Elements of geometry for the use of schools (1854)
Ireland. Board of National Education · Dublin : A. Thom · leaf 90
XX.If we had two figures D A F G M, D H P ifthesidos ot a i e O X, which we wished to reduce to one with a gii,irsurface equal to that of thetwo taken together, *■ ° similar we should only have to make a right-angle ,!-r,i,,,u J O O figm A D H, with the bases A D, II D, for its sides ; *™ the h and… … To be convinced of this, let us imagine thesquares A B C D, DHKL, A HIE, con-structed on the bases of the three similarfigures. Then according to Art. XVIII. thesquare A H I E will be equal to the squaresABCD, DHKL, taken together. Butsimilar figures are to each other as the squaresof their…
Geometry
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