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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.physics, sci.math
Subject Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test
Date 2018-12-13 03:39 +0000
Organization The World : www.TheWorld.com : Since 1989
Message-ID <pusk98$sgu$8@pcls7.std.com> (permalink)
References <52e3ab05-df40-49ad-b602-13d6e5c0eda1@googlegroups.com> <54a56e75-4b6d-4507-81b7-40e7317d7312@googlegroups.com>

Cross-posted to 2 groups.

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

>why it took 3,000 years for mathematics to discover infinity-finite requires
>a borderline between them, yet puzzlingly, took 3,006 years to discover
>the ellipse was never a conic section

Wow! Another request for the ellipse proof!


Below you will find a simple *proof* that shows that certain conic 
sections are ellipses.

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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Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-12-06 22:32 -0800
  Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon "reber G=emc^2" <herbertglazier0@gmail.com> - 2018-12-07 10:36 -0800
    Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon "hanson" <hanson@quick.net> - 2018-12-07 10:54 -0800
    Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon benj <benj.fake@gmail.com> - 2018-12-07 18:29 -0500
      Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon "reber G=emc^2" <herbertglazier0@gmail.com> - 2018-12-07 17:51 -0800
        Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon "hanson" <hanson@quick.net> - 2018-12-07 18:54 -0800
        Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon benj <benj.fake@gmail.com> - 2018-12-08 12:02 -0500
          Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon "reber G=emc^2" <herbertglazier0@gmail.com> - 2018-12-08 14:05 -0800
            Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon "hanson" <hanson@quick.net> - 2018-12-08 21:03 -0800
            Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon benj <benj.fake@gmail.com> - 2018-12-09 02:41 -0500
              Re: Why does Israel steal so much science? Porat stealing Lord Kelvin, &Tait's circlon "reber G=emc^2" <herbertglazier0@gmail.com> - 2018-12-10 17:13 -0800
  Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-12-13 03:39 +0000

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