Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 60
prove the followingtheorem: 727. Any two diagonals of a complete quadrilateral intersect thethird diagonal in two points which are harmonic conjugates to the twovertices which lie on that diagonal. In Fig. 13 let the two diagonals LN and MK intersect the thirddiagonal PQ in the points R and S… … POINT AND LINE COORDINATES IN A PLANE 47 reference and the point If as the unit point, so that the coordi-nates of P are 0 : 0 :1, those of Q are 1:0:0, those of L are0:1:0, and those of N are 1:1:1. Then by § 23 it is easyto see that the coordinates of B are 1: 0 :1, those of M are 0:1:1, those of…
Geometry, Analytic
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