论文标题
没有完美的三角形是等镜
No perfect triangle is isosceles
论文作者
论文摘要
一个完美的三角形是一个三角形，有理性的侧面，中位数和区域。在本文中，我们使用类似的策略来表明，如果$δ$是一个完美的三角形，那么它就不能成为等镜三角形。这给了理查德·盖伊（Richard Guy）的问题，他询问是否存在任何完美的三角形。迄今为止尚未找到示例。人们普遍认为这种三角形不存在。
A perfect triangle is a triangle with rational sides, medians, and area. In this article, we use a similar strategy due to Pocklington to show that if $Δ$ is a perfect triangle, then it cannot be an isosceles triangle. It gives a partial answer to a question of Richard Guy, who asked whether any perfect triangles exist. No example has been found to date. It is widely believed that such a triangle does not exist.
