KnowraCyclic quadrilateralLinked fromLinked fromThe 21 pages that link to Cyclic quadrilateral, each with the reason it gives.All 21Broader topic 10Related 9Narrower topic 1Compared with 1Inscribed angle theoremBroader topic: Its opposite angles subtend complementary arcs and therefore sum to 180 degrees.QuadrilateralBroader topic: Opposite angles in this special case are supplementary.Brahmagupta's formulaBroader topic: Checking this condition prevents misuse on a general quadrilateral.Ptolemy's inequalityBroader topic: These quadrilaterals are precisely the standard equality cases.Bretschneider's formulaBroader topic: For this special case, the angle correction vanishes and the formula reduces to Brahmagupta's.Euler's quadrilateral theoremBroader topic: Its equal diagonal-midpoint distances offer a useful special case of the general formula.Six circles theoremBroader topic: The proof reduces successive circle incidences to cyclic quadrilaterals.Conway circle theoremBroader topic: The theorem’s concyclicity can be checked through equal-angle or opposite-angle conditions.Japanese theoremBroader topic: Its opposite angles are supplementary, supplying the angle relations used in the proof.Japanese theorem for cyclic polygonsBroader topic: The theorem’s first nontrivial polygon case is a cyclic quadrilateral.