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 216
antium) hasimagined the following solution. Let the extremes A B, B C be placed at right angles, and the rect-angle completed, and a circle describedround it. Produce D A and D C inde-finitely through A and C. Let a gra-duated straight ruler be made to revolveon the point B, extending on both… … DFD Also since GE = B F, v B E x G E = GF x B F. But(XXXVI, Book III.) BE x GE =DE X CE,also GF x B F =DFxFA, \DExCE=DFx FA. Since these rectangles are equal, their sides (XVI) are reciprocallyproportional, therefore AF:CE=ED:DF.From this and the former proportions we find AB : AF: CE : C B. *#*…
Geometry
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