Appletons' cyclopaedia of applied mechanics: a dictionary of mechanical engineering and the mechanical arts . 05,which is lettered throughout to correspond with Fig. 2104; and the steps of the process being iden-tical, including the finding of the radius of curvature, no further explanation is necessary. The Internal Epicycloid.—If one circle be internally tangent to another, and the greater roll uponthe less, a marking-point in its circumference will trace what is called the internal epicycloid, merelyto call attention to the particular mode of generation. For it is to be noted that every epi
Appletons' cyclopaedia of applied mechanics: a dictionary of mechanical engineering and the mechanical arts . 05,which is lettered throughout to correspond with Fig. 2104; and the steps of the process being iden-tical, including the finding of the radius of curvature, no further explanation is necessary. The Internal Epicycloid.—If one circle be internally tangent to another, and the greater roll uponthe less, a marking-point in its circumference will trace what is called the internal epicycloid, merelyto call attention to the particular mode of generation. For it is to be noted that every epicycloidmay be generated by the rolling upon the same base-circle of either of two circles; and the same istrue of the hvpocyeloid. Thus, in Fig. 2106, in the diagram on the left, let D be the centre of thebase-circle, arid C that of one which by rolling upon it will generate the epicycloid shown, the tan-gency being external. Then the same curve will also be traced by the rolling upon D of the circleE, to which it is internally tangent; the diameter of this larger circle being equal to the sum of the62. 18 GEARING. diameters of the other two. Thus every internal epicycloid is also an external one ; but the epitro-choids traced by points carried by these different describing circles, not on their circumferences, willnot be the same. In the diagram on the right, D is the centre of the large base-circle, within whichare shown two describing circles, the sum of their diameters equaling the diameter of D ; and the
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