Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

The Napoleon-Barlotti theorem in pentagonal quasigroups (CROSBI ID 242575)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Vidak, Stipe The Napoleon-Barlotti theorem in pentagonal quasigroups // Glasnik matematički, 51 (2016), 2; 359-377. doi: 10.3336/gm.51.2.06

Podaci o odgovornosti

Vidak, Stipe

engleski

The Napoleon-Barlotti theorem in pentagonal quasigroups

Pentagonal quasigroups are IM-quasigroups in which the additional identity (ab·a)b·a = b holds. GS- quasigroups are IM-quasigroups in which the identity a(ab · c) · c = b holds. The relation between these two subclasses of IM-quasigroups is studied. The geometric concepts of GS-trapezoid and affine regular pentagon, previously defined and studied in GS-quasigroups, are now defined in a general pentagonal quasigroup. Along with the concepts of the regular pentagon and the centre of the regular pentagon, previously defined in pentagonal quasigroups, this enables formulations and proofs of some theorems of the Euclidean plane in a general pentagonal quasigroup. Among these theorems is the famous Napoleon-Barlotti theorem in the case n = 5.

pentagonal quasigroup, regular pentagon, center of regular pentagon

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

51 (2)

2016.

359-377

objavljeno

0017-095X

1846-7989

10.3336/gm.51.2.06

Povezanost rada

Matematika

Poveznice
Indeksiranost