Meusnier's Theorem

Meusnier's Theorem relates to the curvature of surfaces in geometry. It states that the curvature at a point on a surface can be understood in terms of two specific measurements: the maximum and minimum curvatures that can occur in any direction at that point. This helps in understanding how a surface bends or twists. In essence, it provides a way to describe the shape of a surface mathematically, revealing whether it is saddle-shaped, flat, or dome-like, thus helping in fields like architecture, engineering, and computer graphics.