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 189
of Conies. * Brianchon et Poncelet in Gergonnes Annales, Vol. II, pp. 205-220. AlsoFiedler in Vierteljahrsschrift d. Naturf.-Ges., Ziirich, Vol. XXX, pp. 390-402. 176 PROJECTIVE GEOMETRY. From the explicit expression of the equation of a pencil of comes (6) u-\-Xu^ = o it is easily found that the… … Fig. 74. polar of any point P with respect to a conic of the pencil alwayspasses through the point of intersection P of the polars of Pwith respect to U and U^. Hence the theorem: All polars of a point with respect to the conies of a pencil areconcurrent. If the point P with the coordinates x^, y^…
Geometry, Projective · Geometry, Analytic
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