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Pregled bibliografske jedinice broj: 425199

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)


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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


Projekti:
037-0372785-2759 - Neasocijativne algebarske strukture i njihove primjene (Volenec, Vladimir, MZOS ) ( CroRIS)

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


Citiraj ovu publikaciju:

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)
Šimić, M., Volenec, V. & Beban-Brkić, J. (2010) Curvature of the Focal Conic in the Isotropic Plane. Sarajevo Journal of Mathematics, 6 (18), 117-123.
@article{article, author = {\v{S}imi\'{c}, Marija and Volenec, Vladimir and Beban-Brki\'{c}, Jelena}, year = {2010}, pages = {117-123}, keywords = {isotropic plane, conic, circle of curvature}, journal = {Sarajevo Journal of Mathematics}, volume = {6}, number = {18}, issn = {1840-0655}, title = {Curvature of the Focal Conic in the Isotropic Plane}, keyword = {isotropic plane, conic, circle of curvature} }
@article{article, author = {\v{S}imi\'{c}, Marija and Volenec, Vladimir and Beban-Brki\'{c}, Jelena}, year = {2010}, pages = {117-123}, keywords = {isotropic plane, conic, circle of curvature}, journal = {Sarajevo Journal of Mathematics}, volume = {6}, number = {18}, issn = {1840-0655}, title = {Curvature of the Focal Conic in the Isotropic Plane}, keyword = {isotropic plane, conic, circle of curvature} }




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