Harriot, Thomas - Mss. 6787

10955

[Commentary:

Formulae for the entries in a table that has been interpolated to

n

times its original length; for full details see Harriot's 'Magisteria .
The third difference is constant,

e n n n

.
The second differences begin with

p

, the first differences begin with

p^{2}

; these are superscripts, not powers.
The differences alternately increase and decrease, as in a table of sines.
Values are calculated for

n

th,

2 n

th,

3 n

th entries using the result obtained on Add MS 6787 f. . ]