Line 1:
Line 1:
I stubled across 3 false proofs, see if you can find the errors.

I stubled across 3 false proofs, see if you can find the errors.

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1~~.~~

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==# 1==

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X=Y

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* X=Y

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X^2=X*Y

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* X^2=X*Y

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X^2-Y^2=X*Y-Y^2

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* X^2-Y^2=X*Y-Y^2

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(X+Y)*(X-Y)=Y*(X-Y)

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* (X+Y)*(X-Y)=Y*(X-Y)

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X+Y=Y

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* X+Y=Y

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2Y=Y

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* 2Y=Y

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2=1

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* 2=1

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2~~.~~

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==# 2==

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X=0.99999...

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* X=0.99999...

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10X=9.99999...

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* 10X=9.99999...

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10X-X=9.99999...-X

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* 10X-X=9.99999...-X

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9X=9

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* 9X=9

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X=1

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* X=1

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0.99999...=1

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* 0.99999...=1

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3~~.~~

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==# 3==

This one is a word problem.

This one is a word problem.

Imagine a square with sides of 4, and therefore a perimiter of 16.

Imagine a square with sides of 4, and therefore a perimiter of 16.

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Cut corners, and the perimiter stays the same

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Cut corners, and the perimiter stays the same. See below for a visual.

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~~Ex.~~

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----

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_____ ___

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| | equals _| |_

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| | |_ _|

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|_____| |___|

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*HHHHHHHHHH

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*HHHHHHHHHH

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*HHHHHHHHHH

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*HHHHHHHHHH

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*HHHHHHHHHH

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*HHHHHHHHHH

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+
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The perimeter of the above shape is equal to the perimeter of the shape below.

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(_ equals negative space)

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*____HHHH____

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*____HHHH____

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*HHHHHHHHHH

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*HHHHHHHHHH

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*____HHHH____

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*____HHHH____

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----

Repeat to infinity.

Repeat to infinity.

Square becomes a circle

Square becomes a circle

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16=Pi*(2)^2

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* 16=Pi*(2)^2

Therefore, Pi equals 4

Therefore, Pi equals 4

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----

That's all folks!

That's all folks!

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~~The~~ ~~picture~~ ~~of~~ ~~the~~ ~~example~~ ~~has~~ ~~an error, if you want to see it, then go into edit mode.~~

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''~₮iger~'' :. [[User_talk:Keo5|<small>''Talk''</small>]] ''&'' [[User:Keo5|<small>''Profile''</small>]] .:

[[Category:Blog posts]]

[[Category:Blog posts]]

Latest revision as of 23:01, December 24, 2011
I stubled across 3 false proofs, see if you can find the errors.

X=Y
X^2=X*Y
X^2-Y^2=X*Y-Y^2
(X+Y)*(X-Y)=Y*(X-Y)
X+Y=Y
2Y=Y
2=1
X=0.99999...
10X=9.99999...
10X-X=9.99999...-X
9X=9
X=1
0.99999...=1
This one is a word problem.
Imagine a square with sides of 4, and therefore a perimiter of 16.
Cut corners, and the perimiter stays the same. See below for a visual.

HHHHHHHHHH
HHHHHHHHHH
HHHHHHHHHH
HHHHHHHHHH
HHHHHHHHHH
HHHHHHHHHH
The perimeter of the above shape is equal to the perimeter of the shape below.
(_ equals negative space)

____HHHH____
____HHHH____
HHHHHHHHHH
HHHHHHHHHH
____HHHH____
____HHHH____
Repeat to infinity.
Square becomes a circle

Therefore, Pi equals 4

That's all folks!

~₮iger~ :. Talk & Profile .: