Difference between revisions of "British Flag Theorem"
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Revision as of 21:34, 14 October 2007
The British flag theorem says that if a point P is chosen inside rectangle ABCD then 
.
A---w--------B | | | z---P--------x | | | | | | D---y--------C Figure 1
The theorem also applies to points outside the square, although the proof is harder to visualize in this case.
Proof
In Figure 1, by the Pythagorean theorem, we have:
Therefore:
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