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A NEW GEOMETRIC INEQUALITY AND ITS APPLICATIONSKeywords: triangle , point , the polar moment of the inertia inequality , real number , inequality. Abstract: In this paper, we establish a ternary quadratic geometric inequality involving a triangle and a point by using the polar moment of the inertia inequality of M.S. Klamkin. We also give new result some applications, and propose several related conjectures which are checked by the computer.
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