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She lay, twitching a bit and moaning, with her head and shoulders slumping toward her knees, her thighs in a tangent curve to her legs.
The two highways curve southeast and cross over CSX's Andrews Subdivision before SC 41 splits to the north on a tangent curve.
Sprays arise naturally in Riemannian and Finsler geometry as the geodesic sprays, whose integral curves are precisely the tangent curves of locally length minimizing curves.
If we plotted economic growth or population growth rates on a graph from, let's say, the year zero, we would obtain a tangent curve, with the sharp bend occurring in the 19th century.
Even more generally, one can consider the problem of four tangent curves that result from the intersections of an arbitrary quadratic surface and four planes, a problem first considered by Charles Dupin.