Harriot, Thomas - Mss. 6782

Harriot, Thomas, Mss. 6782

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507254

[Commentary:

The table at the top of the page shows the polynomial

1 C + 1 z + 1 r

(in modern notation

x^{3} + x^{2} + 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 three further tables for

1 C + 2 z + 3 r

(

x^{3} + 2 x^{2} + 3 x

1 C + 3 z + 2 r

(

x^{3} + 3 x^{2} + 2 x

), and

1 C + 4 z + 5 r

(

x^{3} + 4 x^{2} + 5 x

). ]