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 217
ar triangles,H C ; a :: d : B F, v HC=DI Since B D A is isosceles, thesquare of D F is equal to the rectangle under AFandFB, togetherwith the square of B D. But also the square of D F is equal thesquare of the sum of H C, and half of A C, or to the rectangle underAH and H C, together with the… … AHAHAC : AF : af :B F or a : ACBFHCHC d. BF,HC,AB,AB, *#* (590) There are various other mechanical solutions for thiscelebrated problem. We shall, however, only mention the contrivanceof Descartes, by which any number of means may be found betweentwo given extremes. liOOK THE SIXTH. 199
Geometry
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