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arXiv · 1701.07339

Loci of Points Inspired by Viviani's Theorem

Elias Abboud
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Abstract

We consider loci of points such that their sum of distances or sum of squared distances to each of the sides of a given triangle is constant. These loci are inspired by Viviani's theorem and its extension. The former locus is a line segment or the whole triangle and the latter locus is an ellipse.

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Elias Abboud. 2017-01-24. Loci of Points Inspired by Viviani's Theorem. https://arxiv.org/abs/1701.07339

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