Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 220
ous coordinate systems fora space of n dimensions, and establish the formulas for an n-dimensionalprojective collineation. CHAPTER VIII PROJECTIVITIES IN ONE-DIMENSIONAL FORMS* 73. Characteristic throw and cross ratio. Theokem 1. If M, N are double points of a projectivity on a line,and AA, BB are… … B A Fig. 85 SB meet in B. The points A, B, i^are then collinear (Theorem 23, Chap. IV). If the line AB meets SS in a point Q, we have A B MNAA = MQSS = MNBB. This proves the theorem, which may also be stated as follows: The throws consisting of the pair of double points in a given orderand any pair…
Geometry, Projective
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