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Pregled bibliografske jedinice broj: 473981

On Umbilic Axes of Circles of the Non Cyclic Quadrangle in the Isotropic Plane


Šimić, Marija; Volenec, Vladimir; Beban-Brkić Jelena
On Umbilic Axes of Circles of the Non Cyclic Quadrangle in the Isotropic Plane // Mathematica Pannonica, 21 (2010), 2; 239-250 (podatak o recenziji nije dostupan, članak, znanstveni)


Naslov
On Umbilic Axes of Circles of the Non Cyclic Quadrangle in the Isotropic Plane

Autori
Šimić, Marija ; Volenec, Vladimir ; Beban-Brkić Jelena

Izvornik
Mathematica Pannonica (0865-2090) 21 (2010), 2; 239-250

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Isotropic plane; Radical center; Radical axis; Umbilic point; Umbilic axis

Sažetak
A power of the point and a power of the line with respect to the circle in the isotropic plane are studied in this paper. To begin with, the radical axis and the radical center of circles in the isotropic plane are presented. As the principle of duality is preserved in the isotropic plane, notions dual to the radical axis and to the radical center, the umbilic point and the umbilic axis are introduced. Non cyclic quadrangle is called standard if a special hyperbola with the equation xy = 1 is circumscribed to it. The properties of the standard quadrangle related to the umbilic point and the umbilic axis are given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372785-2759 - Neasocijativne algebarske strukture i njihove primjene (Vladimir Volenec, )

Ustanove
Geodetski fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Arhitektonski fakultet, Zagreb