Omar Khayyam · Mathematics
Omar Khayyam’s <em>Treatise on the Proofs of Problems of Algebra</em> (c. 1070): the first systematic classification of cubic equations and a geometric solution for every type, found by intersecting conic sections - together with his honest admission that a solution ‘in number’ had escaped him.
You learned that Khayyam gave the first complete classification of cubic equations and solved each type geometrically , by intersecting conic sections, proving some cubics cannot be built with ruler and compass at all - while frankly admitting that a general solution ‘in number’ eluded him. Explain his met…
Leads to Girolamo Cardano.
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