Antiquity. Geron

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One of representatives of new trends in the mathematician, with the stagnancy, braking its development, Geron Alexandria (apprx. I century AD) which, however, often name Geronom Macedonian was torn.

Geron has become history of a science as the scientist who has carried out fundamental change in the mathematician. Geron has connected mathematics with practical requirements of the person and has lowered it from heavens platonovskih ideas on the earth.

Imja Gerona is connected with the known formula of a finding of the area of a triangle 5 if its three parties and, b, with

This formula, including its detailed proof, is resulted in ' to the Metrics ' - the basic mathematical work of Gerona.

' the Metrics ' consists of three books. The first is devoted ways of measurement of the areas and in it the formula specified above, and also examples of extraction of a square root from rational numbers is resulted. Reasonings on a finding of the areas limited to curves contain also.

The Second book ' Metrics ' is devoted definition of volumes of bodies. Geron gives advice how to find volumes ' wrong ' bodies by their immersing in water and measurements of volume of the water superseded by them. This part ' Metrics ' comes to an end with the message that such way of measurement of volume of bodies was applied by Archimedes.

The Third part of the work of Geron has devoted to a problem of division of the areas of figures on a plane and volumes on the parts which are in the certain numerical relation to each other. Though Geron uses thus achievements of Evklida, Archimedes works and Apollonija Pergsky, it brings set of original ideas in the reasonings and - that is especially important - gives an example the approximate decision of a problem of extraction of a cubic root.

The Second work of Gerona ' About dioptre ' testifies that the author, undoubtedly, used mathematical achievements of Egyptians and vavilonjan. In spite of the fact that the treatise ' About dioptre ' under the maintenance is similar on ' the Metrics ', the material in it is given absolutely differently. Formulas here are not deduced, and illustrated by numerous examples. According to some historians of mathematics, the formulation and the drawings used by Geronom in this work, and a choice of problems remind the known papyrus of Ahmesa ascending by the second millenium B.C.