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 196
e DEB (I), and as C E to E B, so isthe triangle C D E to the triangle E D B (I) ; but A D is to D Bas C E to E B (hyp.), therefore A E D is to D E B as C D E to thesame E D B (XI, Book V.), therefore AE D is equal to C D E(IX, Book V.) ; but they are upon the same base D E, and atthe same side of… … 178 ELEMENTS OF EUCLID. distinctly described, and the second part is, strictly speaking, false, in-asmuch as a line may cut two sides proportionally, and yet not beparallel to the third side. To perceive these defects and the manner of correcting them, it isonly necessary to consider in how many…
Geometry
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