Smart, Edward Howard · London : Macmillian and Co. · leaf 55
t those ofthe given triangle in collinear points. Ex. 3. Examine the case in which the transversal is parallel to aside of the triangle. § 5. A Theorem of Desargues. If the joins of corresponding vertices of two coplanar trianglesare concurrent, the intersections of cmrespoTuUng sides are… … Fig. 10. Since BCX is a transversal cutting the sides of thetriangle BCO, bX CC 0B_ xc CO ■ Fb~ ~ 28 PROJECTIVE GEOMETRY Similarl} from the triangle CAO, CY AA OC _YA A^ C^~ Af A or. AZ BB OA , and from ABO, ^B BO * A^= 1 From the product of these, it appears that BX CY AZ _XC YA ■ ZB~ ~ ■ .*. by…
Geometry, Projective
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