数学家约翰逊(R·A·Johnson)在其名著[1]中,介绍了三角形的斯俾克(Spieker)圆概念如下: 定义1设ΔABC三边BC,CA,AB的中点分别为D,E,F,则DEF的内切圆称为ΔABC的斯俾克圆。本文试将斯俾克圆的概念,从三角形推广到一般圆外切闭折线中,并探讨其性质。为了论述简便起 In his famous book [1], the mathematician Johnson (R.A. Johnson) introduced the concept of the triangular Spieker circle as follows: Definition 1 Let ΔABC three sides BC, CA, and AB be midpoints D, respectively. E, F, then the inscribed circle of the DEF is called the 俾ABC Stokes circle. This article attempts to extend the concept of Styracite from triangles to the general circular cut-off polylines, and discusses their properties. For ease of discussion