Perhaps this should be linked to on the website as well ... happy elliptic 
curve reading!

https://www.quora.com/How-do-you-find-the-positive-integer-solutions-to-frac-x-y%2Bz-%2B-frac-y-z%2Bx-%2B-frac-z-x%2By-4/answer/Alon-Amit?share=1

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