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 269
he two prisms into which a diagonal planedivides a parallelopiped are equal in volume. Let A B CD, abed, be the bases of the parallelopiped, andA c a diagonal plane. Through a and A draw planes at rightangles to the sides of the given parallelopiped, so as to form arectangular parallelopiped, of… … 250 ELEMENTS OF SOLID GEOMETRY. equal to C C. In the same manner we may prove that d d isequal to D D, and b b to B B. Now suppose the triangle ad! c brought down and placed onADC, which is in every respect equal to it (79).Then the point d! being placed on D, and the linedd coinciding with DD, and…
Geometry
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