Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States (1856)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York : A.S. Barnes · leaf 182
to ST. For like reasons, thesides OP, PQ, QR, &c., of the sectionNOPQB, are equal to the sides 7V,VX, XT, &c., of the section STVXY,each to each ; and since the equalsides are at the same time j)arallel, itfollows that the angles NOP, OPQ, &c., of the first section,are equal to the… … PROPOSITION III. THEOREM. Tf a pyramid he cut hy a plane parallel to its hase: 1st. The edges and the altitude ivill he divided 2)roportionaUi/: 2d. The section will he a polygon similar to the hase. Let the pyramid S-ABODE, of which SO is the altitudebe cut by the plane ahcde-, then will Sa : SA…
Geometry · Trigonometry
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