polhoden.
/ˈpɒlhəʊd/, U.S. /ˈpɑlˌ(h)oʊd/ Geometry and Physics.
A non-plane curve traced on the surface of an ellipsoid by its point of contact with a plane on which it rolls (or notionally rolls) without slipping. Cf. herpolhode n.
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the world > relative properties > number > geometry > curve > [noun] > polholde or herpolhode
poloid1862
serpoloid1862
polhode1866
herpolhode1868
1866 Proc. Royal Soc. 15 142 The two species of Polhodes on either side of the ‘Dividing Polhode’, according to Poinsot's method of exposition.
1882 L. Campbell & W. Garnett Life J. C. Maxwell 500 The curve which the extremity of the axis of rotation describes on the invariable plane is called a herpolhode, while that which it describes on the surface of the ellipsoid is called a polhode.
1957 Physics & Chem. Earth 2 226 He decided that the barycentre of the polhodes of 1949 and 1950 has co-ordinates..relative to the mean pole.
1961 Amer. Math. Monthly 68 596 The trajectories of the vector ω in our body-fixed coordinate system..are called polhodes... Polhodes should be viewed not so much as curves, as conical surfaces with the apex at the center of mass of the body.
1987 Nature 5 Mar. 57/2 (caption) The profile of the comet Halley nucleus is shown together with the polhodes for the long-axis mode (dashed) and the short-axis mode (dotted).
1993 Proc. National Acad. Sci. U.S.A. 90 5903/1 A small correction for the polhode and herpolhode (precession) needs to be made. The energy of the rotating [atomic] nucleus needs to be corrected.
This entry has been updated (OED Third Edition, September 2006; most recently modified version published online March 2022).
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n.1866