
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.