Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 37
). The line AB in aA meets a ina point Q (Theorem 5), which is on a, since AB is on a. That aand a have no other point in common follows from Theorem 4. Corollary 1. Any two distinct planes on a three-space are on oneand only one common line. (A, E 0) The proof is similar to that of Theorem 8, Cor.… … Fig. 12 §9] THE THBEE-SPACE 23 Proof. If the planes a and ft are distinct and have a line I incommon, any point P of ft not on I will determine with a a three-space containing I and P and hence containing ft (Theorem 8, Cor. 2). Corollary 3. Three planes on a three-space which are not on acommon…
Geometry, Projective
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