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Re: 29-Maximum Electricity Coil theory// Internal parts of atoms and how the chemical bond is formed

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

>29-Maximum Electricity Coil theory// Internal parts of atoms and how the 
>chemical bond is formed


>CHEM ONE, 2nd ed., Waser, Trueblood, Knobler, 1980, page 327, Figure 16-3
>Schematic Energy-Level Diagram for a Many-Electron Atom

Does it involve conic sections such as ellipses?

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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29-Maximum Electricity Coil theory// Internal parts of atoms and how the chemical bond is formed Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-05-23 22:03 -0700
  Re: 29-Maximum Electricity Coil theory// Internal parts of atoms and how the chemical bond is formed Uncle Hal <derp@hotmail.com> - 2018-05-23 23:08 -0700
    Re: 29-Maximum Electricity Coil theory// Internal parts of atoms and how the chemical bond is formed benj <benj@nobody.net> - 2018-05-24 12:04 -0400
  29-Maximum Electricity Coil theory// Internal parts of atoms and how the chemical bond is formed Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-05-24 00:24 -0700
    Re: 29-Maximum Electricity Coil theory// Internal parts of atoms and how the chemical bond is formed moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-05-25 20:20 +0000

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