Mensuration and Practical Geometry: Containing Tables of Weights and Measures, Vulgar and Decimal Fractions, Mensuration of Areas, Lines, Surfaces, and Solids; Appended, a Treatise on the Carpenter's Slide-rule, and Gauging

Harper & Brothers, 1866 - Measurement - 323 pages

Contents

 MEASURES AND WEIGHTS 11 SPHERE 19 Addition of Vulgar Fractions 25 Division of Decimals 31 Rule of Three in Decimals 36 Page 72 DUODECIMALS 109 To extract the Cube Root 117
 PROMISCUOUS EXAMPLES 144 Cube 155 Dodecahedron Icosahedron 163 PYRAMID 170 Segment of a Sphere 177 Cylindrical Ring 184 Segment of Circular Spindle 191 ELLIPSOID PARABOLOID AND HYPER 202

Popular passages

Page 21 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...
Page 43 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Page 37 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 49 - RULE. — From half the sum of the three sides...
Page 22 - To reduce a whole number to an equivalent fraction, having a given denominator. RULE. Multiply the whole number by the given denominator, and place the product over the said denominator, and it will form the fraction required.
Page 22 - To reduce an improper fraction to its equivalent whole or mixed number. RULE. — Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.
Page 31 - ... from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 67 - ... troublesome and laborious that it must have cost him incredible pains. It is said to have been thought so curious a performance, that the numbers were cut on his tomb-stone in St. Peter's Church-yard at Leyden.
Page 14 - Dry Measure. — 2 pints = 1 quart; 8 quarts = 1 peck; 4 pecks = 1 bushel.
Page 82 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.