Harriot, Thomas, Mss. 6784

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721
721 (361)
722
722 (361v)
723
723 (362)
724
724 (362v)
725
725 (363)
726
726 (363v)
727
727 (364)
728
728 (364v)
729
729 (365)
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730 (365v)
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[Commentary:
Here Harriot demonstrates that multiplication by 9 increases the number of digits by one as far as the 21st power but not at the 22nd power. Thus the number of digits alone is no guide to the size of the ]
An induction to prove that
to pricke the second figure for
the extraction of square rootes
& the third for cubes & 4th
for biquadrates etc. according
to the nomber of figures that
the greatest figure 9 doth
produce is no
for we
may see how it breaketh in
the 22th proportionall dignity & so
but the true case
of such pricking appeareth
out of the speciosa genesis which
is in an other paper

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