Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 74
than its corresponding point. Coeollary 1. If A, B, C and A, B, C are on the same line, threecenters of perspectivity are sufficient to project A, B, C into A, B, Crespectively. (A, E) Corollaey 2. Any three distinct elements of a one-dimensionalprin itive form are projective with any three… … 60 PRIMITIVE GEOMETRIC FORMS [Chap, hi theorems of duality (Theorems 11-13, Chap. I). If they are of differ-ent kinds, a projection or section is sufficient to reduce them to thesame kind. Theoeem 2. The projectivity ABCD-^ BADC holds for any fourdistinct points A, B, C, D of a line. (A, E) Proof.…
Geometry, Projective
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