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The symmedian is the isogonal of the median of a triangle. I am interested in finding some additional properties of the symmedians. I have found the expression for the length of a symmedian, but I am interested in finding relations or inequalities between a triangle's symmedians. Do you know such relations, or some book/article which develops this topic? Thank you.

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Search special plane geometry books and internet resources for symmedians, Lemoint point, harmonic quadrilaterals and so on. – Fedor Petrov Feb 19 2011 at 20:10
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 The Mathlinks forum ( mathlinks.ro ) had some of these (Olympiad Section \ Geometry and Olympiad Section \ Inequalities). To be honest, I think the length is the least interesting thing a symmedian has... – darij grinberg Feb 19 2011 at 20:36
A good reference to get started is the classic "College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle" by Nathan Altshiller-Court. You can find it in the Dover Books on Mathematics series. You may also want to take a look at the answers to this question: math.stackexchange.com/questions/13735/… – Andres Caicedo Feb 19 2011 at 20:40
Thank you for your comments. – Beni Bogosel Feb 20 2011 at 6:29
I suggest you ask these questions at some other sites listed in the FAQ. – S. Carnahan♦ Feb 20 2011 at 15:20

closed as too localized by Dmitri Pavlov, Gjergji Zaimi, Igor Rivin, S. Carnahan♦ Feb 20 2011 at 15:20

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