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On the Focal Curve of Conic Pencils in I_2

Jelena Beban-Brkić ; Faculty of Geodesy, University of Zagreb, Zagreb, Croatia

Puni tekst: engleski, pdf (13 MB) str. 35-42 preuzimanja: 114* citiraj
APA 6th Edition
Beban-Brkić, J. (1997). On the Focal Curve of Conic Pencils in I_2. KoG, 2 (2), 35-42. Preuzeto s https://hrcak.srce.hr/166350
MLA 8th Edition
Beban-Brkić, Jelena. "On the Focal Curve of Conic Pencils in I_2." KoG, vol. 2, br. 2, 1997, str. 35-42. https://hrcak.srce.hr/166350. Citirano 17.01.2020.
Chicago 17th Edition
Beban-Brkić, Jelena. "On the Focal Curve of Conic Pencils in I_2." KoG 2, br. 2 (1997): 35-42. https://hrcak.srce.hr/166350
Harvard
Beban-Brkić, J. (1997). 'On the Focal Curve of Conic Pencils in I_2', KoG, 2(2), str. 35-42. Preuzeto s: https://hrcak.srce.hr/166350 (Datum pristupa: 17.01.2020.)
Vancouver
Beban-Brkić J. On the Focal Curve of Conic Pencils in I_2. KoG [Internet]. 1997 [pristupljeno 17.01.2020.];2(2):35-42. Dostupno na: https://hrcak.srce.hr/166350
IEEE
J. Beban-Brkić, "On the Focal Curve of Conic Pencils in I_2", KoG, vol.2, br. 2, str. 35-42, 1997. [Online]. Dostupno na: https://hrcak.srce.hr/166350. [Citirano: 17.01.2020.]

Sažetak
Within the classification of conic pencils in the isotropic plane, which has been carried out using methods of analytical geometry and linear algebra, it is specially interesting to observe the curve of isotropic focuses, which is shown to be a 3rd order curve. The properties of this very curve for the discussed, most common subtype of conic pencils, are determined. It is shown that, referring to the selection of the fundamental points, it is possible to determine its shape, and to classify it according to the Newton's principle.
The discussed cases of conic pencils with its focal curves are illustrated with the figures drawn by Mathematica®.

Ključne riječi
isotropic plane; fundamental points; pencil of conic sections; matrix of quadratic form; eigenvalues; focal curve; Newton's classification

Hrčak ID: 166350

URI
https://hrcak.srce.hr/166350

[hrvatski]

Posjeta: 172 *