Harriot, Thomas, Mss. 6782

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[Commentary:
The top of the page shows the working out of the formula for the sum of
The proposition quoted from Maurolico is from Arithmeticorum libri duo (Maurolico 1575, Prop :
Omnis trianguli quadratus, aequalis est aggregato cuborum ab unitate usque ad cubum triangulo collateralem inclusiue sumptorum.
The square of every triangular number is equal to the sum of cubes from one, to the cube of the side of the triangular number, all taken together.)
Maurolico gives as an example 225=1+8+27+64+125.
At the bottom of the page are formulae for sums of units, lines, squares, cubes, and ]
Ad aggregata Z. C. ZZ. &
[Translation: Towards the sums of squares, cubes, square-squares, ]
Maurolico. pag.
[Translation: Maurolico page ]

omnis triangula quadratus
æqualis est aggregato cuborum
ab unitate usque ad cubum triangulo
collateralem incipio
[Translation: the square of every triangluar number is equal to the sum of cubes from one, to the cube of the corresponding triangular number taken from the beginning.
lines
lines æqually
squares æqually [???]
in their rootes. &
Vel: per
[Translation: Or: by ]

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