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5 Cards in this Set

  • Front
  • Back

Ptolemy

(2nd century Egypt)


assumed Playfair's Axiom

Saccheri

(1667-1733)


Italy



Tried to use proof by contradiction with a saccheri quadrilateral (unsuccessful)

Lambert

(1728-1777)


Switzerland



tried to us proof with a lambert quadrilateral (unsuccessful)


Legendre

(1752-1833)


tried to prove the angle sum of a triangle is equal to 180.


proved it is less than 180

Omar Khayyam

(11th century)


Persia


(islamic)



Used saccheri quadrilateral (before it was named); assumed lines that converge eventually intersect.