Principles of geometry, mensuration, trigonometry, land-surveying and levelling

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Longman, 1855 - 261 pages
 

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Page 56 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Page 27 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.
Page 160 - To the sum of the areas of the two ends add four times the area of a section parallel to and equally distant from both ends, and this last sum multiplied by | of the height will give the solidity.
Page 154 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Page 254 - Knowledge for the Young. The Stepping Stone to Knowledge: Containing upwards of 700 Questions and Answers on Miscellaneous Subjects, adapted to the capacity of Infant Minds. By a MOTHER. 18mo. price Is. The Stepping Stone to Geography: Containing several Hundred Questions and Answers on Geographical Subjects. 18mo.
Page 159 - To find the solid contents of a wedge. Rule. — To twice the length of the base add the length of the edge ; multiply the sum by the breadth of the base, and by the perpendicular height from the base, and one-sixth of the product is the solid contents.
Page 22 - To measure a Parallelogram, or long square. RULE. Multiply the length by the breadth, and the product will be the area or superficial content.
Page 167 - To three times the square of the radius of its base add the square of its height; multiply this sum by the height and the product by 0.5236.
Page 160 - Multiply half the sum of the perimeters of the two ends, by the slant height, and the product will be the surface of the...
Page 7 - If equals be added to equals, the wholes are equal." " If equals be taken from equals,

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