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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
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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

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