Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 105
Fig. 40 Theoeem 13. Any line of the spatial net R3 defined by R2, R2 meetsRf and R22. (A, E) … Fig. 41 Proof. By definition the given line I contains two points A and Bof the net R3 (fig. 41). If A or B is on R2 or R2, the theorem reducesto the lemma. If not, let Px be a point of Rx2, and A2 and B2 the pointsin which, by the lemma, PXA and PXB meet R22; also let Px be any 34] NETS OF…
Geometry, Projective
Internet Archive · Wellesley College Library · Public Domain Mark 1.0. Free to use for anything.