Naslov
On Complete Quadrilateral in Rectangular Coordinates

Autori
Jurkin, Ema ; Šimić Horvath Marija

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Abstracts-5th Croatian Conference on Geometry and Graphics / Došlić, Tomislav ; Jurkin, Ema - Zagreb : Hrvatsko društvo za geometriju i grafiku, 2022, 57-58

Skup
5th Croatian Conference on Geometry and Graphics

Mjesto i datum
Dubrovnik, Hrvatska, 03.09.2022. - 07.09.2022

Vrsta sudjelovanja
Poster

Vrsta recenzije
Domaća recenzija

Ključne riječi
Euclidean plane ; complete quadrilateral ; parabola

Sažetak
A complete quadrilateral in the Euclidean plane is studied. The geometry of such quadrilateral is almost as rich as the geometry of triangle, so there are lot of associated points, lines and conics. Hereby, the study was performed in the rectangular coordinates, symmetricaly on all four sides of the quadrilateral with four parameters a, b, c, d. In this part 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. For example: Parabolas circumscribed to trilaterals formed by three sides of the quadrilateral with axes parallel to the axis of parabola P inscribed to that quadrilateral arises from each other by using translations. They have parameter equal to the quarter of the parameter of P.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA