"La Géométrie" introduces a revolutionary approach to mathematics by merging algebra and geometry into a single discipline. The work outlines the method of using equations to describe geometric shapes and using algebraic formulas to solve geometric problems, thereby laying the groundwork for what is now known as analytic geometry. This treatise fundamentally changed the course of mathematics by providing a systematic framework that allowed for the graphical representation of algebraic equations, and vice versa, thus enabling the precise analysis of geometric spaces using algebra.

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