Harriot, Thomas, Mss. 6782

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2714
Here Harriot devises a method of squaring .99999999997755 by treating it 1.00000000000000-0.00000000010000+0.00000000007755.
After carrying out the first calculation in full, he sees that he can shorten the method by neglecting very small terms. He also sees another short cut by letting f=c-d.
He continues squaring until he reaches .99999999856320.
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