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### Contents

 THE SIDES OF A RIGHTANGLED TRIANGLE 3 THE SQUARE 7 THE RECTANGLE 19 THE OBLIQUE PARALLELOGRAM 26 THE TRIANGLE 31 THE TRAPEZIUM 37 THE TRAPEZOID 41 THE REGULAR POLYGON 44
 THE ELLIPSE 80 75 83 THE FRUSTUM OF A RIGHTCONE AND OF A Right 108 THE WEDGE 121 THE SPHERE 128 THE SEGMENT OF A SPHERE 135 IRREGULAR SOLIDS 143 GAUGING OR MEASUREMENT OF CASKS 153

### Popular passages

Page 2 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 8 - We wish to prove that The three angles of any triangle are equal to two right angles. Let...
Page 70 - The circumference of a circle is divided into 360 equal parts, called degrees; each degree into 60 minutes ; each minute into 60 seconds.
Page 31 - From half the sum of the three sides, subtract each side separately; multiply the half -sum and the three remainders together; the square root of the product is the area.
Page 128 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 57 - To find the area of a circle, multiply the square of the diameter by .7854.
Page 5 - A circle is a plane figure bounded by a curved line called the circumference, every point of which is equally distant from a point within called the center, Fig.
Page 2 - But when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle : (Ю.
Page 41 - Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area.
Page 71 - Or, from 8 times the chord of half the arc, subtract the chord of the whole arc, and \$ of the remainder will be the length of the arc, nearly.