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| From | moroney@world.std.spaamtrap.com (Michael Moroney) |
|---|---|
| Newsgroups | sci.math |
| Subject | Re: Archimedes "Total Failure" Plutonium flunked the Math Test of a lifetime-generation test |
| Date | 2018-08-26 21:42 +0000 |
| Organization | The World : www.TheWorld.com : Since 1989 |
| Message-ID | <plv6t1$mnn$2@pcls7.std.com> (permalink) |
| References | <b57604f4-3862-4e0d-9f96-8c6d2584ef2d@googlegroups.com> |
Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails:
Oh, you are *still* struggling with learning how the ellipse is a conic
section?
Here's the proof again!
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 Tao continues to deny ellipse is a cylinder section, never a conic Re: Terence Tao flunked the Math Test of a lifetime-generation test Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-08-17 21:28 -0700
why Terry is silent on ellipse as cylinder section never conic Re: Terence Tao flunked the Math Test of a lifetime-generation test Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-08-21 00:06 -0700
Re: Archimedes "Total Failure" Plutonium flunked the lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-08-21 15:24 +0000
Re: why Tao continues to deny ellipse is a cylinder section, never a conic Re: Terence Tao flunked the Math Test of a lifetime-generation test Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-08-25 15:08 -0700
Re: why Tao continues to deny ellipse is a cylinder section, never a conic Re: Terence Tao flunked the Math Test of a lifetime-generation test Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-08-26 14:32 -0700
Re: Archimedes "Total Failure" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-08-26 21:42 +0000
Why cannot Terry Tao admit a ellipse is never a conic, is it some denial complex he has? Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-09-10 22:58 -0700
Re: why Tao continues to deny ellipse is a cylinder section, never a conic Re: Terence Tao flunked the Math Test of a lifetime-generation test Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-08-27 21:48 -0700
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