ORCiD
0000-0003-0352-1963
Abstract
Euler continues his study of algebraic curves with equal arc length, a subject to which he returned several times. After a brief review, he introduces an infinite family of curves with the same indefinite length as a given ellipse. However, this first family is by his own admission poorly motivated, so he derives directly a different but related family of curves with the same indefinite length as a given ellipse.
Last Page
15
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Recommended Citation
Aoki, Derek R.
(2026)
"About Infinite Algebraic Curves whose Indefinite Lengths Equal an Elliptic Arc: An English Translation of E780,"
Euleriana: 6(1), pp.3-15.
DOI: https://doi.org/10.56031/2693-9908.1107
Available at:
https://scholarlycommons.pacific.edu/euleriana/vol6/iss1/2