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X.—On the Contact of the Loops of Epicycloidal Curves

Published online by Cambridge University Press:  17 January 2013

Edward Sang Esq.
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Extract

During the summer vacation, Mr Henry Perigal of London proposed to me the following problem:—

“To determine the proportions of an epicycloid of which the loops touch each other.”

The solution of this problem contains some points of interest to the general analyst, and exhibits relations between certain trigonometric formulæ and algebraic equations. I, therefore, offer an outline of it to the attention of the Royal Society.

Type
Transactions
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 24 , Issue 1 , 1865 , pp. 121 - 125
Copyright
Copyright © Royal Society of Edinburgh 1865

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