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All three circles intersect the circumcircle of the triangle orthogonally.
en.wikipedia.org
Other names for these quadrilaterals are concyclic quadrilateral and chordal quadrilateral, the latter since the sides of the quadrilateral are chords of the circumcircle.
en.wikipedia.org
The nine-point circles are all congruent with a radius of half that of the cyclic quadrilateral's circumcircle.
en.wikipedia.org
The two isodynamic points are inverses of each other relative to the circumcircle of the triangle.
en.wikipedia.org
For example, the triangle connectivity can be used to locate the triangles which contain the new point in their circumcircle, without having to check all of the triangles.
en.wikipedia.org
The triangle's nine-point circle has half the diameter of the circumcircle.
en.wikipedia.org
Nearly collinear points often lead to numerical instability in computation of the circumcircle.
en.wikipedia.org
Additionally, the circumcircle of a triangle embedded in "d" dimensions can be found using a generalized method.
en.wikipedia.org
The diameter of the circumcircle can be computed as the length of any side of the triangle, divided by the sine of the opposite angle.
en.wikipedia.org
The horizontal angle between two landmarks defines the circumcircle upon which the observer lies.
en.wikipedia.org

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