Write about the reasons of the need of geometry who Descartes and Essay

Write about the reasons of the need of geometry who Descartes and Fermat contributed founding it. Also write about if there was a rivalry between them If there was, what caused it - Essay Example A theorem that is not simple to write more pithily in simple language called the four-line theorem. In addition, if two of the fixed lines correspond then the conduit of P is still a conic other than the predicament the three-line predicament is easier. Furthermore, Fermat presented his own resistant of the three-line theorem, as well as in doing so, he completed use of systematic technique determining position in a plane by two systematize presentation that if the coordinates are correlated by equations like 2x + 3y = 5, subsequently, the point lies on a instantly line along with rapidly. He also exerted out the equations of the curves identified as conic segment as well as he was moderately familiar with direct methods in three extents (Newman, pp. 49-54). Additional work of a comparable character by Fermat transmits to the problem of erect a tangent to a curve by means of infinitesimals. Moreover, he established a method of scheme that resolved a problem of locale. In addition, almost significant was his method of maxima and minima as well (Mahoney, pp.