izvor podataka: crosbi
✓
On the Generalized Gergonne Point and Beyond (CROSBI ID 140823)
Prilog u časopisu | izvorni znanstveni rad
Hoffmann, Miklos ; Gorjanc, Sonja
On the Generalized Gergonne Point and Beyond // Forum geometricorum, 8 (2008), 151-155
Podaci o odgovornosti
Hoffmann, Miklos ; Gorjanc, Sonja
engleski
On the Generalized Gergonne Point and Beyond
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.
generalized Gergonne point
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
Povezanost rada
Povezane osobe
Povezane ustanove