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.

Introduction
What is curvature
How to calculate curvature
Even of the curve
Formula