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Napoleon's quasigroups (CROSBI ID 160886)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Krčadinac, Vedran
Napoleon's quasigroups // Mathematica slovaca, 61 (2011), 6; 885-894. doi: 10.2478/s12175-011-0055-9
Podaci o odgovornosti
Krčadinac, Vedran
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
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