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笔者用类比和对称的思想方法,发展并证明了正多边形的一个有益的性质。问题起源于等腰三角形一个熟知的性质。引理.等腰三角形底边上任一点到两腰的距离之和为定值,它等于腰上的高。显然,对于正三角形有定理1.正三角形的边上任一点到各边距
The author develops and proves a beneficial feature of a regular polygon using analogy and symmetry. The problem stems from a well-known property of isosceles triangles. Lemma. The sum of the distance from any point to two waists on the bottom edge of an isosceles triangle is constant. It is equal to the waist height. Obviously, there is theorem 1 for regular triangles. Any point to margins on the sides of a regular triangle