The Loony Bin
(
loonies@bloodaxe.demon.co.uk
)
Thu, 22 May 1997 00:22:19 +0100
Hiya All...
Here's some curious mathematics for you...
Wishes & Dreams...
- ANDREA
xx
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*******************Internet Goddess********************
**********************ANDROMEDA************************
------- Forwarded foolishness follows -------
When 1 becomes 2
=================
Let x = y
Consider
( x^2 - y^2 ) = (x + y) (x - y)
since x = y, then we can write
( x^2 - xy) = (x + y) (x - y)
x (x - y) = (x + y) (x - y)
since (x - y) is common to both sides of the equation, then we can
cancel (x - y)
x (x - y) = (x + y) (x - y)
---------- ----------------
(x - y) (x - y)
x = (x + y)
but x = y, so
x = (x + x)
x = 2x
common factor being x, so
x = 2x
---- ------
x x
leaving us with
1 = 2
Hence, one is equal to two
==========================
When Half becomes Full
======================
Consider a 10 ml cylinder containing 5 ml of water:
1. We say that the cylinder is half-empty
2. We also say that the cylinder is half-full.
Since we pertain to the same thing, then they are the same. In Math,
we say they are equal
1/2 empty = 1/2 full
then we can factor out 1/2, giving us
1/2 empty = 1/2 full
---------- ---------
1/2 1/2
leaving us with
empty = full
Hence, empty is also equal to full
===================================================================
PS.
Don't ever mention the university where I am studying or else all
my professors will flunk me in all my courses.
My apology to Pythagurus, and all mathematicians.