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arxiv: 1703.06866 · v2 · pith:MV2E6BD5new · submitted 2017-03-20 · 🧮 math.NT

The Rational Distance Problem for Equilateral Triangles

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keywords distanceequilateralproblemrationaltrianglesarticlecompletedenote
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Let (P) denote the problem of existence of a point in the plane of a given triangle T, that is at rational distance from all the vertices of T. In this article, we provide a complete solution to (P) for all equilateral triangles.

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