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https://math.answers.com/other-math/Can_parallel_lines_be_curved

Can parallel lines be curved? - Answers

The usual definition is that the lines should be straight. On "alternative geometries", other definitions may be used. For example, on a sphere, the large circles (the largest you can make, whose center is the center of the sphere) replace straight lines. Note that in this case, the normal parallel axiom is no longer valid.



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Can parallel lines be curved? - Answers

https://math.answers.com/other-math/Can_parallel_lines_be_curved

The usual definition is that the lines should be straight. On "alternative geometries", other definitions may be used. For example, on a sphere, the large circles (the largest you can make, whose center is the center of the sphere) replace straight lines. Note that in this case, the normal parallel axiom is no longer valid.



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https://math.answers.com/other-math/Can_parallel_lines_be_curved

Can parallel lines be curved? - Answers

The usual definition is that the lines should be straight. On "alternative geometries", other definitions may be used. For example, on a sphere, the large circles (the largest you can make, whose center is the center of the sphere) replace straight lines. Note that in this case, the normal parallel axiom is no longer valid.

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      The usual definition is that the lines should be straight. On "alternative geometries", other definitions may be used. For example, on a sphere, the large circles (the largest you can make, whose center is the center of the sphere) replace straight lines. Note that in this case, the normal parallel axiom is no longer valid.

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