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A New Cubic Connected with the Triangle

Published online by Cambridge University Press:  03 November 2016

H. L. Trachtenberg
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Extract

The locus of the points of contact of tangents from A to the conics of the confocal system with foci B, C is the same curve as the locus of the feet of normals from A to conies of the system. For any tangent AP to one of the conics is a normal AP to the orthogonal conic of the system through P. Hence if the coordinates of A referred to BC and the perpendicular bisector of BG be x0y0 the equation of this locus is the eliminant of λ between

Type
Research Article
Information
The Mathematical Gazette , Volume 3 , Issue 56 , March 1906 , pp. 288 - 291
Copyright
Copyright © Mathematical Association 1906 

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