(One intermediate revision by one user not shown)
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.

−
1~~.~~

+
==# 1==

−
X=Y

+
* X=Y

−
X^2=X*Y

+
* X^2=X*Y

−
X^2-Y^2=X*Y-Y^2

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

−
(X+Y)*(X-Y)=Y*(X-Y)

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

−
X+Y=Y

+
* X+Y=Y

−
2Y=Y

+
* 2Y=Y

−
2=1

+
* 2=1

−
2~~.~~

+
==# 2==

−
X=0.99999...

+
* X=0.99999...

−
10X=9.99999...

+
* 10X=9.99999...

−
10X-X=9.99999...-X

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

−
9X=9

+
* 9X=9

−
X=1

+
* X=1

−
0.99999...=1

+
* 0.99999...=1

−
3~~.~~

+
==# 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.

−
Cut corners, and the perimiter stays the same

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

−
~~Ex.~~

+
----

−
_____ ___

−
| | equals _| |_

−
| | |_ _|

−
|_____| |___|

+
*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.

Repeat to infinity.

Square becomes a circle

Square becomes a circle

−
16=Pi*(2)^2

+
* 16=Pi*(2)^2

Therefore, Pi equals 4

Therefore, Pi equals 4

−

+
----

That's all folks!

That's all folks!

−

+
''~₮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 .: