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On Some Properties of Elliptic Circles

Published online by Cambridge University Press:  03 November 2016

S. S. Mittra
S. S. Mittra*
Affiliation:
Department of Pure Mathematics, University of Calcutta
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Extract

Goodner has studied the equations to conic sections in the elliptic plane by following the methods of Euclidean geometry and using Weierstrassian co-ordinates. In the present note the author has investigated several properties of the elliptic circles from the same analytic standpoint and has shown that some of the well-known properties of the Euclidean circles hold as well for the elliptic circles.

Type
Research Article
Information
The Mathematical Gazette , Volume 49 , Issue 367 , February 1965 , pp. 61 - 66
Copyright
Copyright © Mathematical Association 1965

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References

1. Goodner, Dwight B., Conic Sections in the Elliptic Plane, Mathematics Magazine, 34 (1960/61), 81–94.CrossRefGoogle Scholar
2. Sommerville, D. M. Y., The Elements of Non-Euclidean Geometry, New York, Dover Publications, 1958.Google Scholar
3. Askwith, E. H., Analytical Geometry of the Conic Sections, London, A. & Black, C., 1953.Google Scholar