2017/07/03 by Zhang, Yong, Peng, Junyao
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1707.00526
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.