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Generalisation of Plücker's Theorem

Published online by Cambridge University Press:  03 November 2016

N. M. Gibbins
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Extract

It is known that if S be one of a range of conics touching four given lines, and if XP be a variable line through a given point X, then (a) there exists a line p′ which is conjugate to XP with respect to every S, and (b) p′ touches a fixed conic σ, which is the eleven-line conic of X with respect to the range, and which is also the envelope of the polar of X with respect to the range. Let us call this conic the σ of X.

Type
Research Article
Information
The Mathematical Gazette , Volume 18 , Issue 231 , December 1934 , pp. 315 - 320
Copyright
Copyright © Mathematical Association 1934

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