The maximum piercing number for some classes of convex sets with the -property.

Kynčl, Jan; Tancer, Martin

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Displaying similar documents to “The maximum piercing number for some classes of convex sets with the $(4, 3)$ -property.”

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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.