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1:50 am

Some believe that the bite from a sheep makes people angry whilst the wolf bite is a mere cost of doing business.  Perhaps this is true because the wolf bites everybody and now here we have somebody who happened to land on the bad side of a sheep on top of everything else. Would piss anybody off. That is, the wolf bitten person, has been wolf bitten since time immemorial and will be forever more, and now here’s a sheep come along to finish the job. The last straw, as it were.

Even so, I disagree that the sheep bite would stand as something greater than the wolf bite, even if it is two bites to the one. The effect is equal on either side, a bite from a wolf equals a bite from a wolf plus a bite from a sheep no matter what rumpus is kicked up on the sheep end of things. Here, I’ll prove it:

Let wb = wolf bite and let sb = sheep bite.

My theorem: wb = wb + sb

Proof:

(wb + sb)² = wb² + 2wb + sb

Bring 2wb + sb to the left:

(wb + sb)² – (2wb + sb) = wb²

Subtract wb(2wb + sb) from both sides and factoring:

(wb + sb)² – (wb + sb)(2wb + sb) = wb² – wb(2wb + sb)

Add ¼(2wb + sb)² to both sides:

(wb + sb)² – (wb + sb)(2wb + sb) + ¼(2wb + sb)² = wb² – wb(2wb + sb) + ¼(2wb + sb)²

or:

[(wb + sb) – ½ (2wb + sb)]² = [wb – ½(2wb + sb)]²

And taking the square roots of both sides as one would quite naturally:

(wb + sb) – ½(2wb + sb) = wb – ½(2wb + sb)

Add ½(2wb + sb) to both sides and find wolf bite plus sheep bite equals wolf bite alone, or wb + sb = wb.  A bite is a bite and no more quad erat demonstrandum. With apologies to the sheep, for who can blame the sheep for wanting a bite?