Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 331
yof these three reguli. But all such reguli meet 7rx and 7r2 in lines(e.g. B-^D^ BJ)2) because they have a in common with tt1 and7r2. Furthermore, the lines of the fundamental reguli join points 116 FAMILIES OF LINES [Chap. XI which correspond in II (Theorem 5 of this chapter and Theorem 18,Chap.… … Fig. 113 Now consider reguli containing triples of the lines already shownto be in the congruence, but not containing a. Three such lines, I,m, n, join three noncollinear points Lv Mv JSft of tt1 to the pointsL2, M2, N2 of 7r2 which correspond to them in the collineation II. Theregulus containing…
Geometry, Projective
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