Euclidean and non-Euclidean spaces?

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Like I kinda know they have to do with actual space but what?

In: Mathematics

4 Answers

Anonymous 0 Comments

Maybe the easiest way to view it are parallel lines. If you have two parallel lines, is the distance between them always the same no matter where exactly you measure them? If so, then you have Euclidean space, otherwise you don’t.

Sometimes you don’t even have parallel lines at all, like on the surface of a sphere. Assuming the Earth to be a sphere, the equator is a straight line on its surface (it never goes left or right). All meridians are similarly straight lines. The latitudes other the equator are not straight lines – if you walk on the Earth so that you follow one of these latitudes, you’ll have to slightly curve towards the left or right to do so.

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