Pregled bibliografske jedinice broj: 57545
Triangles from areas
Triangles from areas // Mathematical Inequalities and Applications, 2 (1999), 1; 151-163 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 57545 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Triangles from areas
Autori
Čerin, Zvonko
Izvornik
Mathematical Inequalities and Applications 2
(1999), 1;
151-163
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
triangle; area triangular triple; inequality; central point; pedal; antipedal; areal coordinates
Sažetak
We consider the problem to determine for which central points X of the triangle ABC will the areas of triangles BCX, CAX, and ABX be sides of a triangle. We shall prove that only nine out of hundred and one central points from Kimberling's list have this property. The algebraic method of proof for this result is also used to obtain some new examples of three areas that are sides of a triangle and are build from elements of a given triagle.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037007
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Zvonko Čerin
(autor)
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
