hypocycloid

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hypocycloid

[¦hī·pō′sī‚klȯid]
(mathematics)
The curve which is traced in the plane as a given point fixed on a circle moves while this circle rolls along the inside of another circle.
References in periodicals archive ?
The peaks of the piston are given by the intersection between a mobile circle, of c radius with the center at the point M and the hypocycloid of the carcass.
In conclusion, by composing of two movements of plane rotation (in the same plane), a generating point M of a circular rolling curve described as a cinematic trajectory C a hypocycloid with the condition to respect the [R.
The aspects shown in this paper represent original contributions concerning the cinematic generation of the hypocycloid curves used as generatrix G at the generation of the type cycloid denture from the watches industry.
b, to obtain a hypocycloid curve with a square aspect, is necessary to ensure the following two conditions:
In this situation we will use at our solution a larger value for term a (a > r), that can generate a 4 leaves hypocycloid as in figure 4.
max], between the hypocycloid and the desired square, we are doing some consideration related at figure 6, where the curves are deformated to emphasis the error.
To derive the maximum error we must to calculate the angle 9 corresponding at the hypocycloid point, where the two coordinates are equal.