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Aristotle considered geometry one of the most important sciences, and did some work with point and line planar geometry. He also used geometry as a way into sciences where he did more work, like optics and mechanics.
Geometry has been studied in every civilization that we have written records of. In that sense, no mathematician can have created geometry. Euclid is generally recognized as having pioneered the use of the axiomatic method in mathematics. Of that work, his most famous is his work in geometry.
Analytic geometry.
Geometry can be used in snooker and pool to work out the angles that you need to hit the ball at!
It works for some operators in arithmetic as it does in geometry, and not with other operators.