Original scientific paper

https://doi.org/10.31896/k.23.3

Covertex Inscribed Triangles of Parabola in Isotropic Plane

Vladimir Volenec ; Faculty of Science, University of Zagreb, Zagreb, Croatia
Ema Jurkin orcid.org/0000-0002-8658-5446 ; Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, Zagreb, Croatia
Marija Šimić Horvath orcid.org/0000-0001-9190-5371 ; Faculty of Architecture, University of Zagreb, Zagreb, Croatia

Abstract

In the paper the concept of a covertex inscribed triangle of a parabola in an isotropic plane is introduced. It is a triangle inscribed to the parabola that has the centroid on the axis of parabola, i.e. whose circumcircle passes through the vertex of the parabola. We determine the coordinates of the triangle centers, and the equations of the lines, circles and conics related to the triangle.

Keywords

isotropic plane; triangle; parabola

Hrčak ID:

230718

URI

https://hrcak.srce.hr/230718

Publication date:

20.12.2019.

Article data in other languages: croatian

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