Re: 8-teaching Logic in Grade School, TEACHING TRUE MATHEMATICS

From	moroney@world.std.spaamtrap.com (Michael Moroney)
Newsgroups	sci.math, sci.physics
Subject	Re: 8-teaching Logic in Grade School, TEACHING TRUE MATHEMATICS
Date	2018-05-25 20:29 +0000
Organization	The World : www.TheWorld.com : Since 1989
Message-ID	<pe9ro5$9rm$4@pcls7.std.com> (permalink)
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Archimedes Plutonium <plutonium.archimedes@gmail.com> writes:


>#3-9  Many examples and exercises in using Algebraic Logic // Teaching 
>True Mathematics

>These last two lessons are going to be long lessons

Here is some True Mathematics which will probably become long lessons:

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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Is it Faraday's Law or New Ohm's law that puts mass into Faraday's coil and puts mass in Faraday's bar magnet? 24&25 Maximum Electricity Coil theory Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-05-23 11:37 -0700
  Re: Univ of Western Ontario, a failed university with teachers like Dan Christensen attack dogs in sci.math, failures failures failures moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-05-24 00:36 +0000
  8-Maximum Electric Coil theory-- how inside of atoms works //teaching Logic in Grade School, TEACHING TRUE MATHEMATICS/ Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-05-23 19:31 -0700
    Re: 8-teaching Logic in Grade School, TEACHING TRUE MATHEMATICS moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-05-25 20:29 +0000

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