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WordNet-Online
Definitions from WordNet | ||||
Definitions from the WebProlate CycloidDescription:A prolate cycloid is a curve formed by a point on the circumference of a circle as it rolls along a straight line. The resulting shape is elongated in one direction compared to a cycloid curve. Senses:1. Mathematics:In mathematics, a prolate cycloid is a specific type of curve generated by the motion of a point on a circle as it rolls along a straight line. The prolate cycloid curves have various applications in geometry and kinematics. 2. Physics:In physics, a prolate cycloid can describe the trajectory of an object moving under certain conditions, such as a particle sliding along a frictionless wire. Usage:1. The prolate cycloid is closely related to the cycloid curve, but it appears more stretched out. 2. Mathematicians often study the properties and equations that govern prolate cycloids. 3. The physics experiment involved tracking the motion of a particle along a prolate cycloid path. Examples:Mathematical example: The equation for a prolate cycloid can be represented by x = a(t - sin t) and y = a(1 - cos t), where 'a' is the radius of the generating circle and 't' represents the parameter. Physics example: The prolate cycloid was observed when a marble rolled down an inclined plane and followed the path along the wire, conforming to the trajectory equation. Related Products:Explore books and tools related to prolate cycloids on Amazon: | ||||
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