2ab + (b-a)² = c²
Elements:

The area of any rectangle . . .

Is half of
the sum of the squares of the two sides
subtract the square of the difference between the two sides.

Is this just a tautology or is there something interesting here?

(The square of any right angled triangle will be half this again).

Which is the same as these:

n.b. In these I had given (b-a) the value of d and (c-b) the value of e

n.b. the "square of the difference", the element which is being removed here, is what was required for "completing the square"

 


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Previously published:

All 28 blog entries

Here are some of the ideas that I have been exploring.

Please let me know if there's anything you want to correct/find interesting/would like a copy of - or to purchase/participate in etc.

 Philip James GuestLos Angeles, CA310.383.2327

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