Harriot, Thomas - Mss. 6787

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676339

[Commentary:

Calculations based on a general series with constant second difference

a

.
The second and first rows begin with

e

and

o

respectively.
The series 5, 8, 13, 20, ... is used as an example, thus

o = 5

e = 3

a = 2

. (A second version takes

o = 5

e = 1

a = 2

b

c

d

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

5. Differentiæ differentiarum
[Translation: Differences of differences of ]

[Translation: ]

[Translation: Another ]