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Epicycloid - LoveToKnow 1911 (Site not responding. Last check: 2007-11-01) |
 | | The locus of any other carried point is an "epitrochoid" when the circle rolls externally, and a "hypotrochoid" when the circle rolls internally. |
 | | The epicycloid was so named by Ole Romer in 1674, who also demonstrated that cog-wheels having epicycloidal teeth revolved with minimum friction (see Mechanics: Applied); this was also proved by Girard Desargues, Philippe de la Hire and Charles Stephen Louis Camus. |
 | | Epicycloids also received attention at the hands of Edmund Halley, Sir Isaac Newton and others; spherical epicycloids, in which the moving circle is inclined at a constant angle to the plane of the fixed circle, were studied by the Bernoullis, Pierre Louis M. de Maupertuis, Francois Nicole, Alexis Claude Clairault and others. |
| www.1911ency.org /E/EP/EPICYCLOID.htm (734 words) |
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