epicycloidn.

Brit.

/ˌɛpᵻˈsʌɪklɔɪd/, U.S.

/ˌɛpᵻˈsaɪˌklɔɪd/

Origin: Formed within English, by derivation. Etymons: epi- prefix, cycle n.¹, -oid suffix.

Etymology: < epi- prefix + cycle n.¹ + -oid suffix, after cycloid n. Compare post-classical Latin epicyclois (1686 in a British source), French épicycloïde (1687). Compare earlier epicycle n.

A curve described by a point on the circumference of a circle as it both revolves around its centre and moves along the circumference of another circle; esp. the curve described by a point on the circumference of a circle as it rolls externally upon the circumference of another circle (cf. hypocycloid n.). Cf. epicycle n. 1.Formerly also with distinguishing word specifying the position of the first circle relative to the second, as exterior epicycloid, interior epicycloid.

ΘΚΠ

the world > relative properties > number > geometry > curve > [noun] > generated by or related to a point > by revolution

cycloid1661

epicycloid1696

trochoid1704

involute figure or curve1706

roulette1708

evolute1753

epicycle1756

involute1796

hypocycloid1843

hypotrochoid1843

axoid1876

epicyclic1878

astroid1886

1696 Philos. Trans. 1695–7 (Royal Soc.) 19 113 (heading) The Quadrature of a Portion of the Epicycloid.

1742 C. MacLaurin Treat. Fluxions II. 500 AEB is an arch of an epicycloid described by a point in the circumference of a circle that revolves on an equal circle.

1785 T. Parkinson Syst. Mech. viii. 140 Whilst B and D move to A, B describes the epicycloid B n D, and D describes another epicycloid.

1815 J. Smith Panorama Sci. & Art I. 356 The acting faces of the leaves of the pinion should be parts of an interior epicycloid..and the acting surfaces of the teeth of the wheel should be portions of an exterior epicycloid.

1881 F. J. Britten Watch & Clockmakers' Handbk. (ed. 4) 19 The action should be confined as nearly as possible to the epicycloid on the wheel and the hypocycloid on the pinion.

1964 B. V. Rollin Introd. Electronics x. 134 In the absence of space charge, the electron orbit would resemble an epicycloid.

2005 Math. Gaz. 89 294 In the limiting case..we have shown that the area of a cusp is exactly half the area of an epicycloid.

This entry has been updated (OED Third Edition, March 2016; most recently modified version published online March 2022).

单词	epicycloid
释义	epicycloidn. Brit. /ˌɛpᵻˈsʌɪklɔɪd/, U.S. /ˌɛpᵻˈsaɪˌklɔɪd/ Origin: Formed within English, by derivation. Etymons: epi- prefix, cycle n.¹, -oid suffix. Etymology: < epi- prefix + cycle n.¹ + -oid suffix, after cycloid n. Compare post-classical Latin epicyclois (1686 in a British source), French épicycloïde (1687). Compare earlier epicycle n. A curve described by a point on the circumference of a circle as it both revolves around its centre and moves along the circumference of another circle; esp. the curve described by a point on the circumference of a circle as it rolls externally upon the circumference of another circle (cf. hypocycloid n.). Cf. epicycle n. 1.Formerly also with distinguishing word specifying the position of the first circle relative to the second, as exterior epicycloid, interior epicycloid. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > generated by or related to a point > by revolution cycloid1661 epicycloid1696 trochoid1704 involute figure or curve1706 roulette1708 evolute1753 epicycle1756 involute1796 hypocycloid1843 hypotrochoid1843 axoid1876 epicyclic1878 astroid1886 1696 Philos. Trans. 1695–7 (Royal Soc.) 19 113 (heading) The Quadrature of a Portion of the Epicycloid. 1742 C. MacLaurin Treat. Fluxions II. 500 AEB is an arch of an epicycloid described by a point in the circumference of a circle that revolves on an equal circle. 1785 T. Parkinson Syst. Mech. viii. 140 Whilst B and D move to A, B describes the epicycloid B n D, and D describes another epicycloid. 1815 J. Smith Panorama Sci. & Art I. 356 The acting faces of the leaves of the pinion should be parts of an interior epicycloid..and the acting surfaces of the teeth of the wheel should be portions of an exterior epicycloid. 1881 F. J. Britten Watch & Clockmakers' Handbk. (ed. 4) 19 The action should be confined as nearly as possible to the epicycloid on the wheel and the hypocycloid on the pinion. 1964 B. V. Rollin Introd. Electronics x. 134 In the absence of space charge, the electron orbit would resemble an epicycloid. 2005 Math. Gaz. 89 294 In the limiting case..we have shown that the area of a cusp is exactly half the area of an epicycloid. This entry has been updated (OED Third Edition, March 2016; most recently modified version published online March 2022). < n.1696
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