Review article

https://doi.org/10.31896/k.26.6

A Complete Quadrilateral in Rectangular Coordinates

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

A complete quadrilateral in the Euclidean plane is studied. The geometry of such quadrilateral is almost as rich as the geometry of a triangle, so there are lot of associated points, lines and conics. Hereby, the study was performed in the rectangular coordinates, symmetrically on all four sides of the quadrilateral with four parameters a, b, c, d. In this paper we will study the properties of some points, lines and circles associated to the quadrilateral. All these properties are well known, but here they are all proved by the same method. During this process, still some new results have appeared.

Keywords

Euclidean plane; complete quadrilateral; parabola

Hrčak ID:

288264

URI

https://hrcak.srce.hr/288264

Publication date:

28.12.2022.

Article data in other languages: croatian

Visits: 1.230 *