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They are not alike euclidean is based on a plane. non-euclidean is based on a sphere, similar to earth. Both forms are correct based on the proof the formulas provide. However neither are 100 percent accurate since, although it looks like earth a sphere it is not. The gravitational pole contributes to earth being misshaped and is more of an oval. True geometry would have to take this in consideration when calculating something as simple as the angles of a triangle.

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Q: How are euclidean and non-euclidean geometry alike?
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