The mariners magazine, or, Sturmy's mathematical and practical arts containing the description and use of the scale of scales, it being a mathematical ruler, that resolves most mathematical conclusions, and likewise the making and use of the crostaff, quadrant, and the quadrat, nocturnals, and other most useful instruments for all artists and navigators : the art of navigation, resolved geometrically, instrumentally, and by calculation, and by that late excellent invention of logarithms, in the three principal kinds of sailing : with new tables of the longitude and latitude of the most eminent places ... : together with a discourse of the practick part of navigation ..., a new way of surveying land ..., the art of gauging all sorts of vessels ..., the art of dialling by a gnomical scale ... : whereunto is annexed, an abridgment of the penalties and forfeitures, by acts of parliaments appointed, relating to the customs and navigation : also a compendium of fortification, both geometrically and instrumentally / by Capt. Samuel Sturmy.

About this Item

Title
The mariners magazine, or, Sturmy's mathematical and practical arts containing the description and use of the scale of scales, it being a mathematical ruler, that resolves most mathematical conclusions, and likewise the making and use of the crostaff, quadrant, and the quadrat, nocturnals, and other most useful instruments for all artists and navigators : the art of navigation, resolved geometrically, instrumentally, and by calculation, and by that late excellent invention of logarithms, in the three principal kinds of sailing : with new tables of the longitude and latitude of the most eminent places ... : together with a discourse of the practick part of navigation ..., a new way of surveying land ..., the art of gauging all sorts of vessels ..., the art of dialling by a gnomical scale ... : whereunto is annexed, an abridgment of the penalties and forfeitures, by acts of parliaments appointed, relating to the customs and navigation : also a compendium of fortification, both geometrically and instrumentally / by Capt. Samuel Sturmy.
Author
Sturmy, Samuel, 1633-1669.
Publication
London :: Printed by E. Cotes for G. Hurlock, W. Fisher, E. Thomas, and D. Page ...,
1669.
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"The mariners magazine, or, Sturmy's mathematical and practical arts containing the description and use of the scale of scales, it being a mathematical ruler, that resolves most mathematical conclusions, and likewise the making and use of the crostaff, quadrant, and the quadrat, nocturnals, and other most useful instruments for all artists and navigators : the art of navigation, resolved geometrically, instrumentally, and by calculation, and by that late excellent invention of logarithms, in the three principal kinds of sailing : with new tables of the longitude and latitude of the most eminent places ... : together with a discourse of the practick part of navigation ..., a new way of surveying land ..., the art of gauging all sorts of vessels ..., the art of dialling by a gnomical scale ... : whereunto is annexed, an abridgment of the penalties and forfeitures, by acts of parliaments appointed, relating to the customs and navigation : also a compendium of fortification, both geometrically and instrumentally / by Capt. Samuel Sturmy." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A61915.0001.001. University of Michigan Library Digital Collections. Accessed June 15, 2024.

Pages

Page [unnumbered]

AN INDEX, SHEWING, The CONTENTS of the SEVEN BOOKS OF THE MARINER'S MAGAZINE.

BOOK I.
  • THe Description of Navigation in general. Page 1
  • Of what is needful first to be known in the Practick Part: And of the Compass; and how to divide the Circles and Parts. Page 3
  • The Moon's Motion, and the Ebbing and Flowing of the Sea. Page 6
  • The making a most useful Instrument for the Moon. ibid.
  • The Variation Compass, and the Ʋse thereof, in 10 Propositions. ibid.
  • The finding the Golden Number, or Prime, and Epact, according to the English Accompt, and all other things relating to the Moon and Tides, Arithmeti∣cally. Page 9
  • The Practick Part of Navigation, in Working a Ship in all Weathers and Conditions at Sea. Page 15, to 22
  • Geometrical Definitions. Page 22
  • Geometrical Problems. Page 28, to 43
BOOK II.
  • THe Argument, and Description of Instruments in general. Page 45
  • A Description of the Fundamental Diagram, and Tables for the making of the Lines of Chords and Rumbs, as also of Sines, Tangents, and Secants Natural, on the Scale; and of what Instruments you must be pro∣vided with before you can make Instruments for Mathematical Ʋses. Page 47
  • The Explanation of the other half of the former Semicircle, being a Descri∣ption of the Fundamental Diagram of the Dialling Scale on the Mathema∣tical Ruler; with a Table for the dividing of the Hours and Minutes on the same; a Table for the dividing of the Gnomon-line on the Scale, called by some a Line of Latitudes, as also a Table of Tangents for five Hours, to every five Minutes of an Hour, for the inlarging the Hour-line Scale. Page 55
  • The Scales or Lines on the back-side of the Mathematical Ruler, viz. A Line of Artificial Numbers, with a Table how to make the same; A Table of Artificial Tangents, and how to make the Line; as also a Table of Artifi∣cial

Page [unnumbered]

  • Sines; The making of Mercator's Meridian Line, by our Table of Meridional Parts, in Leagues and 10 parts of a League: And the Aequi∣noctial is the Line of Equal parts, by which the Table of Numbers were taken out, and the Lines made by. Page 58
  • How to calculate and make a Table for the Division of the Scale of Reduction, and the use thereof. Page 62
  • A Table for the division and making of the Artificial Rumbs, or Points, Halfs, and Quarters, on the Traverse Scale. Page 63
  • How to make a Quadrant, which will resolve many Questions in Astronomy by the help of an Index, and also very useful in Navigation; with the Ʋse thereof in Astronomy and Navigation, in seven Sections. Page 64
  • To find how many Leagues do answer to every Rumb and Quarter, in six Pro∣positions in Navigation. Page 70
  • How to make a useful Protractor. Page 71
  • The Projection of the Nocturnal, and the Ʋse thereof by the North Star. Page 73
  • How to use the Pole Stars Declination, and thereby to get the Latitude, with the Table. Page 74
  • How to make a most useful Instrument of the Stars on the back side of the No∣cturnal, and by it to know most readily when any of 31 of the most notable Stars will come to the Meridian, what Hour of the Night at any time of the Year, at the first sight; with a Table of the Longitude and Latitude from the beginning af the Year 1671; with the Right Ascension and Declina∣tion of 31 of the most notable fixed Stars, Calculated from Tycho his Ta∣bles, Rectified from the Year of our Lord 1671. Page 76
  • The Ʋse of the most useful Instrument of the Stars, how to know the Hour of the Night any Star comes to the Meridian in any Latitude; and how to know what Stars are in Course at any Time or Day of the Year. Page 77
  • The Description and Ʋse of 3 Stars called the Crosiers. Page 78
  • A Description of the making of the Cross-staff, and how to use the same fully. Page 79, to 85
  • A Description and Ʋse of the Quadrant or Back-staff, in six Propositions, de∣claring the Ʋse thereof in all Observations. Page 85
  • The Description and Ʋse of the most useful Quadrant for the taking of Alti∣tudes of the Sun or Stars, on Land or Sea, backwards or forwards, or any other Altitude of Hills, Trees, Castles, or Things whatsoever. Page 92
  • A Constant Kalendar or Almanack for 300 Years; but more exactly serving for 19 Years, being the Circle of the Moon, or the Golden Number; with new exact Tables of the Suns Declination, rectified by the best Hypothesis until the Leap-years, and the Ʋse thereof. Page 101, to 122
BOOK III.
  • CHAP. I. OF the Nature and Quality of Triangles. Page 123
  • CHAP. II. Containing the Doctrine of the Dimensions of Right-lined Triangles, whether Right-angled or Oblique-angled; and the several Cases therein resolved, both by Tables, and also by the Lines of Artificial Numbers, Sines, and Tangents. Page 125
    • CASE I. In a Right-angled Plain Triangle, the Base and the Angle at the Base being given, to find the Perpendicular, Page 126

Page [unnumbered]

  • ...
    • CASE II. The Base aad the Angle at the Base being given, to find the Hy∣pothenusal. Page 127
    • CASE III. The Hypothenusal and Angle at the Base being given, to find the Perpendicular. Page 128
    • CASE IV. The Hypothenusal and Angle at the Base being given, to find the Base. Page 129
    • CASE V. Let the Perpendicular be the Difference of Latitude 253 Leagues, and the Angle at C be S W b W 1 deg. 45 min. Westerly, or 58 deg. let it be given to find the Hypothenusal. Page 129
    • CASE VI. The Hypothenusal or Distance sailed, the Perpendicular of Diffe∣rence of Latitude given, to find the Rumb. Page 130
    • CASE VII. The Hypothenusal, and the Parallel of Longitude, and the Ra∣dius given, to find the Rumb or Course sailed. ibid.
    • CASE VIII. Having two Angles and a Side opposite to one of them given, to find the Side opposite to the other. Page 131
    • CASE IX. Two Sides and an Angle opposite to one of them being given, to find the Angle opposite unto the other. Page 132
    • CASE X. Having two Sides and the Angle contained by them given, to find either of the other Angles. ibid.
    • CASE XI. Two Sides and their contained Angle given, to find the third Side, Page 134
    • CASE XII. Three Sides of an Oblique Triangle being given, to find the Angles. ibid.
BOOK IV.
  • CHAP I. OF Sailing by the Plain Chart, and the Ʋncertainties there∣of; and of Navigation, with its parts. Page 137
    • Questions of Sailing by the ordinary Sea-Chart. Page 140
  • CHAP. II. Declaring what must be observed by all that keep Accompt of a Ships way; and to find the true Point of the Ship at any time, according to the Plain Chart. Page 144
    • Directions how we do keep our Reckonings at Sea by the Log-board, and also by our Journal Book. Page 145
  • CHAP. III. A formal and exact way of setting down and perfecting a Sea-Reckoning. Page 147
    • A Traverse-Table for every Point, Half-Point, and Quarter-Point of the Compass, to the hundredth part of a League or Mile, which gives the Difference of Latitude and Departure from the Meridian. Page 149
    • Examples and Ʋse of the Tables, with a Journal from Lundy to Barbadoes by the Plain Chart. Page 153
    • The Plain Sea-Chart, and how to make it, and the Ʋse thereof. Page 156
  • CHAP. IV. How to correct the Accompt when the Dead Latitude differs from the Latitude by Observation. Page 157
  • CHAP. V. How to allow for known Currents, in estimating the Ships Course and Distance. Page 159; 160
  • CHAP. VI. Curious Questions in Navigation, and how to resolve them Ge∣ometrically and by Calculation. Page 161
  • CHAP. VII. The disagreement betwixt the ordinary Sea-Chart and the

Page [unnumbered]

  • Globe; and the agreement betwixt the Globe and the True Sea-Chart, made after Mercator's way, or Mr. Edward Wright's Projection; with the use thereof. Page 166
    • A Table of Meridional Parts to the tenth part of a League, and for every 10 Minutes of Latitude, from the Aequinoctial to the Poles, with the use thereof in Mercator's Sailing, Geometrically and by Calculation. Page 169
  • CHAP. VIII. How to divide a Particular Sea-Chart according to Mercator and Mr. Wright's Projection. Page 174
  • CHAP. IX. The Projection of the Meridian-line by Geometry; and how to make a Scale of Leagues for to measure Distances in any Latitude. Page 184, 185
  • CHAP. X. The way of Sailing by a Great Circle. Page 176
  • CHAP. XI. How to find the true distance of Places, one of them having no Latitude, the other having Latitude and Difference of Longitude less than 180 deg. To find (1) Their Distance in a Great Circle, (2) The direct Position of the first Place from the second, (3) And the second Place from the first. Page 179
  • CHAP. XII. The Description of the Globe in Plano, and the several Con∣clusions wrought thereby. Page 189
  • CHAP. XIII. To Calculate the Arch of a Great Circle for every fifth or tenth Degree of Latitude or Longitude. Page 192
  • CHAP. XIV. How by the Scale of Tangents to make a part of the Globe in Plano, whereby you may trace out the Latitudes to every Degree of Longi∣tude, or every 5 or 10 Degrees, as neer as you will desire, without Calcu∣lation. Page 193
  • CHAP. XV. By the Latitude, and Difference of Longitude from the Obli∣quity, to find the true Great Circles Distance. Page 196
  • CHAP. XVI. How to make the Truest Sea-Chart, and the Ʋse thereof in Mercator's and Great Circle Sailing, called a General Chart. Page 200
  • CHAP. XVII. How to keep a true and perfect Sea-Journal by Plain Sailing and the True Sea-Chart, together with the Explanation thereof. Page 202
  • CHAP. XVIII. A Description of the Table of the Latitude and Longitude of Places, and the way how to find both. Page 206
BOOK V.
  • CHAP. I. THe Art of Surveying Land by the Azimuth or Amplitude Compass, with the Description thereof; as also the Staff and Chain, with the Ʋse thereof. Page 1
    • How to measure a Square piece of Ground. Page 4
    • To measure a Long Square piece of Ground by the Line of Numbers and Arith∣metick. Page 5
    • How to measure a Triangular piece of Ground. Page 6
    • How to measure a piece of Ground of four unequal Sides, called a Trapezia. ibid.
    • How to measure a piece of Ground being a perfect Circle. Page 7
    • How to measure an Oval piece of Ground. Page 8
    • How to measure a piece of Ground lying in form of a Sector. ibid.
    • To measure a piece of Ground being a Segment or part of a Circle. Page 9
    • Having the Content of a piece of Ground in Acres, to find how many Perch of that Scale was contained in one Inch whereby it was Plotted. ibid.

Page [unnumbered]

  • CHAP. II. How to take the Plot of a Field at one station, taken in the mid∣dle thereof, by the Compass. Page 11
  • CHAP. III. How to take the Plot of a Field at one station, taken at any Angle thereof. Page 13
  • CHAP. IV. How to measure an Irregular piece of Ground, by reducing the Sides into Triangles and Trapezia's, and how to lay it down in your Field-Book. Page 14
  • CHAP. V. How to take the Height of Tenariffe, or any other Island or Mountain. Page 18
  • CHAP. VI. How to find the distance of a Fort or Castle, or the breadth of a River, by two stations, with the Quantity of the Angle at each sta∣tion. Page 21
  • CHAP. VII. How to take the distance of divers Places one from another, and to protract as it were a Map thereof by the Compass and Plain Scale. Page 24
  • CHAP. VIII. The Art of Gauging of Vessels by the Line of Numbers, and the Lines on the Gauging Rod or Staff, and by Arithmetick. Page 26
    • The true Content of a solid Measure being known, to find the Gauge-point of the same Measure. ibid.
    • The Description of the Gauging Rod or Staff. Page 27
    • The Description of Symbols of Words for brevity in Arithmetick. ibid.
    • How to measure a Cubical Vessel. Page 28
    • How to measure any square Vessel. ibid.
    • How to measure a Cylinder Vessel. Page 29
    • How to measure a Vessel in form of a Globe. ibid.
    • How to measure a Barrel, Pipe, But, Puncheon, Hogshead, or small Cask. ibid.
    • How to find the Quantity of Liquor in a Cask that is part full. Page 31
    • How to measure a Brewers Tun or Mash-vat. Page 32
    • How to measure a Cone Vessel. Page 33
    • How to measure a Segment of a Globe or Sphere. Page 34
    • How to reduce Ale-measure into wine, and likewise to reduce Wine-gallons in∣to Ale. ibid.
    • How to measure a Brewers Oval Tun. ibid.
  • CHAP. IX. Wherein is shewed, How to measure exactly all kinds of Plain Superficies, both by Arithmetick and Instrumentally. Page 36
    • How to measure a wall of an House in form of a long Square. ibid.
    • How to measure Boards, Glass, Pavement, Wainscot, and the like. Page 38
    • How to measure solid Bodies, as Timber and Stone. ibid.
    • To find how many Inches in length will make one Foot of Timber, being alike in the Squares. Page 39
    • How to measure a Cylinder or a Tree whose Diameters at the ends be equal. Page 40
    • How to measure a round piece of taper Timber. Page 41
    • How to measure a Pyramidal piece of Timber. ibid.
    • How to measure a Conical piece of Timber. Page 42
    • How to find the Burden of a Ship. Page 43
    • The Ʋse of the Line of Numbers in Reduction and the Rule of Three. Page 44
  • ...CHAP. X.
    • Sect. 1. The Art of Gunnery, by a New-invented, Ʋseful, and Portable Scale. Page 45
    • Sect. 2. The Qualifications each Gunner ought to have, and his Duty and Of∣fice. ibid.
    • Sect. 3. The Description and Ʋse of the Gunners Scale on both Sides. Page 47

Page [unnumbered]

  • ...
    • Sect. 4. The Ʋse of the Line of Numbers on the edge of the Scale, for the help of such as cannot extract the Square and Cube Roots. Page 49
    • Sect. 5. As likewise, how by the Logarithm Tables and Addition and Substracti∣on, to Resolve with wonderful ease all Conclusions in the Art of Gunnery. Page 50
    • Sect. 6. The Geometrical finding the Diameter for the weight of any Shot as∣signed. Page 51
    • Sect. 7. How to find what Proportion is between Bullets of Iron, Lead, and Stone; by knowing the weight of one Shot of Iron, to find the weight of another Shot of Lead, Brass, or Stone, of the like Diameter. Page 53
    • Sect. 8. How by knowing the weight of one Piece or Ordnance, to find the weight of another Piece of the same shape, and the same Metal, or any other Metal. Page 54
    • Sect. 9. How to make a Shot of Lead and Stone in the same Mold, of the same Diameter as the Iron Shot is of. Page 55
    • Sect. 10. How by knowing what Quantity of Powder will load one Piece of Ordnance, to know how much will load any other Piece whatsoever. Page 56
    • How to make the true Dispart of any true boared Piece of Ordnance, or other∣wise, to know whether the Piece be Chamber-boared. Page 57
    • To know what Diameters every Shot must be of to fit any Piece of Ordnance. Page 58
    • To find what Flaws, Cracks, or Honey-combs are in any Piece of Ordnance; and likewise to find whether a Piece of Ordnance be true boared, or no. ibid.
    • Of Iron Ordnance, what Quantity of Powder to allow for their Loading; and what Powder to allow for Ordnance not true boared. Page 61
    • How Molds, Forms, and Cartrages are to be made for any sort of Ordnance. Page 63
    • How to make Ladles, Rammers, Sponges, for all sorts of Ordnance; and how the Carriage of a Piece should be made. ibid.
    • How much Rope will make Britching and Tackle for any Piece. Page 64
    • What Powder is allowed for Proof, and what for Action. ibid.
    • The difference between common Legitimate Pieces, and Bastard Pieces. ibid.
    • How Powder is made, and the several ways to know when it is decaying. Page 65
    • How to make excellent good Match; and how to make Powder that it shall not waste with Time, and how to make good that which is bad, and how to make Powder of divers Colours. Page 66
    • Several sorts of Saltpetre, and how to make an excellent sort, very easie, and less Charge; and how to load and fire a Piece of Ordnance like an Artist. Page 67
    • The difference of shooting by the Metal, and by a Dispart, by Right Ranges, and at Random; with the Figures thereof, Page 68
    • How to make a good Shot to any place assigned; out of any Gun. Page 70
    • How to make an effectual Shot out of a Piece of Ordnance at Random. Page 72
    • How to find the Right Line or Range of any Shot discharged out of any Piece, for every Elevation, by one Right or Dead Range given for the Piece assign∣ed: And to know how much of the Horizontal Line is contained under the Right Line of any Shot made out of any Piece, at any Elevation. Page 74
    • Of the violent, crooked, and natural Motion or Course of a Shot, discharged out of any Piece of Ordnance assigned. Page 75
    • How to make a Gunners Ruler, and how to divide the same, by the help of a Table, fitting it for any Piece; and how to give Level with the Gunners Ruler at any Degree of Random. Page 76
    • How to give Level to a Piece or Ordnance without the Gunners Rule. Page 78
    • How to make a Shot at the Enemies Light in the Night. Page 79

Page [unnumbered]

  • ...
    • How to shoot perfectly at a Company of Foot or Horse, or a Ship under sail. P. 79
    • How the same Powder in weight shall carry the Shot more close or scattering: And how a Shot that sticketh fast within the Concavity of the Piece, that cannot be driven home, may be shot out without any harm to the Gunner; and what difference there is in shooting out of one Piece several Shots to∣gether. ibid.
    • Sect. 46. How to weigh Ships that are sunk, or Ordnance under Water; or to know what empty Cask will carry any sort of Ordnance over a River. Page 80
    • How many Oxen, Horses, or Men, will serve to draw a Piece of Ordnance. Page 81
    • How Gunners may take a Plot of their Garrison, and every Object therein, or neer it. ibid.
  • ...
    ARTIFICIAL FIRE-WORKS.
    • A Description of the Mortar-piece: How to make one of Wood and Paste-board: How to fit and prepare Granadoes for the Mortar-piece: How to make Fuces. Page 83
    • How to make Granadoes of Canvas for the Mortar-piece; and how Granadoes are to be charged in a Mortar-piece, and fired. Page 84
    • How to make Hand-granadoes, to heave by Hand. Page 85
    • How to make Fiery Arrows or Darts, like Death-Arrows Heads. ibid.
    • How to make Fiery Pots of Clay, and Powder Chests. Page 86
    • How to make Artificial Fire-works for Recreation and Delight. ibid.
    • How to make Composition for Rockets of any size, and how to fire them. Page 87
    • How to make Fiery Serpents and Rockets that will run upon a Line, and return again; and how to make Fire-wheels, as some call them, Girondels. Page 88
    • How to make divers Compositions for Stars, and the Ʋse of them. Page 89
    • How to represent divers sorts of Figures in the Air with Rockets. ibid.
    • How to make Silver and Golden Rain, Fire-Lances, and Balloons for the Mor∣tar-piece; and the Figures of the most useful sorts of Fire-works, and the Explanation thereof. Page 90
    • Most Precious Salves for Burning by Fire. Page 91
BOOK VI.
  • THe Projection of the Sphere by Tangents and half Tangents. Page 94
  • The Rudiments of Astronomy put into plain Rimes. Page 95
  • The Definitions of the Circles of the Sphere, and Imaginary Circles, which are not described in a Material Sphere or Globe. Page 97
  • The Projection of the Sphere in Plano, represented by the Analemna; and the Points and Circles before described in a Convex and a Concave Sphere, by Chords and Sines, and likewise resolved by Chords and Tangents. Page 101
    • How to Calculate the Suns true Place, and the Table of his mean Motion. Page 105
    • Probl. 2. The Suns distance from the next Aequinoctial Point, and his great∣est Declination being given, to find the Declination of any Point required. Page 107
    • Probl. 3. Having the Suns greatest Declination, and his distance from the next Aequinoctial Point, to find his Right Ascension. Page 108
    • Probl. 4. The Elevation of the Pole and Declination of the Sun being given, to find the Ascensional Difference. Page 109

Page [unnumbered]

  • ...
    • Probl. 5. The Suns Right Ascension, and his Ascensional Difference being given, to find his Oblique Ascension and Descension. Page 110
    • Probl. 6. To find the time of Sun-rising and setting, with the length of the Day and Night. ibid.
    • Probl. 7. The Elevation of the Pole and the Declination of the Sun being gi∣ven, to find his Amplitude, and by it to know the Variation. Page 111
    • Probl. 8. Having the Latitude of the Place and the Suns Declination, to find when the Sun comes to the due East and West. Page 112
    • Probl. 9. The Elevation of the Pole and the Declination of the Sun being gi∣ven, to find the Suns Altitude when he comes due East and West. ibid.
    • Probl. 10. The same being given, to find his Altitude at the hour of six. Page 113
    • Probl. 11. The same being given, to find his Azimuth at the hour of six. ib.
    • Probl. 12. Having the Latitude of the Place, and the Suns Declination and his distance from the Meridian being given, to find the Suns Altitude at any time assigned. Page 114
    • Probl. 13. The Latitude of the Place, and the Suns Altitude and Declination being given, to find the Suns Azimuth, and by it how to find the Vari∣ation. Page 118
    • Probl. 15. How to find the Altitude of the Sun by the Shadow of a Gnomon set perpendicular to the Horizon, by Scale and Compass, as also by Calculation. Page 122
    • Probl. 16. Having the Latitude of the Place, the Declination of the Sun, and the Suns Altitude, to find the hour of the day, Page 123
    • Probl. 17. Having the Azimuth of the Sun, and his Altitude, to find the hour of the day. Page 124
    • Probl. 18. How to find the Right Ascension of a Star, and the Declination of a Star, having the Longitude and Latitude of the Star given. ibid.
    • Probl. 19. Having the Declination and Right Ascension of a Star, to find the Longitude and Latitude thereof. Page 126
    • Probl. 20. Having the Meridian Altitude of an unknown Star, and the di∣stance thereof from a known Star, to find the Longitude and Latitude of the unknown Star. Page 128
    • Probl. 21. To find the Parallax of Altitude of the Sun, Moon, and Stars. Page 131
BOOK VII.
  • THe Fundamental Diagram of the Dialling Scale, and the Argument. P. 1
  • The Preface of the kinds of Dials, and Theorems premised. Page 2
  • How to make the Polar or Aequinoctial Dial, and how to place it. Page 5
  • How to make the Aequinoctial Dial, or Polar Plane, Geometrically, and by Cal∣culation. Page 8
  • How to make the East Aequinoctial Dial, or the West, Lat. 51 d. 30 m. Page 9
  • How to make a Vertical Horizontal Dial. Page 11
  • How to make a South inclining 23 deg. in Latitude 51 d. 30 m. Page 14
  • How to observe the Declination of any Declining Plane. Page 15
  • How to take the Declination of any Wall or Plane, without the help of a Needle or Load-stone. Page 16
  • How to make a Declining Horizontal Dial, or South erect declining from the South Eastward. Page 17

Page [unnumbered]

  • To find how much time the Substiler is distant from the Meridian, or Inclina∣tion of Meridians, Geometrically and by Calculation. Page 18
  • How to draw the Hour lines in a Declining Horizontal Plane, or South Erect declining 32 d. 30 m. from the South Eastward. Page 19
  • How to observe the Reclination or Inclination of any Plane. Page 21
  • How to draw Hour-lines in all Declining Reclining Inclining Planes. ibid.
  • How to describe the Sphere or Diagram. Page 22
  • How to make a North or South Reclining Dial Page 23
  • How to make an East and West Reclining or Inclining Dial. Page 25
  • How to find the Arches and Angles that are requisite for the making of the Re∣clining Declining Dials. Page 27
  • How to draw the Reclining Declining Dial. Page 30
  • How to find the Horary distance of a Reclining Declining Dial. Page 31
  • How to know in what Country any Declining Dial shall serve for a Vertical. Page 33
  • How to find the Arches and Angles which are requisite in a North Decliner Re∣cliner, and a South Decliner Incliner. ibid.
  • How to draw the Declining Inclining Dial. Page 36
  • How to know the sundry sorts of Dials in the Fundamental Diagram of the Sphere. Page 37
  • How other Circles upon the Sphere may be described upon Dials, besides the Me∣ridians. Page 38
  • How to describe on any Dial the proper Azimuths and Almicantars of the Plane. Page 39
  • How to deal with Declining, Reclining, or Inclining Planes, where the Pole is but of small Elevation. ibid.
  • How to inlarge the Hours of any Plane. Page 40
  • How to make a Vertical Dial upon the Cieling of a Floor within doors, where the direct Beams of the Sun never come. Page 42
  • A Table for the Altitude of the Sun in the beginning of each Sign, for all the Hours of the Day, for the Latitude of 51 d. 30 m. Page 44
  • How to make an Ʋniversal Dial on a Globe, and how to cover it if need re∣quires. Page 45
  • How to make a North Dial for the Cape of Good Hope, in South Latitude 35 deg. and Longitude 32 deg. 54 min. to the Eastward of the Meridian of the Lizard. Page 46
  • How to find the Hour of the Night by the Moon shining upon a Sun dial. Page 48
  • How to find the Hour of the Day or Night by a Gold Ring and a Silver Bowl, or Brass, Glass, or Iron Vessel. ibid.
  • How to Paint the Dials that you make, and fasten the Gnomons in Wood or Stone. Page 49
  • The Ʋse of the Tables of Artificial Sines and Tangents. Page 50
  • The Ʋse of the Logarithme Numbers. Page 51
  • Next follow the Tables.
  • After them is an Abridgment of Custom-Laws in Navigation.
  • And last of all is annexed, A Compendium of Fortification both Geometrically and Instrumentally.
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