. Spons' dictionary of engineering, civil, mechanical, military, and naval; with technical terms in French, German, Italian, and Spanish . 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. Construction.—The line of the centres B A determines by its intersection with the circum-ference B, the generating point a. Beginning at this point, divide the circumference A int
. Spons' dictionary of engineering, civil, mechanical, military, and naval; with technical terms in French, German, Italian, and Spanish . 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. Construction.—The line of the centres B A determines by its intersection with the circum-ference B, the generating point a. Beginning at this point, divide the circumference A into agreat number of small parts a b, be, cd ..., which may be considered as straight lines. Beginning GEAEING. 1625 at tlie same point a, mark an equal number of these parts upon the circumference B. With theradius of the generating circle describe a series of arcs tangent in the points 6, c, d. ., and fromthe centre B, with the radii B 6, B c, B (i . ., describe arcs the intersection of which with theformer gives points in the hypocycloid. The centre of the circle A describes during its revolutiona portion of a circle A A A, concentric with the circle B ; this is the common locus of the centresof all the arcs tangent in the points 6, c, d . . If we wish for greater exactness than that whichwe obtain by considering the elements of the generating circle as straight, we may determine thedevelopment of on
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Keywords: ., bookcentury1800, bookdecade1870, bookidsp, booksubjectengineering
