IJPAM: Volume 44, No. 3 (2008)

THE ANGLES $\frac{ \pi}{7}$, $\frac{2 \pi}{7}$, $\frac{4 \pi}{7}$

V. Volenec$^1$, Z. Kolar-Begovic$^2$, R. Kolar-Šuper$^3$
$^1$Department of Mathematics
University of Zagreb
Bijenicka c. 30, Zagreb, 10 000, CROATIA
e-mail: volenec@math.hr
$^2$Department of Mathematics
University of Osijek
Gajev trg 6, Osijek, 31 000, CROATIA
e-mail: zkolar@mathos.hr
$^3$Faculty of Teacher Education
University of Osijek
Lorenza Jägera 9, Osijek, 31 000, CROATIA
e-mail: rkolar@ufos.hr

Abstract.In this paper some interesting relations for the triangle with the angles $\frac{ \pi}{7}$, $\frac{2 \pi}{7}$, $\frac{4 \pi}{7}$ are considered. Statements about lengths of its sides, Brocard angle and radius of circumscribed circle are proved.

Received: December 17, 2007

AMS Subject Classification: 51M04

Key Words and Phrases: triangle, Brocard angle

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 44
Issue: 3