In the book by Keith Devlin on the Millenium Problems - in Chapter 6 on the Birch and Swinnerton-Dyer Conjecture we find the following text:
"It is a fairly straightforward piece of algebraic reasoning to show that there is a right triangle with rational sides having an area d if and only the equation:
has rational solutions for x and y with "
(Note: Devlin has defined d as a positive whole number earlier on)
Can someone please supply the straightforward algebra to show that:
There is a right triangle with rational sides having an area d if and only the equation:
has rational solutions for x and y with "
Peter