Harriot, Thomas - Mss. 6782

Harriot, Thomas, Mss. 6782

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Scan	Original
11	6
12	6v
13	7
14	7v
15	8
16	8v
17	9
18	9v
19	10
20	10v
21	11
22	11v
23	12
24	12v
25	13
26	13v
27	14
28	14v
29	15
30	15v
31	16
32	16v
33	17
34	17v
35	18
36	18v
37	19
38	19v
39	20
40	20v

137

This is the first of several pages of calculations of what are essentially fractional powers of 10. Harriot used large integers to avoid fractional parts, but the calculation at the top of the page may be interpreted as

\sqrt{10} = 10^{\frac{1}{2}} = 3.1622 . . .

. The calculation in the lower half of the page may be interpreted as

\sqrt{10 \times \sqrt{10}} = 10^{\frac{3}{4}} = 5.6234 . . .

. ]

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