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

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### Common terms and phrases

12 inches 20 feet 20 inches angle ascertain the Area ascertain the Contents ascertain the Convex ascertain the Surface axis breadth bung and head bung diameter cask central distance Centre of Gravity chord of half circular spindle circumference circumscribing circle cone conic section contents required convex surface cube cubic feet cubic foot cubic inches curve cycloid cylinder decimal denominator divided ellipsoid elliptic ends equal eter Example.—The diameter Example.—What figure fraction gauge point geometrical centre give the contents half the arc head diameters hexahedron hyperbola hyperboloid inscribed sphere less abscissa linear edge middle frustrum multiply the sum number of revolutions ordinate parabola paraboloid perpendicular plane polygon product will give prolate spheroid pyramid quotient radii radius remainder result required rule sector segment side slant height Slide-rule spheroid square feet square root subtract surface required transverse diameter triangle ungula versed sine vertex VULGAR FRACTIONS yards zone

### Popular passages

Page 21 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...

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 14 - Dry Measure. — 2 pints = 1 quart; 8 quarts = 1 peck; 4 pecks = 1 bushel.

Page 31 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.

Page 84 - 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.

Page 60 - To compute, the area of a regular polygon when the length of a side only is given. RULE. — Multiply the square of the side by the multiplier opposite to the name of the polygon in column A of the following table: — Fig.

Page 26 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.

Page 236 - As the conjugate diameter is to the transverse, so is the square root of the difference of the squares of the ordinate and...

Page 142 - Take out the corresponding area, in the next column on the right hand, and multiply it by the square of the longest chord ; the product will be the area of the zone.