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| From | moroney@world.std.spaamtrap.com (Michael Moroney) |
|---|---|
| Newsgroups | sci.physics, sci.math |
| Subject | Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test |
| Date | 2018-11-01 02:44 +0000 |
| Organization | The World : www.TheWorld.com : Since 1989 |
| Message-ID | <prdp9p$o8q$1@pcls7.std.com> (permalink) |
| References | (1 earlier) <62a4d8cb-ba90-422a-acb2-d0260e9bed56@googlegroups.com> <p4rain$4v3$1@pcls7.std.com> <833d2094-d57f-4d52-a23e-d1fc07f4d242@googlegroups.com> <fdb86ff7-e8af-47b7-b3a0-b573b987b22f@googlegroups.com> <cb1f1efc-2206-4a57-95c1-66118939c8c1@googlegroups.com> |
Cross-posted to 2 groups.
Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails:
>That is an interesting question would Dr Witten fail math also in
>thinking the ellipse is a conic for sure know the John Baez bozo failed
>physics angular momentum with his degenerate electron=.5MeV and his
>ellipse=conic
>But is there any hope for Witten or is he a little league science player
What, you want to show Dr Witten this excellent proof that the ellipse
is a conic section?
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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+Chapter 2// 8 &9 year olds// division then decimals TEACHING TRUE MATHEMATICS, 2018, by Archimedes Plutonium Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-29 16:11 -0700 Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-11-01 02:44 +0000
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