Heron三角形和菱形对有共同的面积和共同的周长
Heron triangle and rhombus pairs with a common area and a common perimeter
摘要：
利用Fermat方法证明了存在无穷多个具有公共面积和公共周长的Heron三角形和$θ$ -整菱形对。证明了不存在面积和周长相同的整等腰三角形和$θ$ -整菱形对。
英文摘要：
By Fermat's method, we show that there are infinitely many Heron triangle and $θ$-integral rhombus pairs with a common area and a common perimeter. Moreover, we prove that there does not exist any integral isosceles triangle and $θ$-integral rhombus pairs with a common area and a common perimeter.
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。
