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Euclid developed Euclidean geometry around 300 BC.

I cannot get much briefer than that.

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Q: Give a brief history of euclidean geometry?
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What is Euclidean geometry mean in math?

Euclidean geometry is the traditional geometry: it is the geometry of a plane surface, as developed by Euclid. Among other things, it is based on Euclid's parallel postulate which said (in effect) that given a line and a point outside that line there could only be one line through that point that was parallel to the given line. It has since been discovered that both alternatives to that postulate - that there are many such lines possible and that there are none - give rise to consistent geometries. These are non-Euclidean geometries.

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