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 281
ve A! a: A A =A d: A! C = Ad: A C. Hence the triangles a A d, A7A,; Care similar, and the lines a d A C are parallel. In the samemanner it may be proved that the lines a! V and A! B are parallel,and therefore the planes b a d and B7 A! C are parallel, and aretherefore equally inclined to the plane… … These faces are not represented in the cut. BOOK THE SECOND. $63 of homologous faces will be parallel, and they will be respectivelysimilarly inclined to the bases and to each other, and in everyrespect similarly placed. (139) By the same reasoning it may be proved that right linesjoining four…
Geometry
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