An Elementary Geometry

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Thompson and Company, 1872 - 110 ページ
 

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25 ページ - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
30 ページ - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
27 ページ - If the product of two quantities is equal to the product of two others, the...
43 ページ - The area of a regular polygon is equal to half the product of its perimeter and apothem.
11 ページ - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
23 ページ - If two triangles have two sides of one respectively equal to two sides of the other, but the third sides unequal...
20 ページ - ... polygon, is equal to twice as many right angles as the polygon has sides minus two.
49 ページ - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
70 ページ - A right cylinder is a solid described by the revolution of a rectangle about one of its sides.
64 ページ - DEFINITIONS. 1 . A straight line is perpendicular to a plane, when it is perpendicular to every straight line of the plane which it meets.

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