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math.HO2018★ 4 cited
Chords of an ellipse, Lucas polynomials, and cubic equations
Ben Blum-Smith, Japheth Wood
A beautiful theorem of Thomas Price links the Fibonacci numbers and the Lucas polynomials to the plane geometry of an ellipse, generalizing a classic problem about circles. We give…
math.HO2013★ 16 cited
The Fundamental Theorem on Symmetric Polynomials: History's First Whiff of Galois Theory
Ben Blum-Smith, Samuel Coskey
We describe the Fundamental Theorem on Symmetric Polynomials (FTSP), exposit a classical proof, and offer a novel proof that arose out of an informal course on group theory. The pa…