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On a Representation of Elliptic Integrals by Curvilinear Arcs

Published online by Cambridge University Press:  20 January 2009

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It is well known that the elliptic integral of the second kind may be represented by the arc of an ellipse, and mathematicians have sought with various success to represent similarly by the arc of an algebraic curve the elliptic integral of the first kind. The general solution of the problem has not been obtained, but Serret and Cayley have given solutions of a very general character.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1890