Chords of an Ellipse, Lucas Polynomials, and Cubic Equations

DOI10.1080/00029890.2020.1785253zbMath1471.11046arXiv1810.00492OpenAlexW3103872174MaRDI QIDQ5124648

Japheth Wood, Ben Blum-Smith

Publication date: 30 September 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00492

zbMATH Keywords

generalized Lucas polynomialsCardano's methodroots of the Lucas polynomials

Mathematics Subject Classification ID

History of mathematics in the 15th and 16th centuries, Renaissance (01A40) Elementary problems in Euclidean geometries (51M04) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Products of Sines and Cosines
• The Fundamental Theorem on Symmetric Polynomials: History's First Whiff of Galois Theory
• Products of Chord Lengths of an Ellipse
• The Product of Chord Lengths of a Circle
• Extension of a Theorem about the Circle
• Ein Satz vom Kreis
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