New interpolation inequalities to Euler's R >= 2r - Dorin Andrica and Dan Stefan Marinescu

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    New interpolation inequalities to Euler's R >= 2r - Dorin Andrica and Dan Stefan Marinescu

    The purpose of this paper is to obtain some interpolation inequalities to the well-known Euler's inequality R >= 2r in terms of new geometric elements given by the radii R_A, R_B, R_C of the tangent circles at the vertices to the circumcircle of a triangle and to the opposite sides. The main results are given in Theorems 4-8.

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