Cutting the lemminscate of Fagnano into equal parts

2025/08/25 by Mancuso, Lori, Nowalski, Judith, Moll, Victor H. +1
#FOS: Mathematics #Lemniscate #integrals

paper · doi: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.

Related

• The Lemniscate
• Lemniscates as Trajectories of Quadratic Differentials (I)
• Notes on Lebesgue integration
• The Lemniscate of Bernoulli, Without Formulas
• A note on an integral by Grigorii Mikhailovich Fichtenholz