- Cosmin Pohoata, Harmonic Division and Its Applications, Mathematical Reflections, 4 (2007). (Link to the journal’s PDF file)
Let A, B, C, D be four points lying in this order on a given line. The quadruple (A, B, C, D) is called a harmonic division if and only if latex BA/BC=-DA/DC, or in terms of cross-ratios (A, B, C, D)=-1. In this article, we exemplify the use of harmonic divisions and polarity by solving some “olympiad-style problems”, appreciated for their difficulty on the MathLinks forum.
Note: Most of the problems presented here do not appear in V. Nicula, C. Pohoata, The Harmonic Division, GIL, 2007.
This entry was posted
on Tuesday, July 22nd, 2008 at 4:53 pm and is filed under Articles, papers, notes in Euclidean Geometry.
You can follow any responses to this entry through the RSS 2.0 feed.
Both comments and pings are currently closed.
