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A Note on Harmonic Quadrangle in Isotropic Plane


Jurkin, Ema; Šimić Horvath, Marija; Vladimir Volenec
A Note on Harmonic Quadrangle in Isotropic Plane // The 17th International Conference on Geometry and Graphics
Peking, 2016. 132, 8 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)


Naslov
A Note on Harmonic Quadrangle in Isotropic Plane

Autori
Jurkin, Ema ; Šimić Horvath, Marija ; Vladimir Volenec

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
The 17th International Conference on Geometry and Graphics / - Peking, 2016

Skup
The 17th International Conference on Geometry and Graphics

Mjesto i datum
Peking, Kina, 04-08.08.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Isotropic plane ; cyclic quadrangle ; harmonic quadrangle

Sažetak
The harmonic quadrangle is a cyclic quadrangle $ABCD$ with the following property: the point of intersection of the tangents at the vertices $A$ and $C$ lies on the line $BD$, and the intersection point of the tangents at the vertices $B$ and $D$ lies on the line $AC$. If one of the requests is fulfilled, the other one automatically follows. In this paper we give some characterizations of harmonic quadrangles among the cyclic ones. We also study a new harmonic quadrangle associated to the given harmonic quadrangle $ABCD$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove
Arhitektonski fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Rudarsko-geološko-naftni fakultet, Zagreb