The normal elementary geometry : embracing a brief treatise on mensuration and trigonometry : designed for academies, seminaries, high schools, normal schools, and advanced classes in common schools (1884)
Brooks, Edward, 1831-1912 · Philadelphia : Christopher Sower Co. · leaf 141
Aj,similar, BO is parallel to GH; hence,the planes of the bases are parallel(B. Y. Th. X.). Draw SO perpendicular to the base AB ODE; it will also be perpendicular to the base FGHIK a,t some point, P; then (Th. XIII.), SO :SP:: SB. :SG::AB: FG; and, consequently, ISO : \ SP :: AB : FG. But, the… … BOOK VI. 137. But, base ABODE X \ SO is equal to the volume of thepyramid 8—ABODE, and base FGHIK X i SPin equal tothe volume of the pyramid S— FGHIK; hence, the twopyramids are to each other as the cubes of the homologousedges AB and FG-. Therefore, etc. Oor. Similar pyramids are to each other as…
Geometry · Plane trigonometry
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