Nova series infinita maxime convergens perimetrum ellipsis exprimens
Leonhard Euler, Artur Diener, Alexander Aycock
TL;DR
This paper presents a new infinite series for the arc length of an ellipse, derived by Euler, with a translation from Latin to German.
Contribution
Euler's derivation of a novel infinite series for elliptical arc length, expanding the mathematical understanding of ellipses.
Findings
Derived a new infinite series for elliptical arc length
Translated Euler's work from Latin to German
Enhanced mathematical tools for studying ellipses
Abstract
The title says what is done here. Euler finds a news series for the arc of an ellipse. The paper is translated from the Latin original into German.
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Taxonomy
TopicsHistory and Theory of Mathematics · Mathematics and Applications · Historical Geography and Cartography