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Epicycloidal :: Epicycloidal (a.) Pertaining to the epicycloid, or having its properties..

Trochoid :: Trochoid (n.) The curve described by any point in a wheel rolling on a line; a cycloid; a roulette; in general, the curve described by any point fixedly connected with a moving curve while the moving curve rolls without slipping on a second fixed curve, the curves all being in one plane. Cycloids, epicycloids, hypocycloids, cardioids, etc., are all trochoids..

Cycloid :: Cycloid (n.) A curve generated by a point in the plane of a circle when the circle is rolled along a straight line, keeping always in the same plane..

Hypotrochoid :: Hypotrochoid (n.) A curve, traced by a point in the radius, or radius produced, of a circle which rolls upon the concave side of a fixed circle. See Hypocycloid, Epicycloid, and Trochoid..

Epicycloid :: Epicycloid (n.) A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle.

Cycloidei :: Cycloidei (n. pl.) An order of fishes, formerly proposed by Agassiz, for those with thin, smooth scales, destitute of marginal spines, as the herring and salmon. The group is now regarded as artificial..

Cycloid :: Cycloid (a.) Of or pertaining to the Cycloidei.

Cycloganoidei :: Cycloganoidei (n. pl.) An order of ganoid fishes, having cycloid scales. The bowfin (Amia calva) is a living example..

Scale :: Scale (n.) One of the small, thin, membranous, bony or horny pieces which form the covering of many fishes and reptiles, and some mammals, belonging to the dermal part of the skeleton, or dermoskeleton. See Cycloid, Ctenoid, and Ganoid..

Brachystochrone :: Brachystochrone (n.) A curve, in which a body, starting from a given point, and descending solely by the force of gravity, will reach another given point in a shorter time than it could by any other path. This curve of quickest descent, as it is sometimes called, is, in a vacuum, the same as the cycloid..

Epitrochoid :: Epitrochoid (n.) A kind of curve. See Epicycloid, any Trochoid..

Tautochrone :: Tautochrone (n.) A curved line, such that a heavy body, descending along it by the action of gravity, will always arrive at the lowest point in the same time, wherever in the curve it may begin to fall; as, an inverted cycloid with its base horizontal is a tautochrone..

Hypocycloid :: Hypocycloid (n.) A curve traced by a point in the circumference of a circle which rolls on the concave side in the fixed circle. Cf. Epicycloid, and Trochoid..

Ganoidei :: Ganoidei (n. pl.) One of the subclasses of fishes. They have an arterial cone and bulb, spiral intestinal valve, and the optic nerves united by a chiasma. Many of the species are covered with bony plates, or with ganoid scales; others have cycloid scales..

Cycloid :: Cycloid (n.) One of the Cycloidei.

Roulette :: Roulette (n.) the curve traced by any point in the plane of a given curve when the latter rolls, without sliding, over another fixed curve. See Cycloid, and Epycycloid..

Cycloidian :: Cycloidian (a. & n.) Same as 2d and 3d Cycloid.

Cycloidal :: Cycloidal (a.) Pertaining to, or resembling, a cycloid; as, the cycloidal space is the space contained between a cycloid and its base..

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