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" If a projectivity leaves each of three distinct points of a line invariant, it leaves every point of the line invariant. "
Projective Geometry - Page 95
by Oswald Veblen, John Wesley Young - 1910
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Transactions of the American Mathematical Society, Volume 16

Electronic journals - 1915
...required collineation. * If Postulate VIII were assumed, the first case only would arise. THEOREM 19. // a projectivity leaves each of three distinct points...invariant it leaves every point of the line invariant. THEOREM 20. // P is a Pn all points are in P . This theorem follows readily from Postulate VI and Theorem...
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PROJECTIVE GEOMETRY

OSWALD VEBLEN - 1910
...50, Chap. VI). We have seen that it is equivalent to the proposition: If a projectivity leaves three points of a line invariant, it leaves every point of the line invariant. Later, by means of a discussion of order and continuity (terms as yet undefined), we shall prove this...
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A SET OF POSTULATES FOR GENERAL PROJECTIVE GEOMETRY

MEYER GRUPP GABA - 1915
...were assumed, the first case only would arise. 1915] POSTULATES FOR PROJECTIVE GEOMETRY 59 THEOREM 19. If a projectivity leaves each of three distinct points...invariant it leaves every point of the line invariant. THEOREM 20. If P is a Pn all points are in P . This theorem follows readily from Postulate VI and Theorem...
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