Hypotrochoid - Wikipedia
In geometry, a hypotrochoid is a roulette traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R, where the point is a distance d from the center of the interior circle.
Hypotrochoid -- from Wolfram MathWorld
5 天之前 · A hypotrochoid is a roulette traced by a point P attached to a circle of radius b rolling around the inside of a fixed circle of radius a, where P is a distance h from the center of the interior circle.
Hypocycloids and Hypotrochoids - Teaching Calculus
2014年7月7日 · When R = S , the point is on the circle, there is a star-like figure (below right). These are both called hypocycloids. When S < R < 0 the point is outside the circle and the “stars” form rounded ends and get larger. These are the hypotrochoids (below center). The next video shows the progression from S = 0 (a circle) to S = –2 and back again.
HYPOTROCHOID - MATHCURVE.COM
The hypotrochoids are the curves described by a point linked to a circle (C) rolling without slipping internally on a base circle (C0); therefore, they are the curves obtained with a Spirograph with an internal disk.
A hypotrochoid [a, b, d, t] is a curve traced out by a point D on the line that coincides with a diameter of the circle (B, b) as it rolls around along another (fixed) circle (O, a). Let the distance between D and B be d, and let a, b, and d be non-zero rational numbers such that a > 0 and d > 0. The parametric equa-tions for a hypotrochoid are ...
Hypotrochoid - Desmos
Hypotrochoid: A hypotrochoid is traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R, where the point is a distance d from the center of the interior circle.
Hypotrochoid - Math Tools
A hypotrochoid is a roulette traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R, where the point is a distance d from the center of the interior circle.
Hypotrochoid vs. Epitrochoid — What’s the Difference?
2024年5月6日 · Hypotrochoids are curves traced by a fixed point on a circle rolling inside another circle, while epitrochoids are generated by a circle rolling outside another circle.
Hypotrochoid Definition & Meaning - Merriam-Webster
The meaning of HYPOTROCHOID is a plane curve traced by a point on the radius or extended radius but not on the circumference of a circle rolling on the inside of a fixed circle.
Hypotrochoid - XahLee.info
Hypotrochoid describes a family of curves. Hypotrochoid and epitrochoid are roulette of two circles. If one circle is inside another, the curve traced are called hypotrochoids. Otherwise (one rolls outside another), the curves are called epitrochoids.