660330
[Commentary:
This page is a continuation of Add MS
f. .
Note 3 gives the triangular numbers in general algebraic , , , .
On the right these formula are given labels that in modern subscript notation would , , , 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In the fourth notation, in the lower half of the p has been replaced by v, and the terms have been multiplied out to give a one-line expression (or in Harriot's terms, an equation) instead of a fraction.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. ). ]
Note 3 gives the triangular numbers in general algebraic , , , .
On the right these formula are given labels that in modern subscript notation would , , , 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In the fourth notation, in the lower half of the p has been replaced by v, and the terms have been multiplied out to give a one-line expression (or in Harriot's terms, an equation) instead of a fraction.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 ]
triangularium
in notis
[Translation: 3. General notation for triangular numbers in general ]
Melius ad continuam
additionem
[Translation: Better for continual addition of triangular ]
additionem
[Translation: Better for continual addition of triangular ]
4. Quarta notatio
per
[Translation: 4. Fourth notation, by means of ]
per
[Translation: 4. Fourth notation, by means of ]