Cutting the lemminscate of Fagnano into equal parts

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

doi:10.71712/rn7j-d831

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Published: 2021-01-08

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

Keywords:

Lemniscate, integrals, division of chords

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.

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.

Issue

Vol. 31 (2021)

Section

Articles

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