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arXiv · 1803.01317

New Proofs of Triangle Inequalities

Norihiro Someyama·Mark Lyndon Adamas Borongan
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Abstract

We give three new proofs of the triangle inequality in Euclidean Geometry. There seems to be only one known proof at the moment. It is due to properties of triangles, but our proofs are due to circles or ellipses. We aim to prove the triangle inequality as simple as possible without using properties of triangles.

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Norihiro Someyama, Mark Lyndon Adamas Borongan. 2018-03-04. New Proofs of Triangle Inequalities. https://arxiv.org/abs/1803.01317

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