On the Bicircular Quartic

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DOI:

https://doi.org/10.18311/jims/1914/17708

Abstract

A fundamental theorem of the general bicircular quantic, given by Casey, is the following:-

A bicircular quartic can be generated in four and only four ways as the envelope of a circle which cuts a fixed circle orthogonally and whose centre moves on a fixed central conic. This fixed conic is called a focal conic and the four focal conies corresponding to the four methods of generating the quartic are confocal, their foci being the double foci of the quartic.

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Published

1914-04-01

How to Cite

Wilkinson, A. C. L. (1914). On the Bicircular Quartic. The Journal of the Indian Mathematical Society, 6(1), 44–57. https://doi.org/10.18311/jims/1914/17708

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