Exercises in Concrete Geometry: With Supplementary Discussions

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D.C. Heath & Company, 1906 - Geometry - 84 pages
 

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Page 54 - 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.
Page 29 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides by the projection of the other upon that side.
Page 15 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Page 8 - ... the sum of the interior angles of a polygon of n sides is (n — 2) 180°; or the sum of the exterior angles of a polygon is 360°.
Page 5 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Page 41 - The lateral area of the frustum of a regular pyramid is equal to one-half the product of the slant height and the sum of the perimeters of the bases, (p.
Page 48 - How many square yards of plastering in the walls and ceiling of a room 30 ft.

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