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Some Inequalities for a Triangle
The Mathematical Gazette, 1964Let O be an interior point of a triangle ABC . Let x, y, z denote the distances from O to the vertices of ABC and
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“Some Inequalities for a Triangle”
The Mathematical Gazette, 1969In a paper with the same title, Carlitz [1] proves two inequalities about a triangle ABC and an internal point O :
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Similarity, kernels, and the triangle inequality
Journal of Mathematical Psychology, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jäkel, F., Schölkopf, B., Wichmann, F.
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Generalising a triangle inequality
The Mathematical Gazette, 2018The main goal of this paper is to give a deeper understanding of the geometrical inequality proposed by Martin Lukarevski in [1]. In order to formulate our results we shall introduce and use the following notation throughout this paper. Let A 1 A 2
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Inequalities with Several Triangles
1989Let ABC be a triangle. Let D be a point between B and C, let E be a point between C and A, and let F be a point between A and B. Denote the areas of triangles DEF, AEF, BFD, CDE by G, F1, F2, F3, respectively, and assume without loss of generality that F1 ≤ F2 ≤ F3.
D. S. Mitrinović +2 more
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Duality between Different Triangle Inequalities and Triangle Inequalities with (R, r, s)
1989A very useful method in proving geometric inequalities is the transformation of any triangle inequality $$ F({f_1}({u_1},{v_1},{w_1}),...,{f_n}({u_n},{v_n},{w_n})) \geqslant 0 $$ (1) where (ui, vi, wi) (i = 1, ..., n) are sets of triangle elements, into a triangle inequality with (R, r, s).
D. S. Mitrinović +2 more
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Regular random choice and the triangle inequalities
Journal of Mathematical Psychology, 2022Yves Sprumont
exaly