A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 223
itude, cut bythe planes abc and abcde, parallel to andat equal distances from their bases; then isabc : abcde : : ABC : ABCDE. For, conceive the bases in the sameplane. Let SP = SP be the common alti-tude, and Sp = Sp the distances of thecutting planes from the vertex. We have -ycs- Also, ABCDE :… … Fig. 306. ABC : abc -.. AB ab SJ : Sp (?) I PROPOSITION III. 513* Tlieorem.—TJie area of the lateral surface of a rightpyra7nid is equal to the perimeter of the base m.ultijMed by one-halfthe slant height. ^. Dem.—The faces of such a pyramid are equal isosceles triangles (?), whosecommon altitude…
Geometry · Trigonometry
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