A Geometric Proof of the Siebeck–Marden Theorem

DOI10.4169/amer.math.monthly.124.5.459zbMath1391.51009OpenAlexW2605421494WikidataQ58248415 ScholiaQ58248415MaRDI QIDQ4575267

Beniamin Bogosel

Publication date: 13 July 2018

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

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.124.5.459

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Elementary problems in Euclidean geometries (51M04)

Related Items (5)

Drawing Cubes, Finding Integral Cubes, and Solving Cubics ⋮ 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 ⋮ Four Theorems with Their Foci on Ellipses

Cites Work

• The dynamics and internal geometry of the three-city noxious location problem
• Geometry of Cubic Polynomials
• A Simple Direct Proof of Marden's Theorem
• Poncelet Porisms and Beyond
• Triangles, Ellipses, and Cubic Polynomials
• An Elementary Proof of Marden's Theorem
• On stagnation points and streamline topology in vortex flows
• A note on the zeros of the sections of a partial fraction
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