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Centre of Curvature for the Conics

Published online by Cambridge University Press:  03 November 2016

Robert C. Yates
Robert C. Yates*
Affiliation:
West Point, N.Y., U.S.A.
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Extract

The determination of centres of curvature and evolutes of well-known curves still forms an item of interest in the customary first course in Calculus. This note calls attention to an elegant construction for the centre of curvature of the conic based upon a property apparently forgotten [1] and offers an excuse for the consideration of evolutes.

Information

Type
Research Article
Information
The Mathematical Gazette , Volume 35 , Issue 311 , February 1951 , pp. 19 - 22
Copyright
Copyright © The Mathematical Association 1951

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References

References.

1. Niewenglowski, B.: Cours de Géométrie analytique, II, Paris (1895), 248 ff.Google Scholar
2. Heath, R. S.: Geometrical Optics, Cambridge University Press (1895), Chap. VI.Google Scholar
3. Yates, R. C.: Curves, Edwards Brothers, Ann Arbor, Michigan, (1947) 15–20, 53–55.Google Scholar