Mad Math...

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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  ------- 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.