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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 285

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 285
c. Draw the plane BCa. This cdivides the solid into the pyramid A B C a, and \the solid a b c B C. Draw the plane a b C.This divides the latter solid into two pyramids,whose bases are b c C and B C &, and of which ais the common vertex. The pyramid whosebase is B C b and vertex a is equal to… … BOOK THE SECOND. 267 the vertex a. Hence, in like manner, the pyramid Ca c b is equalto C b c A, for they have the same base C b c and equal altitudes,since A a is parallel to that base. But the pyramid AbcC isequal to the pyramid ABcC, for they have the same base A cCand equal altitudes, since…

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