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Projective geometry (1910)

Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 322

An illustration from Projective geometry, 1910, leaf 322
e pair of homologous points, the projectivity be-tween the two conies is fully determined by the correspondent of onepoint, not on /, of the first conic. To show that a projectivity between the two conies which is para-bolic on I does generate a regulus, let A be any point of the firstconic and A… … Fig. 110 two conies as generated by the flat pencils at A and B and at Aand B. The correspondence established between the two flat pencilsat B by letting correspond lines joining B to homologous points ofthe two conies is perspective because the line I corresponds to itself.Hence there is a pencil…

Geometry, Projective

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