Naslov
Family of triangles and related curves

Autori
Halas, Helena ; Sliepčević, Ana

Izvornik
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti (1845-4100) 515 (2013); 203-210

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

Ključne riječi
triangle centers ; family of triangles ; envelope of lines ; envelope of circles

Sažetak
The article observes a one-parameter triangle family T. We prove that the sets of the orthocenters, centroids, circumcenters and the midpoints of the variable triangle side of the triangle family T lie on four different hyperbolae. Furthermore, there is constructed an envelope $k^4_3 of the perpendicular bisectors of the variable triangle sides. Also it is constructed a bicircular rational quartic as an envelope of the circumcircles of the triangle family T.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA