Explore: Curves Of Double Curvature

significance of the curvature is best illustrated with plane curves (having constant torsion equal to zero). See the page on curvature of plane curves. The Frenet–Serret

terms of the geometry of spacetime, i.e. the curvature of spacetime. These tidal accelerations are strictly local. It is the cumulative total effect of many

curve whose curvature changes linearly with its curve length (the curvature of a circular curve is equal to the reciprocal of the radius). This curve

the curve is called a parametrization, and the curve is a parametric curve. In this article, these curves are sometimes called topological curves to distinguish

than or equal to the order of the curve. In practice, cubic curves are the ones most commonly used. Fifth- and sixth-order curves are sometimes useful, especially

needed] Field curvature can be corrected with the use of a field flattener, designs can also incorporate a curved focal plane like in the case of the human

1st-order contact if the two curves are tangent. 2nd-order contact if the curvatures of the curves are equal. Such curves are said to be osculating. 3rd-order

the surface as measured along curves on the surface. One of the fundamental concepts investigated is the Gaussian curvature, first studied in depth by Carl

geodesic curvature of the curve, κn is the normal curvature of the curve, and τr is the relative torsion (also called geodesic torsion) of the curve. This

the total absolute curvature can never increase as the curve evolves. For convex curves it is constant at 2π and for non-convex curves it decreases monotonically