The New Proof of Euler's Inequality Using Spieker Center


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Authors

  • Dasari Naga Vijay Krishna Department of Mathematics, Keshava Reddy Educational Instutions, Machiliaptnam, Kurnool, India

Keywords:

Euler's Inequality, Circumcenter, Incenter, Circumradius, Inradius, Cleaver, Spieker Center, Medial Triangle, Stewart's Theorem

Abstract

If R is the Circumradius and r is the Inradius of a non-degenerate triangle then due to EULER we have an inequality referred as  Euler's Inequality which states that $R\geq 2r$, and the equality holds when the triangle is Equilateral. In this article let us prove this famous inequality using the idea of  Spieker Center.

Published

30-12-2015

How to Cite

Dasari Naga Vijay Krishna. (2015). The New Proof of Euler’s Inequality Using Spieker Center. International Journal of Mathematics And Its Applications, 3(4 - E), 67–73. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/527

Issue

Vol. 3 No. 4 - E (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.