A possibly new proof of Euler’s Triangle Inequality

Cosmin Pohoata, A possibly new proof of Euler’s Triangle Inequality. (Link to the PDF file)

In this note, we give a possibly new proof of Euler’s Inequality that in any triangle with circumradius R and inradius r, we have that R \geq 2r.

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Plato

As the famous phrase engraved at the door of Plato's Academy might suggest, this website is mainly dedicated to Euclidean Geometry. This historic area of mathematics goes nowadays through a new resurrection emerged from the journal Forum Geometricorum, from Clark Kimberling's Encyclopedia of Triangle Centers, from personal sites like the ones of Jean-Louis Ayme (in French), Deko Dekov, Francisco Javier Garcia Capitan, Bernard Gibert, Darij Grinberg, Steve Sigur, Paul Yiu, and last but not least, from the daily active Yahoo newsgroup "Hyacinthos" - named in honor of the great geometer Emile Michel Hyacinthe Lemoine.

About the contents

This website is actually an interactive version of my resume, containing a great part of my mathematical publications.