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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.

8 votes

Euler's rotation theorem revisited - Elementary geometric proofs

Two geometric proofs are given below. Both proofs start off as in Euler's proof, by considering the image $C_{2}$ of a great circle $C_{1}$ under the motion. In proof (1) this is used to construct a n …
Ross Ure Anderson's user avatar
6 votes
3 answers
2k views

Euler's rotation theorem revisited - Elementary geometric proofs

This is a very elementary topic but I thought it might be worth giving it a try here, I would be very interested in any comments - I originally posted it to Maths SE. Euler's Rotation Theorem, proved …
Ross Ure Anderson's user avatar