Vecten's Collinearity: What is it about?
A Mathematical Droodle

Explanation

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The following curious fact has been communicated to me by Professor Ricardo Barroso Campos from the University of Sevilla, Spain.

A trigonometric proof in trilinear coordinates could be found at Prof. Campos' site. He credits Montes Valderrama (2004) with the discovery of the fact.

Michel Cabart came up with a generalization and a simple proof in barycentric coordinates.

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