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Curvature of the Focal Conic in the Isotropic Plane


Šimić, Marija; Volenec, Vladimir; Beban-Brkić, Jelena
Curvature of the Focal Conic in the Isotropic Plane // Sarajevo Journal of Mathematics, 6 (2010), 18; 117-123 (podatak o recenziji nije dostupan, članak, znanstveni)


Naslov
Curvature of the Focal Conic in the Isotropic Plane

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

Izvornik
Sarajevo Journal of Mathematics (1840-0655) 6 (2010), 18; 117-123

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

Ključne riječi
Isotropic plane; conic; circle of curvature

Sažetak
It has been shown that every focal conic C in the isotropic plane can be represented by the equation y^2 = ε x^2 + x, ε is element of {; ; ; ; ; − 1, 0, 1}; ; ; ; ; ; and a parametrization. This paper gives the equation of the circle of curvature at the point T of the focal conic C. The radius of curvature ρ at the point T of the focal conic C is given as well as its relation to the span δ from the center of C to the tangent T at the point T and to the length of the half diameter of C on the diameter parallel to the tangent T .

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