In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature's the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this's defined in different ways depending on the context. There's a key distinction between extrinsic curvature, which's defined for objects embedded in another space (usually a Euclidean space) in a way that relates to the radius of curvature of circles tha… (More on Curvature)