Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 87
he center, axis, and anytwo homologous points (not on theaxis or center) are given, with thesingle restriction that the homol-ogous points must he collinearwith 0. (A, E) Proof. Let 0, o be the center and axis respectively (fig. 29). It isclear from the definition that any two homologous points… … Fig. 29 §28] TWO-DIMENSIONAL PEOJECTIVITIES 73 point B homologous to any point B of the plane is then determined.We may assume B to be distinct from 0, A, A and not to be on o.B is on the line OB, and if the line AB meets o in C, then, since Cis invariant by definition, the line AB — A C is…
Geometry, Projective
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