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约尔刚(Gergonne)点是人们熟知的三角形中的“巧合点”之一,因约尔刚(J.D.Ger-gonne,法国数学家,1771-1859)发现三角形的如下优美性质而得名[1]:定理0连接三角形的顶点和内切圆与对边切点的直线交于一点.上述结论可以推广至有棱切球(充要条件是四面体的三组对棱之和相等)[2]的
The Gergonne point is one of the “coincidence points” in the well-known triangle, which was named after the discovery by the JD Ger-gonne of the French mathematician (1771-1859) of the graceful nature of the triangle [1 ]: Theorem 0 The vertices of the connecting triangle and the inscribed circle intersect with the straight line of the tangent point on the opposite side. The above conclusion can be generalized to have the edge-cut ball (provided that the sum of the three pairs of edges of the tetrahedron is equal) [2 ]of