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trochoid    
n. 次摆线,轨迹线
a. 车轮状的

次摆线,轨迹线车轮状的

Trochoid \Tro"choid\, n. [Gr. ? a wheel -oid; cf. F.
trocho["i]de. See {Troche}.] (Geom.)
The curve described by any point in a wheel rolling on a
line; a cycloid; a roulette; in general, the curve described
by any point fixedly connected with a moving curve while the
moving curve rolls without slipping on a second fixed curve,
the curves all being in one plane. Cycloids, epicycloids,
hypocycloids, cardioids, etc., are all trochoids.
[1913 Webster]


Trochoid \Tro"choid\, a.
1. (Anat.) Admitting of rotation on an axis; -- sometimes
applied to a pivot joint like that between the atlas and
axis in the vertebral column.
[1913 Webster]

2. (Zool.) Top-shaped; having a flat base and conical spire;
-- said of certain shells.
[1913 Webster]

3. (Zool.) Of or pertaining to the genus Trochus or family
{Trochidae}.
[1913 Webster]


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  • Trochoid - Wikipedia
    A prolate trochoid with b a = 5 4 A curtate trochoid with b a = 4 5 As a circle of radius a rolls without slipping along a line L, the center C moves parallel to L, and every other point P in the rotating plane rigidly attached to the circle traces the curve called the trochoid Let CP = b Parametric equations of the trochoid for which L is the x -axis are where θ is the variable angle
  • Trochoid -- from Wolfram MathWorld
    A trochoid is the locus of a point at a distance b from the center of a circle of radius a rolling on a fixed line A trochoid has parametric equations x = aphi-bsinphi (1) y = a-bcosphi
  • Trochoid — Definition, Formula Examples
    A trochoid is the curve traced by a point attached to (but not necessarily on the rim of) a circle as that circle rolls along a straight line Depending on whether the point is on the rim, inside, or outside the circle, the trochoid takes different shapes
  • TROCHOID Definition Meaning - Merriam-Webster
    The meaning of TROCHOID is the curve generated by a point on the radius of a circle or the radius extended as the circle rolls on a fixed straight line
  • Trochoid – GeoGebra
    A trochoid is traced by a fixed point a distance d from the center of a circle of radius r as it rolls along a straight line Use the sliders to adjust the radius r of the circle and the distance d of the point to the center of the circle
  • Trochoid joint | definition of trochoid joint by Medical dictionary
    Joints trochoid joint pivot joint temporomandibular joint (TMJ) a bicondylar joint formed by the head of the mandible and the mandibular fossa, and the articular tubercle of the temporal bone See also temporomandibular joint disorder
  • What does trochoid mean? - Definitions. net
    Definition of trochoid in the Definitions net dictionary Meaning of trochoid What does trochoid mean? Information and translations of trochoid in the most comprehensive dictionary definitions resource on the web
  • Trochoid
    Trochoid A trochoid is the locus of a point located at a distance b b from the center of a circle of radius a a as the circle rolls without slipping along a straight line, forming a type of roulette curve that combines uniform translation with circular rotation [1] The specific shape depends on the ratio of b b to a a: when b <a b <a, it produces a curtate cycloid with a flattened, wavy
  • Trochoids | Springer Nature Link
    Trochoid, in general, is defined as the locus of a point attached to a circle that rolls over another circle An epitrochoid is generated when a point P attached at a radial distance d from the centre of a circle of radius r rolls over a circle of radius R exteriorly and \ (d<r\)
  • TROCHOID Definition Meaning | Dictionary. com
    TROCHOID definition: a curve traced by a point on a radius or an extension of the radius of a circle that rolls, without slipping, on a curve, another circle, or a straight line Equation: x = aθ − b sin θ, y = a − b cos θ See examples of trochoid used in a sentence





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