Proof of Longuerre’s theorem and its extensions by the method of polar coordinates

Zhihong Yu

Vol. 176 (1996), No. 2, 581–585

DOI: 10.2140/pjm.1996.176.581

Abstract

There are several methods to prove the well-known Longuerre’s theorem and its extensions in plane geometry. We now prove them by the method of polar coordinates. Our proof is characterized by its directness, simplicity, regularity, originality, and no need for any auxiliary lines.

Mathematical Subject Classification 2000

Primary: 51M04

Secondary: 51N20

Milestones

Received: 9 March 1995

Revised: 19 July 1995

Published: 1 December 1996