Harriot, Thomas, Mss. 6782

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501
501 (251)
502
502 (251v)
503
503 (252)
504
504 (252v)
505
505 (253)
506
506 (253v)
507
507 (254)
508
508 (254v)
509
509 (255)
510
510 (255v)
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660330
[Commentary:
This page is a continuation of Add MS f. .
Note 3 gives the triangular numbers in general algebraic n1, n(n+1)1×2, n(n+1)(n+2)1×2×3, n(n+1)(n+2)(n+3)1×2×3×4.
On the right these formula are given labels that in modern subscript notation would p1, p2, p3, and so on.
In the fourth notation, in the lower half of the p has been replaced by v, and the terms have been multiplied out to give a one-line expression (or in Harriot's terms, an equation) instead of a fraction.
See also page 1 of the 'Magisteria' (Add MS f. ).
]
3. Generalis notatio
triangularium
in notis
[Translation: 3. General notation for triangular numbers in general ]
Melius ad continuam
additionem
[Translation: Better for continual addition of triangular ]
4. Quarta notatio
per
[Translation: 4. Fourth notation, by means of ]

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