Assertion: curvature's curvature | /r/HasProperty | k g
Facets:
Source sentences:
text: The normal curvature, k n , is the curvature of the curve projected onto the plane containing the curve's tangent T and the surface normal u; the geodesic curvature, k g , is the curvature of the curve projected onto the surface's tangent plane; and the geodesic torsion (or relative torsion), τ r , measures the rate of change of the surface normal around the curve's tangent.
text: In Riemannian geometry, the geodesic curvature k g {\displaystyle k_{g}} of a curve γ {\displaystyle \gamma } measures how far the curve is from being a geodesic.
text: The geodesic curvature k g at a point of a curve c(t), parametrised by arc length, on an oriented surface is defined to be