Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 144
surface is equal to thesum of all the rectangles AG, BH, CI,DK, EF, which compose it. Now, thealtitudes AF, BG, CH, &c. of the rect-angles, are equal to the altitude of theprism. Hence, the sum of these rectan-gles, or the convex surface of the prism,isequalto(AB4-BC + CD4-DE + EA)xAF ; that… … PROPOSITION II. THEOREM. In every prism, the sections formed by parallel planes, are equal polygons. Let the prism AH be intersected bythe parallel planes NF, SV ; then are thepolygons NOPQR, STVXY equal. For, the sides ST, NO, are parallel,being the intersections of two parallelplanes with a third…
Trigonometry · Geometry
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