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cycloid    
n. 擺線,輪轉線
a. 圓形的,循環性格的

擺線,輪轉線圓形的,循環性格的

cycloid
adj 1: resembling a circle [synonym: {cycloid}, {cycloidal}]
n 1: a line generated by a point on a circle rolling along a
straight line

Cycloid \Cy"cloid\ (s?"kloid), n. [Cyclo- -oid: cf. F.
cyclo["i]de.] (Geom.)
A curve generated by a point in the plane of a circle when
the circle is rolled along a straight line, keeping always in
the same plane.
[1913 Webster]

Note: The common cycloid is the curve described when the
generating point (p) is on the circumference of the
generating circle; the curtate cycloid, when that point
lies without the circumference; the prolate or
inflected cycloid, when the generating point (p) lies
within that circumference.
[1913 Webster]


Cycloid \Cy"cloid\, a. (Zool.)
Of or pertaining to the Cycloidei.
[1913 Webster]

{Cycloid scale} (Zool.), a fish scale which is thin and shows
concentric lines of growth, without serrations on the
margin.
[1913 Webster]


Cycloid \Cy"cloid\, n. (Zool.)
One of the Cycloidei.
[1913 Webster]


Brachystochrone \Bra*chys"to*chrone\, n. [Incorrect for
brachistochrone, fr. Gr. bra`chistos shortest (superl. of
brachy`s short) ? time : cf. F. brachistochrone. ] (Math.)
A curve, in which a body, starting from a given point, and
descending solely by the force of gravity, will reach another
given point in a shorter time than it could by any other
path. This curve of quickest descent, as it is sometimes
called, is, in a vacuum, the same as the {cycloid}.
[1913 Webster]

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英文字典中文字典相關資料:
  • Cycloid - Wikipedia
    In geometry, a cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve
  • Cycloid - Definition, Equations, Area, and Curve
    A cycloid (referred to as ‘the Helen of geometers’) is a curve formed by tracing the path of a fixed point on the circumference of a circle when it rolls along a straight line without slipping
  • Cycloid -- from Wolfram MathWorld
    The cycloid is the locus of a point on the rim of a circle of radius rolling along a straight line It was studied and named by Galileo in 1599 Galileo attempted to find the area by weighing pieces of metal cut into the shape of the cycloid Torricelli, Fermat, and Descartes all found the area
  • Cycloid | Parametric curve, Geometry, Calculus | Britannica
    cycloid, the curve generated by a point on the circumference of a circle that rolls along a straight line If r is the radius of the circle and θ (theta) is the angular displacement of the circle, then the polar equations of the curve are x = r (θ - sin θ) and y = r (1 - cos θ)
  • Cycloid - MATHCURVE. COM
    The cycloid is the curve described by a point on a circle with radius R rolling without slipping on a line (D) (here the axis Ox); it is therefore a special case of roulette
  • 19. 1: Introduction to Cycloids - Physics LibreTexts
    As the circle rolls on the line, the point P describes a curve, which is known as a cycloid
  • What is a Cycloid? | Math Animation Explanation | QuickDigitLab
    What exactly is a cycloid? Discover its definition and how it's formed We'll explore the unique properties of the cycloid, including its connection to the tautochrone problem (the curve of
  • The cycloid - University of Texas at Austin
    One of the most important examples of a parametrized curve is a cycloid This is the path followed by a point on the rim of a rolling ball If you've ever seen a reflector on the wheel of a bicycle at night, you've probably seen a cycloid
  • Cycloids and Other Parametric Curves | Calculus II
    In this project we look at two different variations of the cycloid, called the curtate and prolate cycloids First, let’s revisit the derivation of the parametric equations for a cycloid





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