Riemannian circle [SEP] named after
Riemannian circle
In metric space theory and Riemannian geometry, the Riemannian circle is a great circle equipped with its great-circle distance. It is the circle equipped with its "intrinsic" Riemannian metric of a compact one-dimensional manifold of total length 2, or the "extrinsic" metric obtained by restriction of the "intrinsic" metric on the sphere, as opposed to the "extrinsic" metric obtained by restriction of the Euclidean metric to the unit circle in the plane. Thus, the distance between a pair of
Lamoen circle
- Parry circle
- Polar circle (geometry)
See also Specially named circles Of certain quadrilaterals.
- Eight-point circle of an orthodiagonal quadrilateral
- Incircle of a tangential quadrilateral
- Circumcircle of a cyclic quadrilateral
See also Specially named circles Of certain polygons.
- Circumcircle of a cyclic polygon
- Incircle of a tangential polygon
See also Specially named circles Of a conic section.
- Director circle
- Directrix circle
See also Specially named circles Of a sphere.
- Great circle
- Riemannian circle