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## Diagonal Triangle of a Non-Tangential Quadrilateral in the Isotropic Plane

Beban-Brkić, Jelena; Šimić, Marija; Volenec, Vladimir
Diagonal Triangle of a Non-Tangential Quadrilateral in the Isotropic Plane // Mathematical communications, 16 (2011), 157-168 (međunarodna recenzija, članak, znanstveni)

Naslov
Diagonal Triangle of a Non-Tangential Quadrilateral in the Isotropic Plane

Autori
Beban-Brkić, Jelena ; Šimić, Marija ; Volenec, Vladimir

Izvornik
Mathematical communications (1331-0623) 16 (2011); 157-168

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Isotropic plane ; Non-tangential quadrilateral ; Diagonal triangle ; Focus ; Median

Sažetak
Properties of the non-tangential quadrilateral ABCD in the isotropic plane concerning its diagonal triangle are given in this paper. A quadrilateral is called standard if a parabola with the equation x = y^2 is inscribed in it. Every non-tangential quadrilateral can be represented in the standard position. First, the vertices and the equations of the sides of the diagonal triangle are introduced. It is shown that the midlines of the diagonal triangle touch the inscribed parabola of the quadrilateral. Furthermore, quadrilaterals formed by two diagonals and some two sides of the non-tangential quadrilateral ABCD are studied and a few theorems on its foci are presented.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Projekt / tema
037-0372785-2759 - Neasocijativne algebarske strukture i njihove primjene (Vladimir Volenec, )

Ustanove
Geodetski fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Arhitektonski fakultet, Zagreb

#### Citiraj ovu publikaciju

Beban-Brkić, Jelena; Šimić, Marija; Volenec, Vladimir
Diagonal Triangle of a Non-Tangential Quadrilateral in the Isotropic Plane // Mathematical communications, 16 (2011), 157-168 (međunarodna recenzija, članak, znanstveni)
Beban-Brkić, J., Šimić, M. & Volenec, V. (2011) Diagonal Triangle of a Non-Tangential Quadrilateral in the Isotropic Plane. Mathematical communications, 16, 157-168.
@article{article, year = {2011}, pages = {157-168}, keywords = {Isotropic plane, Non-tangential quadrilateral, Diagonal triangle, Focus, Median}, journal = {Mathematical communications}, volume = {16}, issn = {1331-0623}, title = {Diagonal Triangle of a Non-Tangential Quadrilateral in the Isotropic Plane}, keyword = {Isotropic plane, Non-tangential quadrilateral, Diagonal triangle, Focus, Median} }

#### Časopis indeksira:

• Web of Science Core Collection (WoSCC)
• Science Citation Index Expanded (SCI-EXP)
• SCI-EXP, SSCI i/ili A&HCI
• Scopus

#### Uključenost u ostale bibliografske baze podataka:

• INSPEC
• Zentrallblatt für Mathematik/Mathematical Abstracts
• Current Mathematical Publications
• Mathematical Review
• MATH on STN International
• CompactMath
• Urlichćs
• Current Indeks to Statistics