Geometric solution of cubic equations
Solución geométrica de las ecuaciones cúbicas
- Date
- c. 1070 · confidence medium
- Place
- Samarkand and Isfahan, Persia
- Credited to
- Omar Khayyam
- People
- 👤 Omar Jayam1048–1131
- Field
- Knowledge & symbols
What was discovered
A classification of cubic equations and a solution of each type by intersecting conics, together with an analysis of the parallel postulate. The first general theory of the third-degree equation.
Khayyam intuited that cubics required more than straightedge and compass, but he did not obtain the algebraic formula.
What it led to
- Cardano's formula
- analytic geometry
- Saccheri quadrilaterals
Built on
- Al-Khwarizmi algebrac. 820
- Apollonius's conics
Made possible
- Jalali calendar1079
- Jalali calendar