Harriot, Thomas - Mss. 6784

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481 (241)	482 (241v)
483 (242)	484 (242v)
485 (243)	486 (243v)
487 (244)	488 (244v)
489 (245)	490 (245v)

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[Commentary:

Square roots of binomes of the fifth and sixth kind by the general rule derived in Add MS 6788 f. (and elsewhere). Here Harriot works with two types of fifth binome, (

\sqrt{b b + c c} + b

and

\sqrt{b b + c d} + b

), according to whether the difference between the squares of the two terms is a square or not. Elsewhere he refers to these as bin.

5 "

and bin.

5

.
Similarly he distinguishes two types of sixth (

\sqrt{b c + d d} + \sqrt{b c} b

and

\sqrt{b c + d f} + \sqrt{b c}

). Elsewhere he refers to these as bin.

6 "

and bin.

6

.
In all cases the roots are ]

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