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Projective geometry (1910)

Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 92

An illustration from Projective geometry, 1910, leaf 92
ned by the construction in the paragraphabove has been proved to be one-to-one throughout. On the line AOit is projective because of the perspectivities (fig. 32) §29] THREE-DIMENSIONAL PROJECTIVITIES 77 On OB, any other line through 0, it is projective because of the per-spectivities (fig. 31) .… … Fig. 32 that any one-dimensional form is transformed into a projective form,so that the correspondence which has been constructed satisfies thedefinition of a projective collineation. Theoeem 12. Any complete five-point in space can he transformedinto any other complete five-point in space by a…

Geometry, Projective

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