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Projective geometry (1910)

Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 79

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ities one by one, until finallywe obtain the pencil of points [Q] and the perspectivities As a consequence we have the important theorem: Theorem 6. Any two projective pencils of points on skew lines areaxially perspective. (A, E) Proof. The axis of the perspectivity is the line SS of the… … §24] . CORRESPONDENCE 65 all one-to-one reciprocal correspondences as defined in Chap. II, § 13,p. 35, and show in particular how these ideas may be convenientlyrepresented in symbolic form.* As previously indicated (p. 58), wewill represent such correspondences in general by the letters of…

Geometry, Projective

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