Scientia Series A: Mathematical Sciences

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
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

Keywords

  • Lemniscate,
  • integrals,
  • division of chords

Copyright (c) 2021 Scientia Series A: Mathematical Sciences

Creative Commons License

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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