List questions from geometric-inequalities

Published on 22 Mar 2026 - 13:57

213

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Is the Incenter always "below" the middle point of an angle bisector segment in a triangle?

Published on 20 Mar 2026 - 3:07

159

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Geometric inequality : In a equilateral , $ 4(PD^2 +PE^2 + PF^2) \ge PA^2 + PB^2 + PC^2 $

Published on 20 Mar 2026 - 8:28

100

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Prove of an inequality between the radius and segments of an incircle

Published on 22 Mar 2026 - 6:19

93

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How can I enumerate sets of inequalities that give a nonempty feasible region?

Published on 22 Mar 2026 - 11:53

170

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What is the infimal norm of a matrix in a conjugacy class?

Published on 20 Mar 2026 - 5:01

287

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An inequality in triangle geometry involving triangle OIH

Published on 20 Mar 2026 - 12:54

137

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Find minimum value of $\sum \frac {\sqrt a}{\sqrt b +\sqrt c-\sqrt a}$

Published on 21 Mar 2026 - 18:13

37

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In a circle $C(O(0,0),1)$ with a polygon inscribed $A_1A_2...A_n$

Published on 20 Mar 2026 - 15:15

311

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Can I expect $|x|^s - |y|^s \leq C|x-y|^s$ for $s>1$?

Published on 19 Mar 2026 - 16:25

244

Views

A p-power inequality for Euclidean norm

Published on 22 Mar 2026 - 8:07

558

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Inequality for the Schatten norm of symmetric plus antisymmetric matrix

Published on 25 Mar 2026 - 14:25

43

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$BE,BC,CD$ form side lengths of a triangle

Published on 25 Mar 2026 - 12:53

324

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Triangle inequality $\frac{ab}{a^{2}+ b^{2}}+ \frac{bc}{b^{2}+ c^{2}}+ \frac{ca}{c^{2}+ a^{2}}\geq \frac{1}{2}+ \frac{2r}{R}$

Published on 20 Mar 2026 - 6:55

149

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Triangle inequality with the exradii $r_{a}$, $r_{b}$, $r_{c}$, the medians $m_{a}$, $m_{b}$, $m_{c}$

Published on 17 Mar 2026 - 2:29

List Question

2018 January Challenge: Prove inequality in geometry problem

Is the Incenter always "below" the middle point of an angle bisector segment in a triangle?

Geometric inequality : In a equilateral , $ 4(PD^2 +PE^2 + PF^2) \ge PA^2 + PB^2 + PC^2 $

Prove of an inequality between the radius and segments of an incircle

How can I enumerate sets of inequalities that give a nonempty feasible region?

What is the infimal norm of a matrix in a conjugacy class?

An inequality in triangle geometry involving triangle OIH

Find minimum value of $\sum \frac {\sqrt a}{\sqrt b +\sqrt c-\sqrt a}$

In a circle $C(O(0,0),1)$ with a polygon inscribed $A_1A_2...A_n$

Can I expect $|x|^s - |y|^s \leq C|x-y|^s$ for $s>1$?

A p-power inequality for Euclidean norm

Inequality for the Schatten norm of symmetric plus antisymmetric matrix

$BE,BC,CD$ form side lengths of a triangle

Triangle inequality $\frac{ab}{a^{2}+ b^{2}}+ \frac{bc}{b^{2}+ c^{2}}+ \frac{ca}{c^{2}+ a^{2}}\geq \frac{1}{2}+ \frac{2r}{R}$

Triangle inequality with the exradii $r_{a}$, $r_{b}$, $r_{c}$, the medians $m_{a}$, $m_{b}$, $m_{c}$

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