👉 In mathematics, a curve is defined as the locus of points that move in such a way that their distance from a fixed point (the center) remains constant. The curvature of a curve at a specific point on its path describes how steeply it curves at that point. The term "curvatures" refers to the measure or degree of curvature of a curve, which can be defined as the ratio of the absolute value of the first derivative of the curve (the slope) with respect to time