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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
lues of x and y.This can only be true if (15) ^1i(^^1)(r+/v1)p^1)(?+^1)(?+^1)!=o simultaneously with (13) and (14)- From this the theorem follows: // a quadratic involution 0) rays produces with two projectivequadratic involutions one and the same quartic or cubic, then theproduct of the last two… … Fig. 85. in the indicated direction, then to a point X on the cubic correspondsa point Y on a ray through X parallel to this direction. Joining 202 PROJECTIVE GEOMETRY. X and Y with B2 and producing XB2 and YB2 to their intersec-tions Yx and Xx with the cubic, then X± corresponds to Fx in…

Geometry, Projective · Geometry, Analytic

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