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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 204

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 204
el rays, and as the involution on it is rectangularit follows that the double points are the circular points. Hence(8) represents a pencil of bicircular cubics. As has been seen already, the tangents to the cubic at the pointsAtA2A3A4 pass through the point P. We shall now prove thatthe tangents at… … Fig. 78. in the Steinerian transformation a conic through Blt B2, B3, U,V, and P. As the ray through P turns in such a manner that Uapproaches B2 as a limit, the corresponding conic will approachthe degenerated conic, consisting of the ray PfB2 and the sideBxBz as a limit. Hence, when the ray…

Geometry, Projective · Geometry, Analytic

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