engleski

Napoleon's quasigroups

Napoleon's quasigroups are idempotent medial quasigroups satisfying the identity (ab.b)(b.ba)=b. In works by V.Volenec geometric terminology has been introduced in medial quasigroups, enabling proofs of many theorems of plane geometry to be carried out by formal calculations in a quasigroup. This class of quasigroups is particularly suited for proving Napoleon's theorem and other similar theorems about equilateral triangles and centroids.

medial quasigroup ; Napoleon's theorem

nije evidentirano