Abstract
As is well known, Leonardo da Pisa gave a very precise approximation for the only irrational root of the equation x 3 + 2 x 2 + 10 x = 20. Two hypotheses concerning his method were put forward in the XIX century. With good reason they were criticized by M. Cantor in his Vorlesungen. In the present paper it is argued that Leonardo calculated his approximate value using step-by-step the rule of two false positions. Our argument is based on an analysis of all approximation methods used by him.
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