Euler ’ s fixed point theorem : The axis of a rotation

نویسنده

  • Richard Palais
چکیده

We give an elementary proof of what is perhaps the earliest fixed point theorem; namely Leonhard Euler’s theorem of 1775 on the existence of an axis v for any three-dimensional rotation R. The proof is constructive and shows that no multiplications are required to compute v. Mathematics Subject Classification (2000). Primary 55M20, 01A50.

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تاریخ انتشار 2008