Results 141 to 150 of about 177,016 (186)

Inequalities Associated with the Triangle

Canadian Mathematical Bulletin, 1965
Let R, r, s represent respectively the circumradius, the inradius and the semiperimeter of a triangle with sides a, b, c. Let f(R, r) and F(R, r) be homogeneous real functions. Let q(R, r) and Q(R, r) be real quadratic forms. The latter functions are thus a special case of the former.
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Geometric (Triangle) Inequalities

2012
These inequalities in most cases have as variables the lengths of the sides of a given triangle; there are also inequalities in which appear other elements of the triangle, such as lengths of heights, lengths of medians, lengths of the bisectors, angles, etc.
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Some Inequalities for a Triangle

The Mathematical Gazette, 1964
Let 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, 1969
In 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, 2008
zbMATH 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, 2018
The 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

1989
Let 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, J. E. Pečarić, V. Volenec   +2 more
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Duality between Different Triangle Inequalities and Triangle Inequalities with (R, r, s)

1989
A 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, J. E. Pečarić, V. Volenec   +2 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

A Triangle Inequality

2022
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