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Notes

A Simple Proof of the Siebeck–Marden Theorem

Pages 734-736 | Received 03 Oct 2019, Accepted 23 Dec 2019, Published online: 21 Sep 2020

References

  • Badertscher, E. (2014). A simple direct proof of Marden’s theorem. Amer. Math. Monthly. 121(6): 547–548.
  • Bogosel, B. (2017). A geometric proof of the Siebeck–Marden theorem. Amer. Math. Monthly. 124(5): 459–463.
  • Kalman, D. (2008). An elementary proof of Marden’s theorem. Amer. Math. Monthly. 115(4): 330–338. DOI: 10.1080/00029890.2008.11920532.
  • Marden, M. (1966). Geometry of Polynomials. Mathematical Surveys, No. 3, 2nd ed. Providence, RI: American Mathematical Society.
  • Minda, D., Phelps, S. (2008). Triangles, ellipses, and cubic polynomials. Amer. Math. Monthly. 115(8): 679–689. DOI: 10.1080/00029890.2008.11920581.
  • Siebeck, J. (1864). Über eine neue analytische Behandlungweise der Brennpunkte. J. Reine Angew. Math. 64: 175–182.
  • Simmons, G. F. (1992). Calculus Gems: Brief Lives and Memorable Mathematicians. New York, NY: McGraw Hill, Inc.

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