What is the first known instance of a mathematician parameterizing rational points on the unit circle by the slopes of rational lines going through a rational point on the circle?
History of the study of rational points on the circle
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number-theory
elementary-number-theory
math-history
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2Weil writes in his book on the history of number theory that Fermat scoffed at British mathematicians for giving all solutions of Pell's equation in rational numbers, when he wanted all integer solutions. He essentially wrote that even the lowest type of mathematician could find all rational solutions to Pell's equation, so the rational parametrization of conics went back at least to Fermat. – 2012-10-10
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0Thanks KCd. I wonder if the Greeks knew it... – 2012-10-10