Envelope of Curves

This lecture covers the concept of envelope of curves, where a family of lines passing through specific points is analyzed to find the envelope curve. The process involves deriving equations and finding stationary points. The instructor explains the implicit equations of curves and the parametric representation of super-ellipses. The discussion extends to the curvature of curves and the significance of varying parameters in families of curves. Historical references to mathematicians like Piet Hein and architectural applications are also mentioned.