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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 214

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 214
rays produces with two projectivequadratic involutions one and the same quartic or cubic, then theproduct oj the last two involutions is the same quartic or cubic. CURVES OF THE THIRD ORDER. 20i 4. Considering again the construction of a cubic by the Stein-erian transformation, Fig. 85, and taking… … Fig. 85. in the indicated direction, then to a point X on the cubic correspondsa point F on a ray through X parallel to this direction. Joining 202 PROJECTIVE GEOMETRY. X and Y with B^ and producing XB^ and YB^ to their intersec-tions Fi and X^ with the cubic, then X^ corresponds to F^ in…

Geometry, Projective · Geometry, Analytic

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