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

From moroney@world.std.spaamtrap.com (Michael Moroney)
Newsgroups sci.math, sci.physics
Subject Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test
Date 2018-10-07 03:31 +0000
Organization The World : www.TheWorld.com : Since 1989
Message-ID <ppbumh$lms$6@pcls7.std.com> (permalink)
References <2f5f7f15-4e8c-4d8d-81a3-bcac1ed86bc2@googlegroups.com> <45801449-7131-4021-9923-4a1393a41f46@googlegroups.com>

Cross-posted to 2 groups.

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

>Proofs ellipse is never a conic, always a cylinder section by
>Archimedes Plutonium
>--------------------
>AP's proof the ellipse is never a Conic Section, always a Cylinder 
>section, and how the proof works


You need to see Franz's proof yet again?  You should save his proof on
your computer so you can look at it at any time without asking me to post
it for you again each time!


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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Thread

4.3- nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-09-30 23:31 -0700
  Re: 4.3- nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-01 00:02 -0700
    research taken a new turn-- Heavily Dense Composites predicting future primes//nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-01 15:31 -0700
    stuck on 67// nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-01 23:45 -0700
      forced primes Re: stuck on 67// nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-02 23:57 -0700
        Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 00:36 -0700
          Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 00:44 -0700
            Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:02 -0700
              Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:27 -0700
                Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:34 -0700
                Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:41 -0700
                Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:51 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 02:04 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 02:11 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 02:24 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 02:31 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 05:06 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 10:17 -0700
                Formats to eliminate odd composites 9+6N // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 10:41 -0700
                still think it all hinges on 2*a*b Re: Formats to eliminate odd composites 9+6N // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 14:11 -0700
                summary at this point-- good-- but all depends on differentiation // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 15:24 -0700
                the fingerprint of being prime // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 19:16 -0700
                One of AP's most beautiful proofs to date-- the entire Pattern of Primes Re: the fingerprint of being prime // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 23:32 -0700
                Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 03:31 +0000
                Re: One of AP's most beautiful proofs to date-- and a waste. eastside.erik@gmail.com - 2018-10-06 21:31 -0700
                Re: One of AP's most beautiful proofs to date-- and a waste. James Waldby <not@valid.invalid> - 2018-10-08 04:32 +0000
                Re: One of AP's most beautiful proofs to date-- and a waste. Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 21:59 -0700
                concept of prime should include concept of coprime Re: One of AP's most beautiful proofs to date-- Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 22:35 -0700
                Re: concept of prime should include concept of coprime Re: One of AP's most beautiful proofs to date-- Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 22:41 -0700
                Re: One of AP's most beautiful proofs to date-- the entire Pattern of Primes Re: the fingerprint of being prime // AP wants to do one better on Ulam's Prime Spiral qbwrfmlx@gmail.com - 2018-10-06 22:40 -0700
                bean counter gives a test Re: One of AP's most beautiful proofs to date-- the entire Pattern of Primes Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 22:28 -0700
                Re: bean counter gives a test Re: One of AP's most beautiful proofs to date-- the entire Pattern of Primes qbwrfmlx@gmail.com - 2018-10-07 22:43 -0700
                Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-08 13:58 +0000
                AP's tool to determine if prime or composite-- Odd Rectangles Re: the fingerprint of being prime // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-08 14:12 -0700
                Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-09 06:58 +0000

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