Harriot, Thomas - Mss. 6787

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690346

[Commentary:

Calculations on a general series with constant third difference

a

.
The third, second, and first rows begin with

e

e

y

respectively.
The series 10, 15, 23, ... is used as an example, thus

y = 10

o = 5

e = 3

a = 2

b

c

d

f

denote successive sums of terms, taken two at a time.
]

9) Differentiæ differentiarum differentiarum
[Translation: Differences of differences of differences of ]