Definition:Intrinsic Equation/Natural Equation

Definition

A natural equation is an intrinsic equation for a space curve $C$ such that $C$ is expressed in terms of its intrinsic properties:

Curvature $\kappa$

Torsion $\tau$

Also defined as

Some sources use the term natural equation for the generic concept of what on $\mathsf{Pr} \infty \mathsf{fWiki}$ refers to as an intrinsic equation.

However, $\mathsf{Pr} \infty \mathsf{fWiki}$ prefers to separate out the concepts, with the view that this should increase clarity of understanding.

Also see

• Results about natural equations can be found here.

Sources

• Weisstein, Eric W. "Natural Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NaturalEquation.html