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wu :: forums    riddles    general problem-solving / chatting / whatever (Moderators: william wu, Icarus, towr, Grimbal, SMQ, ThudnBlunder, Eigenray)    First to show pi is irrational « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: First to show pi is irrational  (Read 1174 times) kbob Guest First to show pi is irrational   « on: Aug 25th, 2005, 11:06am » Quote Modify Remove Who was the first mathematician to show that pi is irrational? IP Logged JocK Uberpuzzler     Gender: Posts: 877 Re: First to show pi is irrational   « Reply #1 on: Aug 25th, 2005, 11:41am » Quote Modify J.H. Lambert (in 1768)   (Lambert proved that if x is rational then tan(x) must be irrational. It follows that pi/4 (and hence pi) must be irrational. Later - in 1794 - Legendre found another proof that also established the irrationality of pi2. Following Lambert's proof, it took more than a century (till 1882) before Von Lindemann succeeded to prove that pi is a transcendental number ) « Last Edit: Aug 25th, 2005, 12:05pm by JocK » IP Logged solving abstract problems is like sex: it may occasionally have some practical use, but that is not why we do it. xy - y = x5 - y4 - y3 = 20; x>0, y>0. Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ => general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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