Cutting the lemminscate of Fagnano into equal parts | Scientia

PDF (inglés)

Publicado: 2021-01-08

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

Palabras clave:

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.

Resumen

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.

Número

Sección

Articles

Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.

Cómo citar

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

Artículos más leídos del mismo autor/a

Derek Chen , Sheryar Choudhry, Adina Raluca Corcau, Dunaisky Dunaisky, Blaine Larson, Drew Leahy, Xiang Li, Michael Logal, Alexander R. McCurdy, Qiusu Miao, Paramjyoti Mohapatra, Victor H. Moll, Chi Nguyen, Olivia Peterson, Naveena Ragunathan, Vaishavi Sharma, Brandon Sisler, Rosalie Tarsala, Hassan Zayour, The integrals in Gradshteyn and Ryzhik. Part 31: Forms containing binomials , Scientia: Vol. 32 (2022)
Derek Chen, Tyler Dunaisky, Alexander R. McCurdy, Victor H. Moll, Chi Nguyen, Vaishavi Sharma, The integrals in Gradshteyn and Ryzhik. Part 32: Powers of trigonometric functions , Scientia: Vol. 32 (2022)
Victor H. Moll, Michael Henry, A special collection of definite integrals , Scientia: Vol. 30 (2020)
T. Amdeberhan, Victor H. Moll, Vaishavi Sharma, Christophe Vignat, The valuations of power sums , Scientia: Vol. 35 (2025)
Leyda Almodovar, Alyssa N. Byrnes, Julie Fink, Xiao Guan, Aashita Kesarwani, Gary Lavigne, Victor H. Moll, Luis A. Medina, Isabelle Nogues, Eric Rowland, Amber Yuan, A closed-form solution might be given by a tree. Valuations of quadratic polynomials , Scientia: Vol. 29 (2019)
Tewodros Amdeberhan, Victor H. Moll, Armin Straub, Pat Whitworth, The integrals in Gradshteyn and Ryzhik.Part 9: Combinations of logarithms, rational andtrigonometric functions. , Scientia: Vol. 17 (2009)
Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul, Stephan Ramon García, Jaaziel Lopez de la Luz, Victor H. Moll, Diego Villamizar, Yunied Puig, Symmetric tensor powers of graphs , Scientia: Vol. 36 (2026)
Victor H. Moll, Christophe Vignat, Integrals involving Bernoulli and Euler polynomials , Scientia: Vol. 30 (2020)
Victor H. Moll, The Arithmetic-Harmonic mean and Landen transformations , Scientia: Vol. 29 (2019)
Kristina VanDusen VanDusen, Ivan gonzález, Victor H. Moll, A Comparison of the Method of Brackets with the method of Negative Dimension , Scientia: Vol. 34 (2024)

1 2 3 > >>