The Difference between Profile and Plan Curvature Measures.What is the difference between profile and plan curvature measures?

The Difference between Profile and Plan Curvature Measures

Profile and plan curvature measures are two different ways of describing the curvature of a surface. Profile curvature is measured along a line or curve, while plan curvature is measured over a plane. In other words, profile curvature measures the curvature of an individual line or curve, while plan curvature measures the curvature of an entire surface. For example, a circular arc has a profile curvature of one, while its plan curvature is zero (Agarwal, 2018). Profile curvature is the most common of the two measures and is used to characterize the shape of a line or curve. It is typically measured along the normal line at a given point, which is the line that is perpendicular to the surface at that point (Agarwal, 2018). Plan curvature, on the other hand, measures the curvature of a surface rather than an individual line or curve. It is usually measured over a plane that is parallel to the surface at a given point (Agarwal, 2018). Overall, profile curvature measures the curvature of an individual line or curve, while plan curvature measures the curvature of an entire surface. Cont…