diagonal,to form the triangle required by the theorems ofCeva and Menelaus. Then the point in which the othertwo sides intersect is the point (Thm. of Ceva), andthe other diagonal not through the intersection of thetwo sides first taken is the cutting line (Thm. ofMenelaus). The Proposition enables… … Thus let A, B, C be the three given points. ThroughA draw any two lines AE, AF; and through B drawan} line cutting the former in E and F. Let CEcut AF i H, and CF cut AE in G. Th<^n HG in- 268 Geometry. tersecis AC in a point D, such that A, B, C, D form aharmonic range. For the quadrilateral…
Geometry · Geometry, Plane
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