Clifford's circle theorems

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns gptkb:butter
concurrent circles
intersecting circles
gptkbp:field gptkb:geometry
gptkbp:firstTheorem If four circles pass through a common point, then the other three points of intersection are concyclic.
gptkbp:generalizes Miquel's theorem
https://www.w3.org/2000/01/rdf-schema#label Clifford's circle theorems
gptkbp:namedAfter gptkb:William_Kingdon_Clifford
gptkbp:numberOfTheorems four
gptkbp:publicationYear 1871
gptkbp:publishedIn gptkb:Proceedings_of_the_London_Mathematical_Society
gptkbp:secondTheorem If four circles pass through a common point, and a fifth circle passes through the other three points of intersection, then the five points of intersection of the fifth circle with the original four are concyclic.
gptkbp:bfsParent gptkb:John_Clifford_(mathematician)
gptkbp:bfsLayer 7