Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 84
tivity ir1 on I as follows: The point TTj (A) = A homologous to any point A of I is obtained by the two 8 Sx perspectivities [A] = [At] = [A], where [AA is the pencil of points on n. Every point S{ then, distinct from M, defines a unique pro-jectivity 7T.; we are to show that the set of all these… … constructed. The point Sz giving A! directly from A by a similar con-struction is then uniquely determined as the intersection of the linesAAV m. Let B be any other point of I distinct from M, N, and letB= tt-^B) and B= 7r2(B) be constructed; we must show that we haveB=irz(B). We recognize the…
Geometry, Projective
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