Euclidean and Non Euclidean spaces and geometry

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What is the differences and what are the uses of non Euclidean geometry in the real world if there are any?

In: Mathematics

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Spherical geometry: the earth is a globe(ish) so geodesics (shortest paths) come in handy when sailing and flying.
Hyperbolic geometry: curved space time was discovered to follow this geometry.
Taxicab geometry: getting around a grid city

Just to name a few.

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