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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 265

An illustration from 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, leaf 265
ef. — If the bases of a rectangular parallelopiped besquares, and the altitude be equal to the side of the base, all itsfaces will be squares. Such a parollelopiped is called a cube. Proposition I. (72) If the bases of two prisms be equal and similar, and two homologous sides of the bases beequally… … 246 ELEMENTS OF SOLID GEOMETRY. Let the base ab cde be placed upon the base ABCDE, sothat the several homologous sides shall coin-cide. Let the side bg be inclined to b a andb c at the same angles as B G is inclined toBA and BC. Hence the side bg coincideswith B G. Since the point a coincides withA…

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