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| From | moroney@world.std.spaamtrap.com (Michael Moroney) |
|---|---|
| Newsgroups | sci.physics |
| Subject | Re: Archimedes "front page hog" Plutonium flunked the Math Test of a lifetime-generation test |
| Date | 2018-12-04 23:01 +0000 |
| Organization | The World : www.TheWorld.com : Since 1989 |
| Message-ID | <pu7115$7k7$1@pcls7.std.com> (permalink) |
| References | <bce863de-8aa7-4a6d-9ad2-261cff7fdd40@googlegroups.com> |
Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails:
>Subject: Re: -Why it took Math 3,000 years to understand a ellipse was never a conic section but rather a cylinder section and 330 years for a geometry proof of the Fundamental Theorem of Calculus
It's not 3,000 years old, but here's your math 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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-Why it took Math 3,000 years to understand a ellipse was never a conic section but rather a cylinder section and 330 years for a geometry proof of the Fundamental Theorem of Calculus Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-12-04 14:50 -0800
Re: Archimedes "front page hog" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-12-04 23:01 +0000
Insane kook Moroney mocking MIT, Harvard, Cornell Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-12-04 15:17 -0800
Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-12-05 07:03 +0000
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