"Cycloid" Quotes from Famous Books
 ... of a system of tangents of which I first showed him the rule and the method of construction, my artist has obtained the ordinary cycloid, followed by the interior and the exterior epicycloid and, lastly, the same curves both lengthened and shortened. His drawings are admirable Spider's webs, encircling the cunning curve in their ...
— The Life of the Fly - With Which are Interspersed Some Chapters of Autobiography • J. Henri Fabre
... arc described does not signify, as the times of vibration will be the same, whether the arc be the fourth or the four hundredth of a circle, or at least they will be nearly so, and would be so exactly, if the curve described were a portion of a cycloid. In the pendulum of clocks, therefore, a small arc is preferred, as there is, in that case, no sensible deviation from the cycloidal curve, but in other respects the size of the arc ...
— A Catechism of the Steam Engine • John Bourne
... uniform; it is strange that its thickness did not vary in some complicated manner, and become a veritable birch-rod!) 'of length 2c, rests in stable equilibrium' (stable! another act of leniency!), 'with its lower end at the vertex of a cycloid whose plane is vertical' (why not incline it at an angle of 30 degrees?) 'and vertex downwards, and passes through a small, smooth, fixed ring situated in the axis at a distance b from the vertex. Show that if the equilibrium be slightly disturbed, ...
— The Romance of Mathematics • P. Hampson |
