Linked from

The 20 pages that link to Circumcenter, each with the reason it gives.

• CentroidCompared with: It depends on vertex geometry rather than the triangle’s area distribution.

• CircumcircleBroader topic: It is the center from which the circumcircle’s radius is measured.

• IncenterCompared with: The circumcenter is vertex-equidistant, whereas the incenter is side-equidistant.

• Perpendicular bisectorBroader topic: It is found by intersecting perpendicular bisectors of the triangle’s sides.

• OrthocenterRelated: Comparing it with the orthocenter reveals a central relation in a triangle’s geometry.

• Triangle geometryBroader topic: It is obtained by intersecting the perpendicular bisectors of the sides.

• Focus (geometry)Compared with: A circumcenter is defined by equal distances to vertices, unlike a conic focus.

• Euler lineRelated: It is one endpoint of the segment whose line also contains the centroid and orthocenter.

• Nine-point circleRelated: The nine-point center lies halfway between the circumcenter and orthocenter.

• Euler's inequalityRelated: It is the center of the circumcircle whose radius is bounded below.

• Simson lineRelated: It determines the circle on which the defining point must lie.

• Fermat pointCompared with: It equalizes distances to the vertices rather than minimizing their sum.

• Triangle centersBroader topic: It is the center of the circle through all three vertices.

• Scalene triangleRelated: For a scalene triangle, this center is generally distinct from the incenter and centroid.

• Napoleon's theoremRelated: Some formulations use the circumcenters of the erected equilateral triangles instead of their centroids.

• Feuerbach's theoremRelated: Together with the orthocenter, it determines the nine-point center.

• Incenter–excenter lemmaCompared with: Unlike the incenter and excenters, it is defined by vertex distances.

• Lester's theoremRelated: It is one of the five centers on the Lester circle.

• Reuschle's theoremBroader topic: This center is a typical participant in classical center-and-circle theorems.

• Van Schooten's theoremRelated: For an equilateral triangle, choosing P at this center makes the distance identity immediate.