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You are not logged in. #26 20120930 08:16:47
Re: Triangle ProblemSupposing a was large and b,c were small? I do not know if that step is rigorous enough or requires more. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #27 20120930 08:45:40
Re: Triangle ProblemYou are forgeting one thing which might be crucial. a, b and c are sides of a triangle. There is a great chance that has some other purpose than just stating that a, b and c are positive. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #28 20120930 08:56:54
Re: Triangle ProblemOne property is In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #29 20120930 09:00:59
Re: Triangle ProblemExactly what I had in mind. I will try to do the problem. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #31 20120930 19:49:38
Re: Triangle Problem
Thanks for this, I didn't think about setting c(b+a) > 0... so, would all my reasoning be mathematically sound? I agree with what you have written above  I'm wondering if a geometric solution is also possible however, since it appears that this solution doesn't take advantage of any triangle properties... #32 20120930 19:59:27
Re: Triangle Problemhi zetafunc You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #33 20120930 20:05:10
Re: Triangle Problem
How'd you get 2b<b(a+c)? It would imply that a+c>2, so one of them has to be greater than 1... The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #34 20120930 20:24:08
Re: Triangle ProblemArhh! Once more you have spotted my error. Curses. (not aimed at you of course!) You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #35 20120930 20:48:56
Re: Triangle ProblemIt's okay. For I second there I thought we finally had proof! The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #36 20121001 04:27:20
Re: Triangle ProblemHi zetafunc.;
You were on the right track when you posted that. By the triangle inequality If a>1 then (b+c) > 1 and a(b+c) >1 but bc cannot be less than or equal to 0 ( see equation 2 ) so we have a contradiction. Therefore a,b,c<1 Now put your proof all together and present it. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #37 20121002 01:29:59
Re: Triangle ProblemI see now. Thank you. #38 20121002 04:06:20
Re: Triangle ProblemHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 