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Bride's Chair Concurrency

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Bride's Chair Locus

Heron or Hero (c. 10-70 AD) of Alexandria gave a proof of this result (see Hawking, S. (Ed.), 2005, God created the integers: Mathematical breakthroughs that changed history. London: Penguin Books, pp. 23-24.)

Coxexter, H.S.M. & Greitzer, S.L., 1967, Geometry Revisited. Washington: Mathematical Association gives it as an exercise on p. 84, and a proof using Ceva's theorem on p. 169.

Go to Bride's Chair General for a Generalization of the above result.


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Updated, Michael de Villiers, 1 November 2010.