all astronomers prior to New- are performed by a mechanical system subjected to A very familiar instance of the geometry of mo- ton had considered the motion of astres merely from some restraint, the resistance and form of the machine tion is the theory of cycloids, or the curves de- the point of… … Fig. 6.—The Generation of a Hypo-Cycloid. Fig. 7.—The Generation of a Peri-Cycloid. one another, there must be rest, and the other in mo- a similar theory to that tion. In fact, this is an ac- THE MUTUAL BELATIONS 07 GEOMETRY AND MECHANICS.
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