Harriot, Thomas - Mss. 6782

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491246

[Commentary:

The table at the top of the page shows the polynomial

1 C + 1 r

(in modern notation

x^{3} + x

) evaluated for

r = 1, 2, 3, 4, 5 .

To the right are columns of successive differences as far as the constant difference 6. ]

Below that are two further tables, for

1 C + 2 r

(

x^{3} + x

) and

1 C + 3 r

(

x^{3} + x

). The last one is extrapolated upwards to include values for

r = 0, - 1, - 2

. ]

At the bottom of the page are formulae for the

n

th entries columns 0 to 4 of a table generated from a constant difference

e

in column 0. ]