Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-24T16:09:11.833Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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.

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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