Izvorni znanstveni članak
https://doi.org/10.21857/yl4okf5qp9
On some properties of Kiepert parabola in the isotropic plane
Vladimir Volenec
; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
Zdenka Kolar-Begović
; Department of Mathematics and Faculty of Education, University of Osijek, 31 000 Osijek, Croatia
Sažetak
n this paper we consider the curve which is an envelope of the axes of homology of a given triangle and the corresponding Kiepert triangles in the isotropic plane - the Kiepert parabola of the given triangle. We derive the equation of this parabola by using appropriate coordinate system. We give some new significant characterizations of this curve which are not valid in the Euclidean plane. We have also studied the relationships between Kiepert parabola and the Steiner point, the tangential triangle as well as the Jerabek hyperbola of the given triangle.
Ključne riječi
Isotropic plane; Kiepert parabola; Steiner point
Hrčak ID:
307496
URI
Datum izdavanja:
25.8.2023.
Posjeta: 171 *