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A Geometric Way to Generate Blundon Type Inequalities

General Mathematics 2012-05-08 v1

Abstract

We present a geometric way to generate Blundon type inequalities. Theorem 3.1 gives the formula for cosPOQ in terms of the barycentric coordinates of the points P and Q with respect to a given triangle. This formula implies Blundon type inequalities generated by the points P and Q (Theorem 3.2). Some applications are given in the last section by choosing special points P and Q.

Keywords

Cite

@article{arxiv.1205.1145,
  title  = {A Geometric Way to Generate Blundon Type Inequalities},
  author = {Dorin Andrica and Catalin Barbu and Nicusor Minculete},
  journal= {arXiv preprint arXiv:1205.1145},
  year   = {2012}
}

Comments

13 pages submitted to MIA 2012