The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals (1861)
Lardner, Dionysius, 1793-1859 · London : Print. for Taylor and Walton · leaf 335
oved of the other lines of the figure. Theorem. (25) If two points C and F be given in position, and an indefinite rightline M N parallel to CF being drawn, a series of points P, P, P, fyc.be assumed upon it at equal distances, and right lines diverging from Fpass through these points P, P, P, fyc,… … APPENDIX III. 329 Draw any transversal C A. Then Co .. Co .. Co .. Co . . &c.From o draw a m parallel to F C or M N, and from n draw n pparallel toFm. Because F C and a m are parallel, we have F C : a m = F a : a m.But since P P = P P, and a m is parallel to PP, a n=n m,and since np is parallel…
Geometry
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