A Persian poet and known as the "tentmaker," I wrote an Algebra that eclipsed al-Khowarizmi's work

I used conic sections to demonstrate the geometrical construction of roots for every type of cubic equation.

If my curves did not intersect or intersected more than once, I did not recognize the existence of negative roots, let alone imaginary roots.

I claimed that I had a rule for finding fourth, fifth, sixth, and higher powers of a binomial, but no one can find my writings about this rule.

I tried to solidify Euclidean geometry by a proof of the parallel postulate, but my approach was never completed.