A point in many triangles.

Bukh, Boris

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The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.

Miguel de Guzmán (2001)

RACSAM

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A simple proof is presented of a famous, and difficult, theorem by Jakob Steiner. By means of a straightforward transformation of the triangle, the proof of the theorem is reduced to the case of the equilateral triangle. Several relations of the Steiner deltoid with the Feuerbach circle and the Morley triangle appear then as obvious.