circumcircle

Let A lie on the circumference of the circumcircle.

That is, it has both an incircle and a circumcircle.

The triangle's nine-point circle has half the diameter of the circumcircle.

It is common to confuse the minimum bounding circle with the circumcircle.

All triangles have a circumcircle, but not all quadrilaterals do.

All three circles intersect the circumcircle of the triangle orthogonally.

The horizontal angle between two landmarks defines the circumcircle upon which the observer lies.

Nearly collinear points often lead to numerical instability in computation of the circumcircle.

A cyclic pentagon is one for which a circle called the circumcircle goes through all five vertices.

Additionally, the circumcircle of a triangle embedded in d dimensions can be found using a generalized method.

The radius of the circumcircle is (according to the Pythagorean theorem)

A rhombus has an inscribed circle, while a rectangle has a circumcircle.

The isogonal conjugate of the circumcircle is the line at infinity.

The circumcircle is tangent to the nine-point circle.

The section characterizations below states what necessary and sufficient conditions a quadrilateral must satisfy to have a circumcircle.

Let and denote the radii of the incircle and the circumcircle.

See circumcircle.

About every triangle a unique circle, called the circumcircle, can be circumscribed such that it goes through each of the triangle's three vertices.

The nine-point circle created for that orthocentric system is the circumcircle of the original triangle.

A kite is a right kite if and only if it has a circumcircle (by definition).

Not all quadrilaterals are bicentric (having both an incircle and a circumcircle).

The orthocenter lies on the circumcircle.

The two isodynamic points are inverses of each other relative to the circumcircle of the triangle.

The product of two sides of a triangle equals the altitude to the third side times the diameter of the circumcircle.

The tangent to a triangle's circumcircle at a vertex is antiparallel to the opposite side.