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20082017
most citedOn Viviani's Theorem and its Extensions

1 citations · 1 across the 7 of their papers we have counts for

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Showing 2017Show all

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math.OC2017

Minimal Sum of Powered Distances from the Sides of a Triangle

Elias Abboud

In this paper we apply the KKT conditions to find the minimal sum of powered distances from the sides of an arbitrary triangle.

math.HO2017

Loci of Points Inspired by Viviani's Theorem

Elias Abboud

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 t…