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An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)

Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 56

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 56
igureA and B are the real double-points, a and b the real double-rays of the involution. It is noticed that in this hyperbolic invo-lution each pair is separated by the double-elements. Two pairseither exclude each other entirely, like CC and DD, or includeeach other entirely, Hke DD and EE. If P… … Fig. 17. The polar of the center is the Hne at infinity. To every diam-eter a as a polar corresponds a pole A which is the infinite pointof the perpendicular diameter a\ Thus a and a are a pair ofthe polar involution about the center. In fact the rays of eachpair are perpendicular to each other. To…

Geometry, Projective · Geometry, Analytic

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