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The late 5th century BC produced two prominent Greek Hippocrates — contemporaries, with the same first name, in different fields. What did each accomplish?

From the story
The Other Greek Hippocrates Who Wrote the Hippocratic Oath and Was Not the Mathematician

Hippocrates of Cos and Hippocrates of Chios were near-contemporaries — both Greek, both prominent in their fields, both with the same first name — and were occasionally confused even by ancient sources. One founded the European medical tradition; the other wrote the first textbook of European geometry.

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