The Tucker circles are a generalization of the cosine circle and first Lemoine circle which can be viewed as a family of circles obtained by parallel displacing sides of the corresponding cosine or Lemoine hexagon. No matter how the segments are displaced, the Tucker hexagon will close, and the 12 vertices will be concyclic. The cosine circle and first Lemoine circle correspond to the special case where three sides of the Tucker hexagon concur.

antiparallel | Apollonius circle | Brocard angle | circumcircle | coaxaloid system | cosine circle | cosine hexagon | first Lemoine circle | Gallatly circle | Kenmotu circle | Lemoine hexagon | parallelian | Taylor circle | Tucker hexagon