Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 144
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 plane ABGF ; thesesame sides, ST, NO, are included betweenthe parallels NS, OT, which are… … BOOK VIL 145 the equal sides are at the same time parallel, it follows that theangles NOP, OPQ, &;c. of the first section, are equal to theangles STV,TVX, &c. of the second, each to each (Book VI.Prop. XIII.). Hence the two sections NOPQR, STVXY, areequal polygons. Cor. Ever)section in a…
Trigonometry · Geometry
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