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hypocycloid
[ hahy-puh-sahy-kloid ]
noun
- a curve generated by the motion of a point on the circumference of a circle that rolls internally, without slipping, on a given circle.
hypocycloid
/ ˌɪəˈɪɔɪ /
noun
- a curve described by a point on the circumference of a circle as the circle rolls around the inside of a fixed coplanar circle Compare epicycloid cycloid
hypocycloid
/ ī′pō-ī′Ǿ′ /
- The curve described by a point on the circumference of a circle as the circle rolls on the inside of the circumference of a second, fixed circle.
Derived Forms
- ˌdzˈǾ岹, adjective
Other yvlog Forms
- p··Ǿd adjective
yvlog History and Origins
Origin of hypocycloid1
Example Sentences
A hypocycloid with 3 cusps, also called a deltoid, is made by rolling a circle inside a circle with a radius three times as large.
But the minimum of friction is attained when the two flanks for the tooth are drawn into one common hypocycloid, as in Fig.
The curve generated by rolling on the concave side is called a 'hypocycloid'.
A quick check shows why the 3-point hypocycloid works and the other fails: a line dropped from the very top of the hypocycloid will across horizontally at the bottom curve.
If the radius of the rolling circle be one-half of the fixed circle, the hypocycloid becomes a diameter of this circle; this may be confirmed from the equation to the hypocycloid.
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