Chasles' theorem (kinematics)

For other uses, see Chasles' theorem (disambiguation).
A screw axis. Mozzi–Chasles' theorem says that every Euclidean motion is a screw displacement along some screw axis.

In kinematics, Chasles' theorem, or Mozzi–Chasles' theorem, says that the most general rigid body displacement can be produced by a translation along a line (called its screw axis or Mozzi axis) followed (or preceded) by a rotation about an axis parallel to that line.[1][2][3] Such a composition of translation and rotation is called a screw displacement.

  1. ^ Kumar, V. "MEAM 520 notes: The theorems of Euler and Chasles" (PDF). University of Pennsylvania. Archived from the original (PDF) on 19 June 2018. Retrieved 6 August 2014.
  2. ^ Heard, William B. (2006). Rigid Body Mechanics. Wiley. p. 42. ISBN 3-527-40620-4.
  3. ^ Joseph, Toby (2020). "An Alternative Proof of Euler's Rotation Theorem". The Mathematical Intelligencer. 42 (4): 44–49. arXiv:2008.05378. doi:10.1007/s00283-020-09991-z. ISSN 0343-6993. S2CID 221103695.