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The Curve of Centres and the Curve of all Isotropic Focal points in the Conic Section pencil Given by Two Double points of an Isotropic Plane

Miljenko Lapaine   ORCID icon orcid.org/0000-0002-9463-2329 ; Faculty of Geodesy, University of Zagreb, Zagreb, Croatia

Puni tekst: hrvatski, pdf (102 KB) str. 49-54 preuzimanja: 371* citiraj
APA 6th Edition
Lapaine, M. (2002). Krivulja središta i krivulja fokusa u pramenu konika zadanom pomoću dviju dvostrukih točaka u izotropnoj ravnini. KoG, 6. (6.), 49-54. Preuzeto s https://hrcak.srce.hr/3939
MLA 8th Edition
Lapaine, Miljenko. "Krivulja središta i krivulja fokusa u pramenu konika zadanom pomoću dviju dvostrukih točaka u izotropnoj ravnini." KoG, vol. 6., br. 6., 2002, str. 49-54. https://hrcak.srce.hr/3939. Citirano 25.02.2020.
Chicago 17th Edition
Lapaine, Miljenko. "Krivulja središta i krivulja fokusa u pramenu konika zadanom pomoću dviju dvostrukih točaka u izotropnoj ravnini." KoG 6., br. 6. (2002): 49-54. https://hrcak.srce.hr/3939
Harvard
Lapaine, M. (2002). 'Krivulja središta i krivulja fokusa u pramenu konika zadanom pomoću dviju dvostrukih točaka u izotropnoj ravnini', KoG, 6.(6.), str. 49-54. Preuzeto s: https://hrcak.srce.hr/3939 (Datum pristupa: 25.02.2020.)
Vancouver
Lapaine M. Krivulja središta i krivulja fokusa u pramenu konika zadanom pomoću dviju dvostrukih točaka u izotropnoj ravnini. KoG [Internet]. 2002 [pristupljeno 25.02.2020.];6.(6.):49-54. Dostupno na: https://hrcak.srce.hr/3939
IEEE
M. Lapaine, "Krivulja središta i krivulja fokusa u pramenu konika zadanom pomoću dviju dvostrukih točaka u izotropnoj ravnini", KoG, vol.6., br. 6., str. 49-54, 2002. [Online]. Dostupno na: https://hrcak.srce.hr/3939. [Citirano: 25.02.2020.]

Sažetak
Conic section pencils given by two double points are discussed. It is proved that the curve of centres decomposes into two straight lines, one of which is passing through the two double base points, while the other is passing through the intersection of common tanget lines of all conics of the pencil and through the centre of the straight segment joining the base points. Furthermore, it is proved that the curve of all isotropic focal points decomposes into a straight line and a conic. These straight line and conic are passing through the double base points of pencil, and the conic through the intersection of common tangent lines of all conics of the pencil.

Ključne riječi
conic section pencil; curve of centres; curve of all isotropic focal points; isotropic plane

Hrčak ID: 3939

URI
https://hrcak.srce.hr/3939

[hrvatski]

Posjeta: 631 *