Cutting the lemminscate of Fagnano into equal parts

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

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 2024-07-11

Keywords

Lemniscate,
integrals,
division of chords

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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