The Curvature of a Parabola, Without Calculus - Rational Geometry Math Foundations

Explore an algebraic approach to calculating the curvature of a parabola without using calculus in this 24-minute mathematics video. Learn how to derive a classical formula for the curvature of the standard parabola y=x^2 using the relationship between the circumquadrance of a circle and the quadrances and quadrea of a circumscribed triangle. Discover how this method can be applied to various algebraic curves, providing an alternative to traditional calculus-based curvature calculations. Gain insights into quadratic curvature and its relation to standard curvature measurements in planar geometry.