Agoraphobia 发表于 2025-3-21 20:02:55
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Geometry and Trigonometrye following property of the equilateral triangles, which was noticed by the Romanian mathematician D. Pompeiu in 1936. Pompeiu’s theorem is a simple fact, part of classical plane geometry. Surprisingly, it was discovered neither by Euler in the eighteenth century nor by Steinitz in the nineteenth.弓箭 发表于 2025-3-22 07:45:34
Algebra and AnalysisIn this section we will consider some applications of the simplest inequality in algebra:.,where equality holds if and only if . = 0.NEX 发表于 2025-3-22 10:13:23
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Geometry and Trigonometry1. The idea is to look at what happen in a neighborhood of a vertex. Let . be a triangle that is not equilateral and suppose that . < .. Let .. Choose . inside . such that . and .. This is possible because of the continuity of the distance function.整理 发表于 2025-3-22 20:49:38
Algebra and Analysis1. If the inequalities.hold simultaneously, then by adding them we obtain .(.+.+.+) > 1.燕麦 发表于 2025-3-23 01:14:01
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