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Hard hat area, construction in progress*
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*Logic
— the Art of Reasoning*

*Mathematics
— the Art of Studying Patterns Using Logic*
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**Addition's Commutative Property,**

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**Here Is an Exception**

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Is the Commutative property
of addition always true?

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In other word, is

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always true?

__Here is an exception__:

**How about the graphic
example below. In it, ***a*
and *b*
are not simple numbers. Each of them is a 90 degree rotation and the addition
operation is the result of two such rotations, the second of which must
not be in the same plane as the first.

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As you see, in the graphic
example above, the result of adding up these two 90 degree turns (rotations)
is not the same. In other words,

**(if you are not familiar
with th symbol ***!=*,
it means *not equal*.)

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© 1993-2005 Ten Ninety, All Rights Reserved

Last Update: Nov. 26, 2005