He found geometric solutions to all 13 forms of cubic equations.
Moduli spaces, quite broadly, are geometric solutions to geometric classification problems.
He was also the first to find the general geometric solution to cubic equations.
It was the perfectly geometric, perfectly democratic, perfectly isolationist solution to land settlement.
This particular geometric solution of cubic equations has been further investigated and extended to degree four equations.
Omar Khayyám (1048-1131) found geometric solutions to cubic equations.
To achieve geometric solutions without using coordinates, Bolzano introduced, in 1804, certain operations on points, lines and planes, which are predecessors of vectors.
A geometric solution to this is to intersect the curve C, not with itself, but with a slightly pushed off version of itself.
Furthermore, there are also geometric solutions given to many equations.
He also found a geometric solution.