Pregled bibliografske jedinice broj: 953291
On some Curves Related to Pencil of Triangles in Isotropic Plane
On some Curves Related to Pencil of Triangles in Isotropic Plane // Abstracts - 4th Croatian Conference on Geometry and Graphics
Peroj, Hrvatska, 2018. str. 19-19 (predavanje, nije recenziran, sažetak, znanstveni)
CROSBI ID: 953291 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some Curves Related to Pencil of Triangles in Isotropic Plane
Autori
Katić Žlepalo, Mirela ; Jurkin, Ema
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Abstracts - 4th Croatian Conference on Geometry and Graphics
/ - , 2018, 19-19
Skup
4. hrvatska konferencija za geometriju i grafiku
Mjesto i datum
Peroj, Hrvatska, 02.09.2018. - 06.09.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
isotropic plane, pencil of triangles
Sažetak
We observe a pencil of triangles in isotropic plane whose vertices A and B are fixed, while vertex $C$ moves on the circumscribed circle. We prove that the locus of all centroids of triangles in such a pencil is a circle, the locus of all Gergonne points is a curve of order 4 and the locus of all symmedian centers is an ellipse. For the tangential triangles of all the triangles in such a pencil we prove that the locus of all centroids of all triangles is a line, the locus of all Gergonne points is an ellipse and the locus of all symmedian centers is a curve of order 3.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Rudarsko-geološko-naftni fakultet, Zagreb,
Tehničko veleučilište u Zagrebu
