Linked from

The 22 pages that link to Circumcircle, each with the reason it gives.

• Cyclic quadrilateralNarrower topic: The circumcircle is the shared circle that makes the quadrilateral cyclic.

• CircumcenterRelated: The circumcenter is the center of a triangle’s circumcircle.

• Regular polygonRelated: Every regular polygon has a circumcircle centered at its symmetry center.

• Ptolemy's theoremRelated: Its existence is the defining geometric condition in Ptolemy's theorem.

• IncircleCompared with: Unlike the incircle, it passes through the vertices rather than touching the side segments.

• SemiperimeterRelated: Triangle formulas involving the circumradius pair it with side lengths and semiperimeter.

• Thales' theoremRelated: For a right triangle, its hypotenuse is the circumcircle's diameter.

• Euler lineRelated: Its center is the circumcenter, which fixes one of the Euler line’s principal points.

• Nine-point circleRelated: The circle also passes through the midpoints of the arcs between each pair of vertices.

• Law of sinesRelated: Each side is a chord whose length equals the circumcircle’s diameter times the sine of its opposite angle.

• Miquel's theoremNarrower topic: Each constituent triangle contributes one circumcircle to the concurrency.

• Euler's inequalityBroader topic: Its radius supplies one of the two quantities in the inequality.

• Miquel pointNarrower topic: Each triangle in the configuration contributes one circumcircle.

• Simson lineRelated: The point must lie on this circle for the three projections to align.

• Clifford's circle theoremsRelated: Circumcircles of triangles supply the circles repeatedly intersected in these configurations.

• Equal Incircles TheoremCompared with: Its radius is not the inradius compared by this theorem.

• Japanese theorem for cyclic polygonsRelated: It is the common circle containing the polygon’s vertices.

• Lester's theoremRelated: The circumcenter in the theorem is defined through this circle.

• Pompeiu's theoremBroader topic: Points on the equilateral triangle's circumcircle produce the equality case in the distance relation.

• Reuschle's theoremRelated: Triangle-circle relationships provide the setting for the theorem.

• Van Lamoen circleRelated: The Van Lamoen circle is likewise a circumcircle, but its defining points are six centroids.

• Van Schooten's theoremRelated: The position of P on this circle fixes the equal-angle relations in the theorem.