Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]

Groups > sci.math > #430977

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

Show all headers | View raw

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

>Subject: Re: You say you want to master physics? Well, you have to master the ellipse first!!

> I keep harping back to the idea-- to master physics you need to master Angular
> Momentum, and to master Angular Momentum you need to master the Ellipse
> in every aspect of the ellipse.

And one of the interesting things about the ellipse is how it is a conic
section, although at first glance it appears it can't be. An excellent
proof that the ellipse is a conic section is the Dandelin Spheres proof.
Another excellent proof follows:


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

Back to sci.math | Previous | Next — Previous in thread | Next in thread | Find similar | Unroll thread

Thread

AP's thoughts as of 6JAN2019//radioactivity wholescale revision//directrix of ellipse Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-06 14:21 -0800
  universal ellipse percentage formulas Re: AP's thoughts as of 6JAN2019//radioactivity wholescale revision//directrix of ellipse Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-06 14:45 -0800
    my first universal ellipse percentage formula, Square area = 30% Directrix area Re: AP's thoughts as of 6JAN2019//radioactivity wholescale revision//directrix of ellipse Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-06 17:23 -0800
      safe to say that the Internal Square perimeter of the Ellipse is 50% of the Directrix Rectangle perimeter, for all Ellipses Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-06 17:34 -0800
        You say you want to master physics? Well, you have to master the ellipse first!! Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-06 17:59 -0800
          Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2019-01-07 02:21 +0000
          .0072 a correction factor? Re: You say you want to master physics? Well, you have to master the ellipse first!! Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-06 19:58 -0800
            .007299 an angle issue ?Re: .007299 a correction factor? Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-06 22:20 -0800
              old post of mine in 2015 on 1/137 Re: .007299 an angle issue ?Re: .007299 a correction factor? Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-06 22:25 -0800
                Heath Brown Moroz constant Re: old post of mine in 2015 on 1/137 Re: .007299 an angle issue ?Re: .007299 a correction factor? Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-07 00:04 -0800
                Heath Brown Moroz constant Re: old post of mine in 2015 on 1/137 Re: .007299 an angle issue ?Re: .007299 a correction factor? Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-07 00:19 -0800
                .00131 and .007299 Re: Heath Brown Moroz constant Re: old post of mine in 2015 on 1/137 Re: .007299 an angle issue ?Re: .007299 a correction factor? Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-07 00:45 -0800
                Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2019-01-07 14:21 +0000
                Re: .00131 and .007299 Re: AP moves on from word salad to number salad. alouatta.coibensis@gmail.com - 2019-01-07 08:15 -0800
  Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2019-01-07 00:01 +0000

csiph-web