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More "Cycloid" Quotes from Famous Books
 ... 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
... afterwards came into existence, and still are the principal fishes of our seas; the former are covered with integuments of a considerably different character from the true scales covering the latter, and which orders, from their form of organization, are named stenoid and cycloid. ...
— An Expository Outline of the "Vestiges of the Natural History of Creation" • Anonymous
... Irregular Curves. Ellipses and Ovals. Focal Points. Produced Line. Spirals, Perpendicular and Vertical. Signs to Indicate Measurement. Definitions. Abscissa. Angle. Apothegm. Apsides or Apsis. Chord. Cycloid. Conoid. Conic Section. Ellipsoid. Epicycloid. Evolute. Flying Buttress. Focus. Gnomes. Hexagon. Hyperbola. Hypothenuse. Incidental. Isosceles. Triangle. Parabola. Parallelogram. Pelecoid. Polygons. ...
— Carpentry for Boys • J. S. Zerbe
... passing lightly by the Conic Sections, the mathematicians of that day busied themselves in finding the areas, solids of revolution, tangents, etc., of all imaginable curves,—some of them remarkable enough. Such is the cycloid, first conceived by Galileo, and a stumbling-block and cause of contention among geometers long after he had left it, together with his system of the universe, undetermined. Descartes, Roberval, Pascal, became successively challengers or ...
— Atlantic Monthly, Volume 3, No. 20, June, 1859 • Various
... be known that it is none other than that curve which is described by the point E on the circumference of the circle EB, when that circle is made to roll within another whose semi-diameter is ED and whose centre is D. So that it is a kind of Cycloid, of which, however, the points ...
— Treatise on Light • Christiaan Huygens
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