Cutting the lemminscate of Fagnano into equal parts

Lori Mancuso; Judith Nowalski; Victor H. Moll; Leonardo Solanilla

doi:10.71712/rn7j-d831

Vol. 31 (2021)

Articles

Cutting the lemminscate of Fagnano into equal parts

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Lori Mancuso,
Judith Nowalski,
Victor H. Moll,
Leonardo Solanilla

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Lori Mancuso
Department of Mathematics, University of New Orleans , New Orleans, LA 70148

Judith Nowalski
Department of Mathematics, University of New Orleans , New Orleans, LA 70148.

Victor H. Moll
Department of Mathematics, Tulane University, New Orleans, LA 70118.

Leonardo Solanilla
Departamento de Matemáticas y Estadística, Universidad del Tolima Ibague.

Published 2021-01-08

DOI:

https://doi.org/10.71712/rn7j-d831

Keywords

Lemniscate,
integrals,
division of chords

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Mancuso, L., Nowalski, J., Moll, V. H., & Solanilla, L. (2021). Cutting the lemminscate of Fagnano into equal parts. Scientia Series A: Mathematical Sciences, 31, 1-14. https://doi.org/10.71712/rn7j-d831

Abstract

The work of Fagnano on the lemniscate dealing with equal division of chords is reexamined. The results are expressed in terms of analytic properties of the corresponding integrals.

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Cutting the lemminscate of Fagnano into equal parts

DOI:

Keywords

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Abstract