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Yes.
Yes. The geometry taught in today's public schools is based on Euclidian geometry.
Since no one knows exactly when Euclid was born, it's tough to pin down. Somewhere over 2800 years old.
Euclid is famous because he was a great geometrist. Today, his style of geometry is called Euclidean Geometry. I do it at school sometimes because my teacher absolutely adores it and so do I :)