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 276
pectively to o p, o a, o b, o c, &c. as anypair of homologous sides of the bases.Hence in the triangles P O A and p o a,PO: O A — po : o a, and the angles O and o being right, thetriangles P O A and p o a are similar. Therefore P A : p a =P O : p o, that is (116) as A B : a b, or as any pair of… … 258 ELEMENTS OF SOLID GEOMETRY. sponding sides of the pyramid are proportional to each pair oihomologous sides of the base, and equally inclined to the base.(118) Cor.—The planes of the triangles A PO, BPO, CPO,8cc. apo, b p o, cpo, &c. divide the pyramids into a series of tri-angular pyramids…
Geometry
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