, then he describeth the East Indies, and last of all hee sheweth the nature of the Elephant, whose shape he setteth downe in the same page.

Of the Elephant.

The Contents of the 8. page, in which he describeth the beast called Rhinoceros, and setteth downe his shape, and he describeth the Sinamon tree, shewing the shape of the trunke and of the leaf therof, and also the Muske Cat, with her shape, and in the latter end of the page he describeth the Realme of Persia.

The Sinamon tree.

The Muske Catte.

The description of Persia.

The Contents of the 9. page.

Of the stone Bezar.

Of the dominions which the great Turke hath in Asia.

The Citie Aden.

The Beast called Camelopardalis.

The Pyramides.

The contents of the 10. page.

The Crocodyle.

Of Mummie.

Of the Vnicorne.

The Contentes of the 11. Page, wherein hee first descri∣beth Afrique, and then certaine fruites and spices, as Nut∣megs, Mace, & cloues, & setteth downe the shape of them, then he sheweth which bee the mightiest Princes in Afrique, and thirdly he describeth Mexicana, which is the first north part of America.

The Nutmegge tree.

Of the Cloue tree.

The chiefest Princes of Africa

Mexicana.

The contents of the 12. page.

Peruana.

Magellanica.

Which be the great Princes of the World?

The qualities of diuers people in the World.

page 13-16

The 21. inscriptions belonging to Europe, but most to Asia.

The 12. Inscriptions belonging to Afrique.

The 11. Inscriptions belonging to Mexicana.

The 6. Inscriptions belonging to Peruana.

The 21. inscriptions belonging to Magellanica.

Of the South pole and of the starres that are about the same.

How to finde out the distance of two places differing onely in Latitude.

How to find out the distance of two places differing onely in Longitude.

How to finde out the distance of two places differing both in Longitude and Latitude by helpe of a semi-circle deuided into a 180. degrees, which I had from my louing friend Mai∣ster Wright of Cayes Colledge in Cambridge, of whom I make mention aswell in my treatise of the Spheare as in that of Nauigation.

How to make with you Compasses, a perpendicular line to fal from any point giuen vpon another right line, making ther∣with right angles without the helpe of any squire.

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To the Reader.

What this word Astrolabe signifieth.

The description of Master Blagraue his Astrolabe, other∣wise called the Mathematicall Iewell.

A Description of the Nette, called in Latine Rete.

A briefe description of the backe parte of the saide Iewell.

The Table contayning 32. necessarie conclusions to be wrought by this Astrolabe.

The vses of the Astrolabe, and first howe to finde out the place of the Sunne (that is to say) in what signe and degree thereof the Sunne is euerie day throughout the yeare, being not leape yeare, and also the opposite point of that degree. The first. Proposition.

How to know the place of the Sunne in the Leape yeare and how to finde the leape yeare. Proposition. 2.

How to take the altitude of the Sunne, or of any starre. Proposition. 3.

How to take the Meridian altitude, that is to say, the highest or greatest altitude of the Sunne or of any starre. The 4. Proposition.

How to know the altitude of the sun, or of any starre at any houre of the day without seeing the sunne or starre. The 5. Proposition.

How to know the Meridian altitude of the sunne, or of any starre euery day throughout the yeare, without seeing eyther sunne or starre. The 6. Proposition.

How to find the declination of the sunne, or of any starre described in the net. The 7. Proposition.

How to find out the Latitude of any Region. The 8. Proposition.

How to know the houre of the day by the Sunne, and also in what part of heauen he is at that instant. The 9. Proposition.

How to find the rising and setting of the sunne euery day in euery Latitude, and thereby the length of the day, and in what coast or part of the Horizon be riseth and setteth. The 10. Proposition.

How to knowe euery day at what houre the Moone riseth and setteth, and how long she continueth aboue the Horizon, and also when she is full South. The 11. Proposition.

How to find out the right ascention of the sunne, or of any degree or portion of the Ecliptique. The 12. Proposition.

Another morereadie way to finde out the right ascention of any degree or portion of the Ecliptique by the Rete. The 13. Proposition.

How to finde out the ascentionall difference of the sunne, or of any degree or point of the Ecliptique. The 14. Proposition.

How to find out the oblique ascention of the sunne, or of any point of the Ecliptique. The 15. Proposition.

How to find out the right ascention of any arke or portion of the Ecliptique, and therewith to knowe what time it spen∣deth in rising in a right Spheare. The 16. Proposition.

How to finde out the oblique ascention of any arke of the Ecliptique in any Latitude, and what time it spendeth in his rising. The 17. Proposition.

How to finde out the oblique descention of any point of the Ecliptique in any Latitude. The 18. Proposition.

How to finde out the oblique descention of any arke giuen of the Ecliptique, and therewith to knowe the time which it spendeth in his setting. The 19. Proposition.

How to know the height of any starre at any houre, without seeing the starre, and thereby to find out in the firmament all the starres that be described in the net, and are to bee seene with the eye. The 20. Proposition.

How to finde out the ascentionall difference of any starre. The 21. Proposition.

How to know the oblique ascention of any starre. The 22. Proposition.

How to knowe what starres doe neuer rise nor set in anie Latitude. The 23. Proposition.

How to know at what houre of the day or night any starre riseth or setteth. The 24. Proposition.

How to knowe how long any starre continueth aboue the Horizon in euery Latitude. The 25. Proposition.

How to finde out the starres houre, and thereby to knowe the houre of the night. The 26. Proposition.

How to finde out the distance betwixt any two starres contained in the Net. The 27. Proposition.

Another way to knowe the distance of any two stars, their Longitudes and Latitudes being first knowne, and also by that meanes to finde out the distance betwixt any two places vp∣pon the earth. The 28. Proposition.

How to find out the degree of Medium coeli at any houre, of the day (that is to say) the degree of the Zodiaque that is in the Meridian at any houre that you seeke, and also the de∣gree called Imum caeli. The 29. Proposition.

How to finde out the Horoscope or ascendent at any time of the day or night, and thereby to haue the foure principall angles of heauen. The 30. Proposition.

How to find the Circles of position, and to know how much the pole is eleuated aboue euery such Circle in any Latitude, without the knowledge whereof you can not finde out the twelue houses by this Astrolabe. The 31. Proposition.

How to find out all the 12. houses of heauen, and thereby to erect a figure at any houre of the day or night. The 32. Proposition.

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Of Nauigation, what it is, and with what order the principles thereof are here taught by Master Blundeuill, according to the rules of the best moderne writers of that Arte.

A generall Kalender or Almanacke for euer, containing these 9. Chapters next following.

A general Kalender or Almanacke for euer.

How to find out the Golden number euery yeare. Chapter. 1.

How to finde out the Epact in everie yeare. Chapter. 2.

How to knowe the Epact by the Mariners rule vpon your thumbe. Chapter. 3.

Howe to knowe the age of the Moone in everie moneth throughout the yeare. Chapter. 4.

How to know the change, the full, and foure quarters of the Moone euerie moneth throughout the yeare. Chapter. 5.

Howe to know in what signe and degree the Moone is e∣uerie day throughout the yeare. Chapter. 6.

How to find out the moouable Feastes euerie yeare, onely by knowing the day of coniunction in the moneth of Febru∣arie. Chapter. 7.

How to finde out the circle of the Sunne, called in Latine by a Greekish name Cyclus Solaris, and thereby the Domini∣call Letter in euery yeare. Chapter. 8.

How to find out the number of Indiction. Chapter. 9.

A briefe description together with the vse of the diurnall Table or Almanacke of Iohannes Stadius. Chapter. 10.

How to find out the place of any planet by the Ephemerides. Chapter. 11.

The Example.

Of the Mariners Ring or Astrolabe, and of his crosse staffe. Chapter. 12

Of the crosse staffe hauing three Transames or Cursours, commonly vsed in these dayes, the vse and making whereof doth hereafter followe according to the description of Wago∣ner and Michaell Cogniet.

A briefe description of Maister Hoode his crosse staffe, and of all the partes thereof. Chap. 13.

How to set the partes of Maister Hoodes staffe together to serue such Astronomicall vses as doe chiefely belong to the Mariner. Chap. 14.

The shape or figure of the foresaide staffe, hauing all his partes set together to serue for Astronomicall vses. Chap. 15.

How to take the altitude of the funne at any houre that he is to be seene with the eye by M. Hoods staffe. Chap. 16.

How to take the altitude of anie starre with Master Hoodes staffe. Chap. 17.

How to take the distance betwixt two starres with Maister Hoodes staffe. Chap. 18.

Of the Mariners Astrolabe. Chap. 19.

A briefe description of the Mariners Astrolabe, and the vses thereof. Chap. 20.

A briefe description of the Mariners Crosse-staffe. Chap. 21.

The vses of the Mariners crosse-staffe. Chap. 22.

Of the winde, what it is, and of the diuers kindes and names thereof. Chap. 23.

A briefe description of the Mariners compasse, and the vse thereof. Chap. 24.

Of the Lodestone, and of the variation of the Compasse in Northeasting and Northwesting. Chapter. 25

How to find out the variation of the compasse in every la∣titude. Chapter. 26.

Of the Mariners Card, and of the making thereof. Chapter. 27.

The shape and figure of the first liniaments of the Mariners Carde drawne after the olde maner, and how to set downe the places of the land or sea therein. Chapter. 28.

A Table to drawe there by the parallelles in the Mariners Carde together with the vse thereof in trewer sort than they haue bene drawne heretofore, and the vse thereof. Chapter. 29.

The draught of the Meridians and parallels of the Mariners Carde or nauticall Planispheare according to the former Table.

The chiefest vses of the Mariners Carde. Chap. 31.

How to know the way of your ship, and how many leagues are to be counted for one degree of Latitude in euerie Rombe whereby you sayle. Chap. 32.

Howe to account the leagues in sayling directly East or West without changing the latitude or altitude of the pole. Chap. 33.

A Table to help you to know what way your ship hath made in sayling right East or West without changing your Latitude, together with a briefe description and vse thereof.

An example of counting the way of your shippe in sayling right west. Chap. 35.

Another example of counting the way of your shippe in sayling right East. Chap. 36.

To knowe how much you goe out of your way in sayling by one wrong rombe or by more. Chap. 37.

Of the North starre, otherwise called the loadstarre, and of his guardes, and how to know the same. Chap. 38.

The vses of the North starre, and of his guardes. Chapter. 39.

To knowe by helpe of a little Table made according to the Mariners rule touching the 8. principall rombes, shewing how and when the Lodestarre is either aboue or beneath the Pole, that you may knowe thereby the true altitude of the Pole in taking the height of the Lodestarre with your Astrolabe or crosse staffe. chap. 40. Chapter 40.

How to make an Instrument which wil shew at any houre of the night how much the Lodestar is either aboue or beneath the Pole in everie other rombe as well as in the 8. principall rombes, which are only contained in the former Table, and also the true houre of the night, the shape whereof followeth. Chapter 41.

How to know by the foresaid twofold instrument as wel the mounting and descending of the North star as the true houre of the night both at one instant and also the elevation of the Pole, Chapter 42.

What starres are observed by those that sayle beyond the Equinoctiall vnder the South Pole. Chapter. 43.

Of the Sunne, and of his motion, and of the chiefest appa∣rances belonging to him. Chapter 44.

A Table shewing the declination of the Sunne euerie day throughout the yeare, and the vse thereof. Chapter 45.

Of the foure seasons of the yeare, that is, Spring time, Sum∣mer, fall of the leafe, called otherwise Autumne, and winter. Chap. 46.

How to knowe when the Sunne riseth and setteth in everie latitude, and thereby the length of the day and night, and al∣so in what rombe or wind he riseth and setteth, and how much he declineth everie day from the Equinoctiall either North∣ward or Southward. Also howe to know the elevation of the Pole, otherwise called the latitude of any place, by knowing the Meridian altitude of the Sunne, and his declination. Chap. 47.

Of the shaddow of the Sunne, and how to know therby the houre of the day in any latitude by help of an vniversall diall. Chap. 48.

Of the Moone and of all her diuers motions. Chap. 49.

How to knowe in what signe the point Auge of the Moone is in any yeare. Chap. 50.

When the Moone is saide to be in Coniunction with the Sunne, or to be at the full, and what her greatest latitude is as∣well from the Ecliptique line, as from the Equinoctiall. Chap. 51.

How to know in what part of the Zodiaque the head of the Dragon is euerie yeare. Chap. 52.

How to know the tydes in any place by the Moone. Chap. 53.

How to know by helpe of an instrument the tydes at any place. Chap. 54.

How a generall Rutter shewing the tydes in al places should be made. Chap. 55.