Geometry Triangles and circles Concept
Circle
Summary
A circle is the set of all points of a plane at a given distance from a given point. The point is the centre and the distance is the radius. The region inside a circle is a disc.
Where this leads
50 pages build on this one.
- Power of a point
- A tangent is perpendicular to the radius
- Tangent line to a circle
- Inscribed angle theorem
- Angles in the same segment are equal
- Thales's theorem
- Concyclic points
- Classification of conics by the discriminant
- Tangent–secant theorem
- Incircle
- Circumcircle
- Focus of a conic
- Poncelet–Steiner theorem
- Steinitz's theorem
- Schoenflies theorem
- Jordan curve theorem
- Circle map
- Fundamental group of the circle
- Hawaiian earring
- Hauptvermutung
- Möbius plane
- Apollonian gasket
- Standard map
- Inversive geometry
- Fixed-point property
- Radó's theorem on triangulation of surfaces
- Butterfly theorem
- Radical axis
- Lyusternik–Fet theorem
- Problem of Apollonius
- Knot
- Gage–Hamilton–Grayson theorem
- Inversion in a circle
- Rotation number
- Mohr–Mascheroni theorem
- Circle packing theorem
- Annulus theorem
- Descartes' theorem
- Circle packing
- Distinguished boundary of a polydisc
- Miquel's theorem
- Reuleaux triangle
- Quasicircle
- Alexander horned sphere
- Steiner chain
- Free loop space
- Link
- Gromoll–Meyer theorem on closed geodesics
- Blaschke–Lebesgue theorem
- Circle average
Further reading
- Web https://en.wikipedia.org/wiki/Circle, lead section
About this page
| Tag | 060W5CBZP6 |
|---|---|
| URI | m2://060W5CBZP6 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 51M04 |
| Specializes | Ellipse |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
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What links here
Used by
- Power of a point
- A tangent is perpendicular to the radius
- Tangent line to a circle
- Inscribed angle theorem
- Thales's theorem
- Concyclic points
- Classification of conics by the discriminant
- Tangent–secant theorem
- Incircle
- Circumcircle
- Focus of a conic
- Poncelet–Steiner theorem
- Jordan curve theorem
- Circle map
- Fundamental group of the circle
- Hawaiian earring
- Möbius plane
- Apollonian gasket
- Standard map
- Inversive geometry
- Fixed-point property
- Butterfly theorem
- Radical axis
- Problem of Apollonius
- Knot
- Gage–Hamilton–Grayson theorem
- Inversion in a circle
- Rotation number
- Mohr–Mascheroni theorem
- Circle packing theorem
- Descartes' theorem
- Circle packing
- Distinguished boundary of a polydisc
- Miquel's theorem
- Reuleaux triangle
- Quasicircle
- Steiner chain
- Free loop space
- Link
- Circle average