Hippocrates de Chios

See also: Hippocrates (homonymy)

Hippocrates , born with Tap-holes towards -470 and died towards -410, is a Greek Mathématicien. Sometimes one finds it under the name of Ibicrate the geometrician , not to confuse it with Hippocrates, the father of medicine, born in Cos.

He discovers the Mathématiques and the Géométrie fortuitously. Whereas he was merchant, its boat was made attack by pirates on the Aegean Sea. It unloads in Athens in 430 acn to engage continuations against its attackers, is impassioned for this city and starts to study with a Sophiste name of Sophrotatos which brought it to reflect on the Quadrature of the circle.

In the document which it compiles on the squaring of the lunules it is one of the first to have introduced a method of integration to solve such problems. It establishes on this subject some Theorem S such as for example: For does not import which Circle, the report/ratio of the circumferences is equal to the report/ratio Diameter S.

It would have been the first to write a synthesis of knowledge geometrical of its time, work undoubtedly resumed by Euclide in books I and II of the Elements . Aristote regarded it as a large geometrician, but found that with the daily newspaper it appeared rather “denied and stupid”. One him allot the paternity of the Raisonnement by the absurdity one of bases of the Logical which makes it possible to show the truth of one proposal by proving that its opposite is absurd.

Hippocrates de Chios wrote the first work of elements of Geometry known, one century before Euclide. We do not have the work in its entirety. The elements of Hippocrates are to us known by the references made in works of commentators more recent (Proclus and Simplicius de Cilicie). Three discovered is with to put at its credit:

it determined the surface of lunules;
the report/ratio of surfaces of two circles is the same one as that of the squares of their rays;
it studied the problem of the duplication of the cube (to build a double cube of volume).

Alfred Jarry also allots to him, under the name of Ibicrate, the origin of Pataphysique.

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