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Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test

From moroney@world.std.spaamtrap.com (Michael Moroney)
Newsgroups sci.math, sci.physics
Subject Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test
Date 2018-10-06 06:00 +0000
Organization The World : www.TheWorld.com : Since 1989
Message-ID <pp9j2q$uuv$6@pcls7.std.com> (permalink)
References <5d8a8cd8-7bcb-4df7-8d3f-9d523eaafe9b@googlegroups.com> <5c9cb326-63ea-4da3-a5b1-8e3749da360c@googlegroups.com>

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Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails:

>Proofs ellipse is never a conic, always a cylinder section by
>Archimedes Plutonium

Yes, this proof that the ellipse is a conic section is cool, isn't it!


Some preliminaries:

Top view of the conic section and depiction of the coordinate system used 
in the proof:

              ^ x
              |
             -+- <= x=h
         .'   |   `.
        .     |     .
        |     |     |
        '     |     '      
         `.   |   .'
 y <----------+ <= x=0
             
Cone (side view):
                 .
                /|\
               / | \
              /b |  \
             /---+---' <= x = h
            /    |'   \
           /   ' |     \
          / '    |      \
x = 0 => '-------+-------\
        /    a   |        \

Proof:

r(x) = a - ((a-b)/h)x  and  d(x) = a - ((a+b)/h)x,  hence

y(x)^2 = r(x)^2 - d(x)^2 = ab - ab(2x/h - 1)^2 = ab(1 - 4(x - h/2)^2/h^2.

Hence (1/ab)y(x)^2 + (4/h^2)(x - h/2)^2 = 1  ...equation of an ellipse

qed

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page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-09-24 23:37 -0700
  Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-09-28 21:16 -0700
    Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-09-29 10:13 -0700
      Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-09-29 17:31 -0700
        Re: Archimedes "Total Failure" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-09-30 02:22 +0000
        Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-09-30 11:25 -0700
          Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-01 01:27 +0000
          Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-09-30 19:09 -0700
            Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-01 20:34 -0700
              Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-02 14:59 -0700
                Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-02 21:51 -0700
                Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 14:19 -0700
                Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 18:42 -0700
                Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-05 15:14 -0700
                Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-06 06:00 +0000
                Re: page1  TRUE CHEMISTRY-- 2018 textbook of Experiment-- Real Electron = 105MeV, Real Proton = 840MeV, Dirac's magnetic monopole = .5MeV , by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-06 13:57 -0700

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