Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-28T09:53:48.304Z Has data issue: false hasContentIssue false
  • English
  • Français

2. Investigation of analogous properties of Co-ordinates of Elliptic and Hyperbolic Sectors

Published online by Cambridge University Press:  16 March 2015

W. Wallace
W. Wallace
Affiliation:
Emeritus Professor of Mathematics, University of Edinburgh
Get access

Extract

The object of this paper is to investigate, for the ellipse and hyperbola, a series of propositions analogous to those which, in the circle, constitute the calculus of sines.

Any diameter of an ellipse, or a transverse diameter of a hyperbola, is expressed by a, its conjugate diameter by b, and the ratio of these diameters, viz. by c. The nature of the curves is exbpressed by this formula, In the ellipse, c has the sign +, but in the hyperbola the sign −.

Type
Proceedings 1838–39
Information
Proceedings of the Royal Society of Edinburgh , Volume 1 , 1845 , pp. 262 - 263
Copyright
Copyright © Royal Society of Edinburgh 1844

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.)