Pregledni rad

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

A Complete Quadrilateral in Rectangular Coordinates

Vladimir Volenec ; Prirodoslovno-matematički fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska
Ema Jurkin orcid.org/0000-0002-8658-5446 ; Rudarsko-geološko-naftni fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska
Marija Šimić Horvath orcid.org/0000-0001-9190-5371 ; Arhitektonski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska

Sažetak

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.

Ključne riječi

Euclidean plane; complete quadrilateral; parabola

Hrčak ID:

288264

URI

https://hrcak.srce.hr/288264

Datum izdavanja:

28.12.2022.

Podaci na drugim jezicima: hrvatski

Posjeta: 1.230 *