Pregled bibliografske jedinice broj: 365143
Concentric Circles and the Generalized Gergonne Point
Concentric Circles and the Generalized Gergonne Point // Proceedings of 13th International Conference on Geometry and Graphics / Gunter Weiss (ur.).
Dresden, 2008. (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
CROSBI ID: 365143 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Concentric Circles and the Generalized Gergonne Point
Autori
Hoffmann, Miklos ; Gorjanc, Sonja
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of 13th International Conference on Geometry and Graphics
/ Gunter Weiss - Dresden, 2008
ISBN
978-3-86780-042-6
Skup
13th International Conference on Geometry and Graphics
Mjesto i datum
Dresden, Njemačka, 04.08.2008. - 08.08.2008
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Gergonne point; conic; pencil of conic
Sažetak
The well-known triangle center, the Gergonne point is generalized for circles concentric to the inscribed circle in this paper. Given a triangle V1V2V3, a point I and three arbitrary directions q1, q2, q3, we consider a circle with radius r and center I, for which finding r=IQ1=IQ2=IQ3 along the given directions, the three cevians ViQi are concurrent. Solutions can be obtained by the common intersection points of three conics. Geometric properties and open problems related to the solutions are discussed in a synthetic way.
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)
