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 172
ill he equal, and their planes parallel. Let AB^ CD^ EF^ be three equal and parallel lines. Since AB is equal and paral- mlei to CD, the figure ABDC isa parallelogram; hence, the sideJ. (7 is equal and parallel to BD(b. l, p. 80). For a like reason,the sides AE, BF, are equal andparallel, as also… … PROPOSITION XV. THEOREM. If two straight lines he cut hg three parallel planes, they will hedivided proportionally. Suppose the line xiB to meet the parallel planes MN,PQ, Its, at the points A, E, B; and the line CB to meetthe same planes at the points C, F, D: then AE : EB : : CI^Draw AD meeting…
Geometry · Trigonometry
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