### Contents

 NOTATION 11 FOREIGN WEIGHTS AND MEASURES 17 Of Hyperboloids and Hyperbolic 19 Geometrical Progression 35 By Mathematical Formula 67 Examples in Mensuration 71 36 77 Table of Epacts Dominical Letters 83
 PLANE TRIGONOMETRY 123 Table of the Rise of Water in Rivers 175 Pulley 181 Gravities of Bodies 190 Cohesion 196 PILING OF BALLS AND SHELLS 206 Steam acting Expansively 214 Saturation in Marine Boilers 220

 Cylindrical Rings 87 CIRCUMFERENCES OF CIRCLES 95 To find the Square of a Number 116
 227 257 Slating 263

### Popular passages

Page 24 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...
Page 81 - Take the length of the keel within board (so much as she treads on the ground) and the breadth within board by the midship beam, from plank to plank, and half the breadth for the depth, then multiply the length by the breadth, and that product by the depth, and divide the whole by 94; the quotient will give the true contents of the tonnage.
Page 32 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 56 - As the conjugate diameter is to the transverse, so is the square root of the difference of the squares of the ordinate and...
Page 204 - ... above the upper deck"; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and then deduct from the...
Page 63 - From the square of the diameter subtract the square of the chord, and extract the square root of the remainder. Subtract this root from the diameter, and half the remainder will give the versed sine of half the arc.
Page 37 - If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Page 190 - Secondly, on the supposition that the earth performs an annual revolution around the sun, it is embraced along with the planets, in Kepler's law, that the squares of the times are as the cubes of the distances ; otherwise, it forms an exception, and the only known exception, to this law.
Page 39 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 1 - Pocket-book, containing United States and Foreign Weights and Measures; Tables of Areas and Circumferences of Circles, Circular Segments, and Zones of a Circle; Squares and Cubes, Square and Cube Roots; Lengths of Circular and Semi-elliptic Arcs ; and Rules of Arithmetic. Mensuration of Surfaces and Solids; the Mechanical...