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hypocycloid    
次摆圆; 圆内旋轮线

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  • Hypocycloid - Wikipedia
    In geometry, a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle As the radius of the larger circle is increased, the hypocycloid becomes more like the cycloid created by rolling a circle on a line
  • Hypocycloid -- from Wolfram MathWorld
    A hypocycloid is therefore a hypotrochoid with h=b To derive the equations of the hypocycloid, call the angle by which a point on the small circle rotates about its center theta, and the angle from the center of the large circle to that of the small circle phi
  • Hypocycloid | Desmos
    Hypocycloid: A hypocycloid is traced by a fixed point on a circle of radius r rolling around the inside of a circle of radius R Use the slider to adjust the ratio R r – this controls the shape of the curve
  • Parametric: Hypocycloid | Desmos
    This graph is technically called a hypocycloid It is generated by tracing a fixed point on the circumference of a small circle of radius r1 rolling around the inside of a large circle of radius r2 > r1
  • Hypocycloid - MATHCURVE. COM
    Prefix coming from the Greek hupo: under The hypocycloids are the curves described by a point on a circle (C) rolling without slipping on, and inside, a base circle (C0), when the rolling circle is smaller than the fixed one Therefore, they are special cases of hypotrochoids
  • Epicycloids and Hypocycloids | Bohrium
    This practice focuses on the hypocycloid, the elegant curve traced by a point on a circle rolling inside a larger one By applying the standard parametric equations for a specific case—the three-cusped deltoid—you will calculate the precise coordinates of the tracing point at a given moment
  • Hypocycloid — Definition, Formula Examples
    A hypocycloid is the curve traced by a fixed point on a small circle that rolls without slipping along the inside of a larger circle The shape of the curve depends on the ratio of the two circles' radii
  • Hypocycloid - University of Virginia
    The hypocycloid is the path traced by a point on the circumference of a small circle rolling around inside a larger circle, the larger circle having radius n times that of the smaller circle, usually n is taken to be an integer
  • HYPOCYCLOID Definition Meaning - Merriam-Webster
    The meaning of HYPOCYCLOID is a curve traced by a point on the circumference of a circle rolling internally on the circumference of a fixed circle
  • Hypocycloid - MacTutor History of Mathematics
    There are four curves which are closely related These are the epicycloid, the epitrochoid, the hypocycloid and the hypotrochoid and they are traced by a point P P on a circle of radius b b which rolls round a fixed circle of radius a a





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