内接于三角形的圆与相关曲面三角形的关系
Relationships Between Circles Inscribed in Triangles and Related Curvilinear Triangles
摘要：
如果P是三角形ABC内的一个点，那么通过P延伸到三角形ABC外接圆的cevians创建一个包含许多曲线三角形的图形。每个曲线三角形由外接圆的弧和沿着原始三角形的边或圆的两个线段界定。我们给出了这些曲线三角形的各种集合内接的圆的半径之间的关系的定理。
英文摘要：
If P is a point inside triangle ABC, then the cevians through P extended to the circumcircle of triangle ABC create a figure containing a number of curvilinear triangles. Each curvilinear triangle is bounded by an arc of the circumcircle and two line segments lying along the sides or cevians of the original triangle. We give theorems about the relationships between the radii of circles inscribed in various sets of these curvilinear triangles.
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。
