Folding the Circle as Both Whole and Part
Bradford Hansen-Smith (2005)
Visual Mathematics
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Displaying similar documents to “On an application of the theorem of Apollonius”
Folding the Circle as Both Whole and Part
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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.
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