list of circle topics

Image:Ford circles.svgs.]]

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

{{Annotated link |Annulus (mathematics)}}
{{Annotated link |Area of a disk}}
{{Annotated link |Bipolar coordinates}}
{{Annotated link |Central angle}}
{{Annotated link |Circular sector}}
{{Annotated link |Circular segment}}
{{Annotated link |Circumference}}
{{Annotated link |Concentric}}
{{Annotated link |Concyclic}}
{{Annotated link |Degree (angle)}}
{{Annotated link |Diameter}}
{{Annotated link |Disk (mathematics)}}
{{Annotated link |Horn angle}}
Measurement of a Circle
{{Annotated link |Pi|{{pi}}}}
{{Annotated link |List of topics related to π|List of topics related to {{pi}}}}
{{Annotated link |Pole and polar}}
{{Annotated link |Power of a point}}
{{Annotated link |Radical axis}}
{{Annotated link |Radius}}
{{Annotated link |Radius of convergence}}
{{Annotated link |Radius of curvature (mathematics)|Radius of curvature}}
{{Annotated link |Sphere}}
{{Annotated link |Tangent lines to circles}}
{{Annotated link |Versor}}

; Specific circles

{{Annotated link |Apollonian circles}}
{{Annotated link |Circles of Apollonius}}
{{Annotated link |Archimedean circle}}
Archimedes' circles – the twin circles doubtfully attributed to Archimedes
{{Annotated link |Archimedes' quadruplets}}
{{Annotated link |Circle of antisimilitude}}
{{Annotated link |Bankoff circle}}
{{Annotated link |Brocard circle}}
{{Annotated link |Carlyle circle}}
Circumscribed circle (circumcircle)
{{Annotated link |Midpoint-stretching polygon}}
{{Annotated link |Coaxal circles}}
{{Annotated link |Director circle}}
{{Annotated link |Fermat–Apollonius circle}}
{{Annotated link |Ford circle}}
{{Annotated link |Fuhrmann circle}}
{{Annotated link |Generalised circle}}
{{Annotated link |GEOS circle}}
{{Annotated link |Great circle}}
{{Annotated link |Great-circle distance}}
{{Annotated link |Circle of a sphere}}
{{Annotated link |Horocycle}}
{{Annotated link |Incircle and excircles of a triangle}}
{{Annotated link |Inscribed circle}}
{{Annotated link |Johnson circles}}
{{Annotated link |Magic circle (mathematics)}}
{{Annotated link |Malfatti circles}}
{{Annotated link |Nine-point circle}}
{{Annotated link |Orthocentroidal circle}}
{{Annotated link |Osculating circle}}
{{Annotated link |Riemannian circle}}
{{Annotated link |Schinzel circle}}
{{Annotated link |Schoch circles}}
{{Annotated link |Spieker circle}}
{{Annotated link |Tangent circles}}
{{Annotated link |Taylor circle}}
{{Annotated link |Twin circles}}
{{Annotated link |Unit circle}}
{{Annotated link |Van Lamoen circle}}
{{Annotated link |Villarceau circles}}
Woo circles

; Circle-derived entities

{{Annotated link |Apollonian gasket}}
{{Annotated link |Arbelos}}
{{Annotated link |Bicentric polygon}}
{{Annotated link |Bicentric quadrilateral}}
{{Annotated link |Coxeter's loxodromic sequence of tangent circles}}
{{Annotated link |Cyclic quadrilateral}}
{{Annotated link |Cycloid}}
{{Annotated link |Ex-tangential quadrilateral}}
{{Annotated link |Hawaiian earring}}
{{Annotated link |Inscribed angle}}
{{Annotated link |Inscribed angle theorem}}
{{Annotated link |Inversive distance}}
{{Annotated link |Inversive geometry}}
{{Annotated link |Irrational rotation}}
{{Annotated link |Lens (geometry)}}
{{Annotated link |Lune (mathematics)|Lune}}
{{Annotated link |Lune of Hippocrates}}
{{Annotated link |Lazy caterer's sequence}}
{{Annotated link |Overlapping circles grid}}
{{Annotated link |Pappus chain}}
{{Annotated link |Polar circle (geometry)}}
{{Annotated link |Power center (geometry)}}
{{Annotated link |Salinon}}
{{Annotated link |Semicircle}}
{{Annotated link |Squircle}}
{{Annotated link |Steiner chain}}
{{Annotated link |Tangential polygon}}
Tangential quadrilateral

:; Roulettes

:* {{Annotated link |Centered trochoid}}

:* {{Annotated link |Epitrochoid}}

::* {{Annotated link |Epicycloid}}

::* {{Annotated link |Cardioid}}

::* {{Annotated link |Nephroid}}

::* {{Annotated link |Deferent and epicycle}}

:* {{Annotated link |Hypotrochoid}}

::* {{Annotated link |Hypocycloid}}

::* {{Annotated link |Astroid}}

::* Deltoid curve

:; Topology

:* {{Annotated link |Borromean rings}}

:* {{Annotated link |Circle bundle}}

:* Quasicircle

; Circle-related theory

{{Annotated link |Problem of Apollonius|Apollonius' problem}}
{{Annotated link |Limiting cases of Apollonius' problem}}
{{Annotated link |Belt problem}}
{{Annotated link |Benz plane}}
{{Annotated link |Bertrand's paradox (probability)}}
{{Annotated link |Bonnesen's inequality}}
{{Annotated link |Brahmagupta's formula}}
{{Annotated link |Buffon's needle|Buffon's needle problem}}
{{Annotated link |Bundle theorem}}
{{Annotated link |Butterfly theorem}}
{{Annotated link |Carnot's theorem (inradius, circumradius)|Carnot's theorem}}
{{Annotated link |Casey's theorem}}
{{Annotated link |Circle graph}}
{{Annotated link |Circle map}}
{{Annotated link |Circle packing}}
{{Annotated link |Circle packing in a circle}}
{{Annotated link |Circle packing in an equilateral triangle}}
{{Annotated link |Circle packing in an isosceles right triangle}}
{{Annotated link |Circle packing theorem}}
Introduction to Circle Packing – a book by Kenneth Stephenson
{{Annotated link |Circular surface}}
{{Annotated link |Clifford's circle theorems}}
{{Annotated link |Compass and straightedge}}
{{Annotated link |Mohr–Mascheroni theorem}}
{{Annotated link |Poncelet–Steiner theorem}}
{{Annotated link |Descartes' theorem}}
{{Annotated link |Dinostratus' theorem}}
{{Annotated link |Dividing a circle into areas}}
{{Annotated link |Equal incircles theorem}}
{{Annotated link |Five circles theorem}}
{{Annotated link |Gauss circle problem}}
{{Annotated link |Gershgorin circle theorem}}
{{Annotated link |Geometrography}}
{{Annotated link |Goat grazing problem}}
{{Annotated link |Hadamard three-circle theorem}}
{{Annotated link |Hardy–Littlewood circle method}}
{{Annotated link |Isoperimetric inequality|Isoperimetric problem}}
{{Annotated link |Japanese theorem for cyclic polygons}}
{{Annotated link |Japanese theorem for cyclic quadrilaterals}}
{{Annotated link |Kosnita's theorem}}
{{Annotated link |Lester's theorem}}
{{Annotated link |Milne-Thomson circle theorem}}
{{Annotated link |Miquel's theorem}}
{{Annotated link |Monge's theorem}}
{{Annotated link |Mrs. Miniver's problem}}
{{Annotated link |Miquel's theorem#Pivot theorem|Pivot theorem}}
{{Annotated link |Pizza theorem}}
{{Annotated link |Squaring the circle}}
{{Annotated link |Poncelet's porism}}
{{Annotated link |Ptolemy's theorem}}
{{Annotated link |Ptolemy's table of chords}}
{{Annotated link |Regiomontanus' angle maximization problem}}
{{Annotated link |Ring lemma}}
{{Annotated link |Seven circles theorem}}
{{Annotated link |Six circles theorem}}
{{Annotated link |Smallest circle problem}}
{{Annotated link |Tammes problem}}
{{Annotated link |Tarski's circle-squaring problem}}
Thales' theorem

; Circle tangents in non-geometric theory

{{Annotated link |Circle criterion}}
{{Annotated link |Circle group}}
{{Annotated link |Group of rational points on the unit circle}}
{{Annotated link |Circular algebraic curve}}
{{Annotated link |Circular distribution}}
{{Annotated link |Circular statistics}}
{{Annotated link |Mean of circular quantities}}
{{Annotated link |Polygon-circle graph}}
{{Annotated link |Splitting circle method}}
{{Annotated link |von Mises distribution}}
{{Annotated link |Wigner semicircle distribution}}
{{Annotated link |Wrapped distribution}}
{{Annotated link |Wrapped Cauchy distribution}}
Wrapped normal distribution

; Other topics

Thomas Baxter (mathematician)

Physical sciences and engineering

{{Annotated link |Centrifugal force}}
{{Annotated link |Centripetal force}}
{{Annotated link |Circle of confusion}}
{{Annotated link |Circle of forces}}
{{Annotated link |Circular dichroism}}
{{Annotated link |Circular orbit}}
{{Annotated link |Mohr's circle}}
{{Annotated link |Non-uniform circular motion}}
{{Annotated link |Thomson problem}}
{{Annotated link |Uniform circular motion}}

Geography

Image:Sphere halve.png

{{Annotated link |Circle of latitude}}
{{Annotated link |List of circles of latitude}}
{{Annotated link |Polar circle}}
{{Annotated link |Arctic Circle}}
{{Annotated link |Antarctic Circle}}
{{Annotated link |Equator}}
{{Annotated link |Tropic of Cancer}}
{{Annotated link |Tropic of Capricorn}}
{{Annotated link |Great-circle distance}}
Position circle

Artifacts

Image:Steam locomotive driving wheel.jpg.]]

{{Annotated link |List of gear nomenclature#Addendum circle|Addendum circle}}
{{Annotated link |Belt problem}}
{{Annotated link |Center pivot irrigation}}
{{Annotated link |Circular ditches}}
{{Annotated link |Circular slide rule#Circular slide rules|Circular slide rule}}
{{Annotated link |Compass (drafting)}}
{{Annotated link |Crop circle}}
{{Annotated link |Dip circle}}
{{Annotated link |List of gear nomenclature}}
{{Annotated link |Peaucellier–Lipkin linkage}}
{{Annotated link |Pitch circle}}
{{Annotated link |Repeating circle}}
{{Annotated link |Timber circle}}
{{Annotated link |Traffic circle}}
{{Annotated link |Setting circles}}
{{Annotated link |Stone circle}}
Wheel

Glyphs and symbols

{{Annotated link |Borromean rings}}
{{Annotated link |Circled dot (disambiguation)}}
{{Annotated link |Circles in Polish mythology}}
{{Annotated link |Crescent}}
{{Annotated link |Dotted circle}}
{{Annotated link |Ensō}}
{{Annotated link |Magic circle}}
{{Annotated link |Olympic symbols|Olympic emblem}}
{{Annotated link |Ouroboros}}
{{Annotated link |Petosiris to Nechepso}}
{{Annotated link |Quatrefoil}}
{{Annotated link |Ring (diacritic)}}
{{Annotated link |Roundel}}
{{Annotated link |Sacred Chao}}
{{Annotated link |Shield of the Trinity}}
Solar symbols
{{Annotated link |Squared-circle postmark}}
{{Annotated link |Sun cross}}
{{Annotated link |Tanit|Symbol of Tanit}}
{{Annotated link |Trefoil}}
{{Annotated link |Triquetra}}
{{Annotated link |Vesica piscis}}
{{Annotated link |Triple Goddess (Neopaganism)|Triple Goddess symbol}}
Yin and yang