Wikipedia

List of circle topics

Ford circles.

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.

Geometry and other areas of mathematics

  • Circle
Circle anatomy
Specific circles
  • Apollonian circles
  • Circles of Apollonius
  • Archimedean circle
  • Archimedes' circles – the twin circles doubtfully attributed to Archimedes
  • Archimedes' quadruplets
  • Circle of antisimilitude
  • Bankoff circle
  • Brocard circle
  • Carlyle circle
  • Circumscribed circle (circumcircle)
    • Midpoint-stretching polygon
Circle-derived entities
Roulettes
  • Centered trochoid
  • Epitrochoid
Topology
  • Borromean rings
  • Circle bundle
  • Quasicircle
Circle-related theory
  • Apollonius' problem
    • Limiting cases of Apollonius' problem
  • Belt problem
  • Benz plane
  • Bertrand's paradox (probability)
  • Bonnesen's inequality
  • Brahmagupta's formula
  • Buffon's needle problem
  • Bundle theorem
  • Butterfly theorem
  • Carnot's theorem
  • Casey's theorem
  • Circle graph
  • Circle map
  • Circle packing
    • Circle packing in a circle
    • Circle packing in an equilateral triangle
    • Circle packing in an isosceles right triangle
    • Circle packing theorem
    • Introduction to Circle Packing – a book by Kenneth Stephenson
  • Circular surface
  • Clifford's circle theorems
  • Compass and straightedge
    • Mohr–Mascheroni theorem
    • Poncelet–Steiner theorem
  • Descartes' theorem
  • Dinostratus' theorem
  • Dividing a circle into areas
  • Equal incircles theorem
  • Five circles theorem
  • Gauss circle problem
  • Gershgorin circle theorem
  • Geometrography
  • Hadamard three-circle theorem
  • Hardy–Littlewood circle method
  • Isoperimetric problem
  • Japanese theorem for cyclic polygons
  • Japanese theorem for cyclic quadrilaterals
  • Kosnita's theorem
  • Lester's theorem
  • Milne-Thomson circle theorem
  • Miquel's theorem
  • Monge's theorem
  • Mrs. Miniver's problem
  • Pivot theorem
  • Pizza theorem
  • Squaring the circle
  • Poncelet's porism
  • Ptolemy's theorem
  • Ptolemy's table of chords
  • Regiomontanus' angle maximization problem
  • Ring lemma
  • Seven circles theorem
  • Six circles theorem
  • Smallest circle problem
  • Tammes problem
  • Tarski's circle-squaring problem
  • Thales' theorem
Circle tangents in non-geometric theory
Other topics
  • Thomas Baxter (mathematician)

Physical sciences and engineering

Geography

A great circle on a sphere

Artifacts

A driving wheel on a steam locomotive.

Glyphs and symbols

See also

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