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Re: called Double Gyres Re: New Chemistry Table-- two superimposed cones

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Archimedes Plutonium <plutonium.archimedes@gmail.com> writes:

[nothing]

>Michael Moroney        wrote
>4:46 PM (2 hours ago)

>>Oh, so you finally have a [proof the ellipse is not a conic section?]

Archie posted that snippet yet again, even though it's a week old now.
At least 10 times in (at least) two groups. Guess it must really bug
him that he still has no proof the ellipse is not a conic section.

It continues to amuse me how kooks do something totally illogical, and
then do it over and over again.  Like how Archie quotes a contextless
snippet of what I wrote, to the wrong topic, and frequently in the wrong
group, and says nothing about it himself. And he keeps doing that.

Why?  Dementia? Autism? Senility? OCD? Schizophrenia?

Or maybe he just wants to see this proof that the ellipse can be a conic
section again.


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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New Chemistry Table-- two superimposed cones Re: AP's Periodic Table of Atoms in light of the fact Real Proton= 840MeV, Real Electron= 105MeV, the .5MeV= monopole Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-03-09 13:50 -0800
  New Chemistry Table-- two superimposed cones Re: AP's Periodic Table of Atoms in light of the fact Real Proton= 840MeV, Real Electron= 105MeV, the .5MeV= monopole Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-03-09 14:03 -0800
    New Chemistry Table-- two superimposed cones Re: AP's Periodic Table of Atoms in light of the fact Real Proton= 840MeV, Real Electron= 105MeV, the .5MeV= monopole Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-03-09 14:18 -0800
      New Chemistry Table-- two superimposed cones Re: AP's Periodic Table of Atoms in light of the fact Real Proton= 840MeV, Real Electron= 105MeV, the .5MeV= monopole Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-03-09 17:26 -0800
        called Double Gyres Re: New Chemistry Table-- two superimposed cones Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-03-09 17:40 -0800
          Re: called Double Gyres Re: New Chemistry Table-- two superimposed cones Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-03-09 17:55 -0800
            Re: called Double Gyres Re: New Chemistry Table-- two superimposed cones moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-03-10 22:46 +0000
              Re: called Double Gyres Re: New Chemistry Table-- two superimposed cones moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-03-18 05:01 +0000
            Re: called Double Gyres Re: New Chemistry Table-- two superimposed cones Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-03-10 17:34 -0800

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