Naslov
THE VERTEX-MIDPOINT-CENTROID TRIANGLES

Autori
Čerin, Zvonko

Izvornik
Forum geometricorum (1534-1178) 4 (2004); 97-109

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

Ključne riječi
vertex; midpoint; centroid; central point of a triangle; equilateral triangle; isosceles triangle; orthologic; area; Brocard angle; circle; ellipse

Sažetak
This paper explores six triangles that have a vertex, a midpoint of a side, and the centroid of the base triangle ABC as vertices. They have many interesting properties and here we study how they monitor the shape of ABC. Our results show that certain geometric properties of these six triangles are equivalent with ABC being either equilateral or isosceles.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA