Naslov
On the cubic of Napoleon

Autori
Čerin, Zvonko

Izvornik
Journal of Geometry 66 (1999); 55-71

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

Ključne riječi
triangle; cubic; isogonal conjugate; pedal

Sažetak
This paper explores properties of an interesting cubic from the Euler pencil of analagmatic cubics associated to a triangle. Our arguments are algebraic and use a combination of trilinear coordinates and complex numbers. We study its basic properties with emphasis on ways how to recognise this curve in various geometric configurations. Since this cubic is closely tied with the so called Napoleon configuration of a scalene triangle, we named it the Napoleon cubic.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA