📘 differential geometry

1. **Problem Statement:** Show that the evolute of the circle given by the equation $$x^2 + y^2 = a^2$$ reduces to a single point and explain why. 2. **Recall the definition of evo

1. The problem asks to find the radius of curvature $\rho$ at $\theta=0$ for the circle given in polar form: $$r = 2a \cos \theta.$$\n\n2. The general formula for radius of curvatu