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