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.
- 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.
- Rights/Permissions
-
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- Link to this Item
-
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- Cite this Item
-
"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 16, 2024.
Contents
- title page
-
To the most August and Most Serene MAJESTY OF CHARLES II. King of
Great-Britain, France, andIreland, Defender of the Faith,&c. -
To the Honourable SOCIETY of MERCHANT-ADVENTURERS Of the CITY of BRISTOL. TO THE MASTER, WARDENS, and ASSISTANTS OF THE SAID SOCIETY. To my Honoured Friends Sir
Robert Cann and SirRobert Yeomans, Knights and Baronets, SirHumfry Hooke, SirHenry Creswick, SirJohn Knight, and SirThomas Langton, Knights,John Willoughby andJohn Knight, Esquires. -
To my much Honoured Patron, Sir
JOHN SHAW Knight and Baronet: And to the rest of the Honourable FARMERS OF HIS MAJESTIES CUSTOMS, SirJohn Wolstenholme, SirRobert Vyner Knights and Baronets; SirEdmond Turner Knight,Edward Backwell andFrancis Millington Esquires. External, Internal, and Eternal Happiness be wished. - TO THE Courteous Reader.
-
To his Ingenious and Industrious Friend Capt.
SAMUEL STURMY. A double Acrostick. -
To His Worthy Friend the Author Captain
SAMUEL STURMY. On his BOOK Entituled, The MARINER'S MAGAZINE. -
To his Judicious Friend the Author Capt.
SAMUEL STURMY, ON HIS MAGAZINE of ARTS. -
In Praise of his Dear Friend the Author, for his ART, Capt.
SAMUEL STURMY. - The AUTHOR to HIS BOOK.
- THE AUTHOR'S COMPLAINT.
- AN INDEX, SHEWING, The CONTENTS of the SEVEN BOOKS OF THE MARINER'S MAGAZINE.
-
TO THE Truly Industrious, and Highly Deserving of
English-men CaptainSAMUEL STURMY. On his Excellent and Elaborate Treatise, Entituled, THE MARINERS MAGAZINE,&c. - A FRIENDLY ADVERTISEMENT TO THE Navigators and Mariners of ENGLAND.
- ERRATA.
- notice
- THE AUTHOR Implores Aid of GOD'S EVERLASTING FOUNTAIN.
- scale
-
The Compleat MARINER, OR NAVIGATOR. The First Book.
-
CHAP. I. The Argument or Description of the Art ofNavigation in general. -
CHAP. II. Of what is needful first to be known in the Practick Part of theCompass, and how to divide the Circles and Parts.-
How to divide the
Circles of theMariners Compass. -
The
Moons Motion, and the Ebbing and Flowing of theSea. -
A Ʋseful Variation-Compass.-
PROPOSITION I. The Moon being16 days old, I demand upon what Point of the Compass she will be at8 of the Clock at night. - proposition - 6
-
PROPOSITION VII. The Moon being16 days old, I demand, What a Clock it will be Full-Sea atBristol, Start-point, Waterford, where an East-by-South Moon on the Change-day makes the Full-Sea? -
PROPOSITION VIII. The Moon being16 days old, I desire to know at what hour it will be Full Sea atLondon, Tinmouth, Amsterdam, andRotterdam, where a S. W. and N. E. Moon makes a Full-Sea upon the Change-day. -
PROPOSITION IX. AtYarmouth, Dover, andHarwich, where a S. S. E. Moon maketh Full-Sea on the Change-day, the Moon being9 days old, I demand the time or hour of Full-Sea that day in the aforesaid Places. -
PROPOSITION X. At St.Andrews, Dundee, Lisbone, and St.Lucas, where a South-West-and-by-South Moon makes High-Water or Full-Sea on the Change-day; The Moon being28 days old, I demand the time of Full-Sea that day in these Places.
-
-
How to find the Golden Number orPrime, according to theJulian, English, or Old Account.-
How to find the Epact, according to theJulian, English, or Old Account, and what it proceedeth from. -
A Rule to find the Change, Full, andQuarters of theMoon. -
How to finde the Age of theMoon at any time for ever. -
To finde what Sign theMoon is in, by which is gathered, what theMoon differeth from theSun. -
How to find what
Sign theMoon is in more exact; with theMoon's Motion for every day of herAge. -
To know the time of the
Moon's Rising, Southing, andSetting. -
PROP. I. How to find when it isFull-Sea in anyPort, Rode, Creek, orRiver. -
PROP. II.
The Moon 16days old, I demand, What a Clock it will be Full-Seaat Bristol, Start-point,and Waterford,where E. b. S. Moonmaketh Full-Seaon Change-day? -
PROP. III. TheMoon being25 days old, I demand, What a Clock it will beFull-Sea atLondon, Tinmouth, Amsterdam, andRot∣terdam, where it flowsS. W? -
PROP. IV. TheMoon being9 days old, I desire to know the hour ofFull-Sea atQuinborough, Southam. andPortsmouth. -
PROP. V.
The Moon 5days old, I demand the time of Full-Seaat Rochester, Malden, Blacktail,where S. b. W. Moonis Full-Sea. -
PROP. VI. TheMotion of theMoon, and the Proportion of Time betwixtTyde andTyde.
-
-
-
THE Mariners Magazine; OR,
STURMY 's Mathematical and Practical ARTS. The Practick Part ofNavigation, in working of aShip in all Weathers atSea. -
THE GEOMETRICAL DEFINITIONS.
-
I.
A Pointis that which hath no Parts. -
II.
A Lineis a supposed Length, with∣out Breadth or Thickness. -
III.
The Ends or Bounds of a Lineare Points. -
IV.
A Right Lineis the shortest of all Lines,drawn from any two of the said Points, -
V.
A Superficiesis a Longitude,having only Latitude. -
VI.
The Extremes of a Superficiesare Lines. -
VII.
A Plain Superficieslieth equally between his Lines. -
VIII.
An Angleis when two Linesare extended upon the same Superficies,so so that they touch one another in a Point,but not directly. -
IX.
A Right Angleis that which is produced of a Right Line,falling upon a Right Line,and making two equal Angleson each side the Pointwhere they touch each other. -
X.
An Obtuse Angleis that which is greater than a Right Angle. -
XI.
An Acute Angleis less than a Right Angle. -
XII.
A Limitor Termis the End of every Thing. -
XIII.
A Figureis that which is contained under one Limitor Term,or many. -
XIV.
A Circleis a plain Figurecontained under one Line,which is called a Circumference;unto which all Linesdrawn from one Pointwithin the Figure,and falling upon the Circumferencethereof, are equal one to the other. -
XV.
A Diameterof a Circleis a Right Linedrawn by the Centerthereof, and ending at the Circumference,on either side dividing the Circleinto two equal Parts. -
XVI.
A Semicircleis a Figurecontained under the Diameter,and that part of the Circumferencecut off by the Diameter. -
XVII.
A Sectionor Portionof a Circle,is a Figurecontained under a Right Line,and a part of the Circumference,greater or less than a Semicircle. -
XVIII. Right-lined Figures
are such as are contained under Right Lines. -
XIX. Three-sided Figures
are such as are contained under three Right Lines. -
XX. Four-sided Figures
are such as are contained under four Right Lines. -
XXI. Many-sided Figures
are such a have more Sides than four. -
XXII.
All Three-sided Figuresare called Triangles. -
XXIII. Of
Four-sided Figures, AQuadrat orSquare is that whoseSides are equal, and hisAn∣gles right, as theFigure A. -
XXIV. A
Long Square is that which hath rightAn∣gles, but unequalSides, as theFigure B. -
XXV. A
Rhombus is aFigure Quadrangular, having equalSides, but not equal or rightAngles, as theFigure C. -
XXVI. A
Rhomboides is aFigure whose oppositeSides are equal, and whose oppositeAngles are also equal: but it hath neither equalSides, nor equalAngles, as theFigure D. -
XXVII. All other
Figures ofFour Sides are calledTrapezia's. -
XXVIII. Such are all of
Four Sides, in which is ob∣served no equality ofSides orAngles, as theFigures L and M, which have neither equalSides norAngles, but are described by all Adventures, without the observa∣tion of any Order. -
XXIX.
Parallel orAequi-distant Right Lines, are such which being in one and the sameSuperficies, and produced infinitely on both sides, do never in any part concur; as you may see by the twoLines AB, CD. -
XXX. A
Solid Body is that which hath Length, and Breadth, and Thickness, as aCube orDie; and the Limits and Extremes of it areSuperficies, as theFigure I. -
XXXI.
Axis is theDiameter about which theSphere orGlobe is turned. -
XXXII. The
Poles of aSphere are the Extremes or Ends of theDiame∣ter, and are terminated in theSuperficies of theSphere. -
XXXIII. A
Sphere is defined byEuclid to be made, when theDiameter of aSemi-circle remaining fixed, theSemicircle is turned about, till it be returned to the Place whence it began to move at first.
-
I.
- Geometrical Theoremes.
-
Geometrical Problems.
-
PROBLEM I. Ʋpon aRight Line given, how to erect anotherRight Line which shall be perpendicular to theRight Line given. -
PROBL. II. How to erect aPerpendicular on the end of aRight Line given. -
PROBL. III. How to let fall aPerpendicular upon anyPoint assigned, upon aRight Line given. -
PROBL. IV. How to make anAngle equal to anAngle given. -
PROBL. V. ARight Line being given, how to draw anotherRight Line which shall be parallel to the former, at any distance required. -
PROBL. VI. To divide aRight Line into any number of equal Parts. -
PROBL. VII. ARight Line being given, how to draw anotherRight Line parallel thereunto, which shall also pass through a Point assigned. -
PROBL. VIII. Having any threePoints given which are not scituated in aRight Line, How to find theCenter of aCircle which shall pass directly through the threePoints given. -
PROBL. IX. How to describe aCircle in aTriangle, that shall only touch the three Sides; and to find theCentre. -
PROBL. X. How to lay down aTriangle in aCircle, and to find theCenter of theCircle in theTriangle. -
PROBL. XI. Any threeRight Lines being given, so that the two shortest together be longer than the third, To make thereof aTriangle. -
PROBL. XII. Having aRight Line given, How to make aGeometrical Square, whoseSides shall be equal to theRight Line given. -
PROBL. XIII. TwoRight Lines being given, How to find a third which shall be in pro∣portion unto them. -
PROBL. XIV. ThreeRight Lines being given, To find a fourth in proportion to them. -
PROBL. XV. How to work theRule ofProportion by aScale of equal Parts, and such otherConclusions as are usually wrought inLines andNumbers, as in Mr.Gunter 's10 Prob. 2 Chap. -
PROBL. XVI. To divide aRight Line given, into two parts, which shall have such pro∣portion one to the other as two givenRight Lines. -
PROBL. XVII. How to divide aTriangle into two parts, according to any proportion as∣signed, by aLine drawn from anyAngle thereof; and to lay the les∣ser part unto any Side assigned. -
PROBL. XVIII. TheBase of theTriangle being known, To perform the foregoingProblem Arithmetically. -
PROBL. XIX. How to divide aTriangle (whoseArea orContent is known) into two Parts, by aLine drawn from anAngle assigned, according to any Proportion required. -
PROBL. XX. How to divide aTriangle given into two parts, according to any Propor∣tion assigned, by aLine drawn from aPoint limited in any of the Sides thereof; and to lay the greater or lesser part towards anyAngle assigned. -
PROBL. XXI. To perform the foregoingProblem Arithmetically. -
PROBL. XXII. How to divide aTriangle (whoseArea orContent is known) into two Parts, by aLine drawn from aPoint limited, into any Side thereof, according to any number ofAcres, Roods, andPerches. -
PROBL. XXIII. How to divide aTriangle according to any Proportion given, by aLine drawn parallel to one of theSides given. -
PROBL. XXIV. To perform the foregoingProblem Arithmetically. -
PROBL. XXV. To divide aTriangle of any known Quantity into two Parts, by aLine Parallel to one of theSides, according to any Number ofAcres, Roods, andPerches. -
PROBL. XXVI. From aLine given, To cut off any Parts required. -
PROBL. XXVII. To find, aMean Proportional between twoLines given. -
PROBL. XXVIII. How to finde twoLines, which together shall be equal in Power to anyLine given; And in Power the one to the other, according to any Propor∣tion assigned. -
PROBL. XXIX. How to divide aLine in Power according to any Proportion given. -
PROBL. XXX. How to enlarge aLine in Power, according to any Proportion assigned. -
PROBL. XXXI. To enlarge or diminish aPlot given, according to any Proportion required. -
PROBL. XXXII. How to make aTriangle which shall contain any Number ofAcres, Roods, andPerches, and whoseBase shall be equal to any (possible)Num∣ber given. -
PROBL. XXXIII. How to reduce aTrapezia into aTriangle, by aLine drawn from anyAngle thereof.
-
-
How to divide the
-
-
THE Mariners Magazine; OR,
STURMY 's Mathematical and Practical ARTS. The Second Book.- The ARGUMENT.
-
A DESCRIPTION OF INSTRUMENTS. CHAP. I.
Of Instrumentsin general. -
CHAP. II. ADescription of whatInstruments ofBrass, Steel, Iron, andWood, you must be provided with before you can makeInstruments forMathe∣matical Uses. -
CHAP. III. TheExplanation of the other half of the formerSemicircle; being aDe∣scription of theFundamental Diagram, of theDialling-Scale on theMa∣thematical Ruler. -
CHAP. IV. TheScales orLines on the Back-side of theMathematical Ruler, are these: ALine ofNumbers, ALine ofArtificial Tangents, ALine ofSines, AMeridian Line according toMercator 's or Mr.Wright 's Projection; and theScale ofEqual Parts, by which theNumbers were taken off for the Graduating theseScales; and aLine ofLongitude orEquinoctial, with aScale ofReduction, as followeth.- part - 1
-
II. How to make theLine ofArtificial Tangents on theRuler. -
III. ATable for the Division of theLine ofArtificial Tangents to45 Deg. and theMinutes fit to be set thereon. -
IV. How to make theScale orLine ofArtificial Sines to90 Deg. andMinutes fit to be set thereon. -
V. How to make aMeridian Line according to the trueSea-Chard, orMercator and Mr.Wright 's Projection. -
VI. How to Calculate aTable, and by it how to take out theNumbers, and make aScale ofReduction, to be used in Surveying ofLand.
-
CHAP. V.
A Tablefor the Division of the Artificial Rhomb,or Points, Halfs,and Quarterson the Travis-Scale. -
CHAP. VI. How to make aQuadrant which will resolve many Questions inAstrono∣my, by the help of anIndex; and also very useful inNavigation. -
The Use of the
Quadrant inAstronomy. -
SECT. I. Having theLatitude of the Place of theSun's Declination, It is required to find the Time of theSun-Rising andSetting. -
SECT. II. Having theLatitude of thePlace, and the Distance of theSun from the nextAequinoctial Point, To find theAmplitude. -
SECT. III. Having the distance of theSun from the nextAequinoctial Point, To find hisDeclination. -
SECT. IV. Having theLatitude of thePlace, and theDeclination of theSun, To find theSun's trueAmplitude from the trueEast andWest. -
SECT. V. The Ʋse of theQuadrant andVariation-Compass in the First Book, on theInstrument of theMoon for shifting ofTydes. -
SECT. VI. To know theVariation by theQuadrant. -
SECT. VII. To finde the Number ofMiles answering to oneDegree ofLongitude, in each severalDegree ofLatitude. -
I. To find how manyLeagues do answer to oneDegree ofLatitude, in every severalRhomb. -
II. By oneLatitude, Rhomb, andDistance, To find the difference ofLatitudes. -
III. By theRhomb and bothLatitudes, To find the Distance upon theRhomb. -
IV. By the distance and bothLatitudes, To find theRhomb. -
V. By the difference ofMeridians, andLatitude of both Places, To find theRhomb. -
VI. By theRhomb and bothLatitudes, To find the difference ofLongi∣tude, or departure from theMeridian.
-
-
-
The Use of the
-
CHAP. VII. How to make a most ƲsefulProtractor. -
CHAP. VIII.
The Projectionof the Nocturnal. -
CHAP. IX. How to use thePole-Star's Declination andTable, and thereby to get theLatitude. -
CHAP. X. How to make a most ƲsefulInstrument of theStars, and by it to know most readily when any of31 of the most notableStars will come to theMeridian, whatHour of theNight, at any time of theYear, at the first sight. -
CHAP. XI.
Of the Crosiers. -
CHAP. XII.
How to make the Cross-Staff. -
CHAP. XIII.
How to use the Cross-Staff. -
CHAP. XIV. A Description of theBack-Staff orQuadrant. -
CHAP. XV. Directions
for Observing the Stars. -
CHAP. XVI. The Description and Ʋse of the most ƲsefulQuadrant for the takingAlti∣tudes onLand orSea, of theSun orStars, backwards or forwards, or any otherAltitude ofHills, Trees, Steeples, orCastles, or any thing what∣ever.-
PROPOSITION I.
For Back-Observationat Sea. -
PROP. II. AnyPoint being given, To find whether it be level with theEye, or not. -
PROP. III. To find theHeight of anHouse, Steeple, Tower, orTree, from the Ground, at one Observation; and the length of theLadder which will Scale it. -
PROP. IV. TheDistance being given, To find theAltitude. -
PROP. V. TheDistance being given, To find theDistance from theEye to the top of theTower. -
PROP. VI. Some part of theDistance being given, To find theDistance from theEye orHypotenuse. -
PROP. VII. Some part of theDistance being given, To find theAltitude. -
PROP. VIII. To do the same thing by theQuadrant, andScale ofEqual Parts, another way. -
PROP. IX. Part of theDistance being given, To find the Remainder of theDistance. -
PROP. X. By theHeight of theSun, and theLength of theShadow, To find theHeight of anyTree, Tower, orSteeple.
-
PROPOSITION I.
-
THE Mariners Magazine; OR, STURMY'S Mathematical and Practical ARTS. The Third Book.
-
CHAP. I. Of the Nature and Quality ofTriangles. -
CHAP. II. Containing theDoctrine of theDimensions ofRight-Lined Triangles, whetherRight-Angled orOblique-Angled; and the severalCases therein resolved, both byTables, and also by theLines ofArtificial Num∣bers, Sines, andTangents. -
Of
Right-Angled Plain Triangles. -
CASE I. In aRight-Angled Plain Triangle, TheBase and theAngle at theBase being given, To find thePerpendicular. -
A
GENERAL RULE. -
CASE II. TheBase and theAngle at theBase being given, To find theHypothenusa. -
CASE III. TheHypothenusal andAngle at theBase being given, To find thePerpendicular. -
CASE IV. TheHypothenusal andAngle at theBase being given, To find theBase. -
CASE V.
Let the Perpendicularbe the Differenceof Latitude 253 Leagues,and the Angleat C, S. W. b. W. 1 deg. 45 min. Westerly,or 58 deg.Let it be given to find the Hypothenusalor Distanceupon the Rhomb. -
CASE VI.
The Hypothenusalor DistanceSailed, and the Perpendicularor Diffe∣renceof Latitudegiven, To find the Rhombor Angle ABC. -
CASE VII. TheHypothenusal, and theParallel ofLongitude, and theRadius given, To find theRhomb orCourse Sailed.
-
-
Of
Oblique-Angled Plain Triangles. -
CASE VIII. Having twoAngles, and aSide opposite to one of them, To find theSide opposite to the other. -
CASE IX. TwoSides, and anAngle opposite to one of them being given, To find theAngle opposite to the other. -
CASE X. Having twoSides, and theAngle contained between them given, To find either of the otherAngles. -
CASE XI. TwoSides and theirContaining Angle given, To find the thirdSide. -
CASE XII. ThreeSides of anOblique Triangle being given, To find theAngles.
-
-
Of
-
-
book - 4
- THE AUTHOR TO HIS Fourth Book.
-
THE Compleat Sea-Artist; OR THE ART OF NAVIGATION. The Fourth Book.
CHAP. I. Of Sailing by thePlain Chard, and the Ʋncertainties thereof; And ofNavigation. -
The First Proposition. Questions ofSailing by the Plain, OrdinarySea-Chart. -
I. Sailing57 Leagues upon the firstRhomb, How much shall I alter myParallel ofLatitude? -
II. Sailing57 Leagues upon the firstRhomb, How far am I de∣parted from theMeridian of the Place from whence I came? -
III. Sailing upon the fifthRhomb, until I alter myLatitude 1 deg. 35 min. I demand how far I have Sailed? -
IV. Sailing upon the fifthRhomb, until I have altered myLatitude 31 67/100, or1 deg. 35 min. How much am I departed from my firstMeridian? -
V. Sailing upon someRhomb between theSouth and theWest 57 Leagues, and finding I have altered myLatitude 1 deg. 35 m. I demand upon whatPoint I have sailed. -
VI. Sailing upon someRhomb between theSouth and theWest 57 Leagues, and finding I have altered myLatitude 1 deg. 35 min. I demand myDeparture from my firstMeridian.
-
-
-
CHAP. II. What must be observed by all that keepAccount of aShip's Way atSea; And to find the truePoint of theShip at any time, according to thePlain Chart. -
CHAP. III. A Formal and Exact Way of Setting down and Perfecting aSea-Reckoning. -
CHAP. IV. How to Correct theAccount, when theDead Latitude differs from theObserved Latitude. -
CHAP. V. How to allow for knownCurrents, in Estimating theShip's Course andDistance. -
QUESTION I. AShip Sails40 Leagues more than herDifference ofLatitude, and is departed from theMeridian 80 Leagues, I demand herDiffe∣rence ofLatitude. -
QUEST. II. AShip Sails20 Leagues more than herDifference ofLatitude, and but10 Leagues more than herDeparture from theMeridian, I demand herDistance Sailed. -
QUEST. III. TwoShips Sail from onePort; The firstShip Sails directlySouth, the secondShip SailsW. S. W. more than the first by35 Leagues, and then were asunder76 Leagues; TheQuestion is, How ma∣nyLeagues eachShip Sailed. -
QUEST. IV. TwoShips Sailed from onePort: The first SailsS. S. W. a certainDistance; then altering herCourse, she Sails dueWest 92 Leagues: The secondShip Sailing120 Leagues, meets with the firstShip. I demand the secondShip's Course andRhomb, and how manyLeagues the firstShip SailedS. S. W. -
QUEST. V. TwoShips Sail from onePort 7 Points asunder: The one Sails in theS. W. Quadrant, and departs from theMeridian 57 Leagues; and the other Sailed in theS. E. Quadrant, and was departed from theMeridian but25 Leagues, and then are both fallen into oneLatitude; I demand theRhomb orCourses of eachShip. -
QUEST. VI. From thePort atA I SailS. S. W. untoB, and fromB I SailN. W. b. W. untoC, and fromC I Sailed unto my firstPort atA, E. b. N. Now having Sailed in all120 Leagues, I would know how manyLeagues I have Sailed upon eachPoint.
-
-
CHAP. VII. The Disagreement betwixt the OrdinarySea-Chart, and theGlobe; And the Agreement betwixt theGlobe and theTrue Sea-Chart, made afterMercator 's Way, or Mr.Edward Wright 's Projection.-
PROBLEM I. How to find by the followingTables whatMeridional Parts are con∣tained in anyDifference ofLatitude. -
PROBL. II. TheLatitudes of twoPlaces being given, andDifference ofLongi∣tude of bothPlaces, To find theRhomb andDistance. -
PROBL. III. TheLatitude of two Places, and theirDistance given; To find the trueCourse andPoint, orPlace you are in, byMercator 'sChart. -
PROBL. IV. Sailing1154 Leagues upon the4 ¼ Rhomb from theMeridian, or48 deg. 33 min. from theSouth Westerly, I demand theDeparture from theMeridian. -
PROBL. V. BothLatitudes and theMeridian Distance of twoPlaces being given, To find theDifference ofLongitude, andCourse andDistance on theTrue Sea-Chart. -
PROBL. VI. By theDifference ofLongitude, and oneLatitude, and theCourse, To find the otherLatitude andDistance run. -
PROBL. VII. By theCourse andDistance, and oneLatitude, To find the otherLa∣titude, and Difference ofLongitude.
-
-
CHAP. VIII. How to divide a ParticularSea-Chart, according toMercator and Mr.Wright 's Projection. -
CHAP. IX. The Projection of theMeridian-Line byGeometry, and how to make aScale ofLeagues for to measureDistances in anyLatitude. -
CHAP. X. The Way of Sailing by aGreat Circle. -
CHAP. XI. How to find the trueDistance of Places, one of them having noLatitude: The other havingLatitude andDifference ofLongitude less than180 Degrees, To find1 TheirDistance in aGreat Circle. 2 TheDirect Position of the First Place from the Second.3 And the Second Place from the First.
- The First Scituation.
- The second Scituation.
-
The Third Scituation. One Place having
North Latitude, and the other Place havingSouth La∣titude, of different Quantities, and theDifference of theirLongitudes less than90. As I omit one Place havingNorth Latitude, asLundy, 51 deg. 22 min. the otherSouth Latitude, as theRio de la Plata, 35 deg. 00 min. Difference ofLongitude betwixt them45 deg. 55 min. I demand theDistance, theAngle ofPosition, and the greatestLa∣titude orObliquity of theGreat Circle that passeth over these two Places. - The Fourth Scituation.
-
CHAP. XII. How to describe theGlobe inPlano, by theMathematical Scale. -
CHAP. XIII. ByArithmetick how to Calculate exactly for anyDegrees andMinutes ofObliquity; WhatDegree andMinute ofLatitude theGreat Circle shall pass through for anyDegree andMinute ofLongitude, from thePoint ofObliquity, or of itsIntersection with theAequinoctial. -
CHAP. XIV. How by theScale ofTangents to make a Part of theGlobe inPlano, where∣by you may trace out theLatitudes to everyDegree ofLongitude; or eve∣ry5 or10 Degrees, as neer as you will desire, without Calculation. -
CHAP. XV.
-
RULE IV.
By the Latitude,and Differenceof Longitudefrom the Obliquity,to find the true Great Circle's Distance. -
RULE V. By theObliquity of theGreat Circle, to find the trueLatitude to any Quantity of aGreat Circle 'sDistance, from thePoint of his greatestObliquity. -
RULE VI. By theGreat Circle 'sDistance from thePoint ofObliquity, and theLatitude given; To find theDifference ofLongitude betwixt the Place and theMeridian of greatestObliquity. -
RULE VII. By theDifference ofLongitude from theObliquity, andLatitude given; To find theGreat Circle 'sDistance from thePoint andMe∣ridian of greatestObliquity. -
RULE VIII. By theGreat Circle 'sDistance from theObliquity, and theLatitude given; To find theRhomb. -
RULE IX. To find how far a Man should sail upon aRhomb, before he change hisCourse aPoint Half aPoint, or a Quarter of aPoint. -
RULE X. By theGreat Circle 'sDistance, and theDifference ofLatitude given; To find theRhomb. -
RULE XI. By theRhomb, andDistance upon it given, To find theDifference ofLatitude. -
RULE XII. By theObliquity of theGreat Circle, and theLatitude given; To find theDifference ofLongitude from theMeridian ofObliquity. -
RULE XIII. By theLatitude, andDifference ofLongitude from theObliquity given; To find theGreat Circles Distance from theMeridian ofObliquity. - RULE XIV.
-
RULE XV. By theLatitude, andDifference ofLongitude given: To find theDi∣stance upon aCourse ofEast orWest. -
RULE XVI. By theDifference ofLatitude, andRhomb sailed on; To find theDistance. You have it in the Fourteenth Rulebefore-going. -
RULE XVII. By theLatitude, andDistance sailed upon anEast orWest Course, To find theDifference ofLongitude; as20 Leagues sailed inLatitude 51 deg. 22 min.
-
RULE IV.
-
CHAP. XVI. How to make the most trueSea-Chart, and the Ʋse thereof inMercator 's andGreat Circle Sailing, called aGeneral Chart. -
CHAP. XVII. How to keep aSea-Journal, that so everySea-man, Navigator, andMari∣ner, may not be ashamed to shew theirAccount to anyArtist, and by it benefit themselves and others. -
CHAP. XVIII. A Description of the followingTable of theLatitude andLongitude of Places, and the way how to find both.
- title page
- frontispiece
- The AUTHOR to his Fifth BOOK.
-
The ART of Surveying of Land By the SEA-COMPASS: The DESCRIPTION of the
COMPASS, andSTAFF, andCHAIN. The Fifth Book.-
CHAP. I.
-
SECT. I. Mr.
Gunter 's Chain. -
SECT. II. Cautions to be used, and to be observed in the use of anyChain. -
SECT. III. How to reduce any Number ofChains andLinks intoFeet andYards. -
SECT. IV. How to cast up the Content of any piece ofLand inAcres, Roods andPerches by Mr.Gunter 'sChain. -
SECT. V. How toMeasure aLong Square Piece ofGround by aChain of 20 Links to aPerch, according to Mr.Wing. -
SECT. VI. ToMeasure aLong Square piece ofGround. -
SECT. VII.
To Measurea Triangular Pieceof Ground. -
SECT. VIII. ToMeasure apiece ofGround of Four unequalsides called aTrapezia. -
SECT. IX. ToMeasure aPiece ofGround which is a perfectCircle. -
SECT. X. ToMeasure aGround being a trueOval. -
SECT. XI. ToMeasure a piece ofGround lying in form of aSector of aCircle. -
SECT. XII. ToMeasure apiece ofGround that is aSegment, or part of aCircle. -
SECT. XIII. Having aPlot ofGround with theContent inAcres, To find how manyPerch of thatScale was contained in oneInch, whereby it wasPlotted. -
SECT. XIV. APiece ofGround beingmeasured by theStatute-Perch of16 ½ Feet, To know how manyAcres it is, it beingmeasured by aPerch of21 Foot, which is theIrish Perch.
-
SECT. I. Mr.
-
CHAP. II. How to take thePlott of aField at oneStation taken in the middle thereof by theAzimuth-Compass. -
CHAP. III. How to take thePlott of aField at one Station taken in anyAngle thereof, by theSea-Compass. -
CHAP. IV. How toMeasure anyPiece ofGround be it never soIrregular; And how toreduce theSides intoTriangles orTrapezias, and to cast up theContent thereof inAcres andPerches. -
CHAP. V. How to find the justQuantity orContent of anyPiece ofGround in anyForm. -
CHAP. V. How to take theHeight of anyIsland, orMountain in theSea by an Example made by theAuthor of theHeight ofTenariff. -
CHAP. VI. How to find theDistance of aFort, orWalls of aCity, orCastle, that you dare not approach for fear ofGun-Shot; Or theBreadth of aRiver orWater, that you cannot pass, orMeasure over it, made by2 Stations, with theQuan∣tity of theAngle at eachStation. -
SECT. I. How to take theBreadth of aRiver. -
SECT. II. Being upon the Top of aHill, Tower, Steeple, or aShips Top-Mast-Head, there observing theAngle ofdistance from you, To find the truedistance thereof. -
SECT. III. By the way of yourShip, and any2 Angles ofPosition, to find theDistance of anyIsland, Cape, orHead-Land from you.
-
-
CHAP. VII. How to take theDistance of diversplaces one from the other, remote from you, according their true Situation inPlano, and torotract (as it were) aMapp thereof by theCompass andPplain-Scale. -
The ART of Gaging of Vessels. CHAP. VIII.
The Ʋse of the Lineof Numbers,and the Lineson the Gaging Rodor Staff,and the Rules in Arithmetickin Gagingof all sorts of Vessels, (viz.)to Gagea Cube-Vessel,to Mea∣sureany Square-Vessel,and a Cylinder-Vessel;Also, Bar∣rels, Pipes,or Hogsheads;to Measurea Vesselpart out, to Measurea Brewers-Tun,or a Mash-Fat,to Measurea Cone-Vessel,to Measurea Risingor Convex Crown;and also a Convexor Falling Crownin a Brewers-Copper; also aBrewers Oval Tun. -
PROBL. I. The trueContent of aSolid Measure being known, To find theGage-Point of the sameMeasure. -
PROBL. II. The Description of theGaging-Rod, orStaff. -
PROBL. III. The Description ofSymbols of words for Brevity inArithmetick. -
PROBL. IV.
How to Measurea Cubical Vessel. -
PROBL. V.
How to Measureany Square Vessel. -
PROBL. VI.
How to Measurea Cylinder Vessel. -
PROBL. VII.
How to Measurea Globe-Vessel. -
PROBL. VIII.
How to Measurea Barrel, Pipe, Butt, Punching, Hogshead,or small Cask. -
PROBL. VIII. By theLine ofSegments on theRod orStaff, and also by aTable, How to find theQuantity ofLiquor in aCask that is part full. -
PROBL. IX.
How to Measurea Brewers Tun,or a Mash-Fat. -
PROBL. X. How toMeasure aCone-Vessel, such as is aSpire of aSteeple, or the like, by having theHeight and theDiameter at theBase. -
PROBL. XI. How toMeasure aSegment orportion of aGlobe orSphere, which serves for aConvex Signet orRising, orFalling Crown in aBrewers Copper. -
PROBL. XII.
How to Reduce Ale-measureinto Wine;And likewise to Reduce Wine-Gallonsinto Ale. -
PROBL. XIII.
How to Measurea Brewers Oval Tun. -
PROBL. XIV.
How to Gagea Vesselby Oughtred's Gage-Rule.
-
-
CHAP. IX. Wherein is shewed bothArithmetically andInstrumentally How toMeasure exactly all kind ofplain Superficies, asWalls, Timber-work, Roofs ofHouses, Tyling, Board, Glass, Wainscot, Pavement, and the like; as alsoTimber andStone. - PROBL. I.
-
PROBL. II.
How to Measure Boards, Glass, Pavement, Wainscot,and the like. -
PROBL. III.
The Mensurationsof Solid Bodiesof Timberand Stone,and first of Squared-Timber. -
PROBL. IV. How to find how manyInches inlength will make oneFoot ofTimber, be∣ing alike in theSquares. -
PROBL. V.
How to Measure Round-Timberfive several ways. -
PROBL. VI.
How to Measurea Pyramedal pieceof Timber. -
PROBL. VII.
How to Measurea Conical pieceof Timber.
-
CHAP. X. For theBurden of aShip, or herTunnage, Take theseRules following. -
CHAP. XI. The Application of theLine ofNumbers in Common Affairs, as inReduction ofWeight andMeasure ofCheese, Butter, and the like. -
CHAP. XII. The most Excellent Gunners Scale, Which resolves the Chief Principles of the wholeArt ofGunnery, in a very brief and Compendious form, never by any set forth in the like nature before; with diversExcellent Conclusions bothArithmetical, andGeometrical, andInstrumental; and byTables being framed both with, and without the help ofArithmetick. As also diversArtificial Fire-Works, both forRecreation, and forSea andLand-Service. -
SECT. I. The Qualifications everyGunner ought to have, and theProperties, Duty, andOffice of aGunner. -
SECT. II. Who were the Inventors ofGun-powder, and some Principles ofPhiloso∣phy fit to be known. -
SECT. III. TheDescription andUse of theGunners Scale, upon which is all sorts ofOrdnance, from theCanon, to theBase of theirWeight, Lading, Shot, and all other things appertaining to them. -
SECT. IV. The Ʋse of theLine ofNumbers on theScale, for the help of such as cannotExtract theCube andSquare-Root. -
SECT. V. Admit theweight of anIron Bullet being30 pound, theDiameter was6 Inches, theweight being47 64/100 what may theDiameter be? -
SECT. VI. TheGeometrical finding theDiameter for theweight of anyShot assigned. -
SECT. VII. To find what proportion is betweenBullets ofIron, Lead, andStone, by knowing theweight of oneShot ofIron; to find theweight of any otherShot ofLead, Brass, orStone of the likeDiameter. -
SECT. VIII. How by knowing theweight of onePiece ofOrdnance, to find theweight of anotherPiece being of that very shape of the sameMetal, or any otherMetal. -
SECT. IX. How to make aShot ofLead andStone, theStone being put in the Mould in which theLeaden Shot should afterwards be cast, to be of the likeDia∣meter andWeight as anIron Shot is of. -
SECT. X. How by knowing what quantity ofPowder will load onePiece ofOrdnance; to know how much will load any otherPiece whatsoever. -
SECT. XI. How to know whether yourPiece beChamber-bored. -
SECT. XII. How to know whatDiameter everyShot must be of to fit anyPiece ofOrd∣nance, or to chooseShot forOrdnance. -
SECT. XIII. How to find whatFlaws, Cracks, andHoney-combs are inPieces ofOrdnance. -
SECT. XIV. How to find whether aPiece ofOrdnance be true bored, or not. -
SECT. XV. OfIron Ordnance what quantity ofPowder to allow for their Loading. -
SECT. XVI. To know what quantity ofPowder should be allowed to aPiece ofOrdnance not truly bored. -
SECT. XVII. HowMoulds, Forms, andCartredges, are to be made for any sort ofOrdnance. -
SECT. XVIII. How to makeLadles, Rammers; orSpunges for all sorts ofOrdnance. -
SECT. XIX. How theCarriage of aPiece should be made. -
SECT. XX. To know whether theTrunnions of anyPiece ofOrdnance are placed right. -
SECT. XXI. How muchRope will makeBritchings andTackles for anyPiece. -
SECT. XXII. WhatPowder is allowed for Proof, and what for Action of eachPiece. -
SECT. XXIII. The difference between the Common LegitimatePieces, and the BastardPieces, and ExtraordinaryPieces. -
SECT. XXIV. HowPowder is made, and several ways to know whetherPowder be de∣cayed or no, by moisture or Age, in part, or in whole. -
SECT. XXV. How to make an excellent goodMatch to give Fire to anyOrdnance. -
SECT. XXVI. How to makePowder it shall not wast with time, and preserve that as is good to keep it from decaying. -
SECT. XXVII. To renew and make good again any sort ofGun-powder that hath lost its strength by long lying, or moisture, or any other means. -
SECT. XXVIII. To makePowder of divers Colours, and first to makeWhite Powder. -
SECT. XXIX. Of several sorts ofSalt-peter, and a way how to make a sort ofSalt-peter very excellent, with ease, and less cost than any way. -
SECT. XXX. How to Load and Fire aPiece ofOrdnance like an Artist. -
SECT. XXXI. The difference ofShooting by the Metal, and by a Dispert by a Right Range, and at Random, by the Figures following. -
SECT. XXXII. How to Order and Direct aPiece, and amend an ill Shot that was made, either by the Metal, Level, Right-line, or Advantage, or Mount. -
SECT. XXXIII. Of Shooting upon the Advantage or Random, at a Mark, beyond the Right-line of thePieces reach, or Right-range of the Shot, and of the Dead-range for everyDegree. -
SECT. XXXIV. How to make an effectual Shot out of aPiece ofOrdnance at Random. -
SECT. XXXV. How to find theRight-Line, orRight-Range of anyShot discharged out of anyPiece, for every elevation by oneRight orDead-Range given for thePiece assigned. -
SECT. XXXVI. To know how much of theHorizontal-Line is contained directly under theRight-Line of anyShot called theRight-Range made out of anyPiece at any Elevation assigned. -
SECT. XXXVII. Of the violent, crooked, and natural Motion or Course of aShot discharged out of anyPiece ofOrdnance assigned. -
SECT. XXXVIII. How to make aGunner's Rule, being an Instrument which will serve to ele∣vate aPiece ofOrdnance with more facility than theGunner's Qua∣drant. -
SECT. XXXIX. How to Divide theGunner 'sRule intodegr. by help of a Table, sitting it for anyPiece from5 foot long to14 soot long; and by the help of thisTable, anyPiece may be Elevated to anydegr. without the help of aQuadrant, Ruler, or any otherGeometrical Instrument whatsoever. -
SECT. XL. How to give Level to aPiece ofOrdnance, with theGunner 'sRule at anyDegree of Random. -
SECT. XLI. How by theTable to giveLevel to aPiece ofOrdnance, without theGunner's Rule. -
SECT. XLII. How to make a Shot at the Enemies Lights in a dark Night. -
SECT. XLIII. How to make a perfect Shot at a company of Horse-men, or Foot-men passing by the place whereOrdnance doth lie upon a Level-Ground; and also to make a good Shot at aShip Sailing upon aRiver. -
SECT. XLIV. How to cause the same quantity bosh ofPowder andShot, discharged out of the samePiece, to carry close, or more scattering. -
SECT. XLV. How a Shot which sticketh fast within the Concavity of aPiece, that it can∣not be driven home unto thePowder, may be Shot out, without hurt to theGunner, or hurt to thePiece. -
SECT. XLVI. APiece ofOrdnance at the same Elevation, and towards the self-same place, with the like quantity ofPowder andShot, discharged several times, what difference there is in theirRanges. -
SECT. XLVII. How to WeighShips sunk, orOrdnance under Water: or to know what emptyCask will carry any sort ofOrdnance over aRiver. -
SECT. XLVIII. How many Horses, Oxen, or Men will serve to draw aPiece ofOrdnance. -
SECT. XLIX. HowGunners may take a Plott of theirGarrison, and every object near it.
-
-
OF ARTIFICIAL FIRE-WORKS, FOR Recreation, AND
SEA andLAND-SERVICE. CHAP. XIII.-
SECT. I. A Description of theMortar-Piece, and how to make one of Wood, and Past-Board (for a need,) Brass and Iron ones being wanting. -
SECT. II. How to fit and prepareGranadoes for theMortar-Piece. -
SECT. III. How to makeGranadoes of Canvas for theMortar. -
SECT. IV. HowGranadoes are to be Charged in aMortar, and Fired. -
SECT. V. How to makeHand-Granadoes to be hove by Hand. -
SECT. VI. How to makeFiery-Arrows orDarts likeDeath Arrow-Heads. -
SECT. VII. How to makeFire-pots ofClay. -
SECT. VIII. How to makePowder-Chests. -
SECT. IX. How to make ArtificialFire-Works for Recreation and Delight. -
SECT. X. To make the Composition forRockets of any size. -
SECT. XI. How to make flyingSerpents andRockets that will run upon a Line, and return again. -
SECT. XII. How to makeFire-Wheels, or as some call themGirondles. -
SECT. XIII. How to make divers Compositions forStarrs. -
SECT. XIV. How to make and use theStarrs. -
SECT. XV. How to represent divers sorts ofFigures in the Air withRockets. -
SECT. XVI. How to make Silver and GoldenRain, and how to use them. -
SECT. XVII. How to makeFire-Lances. -
SECT. XVIII. The manner how to makeBalloons for theMortar-Piece. -
SECT. XIX. A most preciousUnguent for any Burning. -
SECT. XX. AnotherSalve most Excellent.
-
-
CHAP. I.
-
TO Cap.
SAMƲEL STƲRMY THE AUTHOR,For his Work and VVorth. - title page
-
THE Denomination of Eight and Forty Constellations of the Fixed
STARS; OR, The Rudiments ofASTRONOMY, Put into plainRHYTHMES. -
STƲRMY'S
MATHEMATICAL and PRACTICAL ARTS The Sixth Book. Wherein is contained a Definition of theCircles of theSphere, with the manner how to Resolve all the most necessaryPropositions thereunto belonging, by aLine ofChords andSigns, or byChords andTangents; as also by Calculation byTables. - CHAP. I.
-
CHAP. II. The Projection of theSphere inPlano, represented by theAnalemma, and thePoints andCircles before described. -
CHAP. III. How to Calculate the Sun's true place.- PROBL. I.
-
PROBL. II. The Suns Distance from the nextEquinoctial-point; and his greatest De∣clination being given, to find the Declination of any Point required. -
PROBL. III. Having the Suns greatest Declination, and his Distance from the nextEqui∣noctial-Point; to find hisRight-Ascention. -
PROBL. IV. The Elevation of thePole, and Declination of theSun being given; to find theAscentional-Difference. -
PROBL. V. The SunsRight-Ascention, and hisAscentional-difference being given; to find hisOblique-Ascention, andDescention. -
PROBL. VI. To find the time ofSun-Rising, andSetting, with the length of theDay andNight. -
PROBL. VII. The Elevation of thePole, andDeclination of theSun being given; to find hisAmplitude. -
PROBL. VIII. Having the Latitude of the Place, and the Suns Declination, to find the time when the Sun cometh to be dueEast andWest. -
PROBL. IX. The Elevation of thePole, and the Declination of theSun being given; to find the Suns Altitude when he is dueEast andWest. -
PROBL. X. The Elevation of thePole, and Declination of theSun being given, to find the Suns Altitude at the Hour of Six. -
PROBL. XI. Having the Latitude of the Place, and the Declination of the Sun given; to find the SunsAzimuth at the Hour of Six. -
PROBL. XII. Having the Latitude of the Place of the Suns Declination, and his distance from the Meridian being given, to find the Suns Altitude at any Time assigned. -
PROBL. XIII. The Suns Altitude, and his Distance from the Meridian, and Declination being given; to find hisAzimuth. -
PROBL. XIV. The Poles Elevation, with the Suns Altitude and Declination given; to find the Suns Azimuth. -
PROBL. XV. To find the Altitude of the Sun by the Shadow of aGnomon set Perpendicular to theHorizon byScale andCompasses; as also byCalculation. -
PROBL. XVI. Having the Latitude of the Place, the Suns Declination, and the Suns Alti∣tude; to find the Hour of the Day. -
PROBL. XVII. Having the Azimuth of the Sun, the Altitude of the Sun, and the Declina∣tion; to find the Hour of the Day. -
PROBL. XVIII. How to find the Right-Ascension of a Star, and the Declination of a Star; having the Longitude and Latitude of that Star given. -
PROBL. XIX. Having the Declination, and Right-Ascension of a Star; to find the Longi∣tude and Latitude thereof. -
PROBL. XX. Having the Meridian-Altitude of an unknown Star, and the distance there∣of from a known Star; to find the Longitude and Latitude of the unknown Star. -
PROBL. XXI. To find the Parallax of Altitude of the Sun, Moon, or Stars.
- title page
- frontispiece
-
To my much Honoured Friend Isaac Morgan Esq; Collector of his Majesties Customs in the Port of
Bristol. -
THE Art of Dialling.
- THE ARGUMENT.
-
CHAP. I. The Preface of the kinds ofDials. -
CHAP. II. Theorems premised. -
CHAP. III. How to make the Polar Dial, and how to place it. -
CHAP. IV. How to make the South Aequinoctial Dial, or Polar Plane. -
CHAP. V. How to make the East Aequinoctial Dial, or the West Lat.51 d. 30 m. -
CHAP. VI. Of the kinds of Oblique Dials. -
CHAP. VII. How to make the Vertical Horizontal Dial. -
CHAP. VIII. A South and North Erect Direct or Horizontal Dial, and how to make it. -
CHAP. IX. How to make a South inclining23 deg. in the Latitude of51 deg.30 min. -
CHAP. X. How to observe the Declination of any Declining Plane. -
CHAP. XI. How to make a Declining Horizontal Dial, or South erect declining from the South Eastwards32 deg. 30 min. in the Latitude of51 deg. 30 min. -
CHAP. XII. How to draw the Hour-Lines in a Declining Horizontal-Dial, or South erect, declining32 deg. 30 min. from the South Eastward, the Latitude being51 deg. 30 min. -
CHAP. XIII. How to observe the Reclination or Inclination of any Plane. -
CHAP. XIV. To draw the Hour-Lines in all Declining, Reclining, Inclining Planes. -
CHAP. XV. How to make a North and South Reclining Dial. -
CHAP. XVI. How to make an East or West Reclining or Inclining Dial. -
CHAP. XVII. How to find the Arches and Angles that are requisite for the making of the Reclining Declining Dial. -
CHAP. XVIII. How to draw the Reclining Declining Dial. -
CHAP. XIX. How to find the Horary Distance of a Reclining Declining Dial. -
CHAP. XX. To draw the Proper Hours of any Declining Dial. -
CHAP. XXI. To know in what Country any Declining Dial shall serve for a Vertical. -
CHAP. XXII. How to find the Arches and Angles which are requisite in a North Decliner Recliner, and a South Decliner Incliner. -
CHAP. XXIII. How to draw the Declining Inclining Dial. -
CHAP. XXIV. How to know the several sorts of Dials in the Fundamental Diagram. -
CHAP. XXV. How other Circles of the Sphere besides the Meridians may be projected upon Dials. -
CHAP. XXVI. How to describe on any Dial the proper Azimuths and Almicantars of the Plane. -
CHAP. XXVII. How to deal with those Planes where the Pole is but of small Elevation, and how to enlarge the Stile thereof. -
CHAP. XXVIII. Another Example, How to Inlarge the Stile in a South Dial, reclining45 deg. from the Zenith Northward. -
CHAP. XXIX. How to make a Vertical Dial upon the Cieling of a Floor within Doors, where the Direct Beams of the Sun never come. -
CHAP. XXX. How to make an Ʋniversal Dial on a Globe; and to cover it, if it be required. -
CHAP. XXXI. How to make a Direct North Dial for theCape of Good Hope, in South Lati∣tude35 d. and Longitude57 d. to the Eastward ofFlores andCorvo. -
CHAP. XXXII. How to find the Time of the Night by the Moon shining upon a Sun Dial. -
CHAP. XXXIII. How to find the Hour of the Day or Night by a Gold Ring and a Silver Drinking Bowl, or Glass, or Brass, or Iron, or Tin Vessel. -
CHAP. XXXIV. How to Paint the Dials which you make.- To Paint and Finish the Dials, ready to be set up in their Places.
- A Receipt for Red Ink.
- How to cleanse a Picture.
- To cleanse a Gold Border.
- To grind Gold to Write and Paint.
-
Some Ʋses of the following Tables of
Logarithmes, Sines, andTangents. -
PROBL. I. How to find the Logarithmes of any Number under1000. -
PROBL. II. A Logarithme being given, to find the Absolute Number thereunto belonging, by the former Observation; the Characteristick will declare of what Number of Places the Absolute Number consisteth. -
PROBL. III. How to find the Logarithme of a Number that consisteth of four Places. -
PROBL. IV. Any Number of Degrees and Minutes being given, to find the Artificial Sine and Tangent thereof. -
PROBL. V. If any Sine or Tangent be given, to find what Degrees and Minutes answer thereunto.
-
- title page
- Canon Triangulorum Logarithmicus.
- title page
- table
- table
- title page
-
TO ALL Merchants and Factors, and Comman∣ders or Masters of Ships; AND To all other Officers and Mariners: And to all other Honest-minded Men whom this may Concern.
SAMUEL STURMY Wisheth Prosperity, Courage, and Wisdom in all Your Lawful Undertakings. -
A SUMMARY OF SUCH PENALTIES and FORFEITURES As are Limited and Appointed by Several ACTS of PARLIAMENT Relating to the
CUSTOMS andNAVIGATION. -
A TABLE OF THE STATUTES Relating to the CUSTOMS, and NAVIGATION, and TRADE, Made in the Reign of King
CHARLES the Second. - THE AUTHOR TO His Books.
- title page
-
A COMPENDIUM OF FORTIFICATION.
-
To Describe a Fort of Five Bulwarks, or any other; so that the Bastion, or Flanked Angle of
8 Bastions or Bulwarks exceed not90 Degrees by the Line of Chords. - Of the Works that are in or about Forts of most Importance.
- To Draw the Platform of a Fort, beginning with the Capital (or Head) Line; And also to draw the Horn-works.
- For the Horn-works.
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Now follow two Tables; the one for
12 Bastions, and the other for Forts of8 Bastions: Whereby you may trace out any Fort by help of a Line of Equal Parts, which shall divide the Side of the Outer Polygon into10000 parts. - The Ʋse of these Tables.
- The Profile or Section of a Fort with a Fausse-Bray and Counterscarp; also Subtrenched.
- Of Irregular Fortification.
- To make a Scale for Fortification by the Tables.
- How to Fortifie a long Curtain with Bulwarks, or a strait Town Wall.
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To Describe a Fort of Five Bulwarks, or any other; so that the Bastion, or Flanked Angle of