Solving cubic equations in two variables
B. Kreussler. Solving Cubic Equations in Two Variables, Irish Math. Soc. Bulletin, 60 (2007) 45-66.
Abstract
After recalling a geometric construction of all Pythagorean triples of integers, the same idea is applied to find rational solutions of cubic equations in two variables. This leads to the definition of the Mordell-Weil group. The final selection collects some of the basic properties of this group.
Keywords
SolvingCubic
Equations
Two
Variables
Pythagoras
Example
Theorem