KnowraMiquel's theoremLinked fromLinked fromThe 9 pages that link to Miquel's theorem, each with the reason it gives.All 9Related 9Miquel pointRelated: It gives the concurrence that defines the Miquel point.Butterfly theoremRelated: Both results use linked circle incidences to force a non-obvious geometric relation.Clifford's circle theoremsRelated: It is a closely related local incidence result, often serving as a building block for Clifford's patterns.Six circles theoremRelated: Its local concyclicity principle underlies the circle-chain argument.Bottema's theoremRelated: It is another classical triangle result where local constructions force a global incidence.Casey's theoremRelated: It offers a complementary circle-configuration result used alongside tangent-circle geometry.Five circles theoremRelated: Its repeated-circle concurrency principle can yield the five-circle concyclicity relation.Haruki's theoremRelated: It illustrates how multiple circle constraints can force additional geometric structure.Seven circles theoremRelated: Its circle-intersection principle underlies the configuration’s chain of related points.