相似性研究
Studies in Similarity
摘要：
三个圆定义三角形的每个布罗卡点。如果通过一对顶点和正交中心将三个圆相加，则有九个圆。它描述了如何每个九个中心的这些圆圈在于顶点的两个三角形生产六个三角形。这些三角形都与原始三角形相似，其中三个直接相似，三个间接相似。后三者以外心为透视者，相互透视。
英文摘要：
Three circles define each of the Brocard points of a triangle. If one adds the three circles through a pair of vertices and the orthocentre one has nine circles. It is described how each of the nine centres of these circles lies at the vertex of two triangles producing six triangles. These triangles are each similar to the original triangle, three being directly similar and three indirectly similar. These latter three are mutually in perspective with the circumcentre as perspector.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
