epicycloidaladj.

Brit.

/ˌɛpᵻsʌɪˈklɔɪdl/, U.S.

/ˌɛpᵻˌsaɪˈklɔɪd(ə)l/

Origin: Formed within English, by derivation. Etymons: epicycloid n., -al suffix¹.

Etymology: < epicycloid n. + -al suffix¹.

1. Designating a curve, or part of 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; of, relating to, or describing such a curve. See epicycloid n.

ΘΚΠ

the world > relative properties > number > geometry > curve > [adjective] > generated by revolution of point

cycloidal1704

epicycloidal1706

cycloidical1793

trochoidal1799

hypocycloidal1881

1706 E. Halley in Miscellanea Curiosa (Royal Soc.) II. 178 I light upon the following general Proposition, by the help of which all sorts of Curvilineal Spaces, as well of the Cycloidal as Epicycloidal kind.

1785 T. Parkinson Syst. Mech. viii. 139 The figure of the tooth..is an epicycloidal arc.

1812 R. Woodhouse Elem. Treat. Astron. xvi. 172 The true pole..will describe an epicycloidal curve.

1864 Boston Daily Advertiser 17 Nov. 4/1 One valve serves for induction and eduction to both pistons and has an epicycloidal motion.

1918 F. D. Jones Mechanisms & Mech. Movements i. 33 Points on the revolving gears describe epicycloidal curves.

1976 Pop. Sci. Feb. 6/2 The eccentric disk follows with epicycloidal motion and counter-clockwise rotation.

2012 T. M. Apostol & M. A. Mnatsakanian New Horizons Geom. ii. 39 Figure 2.9a shows an epicycloidal arc..traced by a point P on a disk of radius r as it rolls along the outer circumference of a fixed circle.

2. Of a tooth of a gear: having faces whose curvature matches or approximates that of certain arcs of an epicycloid. Also of a gear: having teeth shaped in this way.Epicycloidal gears were introduced as a means of reducing the effect of friction on the gear mechanism while also providing uniformity of motion. Outside of clockmaking, epicycloidal gears have been largely superseded by gears with involute teeth.

ΚΠ

1754 W. Emerson Princ. Mech. xi. 197 On the base BF with the generating circle BD, describe the epicycloidal tooth BE.

1785 T. Parkinson Syst. Mech. viii. 140 The effect is the same when the epicycloidal teeth are upon the periphery of the wheel.

1832 Mechanics' Mag. 5 May 67/2 I prefer the wheel and racks (with epicycloidal teeth) and a lever with two handles.

1881 F. J. Britten Watch & Clockmakers' Handbk. (ed. 4) 21 The pinion..must have the epicycloidal addendum to ensure proper action.

1903 Amer. Machinist 16 July 1013/2 Gears with involute teeth were looked upon with disfavor, because it was thought that the pressure upon the bearings was much greater than with epicycloidal gears.

1958 Isis 49 376 It seems likely that the French mathematician Phillipe de La Hire..had also arrived at the concept of epicycloidal gear teeth independently and at about the same time as Rømer.

2013 S. P. Radzevich Theory Gearing p. xli Camus' rule-of-thumb method was the only one in use for laying out epicycloidal teeth by the use of two circular arcs.

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

单词	epicycloidal
释义	epicycloidaladj. Brit. /ˌɛpᵻsʌɪˈklɔɪdl/, U.S. /ˌɛpᵻˌsaɪˈklɔɪd(ə)l/ Origin: Formed within English, by derivation. Etymons: epicycloid n., -al suffix¹. Etymology: < epicycloid n. + -al suffix¹. 1. Designating a curve, or part of 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; of, relating to, or describing such a curve. See epicycloid n. ΘΚΠ the world > relative properties > number > geometry > curve > [adjective] > generated by revolution of point cycloidal1704 epicycloidal1706 cycloidical1793 trochoidal1799 hypocycloidal1881 1706 E. Halley in Miscellanea Curiosa (Royal Soc.) II. 178 I light upon the following general Proposition, by the help of which all sorts of Curvilineal Spaces, as well of the Cycloidal as Epicycloidal kind. 1785 T. Parkinson Syst. Mech. viii. 139 The figure of the tooth..is an epicycloidal arc. 1812 R. Woodhouse Elem. Treat. Astron. xvi. 172 The true pole..will describe an epicycloidal curve. 1864 Boston Daily Advertiser 17 Nov. 4/1 One valve serves for induction and eduction to both pistons and has an epicycloidal motion. 1918 F. D. Jones Mechanisms & Mech. Movements i. 33 Points on the revolving gears describe epicycloidal curves. 1976 Pop. Sci. Feb. 6/2 The eccentric disk follows with epicycloidal motion and counter-clockwise rotation. 2012 T. M. Apostol & M. A. Mnatsakanian New Horizons Geom. ii. 39 Figure 2.9a shows an epicycloidal arc..traced by a point P on a disk of radius r as it rolls along the outer circumference of a fixed circle. 2. Of a tooth of a gear: having faces whose curvature matches or approximates that of certain arcs of an epicycloid. Also of a gear: having teeth shaped in this way.Epicycloidal gears were introduced as a means of reducing the effect of friction on the gear mechanism while also providing uniformity of motion. Outside of clockmaking, epicycloidal gears have been largely superseded by gears with involute teeth. ΚΠ 1754 W. Emerson Princ. Mech. xi. 197 On the base BF with the generating circle BD, describe the epicycloidal tooth BE. 1785 T. Parkinson Syst. Mech. viii. 140 The effect is the same when the epicycloidal teeth are upon the periphery of the wheel. 1832 Mechanics' Mag. 5 May 67/2 I prefer the wheel and racks (with epicycloidal teeth) and a lever with two handles. 1881 F. J. Britten Watch & Clockmakers' Handbk. (ed. 4) 21 The pinion..must have the epicycloidal addendum to ensure proper action. 1903 Amer. Machinist 16 July 1013/2 Gears with involute teeth were looked upon with disfavor, because it was thought that the pressure upon the bearings was much greater than with epicycloidal gears. 1958 Isis 49 376 It seems likely that the French mathematician Phillipe de La Hire..had also arrived at the concept of epicycloidal gear teeth independently and at about the same time as Rømer. 2013 S. P. Radzevich Theory Gearing p. xli Camus' rule-of-thumb method was the only one in use for laying out epicycloidal teeth by the use of two circular arcs. This entry has been updated (OED Third Edition, March 2016; most recently modified version published online March 2022). < adj.1706
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