. Cottage, lodge, and villa architecture. l to the chord, the ball of a pendulum is caused to move in a cycloidal curve, its vibrations will be isochro-nous ; that is, they will all be performed in precisely the same amount of time. The epicycloid (fig. 41) differs from the cycloid in this, thatit is generated by a point in one circle rolling upon the circum-ference of another, instead of a level surface. The cycloid may,however, be brought under the same definition, by regardingthe straight line as the circumference of a circle whose diameteris infinitely great. This definition of the c
. Cottage, lodge, and villa architecture. l to the chord, the ball of a pendulum is caused to move in a cycloidal curve, its vibrations will be isochro-nous ; that is, they will all be performed in precisely the same amount of time. The epicycloid (fig. 41) differs from the cycloid in this, thatit is generated by a point in one circle rolling upon the circum-ference of another, instead of a level surface. The cycloid may,however, be brought under the same definition, by regardingthe straight line as the circumference of a circle whose diameteris infinitely great. This definition of the curve will be understood by reference tothe accompanying figure, in which a is the generating or rollingcircle^ and b the fundamental one, or that upon which it rolls indescribing the exterior epicycloidal curve, c d. If the generat-ing circle, instead of rolling on the outside, were to roll withinthe interior circle, a point in the former would describe an in-terior epicycloid, or, as it is more recently termed, the hypocycloid. Fig.
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Keywords: ., bookcentury1800, bookdecade1870, bookpublisherlondon, booksubject
