| 单词 | prolate cycloid |
| 释义 | > as lemmasprolate cycloid The common cycloid is that traced by a point in the circumference of the circle, and has cusps where this point meets the straight line; that traced by a point within the circle is a prolate cycloid (with inflections); by a point without the circle, a curtate cycloid (with loops).extracted from cycloidn.adj.prolate cycloid prolate cycloid n. Geometry a cycloid in which the point tracing out the curve does not lie on the circumference of the rolling circle but lies instead either inside it (in former use) or outside it (in current use). ΚΠ 1834 Philos. Trans. (Royal Soc.) 124 314 As the revolution of the paddle resembles a circle rolling on a plane, every part of it will describe a cycloid. That point whose velocity is equal to that of the vessel will move through a simple cycloid, points within that circle in prolate cycloids, [etc.]. 1877 Philos. Trans. (Royal Soc.) 167 280 The motion of the instantaneous axis in the earth is a prolate cycloid. 1950 Osiris 163 9 While a point..on the circumference of the larger circle describes a cycloid, a point..on the cirumference of the smaller (and, in fact, any point within the larger circle) describes the curve known as a prolate cycloid. 1991 D. Wells Penguin Dict. Curious & Interesting Geom. 45 When the wheel of a train rolls along a rail, a point on its circumference traces a prolate cycloid which contains loops. < as lemmas |
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