欧米加圈
Omega Circles
摘要：
通过布罗卡点的圆（欧米茄圆）几乎拥有通过正交中心的圆的所有属性，包括内接于其中的关键三角形间接类似于内接于外接圆的三角形。本文描述了Ω圆的性质，从而总结了我们关于间接相似三角形的工作。它还表明，三个点的中位数相交的正交圆心圆是这样的，通过这些点的圆进行三角形直接类似于三角形内接外接圆。
英文摘要：
Circles through the Brocard points (Omega circles) share nearly all the properties of circles through the orthocentre including the fact that key triangles inscribed in them are indirectly similar to triangles inscribed in the circumcircle. Properties of Omega circles are described in this article, thereby concluding our work on indirectly similar triangles. It is also shown that the three points where the medians intersect the orthocentroidal circle are such that circles through these points carry triangles directly similar to triangles inscribed in the circumcircle.
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。
