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A Mathematical proof

  1. Mar 21, 2016 #1
    Some of proofs without words have been described using Euclidian Geometry, do those proofs still hold alike in Riemmanian Geometry?
  2. jcsd
  3. Mar 21, 2016 #2

    Buzz Bloom

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    Gold Member

    Hi Patrick:

    Riemannian space with zero curvature is the same as Euclidean space (at least for 2 and 3 dimensions). So in principle any Euclidean Geometry proof would also be valid in a Riemannian space with a zero curvature tensor. It would likely not be valid in a Riemannian space with non-zero curvature.

    If you can post some examples of particular Euclidean Geometry proofs, I might be able to offer a more specific answer.

    Hope this helps.

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