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Article ID: CBB000931349

The Geometrical Method of Hippocrates of Chios (2006)

Karasmanis, Vassilis (Author)

Neusis: The Greek Journal for the History and Philosophy of Science and Technology
Volume: 15
Pages: 110--122

Publication Date: 2006
Edition Details: [Translated title.] In Greek.

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Geometry Proof Analytical geometry Mathematics Ancient Greece Hippocrates of Chios Plato

In this paper it is argued that Hippocrates of Chios was the first to apply in geometry a kind of indirect proof called "apagoge" (reduction). Apagoge seems to be an early stage of the geometrical method of analysis and synthesis. Finally, it is argued that the hypothetical method of the geometers, to which Plato refers to in the Meno, is the apagoge of Hippocrates of Chios.

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