Triangles, Ellipses, and Cubic Polynomials
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Publication:3107125
DOI10.1080/00029890.2008.11920581zbMath1229.12002OpenAlexW2398223863WikidataQ55968228 ScholiaQ55968228MaRDI QIDQ3107125
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Publication date: 1 January 2012
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00029890.2008.11920581
Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Inequalities and extremum problems in real or complex geometry (51M16) Analytic geometry, vector algebra (educational aspects) (97G70) Groups, rings, fields (educational aspects) (97H40)
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A Geometric Proof of the Siebeck–Marden Theorem ⋮ A Generalization of the Steiner Inellipse ⋮ Duality and inscribed ellipses ⋮ A Simple Proof of the Siebeck–Marden Theorem ⋮ The Joukowsky Map Reveals the Cubic Equation ⋮ Matricial Proofs of Some Classical Results about Critical Point Location ⋮ A generalization of the Bôcher-Grace theorem ⋮ Cubics, hyperbolas and Steiner ellipses ⋮ Four Theorems with Their Foci on Ellipses ⋮ Pitot's theorem, dynamic geometry and conics
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