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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
    In geometry, a trochoid (from Greek trochos 'wheel') is a roulette curve formed by a circle rolling along a line It is the curve traced out by a point fixed to a circle (where the point may be on, inside, or outside the circle) as it rolls along a straight line [1]
  • 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 - MATHCURVE. COM
    The notion of trochoid refers to the curve described by a point linked to a disk with radius R rolling without slipping on a line (D); in other words, in it a roulette of a movement of a plane over a fixed plane the base of which is a line and the rolling curve of which is a circle
  • 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 — 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
  • Centered trochoid - Wikipedia
    In geometry, a centered trochoid is the roulette formed by a circle rolling along another circle That is, it is the path traced by a point attached to a circle as the circle rolls without slipping along a fixed circle
  • 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
  • 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
    A trochoid is the locus of a point located at a distance \ ( b \) from the center of a circle of radius \ ( a \) as the circle rolls without slipping along a straight line, forming a type of roulette curve that combines uniform translation with circular rotation
  • Trochoid - XahLee. info
    Trochoid describe a family of curves (See: Curve Family Index) Trochoid is defined as the trace of a point fixed on a circle that rolls along a line





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