##  [Torsion (of a Space Curve)](/torsion-space-curve) 

  ##  [Torsion (of a Space Curve)](https://natural.quantumdictionary.io/torsion-space-curve-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A scalar function along a sufficiently smooth space curve measuring the rate at which the curve's osculating plane rotates about the tangent, typically denoted τ; together with curvature it forms the Frenet–Serret invariants determining the curve up to rigid motion.