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 334
he points, where the inscribedcircle touches the sides. Theorem. (16) If transversals be drawn throughthe vertices ABC of a triangle,intersecting at the same point, o,and other transversals cross eachpair of sides at the same points asthe former, meeting the third sidesat the points OOO, every line… … Ca = &C. Ac.and A c, Ba.Ba dj a similar reasoning eaen oi ine rouowingOA..O& .. OC 1 Oc Om.. Oa 1OA .. Oc .. OB [ Ob .. On .. Oa \O B.. 0a .. 0C J 0c .. 0p.. 0b J } OA.Bc.Cfi = OC.Ac.Bfl.These equal products having the multipliers B c, C acommon, the remaining ones are proportional; that…
Geometry
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
