Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 232
at most three points in common with it. (This fol-lows readily from the last exercise.) 8. The homologous elements of a cone of lines and a projective pencil ofplanes meet in a space curve of the third order such that any plane hasat most three points in common with it. 9. Dualize the last two… … Fig. 88 conic. The construction of the projectivity in this case is verysimple, and leads to many important results. It results from thefollowing theorems: Theokem 12. If A, A are anytwo distinct homologous points ofa projectivity on,a conic, andB,B;C, C; etc., are any other pairs of Theokem 12. If…
Geometry, Projective
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