## A Treatise of Practical Mathematics, Part 2 |

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### Contents

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### Common terms and phrases

actual range bastion body breadth bung diameter called cask celestial sphere centre constructed content in imperial cosec cosine declination deflexion depth difference of latitude difference of longitude distance ditch divide divisor draw earth ecliptic elevation equal equator Example.—Find Example.—The EXERCISES fathoms feet Find the content formulas frustum gauge point glacis Greenwich hence horizontal parallax hypotenuse imperial bushels imperial gallons inches inclination length logarithms mean diameter mean noon measure moon's multiply number of balls oblique observed altitude opposite parallel parapet perpendicular place in longitude plane plane sailing pole preceding primitive Problem projection proportional quadrant quotient radius ravelin redoubt refraction right angle right ascension sailing semi-diameter side sidereal sine Sliding Rule small circle specific gravity sphere spherical angle spherical excess spherical triangle spherical trigonometry square subtract sun's surface true altitude ullage velocity vessel weight

### Popular passages

Page 196 - Fig. 9. Case 1. Let AB, AC be each less than a quadrant. Let AE, AG be quadrants ; G will be the pole of AB, and E the pole of AC, and EC a quadrant; but, by prop. 12. CE is greater than CB, since CB is farther off from CGD than CE. In the same manner, it is shown...

Page 95 - To the square of the bung diameter add the square of the head diameter ; multiply the sum by the length, and the product again by .0014 for ale gallons, or by .0017 for wine gallons.

Page 96 - RULE. — To the square of the bung diameter add the square of the head diameter ; multiply the sum by the length, and the product by .0014 for ale gallons, or by .0017 for wine gallons.

Page 42 - A magnitude which has length, breadth, and thickness. Solution. The process by which the answer to a question is obtained. Specific gravity of a substance. The ratio of the weight of a given volume of it to that of an equal volume of water.

Page 192 - A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre. The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.

Page 227 - ZODIAC.— The Zodiac is an imaginary belt, or broad circle, extending quite around the heavens. The ecliptic divides the zodiac into two equal parts, the zodiac extending 8 degrees on each side of the ecliptic, and therefore is 16 degrees wide.

Page 196 - BC will be greater than a quadrant : for let AE be a quadrant, then E is the pole of AC, and EC will be a quadrant. But CB is greater than CE by Prop. 12.

Page 195 - Oj the same affection with the angles opposite to them, that is, if the sides be greater or less than quadrants, the opposite angles will be greater or less than right angles, and conversely.

Page 195 - IN a right angled spherical triangle, the sides are of the same affection with the opposite angles ; that is, if the sides be greater or less than quadrants, the opposite angles will be greater or less than right angles. Let ABC be a spherical triangle right angled at A, any side AB, will be of the same affection with the opposite angle ACB. Case 1.

Page 195 - ... will be greater than a quadrant. Let ABC be a right angled spherical triangle ; according as the two sides AB, AC are of the same or of different affection, the hypotenuse BC will be less, or greater than a quadrant. The...