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cycloid::adjective | Spocien Dictionary
| Type | Words |
|---|---|
| Synonyms | cycloidal |
cycloid::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | line roulette, roulette |
| Has types | curtate cycloid, prolate cycloid |
| Derivation | cycloidal |
Examples of cycloid
cycloid
The cycloid was first studied by Nicholas of Cusa and later by Mersenne.
From the en.wikipedia.org
The cycloid, epicycloids, and hypocycloids have the property that each is similar to its evolute.
From the en.wikipedia.org
He announced that the curve required in the first problem must be a cycloid, and he gave a method of determining it.
From the en.wikipedia.org
A cycloid is the curve traced by a point on the rim of a circular wheel as the wheel rolls along a straight line.
From the en.wikipedia.org
Instead, the brachistochrone is a half cycloid, which was only proved much later with the development of calculus.
From the en.wikipedia.org
In 1634 G.P. de Roberval showed that the area under one arch of a cycloid is three times the area of its generating circle.
From the en.wikipedia.org
In 1658 Christopher Wren showed that the length of one arch of a cycloid is four times the diameter of its generating circle.
From the en.wikipedia.org
A few years later, in 1659, Wallis published a tract containing the solution of the problems on the cycloid which had been proposed by Blaise Pascal.
From the en.wikipedia.org
Torricelli extended this work to other curves such as the cycloid, and then the formula was generalized to fractional and negative powers by Wallis in 1656.
From the en.wikipedia.org
- A line generated by a point on a circle rolling along a straight line
- Resembling a circle
- This is a list of characters from the Street Fighter fighting game series. This list covers the original Street Fighter, the Street Fighter II series, the '' series, the Street Fighter EX series, the Street Fighter III series, and Street Fighter IV'', as well as other related games.
- Smooth, with circular or concentric lines of growth (refers to fish scales).
- Cycloid scales are thin, disk-like, and more or less circular, but not toothed, and are found on most soft-rayed bony fish;
- In geometry, a curve resembling a series of arches traced out by a point on the circumference of a circle that rolls along a straight line. Its applications include the study of the motion of wheeled vehicles along roads and tracks.
- Cycloid scales have a smooth outer edge, and are most common on more primitive fish with soft fin rays, such as salmon and carp.
