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Author: Seller, John, fl. 1658-1698.
Title: The sea-gunner shewing the practical part of gunnery as it is used at sea : and, as an introduction thereto, there is exhibited two compendiums, one of vulgar, the other of decimal arithmetick, with necessary tables relating to that art : to which is added an appendix, shewing the use of a proportional scale gunnery, and the use off the sea-gunners rule ... / composed by John Seller, Senior.
Publication Info: Ann Arbor, Michigan: University of Michigan, Digital Library Production Service
2012 November (TCP phase 2)
Availability:

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Print source: The sea-gunner shewing the practical part of gunnery as it is used at sea : and, as an introduction thereto, there is exhibited two compendiums, one of vulgar, the other of decimal arithmetick, with necessary tables relating to that art : to which is added an appendix, shewing the use of a proportional scale gunnery, and the use off the sea-gunners rule ... / composed by John Seller, Senior.
Seller, John, fl. 1658-1698.

London: Printed by H. Clark ... and are to be sold by him ..., 1691.
Notes:
Added engraved t.p.
An appendix has a special t.p. and separate paging.
Advertisement: p. [1]-[3] at end.
Reproduction of original in British Library.
Subject terms:
Gunnery -- Early works to 1800.
Naval art and science -- Early works to 1800.
URL: http://name.umdl.umich.edu/A59151.0001.001

Contents
frontispiece
title page
THE PREFACE TO THE READER.
A TABLE Of the Principal Matters contained in this Book.
THE Sea-Gunner.
A COMPENDIUM OF Vulgar Arithmetick. CHAP. I.
Notation of Numbers.
RƲLE.
NƲMERATION.
ADDITION.
Example.
In Addition of Integers and Parts.
Example.
SƲBTRACTION.
Example.
MƲLTIPLICATION.
CASE I. If the Multiplicand have dovers Figures, and the Multiplier but one;
CASE II. If the Multiplicand and the Multiplier have each of them more than one Figure;
CASE III. If Cyphers are in the Multiplicand and Multiplier, or either of them;
CASE IV. If a Cypher or Cyphers be in the middle of the Multiplicand;
CASE V. If a Cypher or Cyphers be in the middle of the Multiplier;
CASE VI. If Cyphers be both in the middle of the Multipli∣cand, and also in the Multiplier;
CASE I. To multiply any Number by 5.
CASE II. To multiply any Number by 9.
DIVISION.
The Rule of Three Direct.
The RƲLE of THREE REVERSE.
The Double RƲLE of THREE.
The Rule of Three Reverse.
The Rule.
For Instance.
CHAP. II. A COMPENDIUM OF Decimal Arithmetick.
Note 1st. Notation of FRACTIONS.
Note 2d.
Note 3d.
Note 4th.
Note 5th.
Note 6th.
The Rule.
Example 1.
Example 2d.
Note 7th. To reduce a Decimal Fraction hnno a Vulgar.
Example.
Addition of Decimals.
Note 8th.
Subtraction of Decimals.
Note 9th.
Multiplication of Decimals.
Note 10th.
Note 11th.
Division of Decimals.
Note 12th.
Note 13th.
A General Rule to know the true value of the Quotient.
Note 14th.
Example 1. To Divide a whole Number by a Fraction.
Example 2. To divide a Fraction by a whole Number.
Example 3.
Example 4.
Example 5.
Example 6.
Example 7. To Divide a whole Number by a whole Number and a Fraction.
Example 8. To divide a whole Number and a Fraction, by a whole Number and a Fraction.
A Decimal Table of Pence and Farthings.
A Table of Decimals of one Pound Sterling in Shillings.
A Table of the Decimals of a Foot to every Inch and Eighth part of an Inch.
An Explanation of this Table.
CHAP. III. THE EXTRACTION OF THE Square Root.
To Extract the Square Root by the Logarithms.
By Gunter's Scale.
The EXTRACTION of the CƲBE ROOT.
To prepare a Cube Number for Extraction.
To Extract the Cube Root by the Logarithms.
To Extract the Cube Root by Gunter's Scale.
A Table of Square Roots from One to an Hundred.
A Table of Cubick Roots from One to an Hundred.
part
To make the Table of Square Roots.
To make the Tables of Cubick Roots.
A TABLE OF LOGARITHMS OF Absolute Numbers, from One to a Thousand.
A Description and use of the Table of Logarithms.
Prop. 1.
Prop. 2. A Logarithmical Number being given, to find the Absolute Number thereunto belonging.
Multiplication by the Loga∣rithms.
Division by the Logarithms.
Of a CIRCLE.
1. The Diameter being given, to find the Circum∣ference by the Logarithms.
2. The Circumference of a Circle being given, to find the Diameter.
3. The Diameter of a Circle being given, to find the Area or Superficial Content thereof.
4. The Circumference of a Circle being given, to find the Area.
CHAP. IV. CONTAINING Geometrical Rudiments Useful in the Art of GUNNERY.
How to raise a Perpendicular from the middle of a Line given.
To let a Perpendicular fall from a Point assigned, to the middle of a Line given.
To raise a Perpendicular upon the end of a Line given.
To let fall a Perpendicular from a Point assigned, unto the end of a Line given.
To draw a Line Parallel to a Line given.
A Geometrical Problem useful in the Art of Gunnery.
A Geometrical way to find the Diameter of any Bullet that weighteth twice as much as a known Bullet.
Performed by Arithmetick.
The weight of any Shot given, to find the Diameter Geometrically.
CHAP. V. Geometrical Theorems AND PROBLEMS.
part
Theorem 1.
Theorem 2.
Theorem 3.
Theorem 4.
Theorem 5.
Theorem 6.
Theorem 7.
Arithmetical Problems apper∣taining to the Art of Gun∣nery, and wrought by Deci∣mal Arithmetick, by the Logarithms, and Gunter's Scale.
PROB. 1. The Diameter of a Circle being given, to find the Circumference.
The Analogy.
By the Logarithms.
PROB. 2. The Circumference of a Circle being given, to find the Diameter.
The Analogy.
By the Logarithms.
By Gunter's Scale.
PROB. 3. The Diameter of a Circle being given, to find the side of a Square equal to it.
The Analogy.
By the Logarithms.
By Gunter's Scale.
PROB. 4. The Circumference of a Circle being given, to find the side of a Square, equal in content to that Circle.
The Analogy.
By the Logarithms.
By Gunter's Scale.
PROB. 5. The Diameter of any Spherical body being known, to find the Circumference.
The Analogy.
By the Logarithms.
By Gunter's Scale.
PROB. 6. The Circumference of any Spherical body being known, to find the Diameter.
The Analogy.
By the Logarithms.
By Gunter's Scale.
PROB. 7. The Diameter and Circumference of any Spheri∣cal Body being known, to find the Superficial Content?
The Analogy.
By the Logarithms.
By Gunter's Scale.
PROB. 8. The Axis or Diameter of a Globical body being known, to find the Solid Content.
The Analogy.
By the Logarithms.
By Gunter's Scale.
PROB. 9. The Diameter of a Bullet being given with the weight, to find the weight of another Bullet of the same Metal, but of another Diameter, either greater or lesser.
The Analogy.
By the Logarithms.
By Gunter's Scale.
PROB. 10. Having the weight of a Bullet of one kind of Metal, to find the weight of a Bullet of another kind of Metal, being equal in magnitude.
Example. If a Leaden Bullet weigh 106 Pounds, what will a Bullet of Marble weigh?
The Analogy.
Performed by the Logarithms.
By Gunter's Scale.
PROB. 11. A Bullet of Iron that weigheth 72 Pound, what will a Bullet of Lead weigh that is equal to it in bigness?
The Analogy.
By the Logarithms.
By Gunter's Scale.
PROB. 12.
As for Example.
By Arithmetick.
By the Logarithms.
By Gunter's Scale.
PROB. 13.
Example.
The Analogy is
By the Logarithms.
By Gunter's Scale.
PROB. 14. To find the Superficial Content of the Convex face of any Piece of Ordnance, and also of the Solid Content of the Concavity thereof.
For the Superficies the Analogy is,
By the Logarithms.
By Gunter's Scale.
To find the Solid Content.
By the Logarithms.
By Gunter's Scale.
The Base of the Cylinder being thus found, to find the Solidity of the Cylinder.
By the Logarithms.
By Gunter's Scale.
PROB. 15. To know how much of every kind of Metal is contained in any Brass Piece of Ordnance.
The Operation.
Analogy for the Copper is,
Analogy for Brass.
Analogy for Tin.
By the Logarithms.
For the Copper.
For Brass.
For Tin.
By Gunter's Scale. For the First Operation for Copper.
For Brass.
For Tin.
PROB. 16.
Example.
The Analogy.
A Table of the weight of Iron Shot in Pounds and Ounces, from One Inch Diameter, to Ten Inches, to every Eighth part of an Inch.
A Table shewing the height and weight of Iron, Lead and Stone shot, according to their in Inches and Quters, and their respective weights in Pounds and Ounces.
One Example will shew the use of this Table.
A General Table of Gunnery shewing the Length and Weight of most of our En∣glish Ordnance, the Diameter of their Bere, the weight of their Shot, the Ladles length, and their weight of Pow∣der to Charge them.
CHAP. VI. Of the Different Fortifications of most Pieces of Ordnance.
CHAP. VII. How much Powder is fit for Proof, and what for Action for any Piece of Ordnance.
To make Ladles to Load your Guns with.
CHAP. VIII. To know what Bullet is fit to be used for any Gun.
To make Cartridges, Moulds and Formers for any sort of Ord∣nance.
CHAP. IX. Containing certain THEOREMS IN GUNNERY.
THEOREM I.
THEOREM II.
THEOREM III.
THEOREM IV.
THEOREM V.
THEOREM VI.
THEOREM VII.
THEOREM VIII.
THEOREM IX.
THEOREM X.
THEOREM XI.
CHAP. X. Necessary Instructions for a Sea-Gunner.
Gunners Stores.
A New Rule called the Sea-Gun∣ners Rule, whose use is shewed at the End of this Book.
CHAP. XI. Shewing an Easie way to dispart a Piece of Ordnance.
CHAP. XII. To Level a Piece of Ordnance to shoot Point-Blank.
CHAP. XIII. How to search a Piece of Ordnance, to discover whether there be any Flaws, Cracks or Hony-combs in the Piece.
Another Way.
Another Way to discover Cracks.
Another Way.
CHAP. XIV. How Moulds, Formers and Car∣tridges are to be made for any sort of Ordnance.
CHAP. XV. How much Rope will make Britch∣ings and Tackles for any Piece.
What Powder is allowed for Proof, and what for Action.
CHAP. XVI. How to know what Diameter every Shot must be of, to fit any Piece of Ordnance.
To tertiate a Piece of Ordnance.
As for Example.
How to make a Shot out of one Ship unto another in any Wea∣ther whatsoever.
In what Order to place your great great Guns in Ships.
How much Rope will make Breechings and Tackles for Guns.
For the Tackles.
For the Breechings.
CHAP. XVII. Of Powder. Several things necessary to be known by a Gunner; but espe∣cially of Powder.
To know good Powder.
To preserve Powder from decaying.
To find the Experimental Weight of Powder (Tower-Proof) that is found convenient for Service, to be used in Guns of several Fortifications (or thickness) and by consequence strength of Metal.
To know whether the Trunions of any Gun are placed right.
The Practical way of making Gun-Powder.
To Renew and make good again any sort of Gun-Powder, ha∣ving lost its Strength by moist∣ure, long lying, or by any other means.
CHAP. XVIII. How to make Hand-Granadoes to be Hove by Hand.
CHAP. XIX. How to make Fire-Pots of Clay.
SECT. I. How to make Powder-Chests.
To make Stink-Balls.
CHAP. XX. The Properties Office, and Duty of a Sea-Gunner.
appendix
title page
CHAP. I. A Description of the Proportional Scale and its Ʋse in the Art of Gunnery.
Numeration on the Lines. PROP. I.
Example 1.
Example 2.
Example 3.
PROP. II.
Example.
CHAP. II. Multiplication by the Proportional Scale.
Example. 1.
Example. 2.
Example. 3.
CHAP. III. Division by the Proportional Scale.
Example. 1.
Example. 2.
Example. 3.
CHAP. IV. The Golden Rule Direct.
Example. 1.
Analogies.
Example. 2.
The Analogy.
Example. 3.
CHAP. V. The Golden Rule Reverse.
Example 1.
Example 2.
CHAP. VI. Of Duplicate Proportion performed by the Scale.
1. Of the Proportion of Lines to Superficies,
Example. 1.
II. Of the Proportion of Superficies to Lines.
Example. 1.
Example. 2.
CHAP. VII. Of Cubical Proportion.
1. Of the Proportion between Lines and Solids.
Example
2. Of the Proportion of Solids to Lines.
Example.
CHAP. VII. To Extract the Square Root, by the Proportional Scale, by Inspection.
CHAP. IX. To Extract the Cube Root upon the Proportional Scale, by Inspection.
CHAP. X. Of the Mensuration of Divers Re∣guler Superficial Figures by the Proportional Scale.
Example. 1.
Example 2.
Example 3.
CHAP. XI. Of Spherical Bodies, such as Globes or Bullets.
Example 1.
The ANALOGY.
Example 2.
ANALOGY.
Example 3.
The ANALOGY.
The Description of the Sea-Gun∣ners RULE, being the Epitome of the Art of Gun∣nery.
The Description of the Sea-Gun∣ners Rule.
A Description of one side of the Rule.
A Description of the other side of the Rule.
Ʋse 1. To find the Concave Diameter of the Mouth of any Piece of Ord∣nance.
Ʋse 2. To find the Diameter of a Shot.
Ʋse 3. To find the quantity of an Angle, or to find the degree of Moun∣ture of any Piece of Ordnance.
To find and to set the degree of Mounture of a Piece of Ordnance.
Ʋse 4. The Ʋses of that side of the Rule, upon which the Line of Num∣bers is placed.
Example 1.
Example 2.
Ʋse 5. The Ʋse of the other side of the Rule.
A Catalogue of Books and Instruments belonging to the Art of Navigation and Gunnery; Sold by John Seller, Senior, at the Hermitage in Wap∣ping.
Insteuments of Navigation.