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On the Envelope of the Directrices of a System of Similar Conics through three Points

Published online by Cambridge University Press:  20 January 2009

R. E. Allardice
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The problem was proposed by Steiner of finding certain loci and envelopes connected with a system of similar conics through three points. In previous papers I have found the locus of centres and the envelope of asymptotes of such a system of conics, also the envelope of axes, and the locus of foci. I now propose to discuss the envelope of the directrices.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 29 , February 1910 , pp. 35 - 38
Copyright
Copyright © Edinburgh Mathematical Society 1910

References

* On some curves connected with a system of similar conics, Annals of Mathematics, second series, vol. 3, No. 4 (1902).

† On the envelope of the axes of a system of conics passing through three fixed points, Transactions of the American Mathematical Society, vol. 4, No. 1 (1903).

† On the locus of the foci of a system of similar conics through three points, Proceedings of the Edinburgh Mathematioal Society, vol. XXVII., Session 1908–09.