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Vol 1 No 2
Pages:
92-93
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Research article
Without section

New derivation of the Wallis formula

Authors:
Ye. К. Mitkevich-Volchassky
Date submitted:
1907-12-16
Date accepted:
1908-02-15
Date published:
1908-06-01

Abstract

This note examines the expression of the length of the arcs of an ellipse and a hyperbola using infinite series (see article). Adding up all these equalities and making reductions, we obtain the following formula, which is nothing more than the Wallis formula. The same result could be obtained by finding the arc length of the hyperbola.

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