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From: kvahunt on 8 Sep 2009 12:35 On Sep 7, 6:23 pm, JSH <jst...(a)gmail.com> wrote: > To understand that there really is something wrong here, you need only > reflect back now on a rather simple mathematical result that has been > known for centuries: > > Given x^2 - Dy^2 = 1, in rationals: > > y = 2t/(D - t^2) > > and > > x = (D + t^2)/(D - t^2) > > and you get hyperbolas with D>0, the circle with D=-1, and ellipses > in > general with D<0. > > You can see the D=-1 case from a well-known mainstream source at the > following link: > See:http://mathworld.wolfram.com/Circle.htmleqns. 16 & 17 > > That allows you to, say, graph ellipses or hyperbolas adjusting a > single D number which is related of course to eccentricity. > > That has been known for CENTURIES. > > One would think that would be an undramatic thing, but the posting > assaults against me when I noted the result and questioned why it's > not more well-known should give you a clue. > > These people killed an entire math journal. See: http://www.emis.de/journals/SWJPAM/ > > If you think it's rational to just say I'm some crackpot, and I can > show you my re-discovery of a nifty little result known for centuries-- > except mathematicians look at "Pell's Equation" as a Diophantine > equation so classified away from rational solutions--and know about a > DEAD math journal killed in a spectacular way, then you cannot escape > my assessment that your brain is screwed up. > > Math journals don't just die. And physics people don't just ignore > nifty little simple equations that can draw ellipses and hyperbolas > where you just fiddle with one D number versus eccentricity, if their > brains are working properly. > > Try to think through the special circuitry that gets you to do dumb > things. > > It is the same circuitry that requires human misery, war and strife-- > for the good of the species. > > Our species can now do better. Try to transcend your programming. It > may be the biggest intellectual challenge most of you will ever face > in your lives--understanding that your own brain is tricking you, for > the good of your species. > > James Harris If you want to see real math: http://blag.xkcd.com/2009/09/02/urinal-protocol-vulnerability/ kvah |