Omar Khayyam · Mathematics
In his <em>Commentary on the Difficulties in the Postulates of Euclid</em> (1077), Khayyam tried to prove Euclid’s troublesome fifth postulate. Studying a special quadrilateral - now called the Khayyam-Saccheri quadrilateral - he proved the first theorems that, centuries later, would open the door to non-Euclidean geometry.
You learned that Khayyam tried to prove Euclid’s fifth (parallel) postulate from the others, using what is now called the Khayyam-Saccheri quadrilateral, and considered three cases for its summit angles - right, obtuse, and acute. Explain his approach and why his rejection of the acute and obtuse cases unknowing…
Leads to Girolamo Saccheri.
Begin this lesson →epoché — a humanities education that remembers you.