The art of negation

Euclid in his Elements first uses his fifth postulate, the parallel postulate, to prove proposition I.29.

Exercise: negate the parallel postulate and determine the consequences for all the propositions in Elements from I.29 onwards. Hint: be sure to have have plenty of paper, ink, and patience before you start.

Another hint: take as much time as you need, think hard, and enjoy the ride, for this is a no-grade and no-credit course.

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Published in: on August 29, 2009 at 2:30 pm  Leave a Comment  

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