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epitrochoid

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epitrochoid
epitrochoid Math. (ɛpɪˈtrɒkɔɪd) [f. Gr. ἐπί upon + τροχός wheel + -oid; after analogy of epicycloid.] The curve described by a point rigidly connected with the centre of a circle which rolls on the outside of another circle. Cf. epicycloid.1843 Penny Cycl. XXV. 284/2. 1879 Thomson & Tait Nat. Phil. ... Oxford English Dictionary
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Epitrochoid
The classic Spirograph toy traces out epitrochoid and hypotrochoid curves. The orbit of the Moon, when centered around the Sun, approximates an epitrochoid. The combustion chamber of the Wankel engine is an epitrochoid. wikipedia.org
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Hypotrochoid
The classic Spirograph toy traces out hypotrochoid and epitrochoid curves. wikipedia.org
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trochoid
trochoid, n. and a. (ˈtrɒkɔɪd, ˈtrəʊkɔɪd) [ad. Gr. τροχοειδής round like a wheel, f. τροχός wheel + εἶδος form: see -oid; cf. F. trochoïde (1658 in Hatz.-Darm.).] A. n. 1. Geom. A curve traced by a point on or connected with a rolling circle; orig. = cycloid 1: now usually restricted to the curtate ... Oxford English Dictionary
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Trochoid
The number of cusps given above also hold true for any epitrochoid and hypotrochoid, with "cusps" replaced by either "radial maxima" or "radial minima" See also Aristotle's wheel paradox Brachistochrone Cyclogon Cycloid Epitrochoid Hypotrochoid List of periodic functions Roulette (curve) Spirograph wikipedia.org
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Centered trochoid
The term encompasses both epitrochoid and hypotrochoid. The center of this curve is defined to be the center of the fixed circle. ) Introduction and Flash Animation of Hypotrochoid (Spanish) Flash Animation of Epitrochoid Flash Animation of Hypotrochoid Epitrochoid at Mathworld wikipedia.org
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Hypocycloid
See also Roulette (curve) Special cases: Tusi couple, Astroid, Deltoid List of periodic functions Cyclogon Epicycloid Hypotrochoid Epitrochoid wikipedia.org
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外旋轮线
外旋轮线（Epitrochoid - IPA ）是追踪附着在围绕半径为R的固定的圆外侧滚转的半径r的圆上的一个点而得到的转迹线，这个点距离外部滚动的圆的中心的距离是d。 外旋轮线的参数方程是 特殊情况包括R = r的帕斯卡蜗线和d = r的外摆线。 经典的玩具万花尺追踪外旋轮线和内旋轮线。 外部链接 Flash Animation of Epitrochoid（外旋轮线的Flash动画，英文） 曲线 ja:トロコイド#外トロコイド wikipedia.org
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عجلي فوقي
غرفة الاحتراق في محرك فانكل هي منحنى عجلي فوقي انظر أيضًا دويري دويري فوقي دويري تحتي عجلي عجلي تحتي المراجع وصلات خارجية Flash Animation of Epitrochoid Epitrochoid at Mathworld Visual Dictionary of Special Plane Curves on Xah Lee 李杀网 Interactive simulation of the geocentric graphical representation wikipedia.org
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Liquidpiston
In the Wankel, the only successful pistonless rotary engine to date, an oval-like epitrochoid housing surrounds a curved sided triangular rotor. wikipedia.org
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Limaçon trisectrix
The shape of the limaçon trisectrix can be specified by other curves particularly as a rose, conchoid or epitrochoid. wikipedia.org
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摆线
更进一步，如果我们让圆也沿着一个圆滚动而不是直线的话，我们会得到外摆线（epicycloid，沿着圆的外部运动，定点在圆的边缘），内摆线（hypocycloid，沿着圆内部滚动，定点在圆的边缘）以及外旋轮线（epitrochoid）和内旋轮线（hypotrochoid，定点可以在圆内的任一点包括边界。 wikipedia.org
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Cycloid
Epitrochoid: generalization of an epicycloid where the generating point may not be on the edge of the rolling circle. The classic Spirograph toy traces out hypotrochoid and epitrochoid curves. wikipedia.org
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List of periodic functions
K means Elliptic integral K(m) Vector-valued functions Epitrochoid Epicycloid (special case of the epitrochoid) Limaçon (special case of the epitrochoid wikipedia.org
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Wankel Diesel engine
Design concept A Wankel Diesel engine shares its basic design, a triangular-like rotor in an oval, epitrochoid-shaped housing, with a regular Wankel The Diesel-Ring, attempts were made to modify the geometry of the epitrochoid and rotor in such a way that a higher compression ratio could be achieved wikipedia.org
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