Takens also established the result now known as the Takens' theorem, which shows how to reconstruct a dynamical system from an observed time-series.
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By Thales' theorem, this is a right triangle with right angle at B. Let the length of A′B be cn, which we call the complement of sn; thus cn2+sn2 = (2r)2.
René Descartes discussed the problem briefly in 1643, in a letter to Princess Elisabeth of the Palatinate.
For Mertens' results on the distribution of prime numbers, see Mertens' theorems.
The C.P.T. Theorem is the second album from rapper Greydon Square.