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Descartes' geometric algebra

Descartes' geometric algebra combines algebraic equations with geometric shapes, allowing us to describe curves, lines, and points using numbers and formulas. He introduced the coordinate system—using x and y axes—to pinpoint locations in space. This approach lets us translate complex geometric problems into algebraic equations, making them easier to analyze and solve. Essentially, Descartes' work bridges algebra and geometry, providing a powerful toolkit for understanding and working with shapes and their properties in a precise, mathematical way.