hypocycloid

NOUN
  1. a line generated by a point on a circle that rolls around inside another circle
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How To Use hypocycloid In A Sentence

  • The principle of hypocycloidal synchromesh sleeve pocket machining was introduced.
  • Similarly, the vertexes of an hypocycloid are the points on the curve that coincides with an inscribed circle.
  • The present invention relates to a hypocycloid gear assembly used in internal combustion engines.
  • The present invention relates to a hypocycloid engine assembly which may be used in internal combustion engines.
  • On the basis of these, the general structure of the NC machine tool for synchromesh sleeves is designed with principle of hypocycloidal machining.
  • A corollary to this proposition goes further by pointing out that, as the radius of the sphere is increased indefinitely, its surface approaches a plane surface and the law of the hypocycloidal asymptotically approaches Huygens's law of the cycloidal pendulum. Newton's Philosophiae Naturalis Principia Mathematica
  • It was also investigated by Steiner in 1856 and is sometimes called Steiner's hypocycloid.
  • An astroid is a specialized case of the general hypocycloid family of curves.
  • If the describing circle is half the diameter of the pitch circle, the hypocycloid is a radial straight line.
  • These are the epicycloid, the epitrochoid, the hypocycloid and the hypotrochoid and they are traced by a point P on a circle of radius b which rolls round a fixed circle of radius a.
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