New Elementary Geometry, with Practical Applications

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R. S. Davis & Company, 1875 - Geometry - 176 pages

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Page 22 - If two triangles have two sides of the one equal to two sides of the...
Page 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Page 61 - At a point in a given straight line to make an angle equal to a given angle.
Page 47 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 88 - FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.
Page 126 - The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'.
Page 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel.
Page 26 - If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line...
Page 41 - 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.

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