An Equation for the Torsion of a Curve in Terms of Derivatives
Theorem
A curve given ashas torsion
Proof
Differentiating this equation gives
Differentiating again gives
Hence
Simplification gives(using this ).
Hence
Remember
Theorem
A curve given ashas torsion
Proof
Differentiating this equation gives
Differentiating again gives
Hence
Simplification gives(using this ).
Hence
Remember