On Invariance of Brocard Angles in Interior and Exterior Pappus Triangles of Any Given Triangle

摘要：

One of the Pappus theorems (Pappus of Alexandria, the great Greek mathematicians of Antiquity, c.290-c.350 AD) discusses a triangle ABC where points D, E,F on sides AB, AC, BC satisfy the proportion BD/DC=CE/EA=AF/FB=a (Figure 1).Pappus proved that triangle DEF and its original triangle ABC have the same centroid.

关键词： Pappus triangles Brocard angle Brocard points

作者: Victor Oxman Avi Sigler Moshe Stupel

作者单位: Western Galilee College,Israel;Shaanan College,Israel Efrata College,Israel Shaanan College,Israel

会议类型: 国际会议

会议名称: The 17th International Conference on Geometry and Graphics(ICGG2016)(第17届几何与图学国际会议)

会议地点: 北京

会议语种:英文

页码: 42-43

在线出版日期: 2016-08-04（万方平台首次上网日期，不代表论文的发表时间）