Izvorni znanstveni članak

On parabolas related to the cyclic quadrangle in isotropic plane

Marija Šimić Horvath orcid.org/0000-0001-9190-5371 ; Faculty of Architecture, University of Zagreb, 10 000 Zagreb, Croatia
Vladimir Volenec ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
Jelena Beban-Brkić ; Faculty of Geodesy, University of Zagreb, 10 000 Zagreb, Croatia

Sažetak

The geometry of the cyclic quadrangle in the isotropic plane has been discussed in [11]. Therein, its diagonal triangle and diagonal points were introduced. Hereby, we turn our attention to parabolas inscribed to non tangential quadrilaterals of the cyclic quadrangle. Non tangential quadrilaterals of the cyclic quadrangle are formed by taking its four sides out of six. Several properties of these parabolas related to diagonal points of the cyclic quadrangle are studied.

Ključne riječi

Isotropic plane; cyclic quadrangle; parabolas related to the cyclic quadrangle

Hrčak ID:

165788

URI

https://hrcak.srce.hr/165788

Datum izdavanja:

15.9.2016.

Posjeta: 1.336 *