Assertion: curvature | /r/HasProperty | congruent
Facets:
value: by a euclidean motion
type: MANNER
Source sentences:
text: Roughly speaking, two curves C and C′ in space are congruent if one can be rigidly moved to the other.
text: Moreover, using the Frenet–Serret frame, one can also prove the converse: any two curves having the same curvature and torsion functions must be congruent by a Euclidean motion.
text: If the Darboux derivatives of two frames are equal, then a version of the fundamental theorem of calculus asserts that the curves are congruent.