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 333
ce,the segments being equal. Again, if it cut the sides B C proportionally,as in the first figure, crossing one side B, and the production of theother C, then it will bisect the third side A, dividing it into equalsegments, The case of bisection is related to internal section in thesame manner as… … 326 APPENDIX 111. the fourth is a transversal. Hence, if the part of the transversal T Twhich is intercepted between A and B be D, that between B and C, d,and that between C and A, d\ we have the following relations: abc = abc AcD = CaD Bad = Abd C6d = BcDThese, however, are not independent…
Geometry
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