论文标题
无限的，融合的brocard porism序列
An Infinite, Converging, Sequence of Brocard Porisms
论文作者
论文摘要
Brocard Porism是一个已知的三角族，刻在一个圆圈中，并在椭圆上受到限制。值得注意的是，Brocard角度是不变的，Brocard点位于椭圆形的焦点处。在本文中，我们表明，某个衍生的三角形产生了第二个，较小的brocard porism，因此重复该计算会产生无限的，收敛的孔隙式序列。我们还表明，这个序列嵌入了连续的宠物家族中。
The Brocard porism is a known 1d family of triangles inscribed in a circle and circumscribed about an ellipse. Remarkably, the Brocard angle is invariant and the Brocard points are stationary at the foci of the ellipse. In this paper we show that a certain derived triangle spawns off a second, smaller, Brocard porism so that repeating this calculation produces an infinite, converging sequence of porisms. We also show that this sequence is embedded in a continuous family of porisms.
