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Projective geometry (1910)

Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 89

An illustration from Projective geometry, 1910, leaf 89
FOEMS [Chap. Ill Theorem 10. Any complete quadrangle of a plane can he trans-formed into any complete quadrangle of the same or a different planeby a projective collineation which, if the quadrangles are in the sameplane, is the resultant of a finite number of perspective collineations. (A, E)… … Fig. 30 the quadrangle ABCD invariant and transforming into the fourth,D, any other point D3 not on a side of the triangle ^ti?C(fig. 30). LetD be the intersection of ADZ, BD and consider the homology withcenter A and axis BC transforming D3 into D. Next consider thehomology with center B and axis…

Geometry, Projective

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