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One of the fundamental assumptions made in Euclidean Geometry is that space is flat. This is not true. Albert Einstein was able to show, both in mathematical proof and in actual demonstration, that space was curved.

Euclidean geometry, as Euclid intended it, also assumes 2 or 3 dimensions of space. Euclidean geometry has been extended since then to arbitrary dimensions, though many physicists now believe that space has a full 11 dimensions.

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Q: What is the assumption of geometry?
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