In differential geometry, the fundamental theorem of space curves states that every regular curve in three-dimensional space, with non-zero curvature, has its shape (and size) completely determined by its curvature and torsion.
Contents
Use
A curve can be described, and thereby defined, by a pair of scalar fields: curvature
Congruence
If a pair of curves are in different positions but have the same curvature and torsion, then they are congruent to each other.