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arivero
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#20
Jan11-12, 06:45 PM
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Quote Quote by marcus View Post
1654 was a great year for particle physics!
Descartes – in his 1654 letter to the princess of Bohemia, Elizabeth II – showed that the curvatures of four mutually tangent circles (reciprocal of radii), say a,b,c,d, satisfy the following “Descartes’s formula”...
Nature is showing us she can be completely weird. Or maybe the word is witty.
Ah, also Bruce Schechter, in a comment in June of 2008 to http://dorigo.wordpress.com/2007/02/...vant-exercise/ , noticed the similarity, but did not suggest any way to generalize to 2/3. Jerzy Kocik has done an interesting extension here.