What is Non-Euclidean Geometry?

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What is Non-Euclidean Geometry?

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Euclidean geometry is geometry where the shortest distance between two points is a straight line.

Non Euclidean geometry is all geometry where that isn’t true. Now, considering that the definition of a straight line is also “the shortest path between two points” then, in non Euclidean geometry, there is no such thing as a straight line

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