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 267
rough each pairof them intersect, each dividing the other intotwo equal parallelograms, and the diagonalsof each bisecting and being bisected by theircommon intersection. Let A a c C be the diagonal plane through the opposite edgesA a and C c, and D d b B that through the oppositeedges D d and B b,… … BOOK THE SECOND. 249 BD bisect each other at M. Hence it is evident that the paral-lelogram A m is equal to the parallelogram C m, and in likemanner B m is equal to D m. Also since a c is bisected at m, and m O is parallel to a A, A cmust be bisected at O. And since m O is half of a A, it is…
Geometry
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