. Spons' dictionary of engineering, civil, mechanical, military, and naval; with technical terms in French, German, Italian, and Spanish . circumference B the points 6, c, d. , . With the radius of thegenerating circle describe circumferences tangent in these points. Having produced the radii at the points of division 1, 2, 3 ... , and obtained upon the gene-rating circle the corresponding points 6, c, d . ., from the centre B with the radii B ò, B c, B d . .,describe circumferences the intersection of which with the arcs already drawn gives points in theelongated epicycloid. The point a will


. Spons' dictionary of engineering, civil, mechanical, military, and naval; with technical terms in French, German, Italian, and Spanish . circumference B the points 6, c, d. , . With the radius of thegenerating circle describe circumferences tangent in these points. Having produced the radii at the points of division 1, 2, 3 ... , and obtained upon the gene-rating circle the corresponding points 6, c, d . ., from the centre B with the radii B ò, B c, B d . .,describe circumferences the intersection of which with the arcs already drawn gives points in theelongated epicycloid. The point a will have described the half of the elongated epicycloid, when the diameter a h ofthe generating circle coincides with the radius B h produced, perpendicular to a a. The otherhalf of the curve may be obtained by an analogous construction, or by placing the points obtainedin a position symmetrical with respect to a B. To facilitate the construction, we mark equal parts 1624 GEARING. upon the circumference A, but it may be remarked that these parts may be unequal, provided theybe transferred accurately to the directing Common Hypocycloid.—This curve is described by the point a in the plane of a circle A whichrevolves about its own axis along the concave side of a circumference B. The circle B is called thedirecting circle, the circle A and the point a are the generators of the curve, Fig. 3146.


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Keywords: ., bookcentury1800, bookdecade1870, bookidsp, booksubjectengineering