hypotrochoid


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Related to hypotrochoid: epicycloid

hypotrochoid

[¦hī·pō′trō‚kȯid]
(mathematics)
A curve traced by a point rigidly attached to a circle at a point other than the center when the circle rolls without slipping on the inside of a fixed circle.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive ?
Now we construct the mapping of the unit disc onto this hypotrochoid interior applying the procedure described above.
We also find the smooth solution after solving (24) and corresponding reparametrization of the given hypotrochoid. We name this polynomial function the smooth mapping.
where z([zeta]) is the polynomial mapping of the unit disk onto the hypotrochoid interior and [phi]([zeta]) is the analytic in the unit disk function with the boundary condition
We solved this problem for the hypotrochoid interior in the case of P([theta]) = 0.01[e.sup.2i[theta]], [kappa] = 2.
We construct as an example the element D x [0, 1] where D is the hypotrochoid interior.