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List of circle topics

From Wikipedia, the free encyclopedia

List of circle topics
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This list of circle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or concretely in physical space. It does not include metaphors like "inner circle" or "circular reasoning" in which the word does not refer literally to the geometric shape.

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Ford circles.

Geometry and other areas of mathematics

Circle anatomy
Specific circles
Circle-derived entities
Roulettes
  • Centered trochoid – Geometric curve formed by a circle rolling along another circle
  • Epitrochoid – Plane curve formed by rolling a circle on the outside of another
  • Epicycloid – Plane curve traced by a point on a circle rolled around another circle
  • Cardioid – Type of plane curve
  • Nephroid – Plane curve; an epicycloid with radii differing by 1/2
  • Deferent and epicycle – Planetary motions in archaic models of the Solar System
  • Hypotrochoid – Curve traced by a point outside a circle rolling within another circle
  • Hypocycloid – Curve traced by a point on a circle rolling within another circle
  • Astroid – Curve generated by rolling a circle inside another circle with 4x or (4/3)x the radius
  • Deltoid curve
Topology
Circle-related theory
Circle tangents in non-geometric theory
Other topics
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Physical sciences and engineering

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Geography

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A great circle on a sphere

Artifacts

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A driving wheel on a steam locomotive.
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Glyphs and symbols

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See also

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