Trace the history of geometry or tell something about the development of geometry?

Answer 1

The Development of Analytic Geometry

Overview

The fundamental idea of analytic geometry, the representation of curved lines by algebraic equations relating two variables, was developed in the seventeenth century by two French scholars, Pierre de Fermat and René Descartes. Their invention followed the modernization of algebra and algebraic notation by François Viète and provided the essential framework for the calculus of Isaac Newton and Gottfried Leibniz. The calculus, in turn, would become an indispensable mathematical tool in the development of physics, astronomy, and engineering over the next two centuries.