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摘要
This note offers a short, elementary proof of a result similar to Ptolemy's theorem. Specifically, let d(i,j) denote the distance between P, and P. Let n be a positive integer and Pi, for 1 <= i <= 2n, be cyclically ordered points on a circle. If R-i := (Pi 1 <= j <= 2nj not equal i) d(i,j), then Sigma(n)(i=1) 1/R-2i = Sigma(n)(i=1) 1/R2i-1 (1)
- 出版日期2014-3
