Pregled bibliografske jedinice broj: 344720
On the Generalized Gergonne Point and Beyond
On the Generalized Gergonne Point and Beyond // Forum Geometricorum, 8 (2008), 151-155 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 344720 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the Generalized Gergonne Point and Beyond
Autori
Hoffmann, Miklos ; Gorjanc, Sonja
Izvornik
Forum Geometricorum (1534-1178) 8
(2008);
151-155
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
generalized Gergonne point
Sažetak
In this paper we generalize the concept of Gergonne point which is a well-known center of the triangle. Given a triangle $V_1V_2V_3$, a point $I$ and three arbitrary directions, we find a distance $x=IQ_1=IQ_2=IQ_3$ along these directions, for which the three cevians $V_iQ_i$ are concurrent. Types and number of solutions, which can be obtained by the common intersection points of three conics, are also discussed in detail.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
082-0000000-0893 - Krivulje i plohe u euklidskom i neeuklidskim prostorima
Ustanove:
Građevinski fakultet, Zagreb
Profili:
Sonja Gorjanc
(autor)
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
