Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun The plane locus of a point fixed on a circle that rolls on the inside circumference of a fixed circle.
from The Century Dictionary.
- noun In geometry, a curve described by a point on the circumference of a circle which rolls upon the inside of another circle.
from the GNU version of the Collaborative International Dictionary of English.
- noun (Geom.) A curve traced by a point in the circumference of a circle which rolls on the concave side in the fixed circle. Cf.
epicycloid , andtrochoid .
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun geometry The
locus of apoint on thecircumference of acircle thatrolls withoutslipping inside the circumference of another circle.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- noun a line generated by a point on a circle that rolls around inside another circle
Etymologies
Sorry, no etymologies found.
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Examples
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The result is a series of enormous hypocycloid designs which recorded the hidden patterns created by the ride as it turned.
Boing Boing 2007
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The properties of a hypocycloid were recognized by James White, an
Kinematics of Mechanisms from the Time of Watt Eugene S. Ferguson 1960
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The original hypocycloid is shown in dotted line, the working curve being at a constant normal distance from it equal to the radius of the roller; this forms a sort of frame or yoke, which is hung upon cranks as in Figs. 36 and 38.
Scientific American Supplement, No. 470, January 3, 1885 Various
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Upon examination it will be seen, although we are not aware that attention has previously been called to the fact, that this differs from the ordinary forms of "pin gearing" only in this particular, viz., that the elementary tooth of the driver consists of a complete branch, instead of a comparatively small part of the hypocycloid traced by rolling the smaller pitch-circle within the larger.
Scientific American Supplement, No. 470, January 3, 1885 Various
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Thus in Fig. 39, the diameters of the two pitch circles are to each other as 4 to 5; the hypocycloid has 5 branches, and 4 pins are used.
Scientific American Supplement, No. 470, January 3, 1885 Various
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Sj-hypocycloid created December 31, 2008, last edited January 01,
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Sj-hypocycloid created December 31, 2008, last edited January 01,
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Sj-hypocycloid created December 31, 2008, last edited January 01,
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Sj-hypocycloid created December 31, 2008, last edited January 01,
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Sj-hypocycloid created December 31, 2008, last edited January 01,
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