Assertion: curvature's curvature | /r/HasProperty | studied
Facets:
value: historically
type: TEMPORAL
Source sentences:
text: The extrinsic curvature of curves in two- and three-space was the first type of curvature to be studied historically, culminating in the Frenet formulas, which describe a space curve entirely in terms of its "curvature," torsion, and the initial starting point and direction.
text: After the curvature of two- and three-dimensional curves was studied, attention turned to the curvature of surfaces in three-space.
text: Mean curvature was the most important for applications at the time and was the most studied, but Gauss was the first to recognize the importance of the Gaussian curvature.
text: The extrinsic curvature of curves in two- and three-space was the first type of curvature to be studied historically, culminating in the Frenet formulas, which describe a space curve entirely in terms of its "curvature," torsion, and the initial starting point and direction.