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 137
have the same altitude, and their bases in thesame plane, the sections made by a plane parallel to theirbases are to each other as their bases. Let S— ABCBE and S—MNO be two pyramids, havingthe same altitude, andtheir bases in the sameplane; and let GHIKLand PQB, he sectionsmade by a plane… … BOOK VI. 133 AB:GH::SA:SG.Hence, ABODE: GHIKL :: #Z2: SG\ For a similar reason, MNO : PQB :: SM>: SP1-But (B. V. Th. XI.) we have, 8A:SG::SM:SP:Hence, AB ODE: GHIKL :: MNO : PQB. Therefore, etc. Cor. 1. If the bases are equal, any two sections parallel tothe bases at equal distances from the…
Geometry · Plane trigonometry
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