Chasles' theorem (kinematics)

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.

^ 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.
^ Heard, William B. (2006). Rigid Body Mechanics. Wiley. p. 42. ISBN 3-527-40620-4.
^ 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.

[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.

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Chasles' theorem (kinematics)

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