Harriot, Thomas, Mss. 6782

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638319
[Commentary:
An examination of the equation aaa-6aa+12a=8, which has roots 2, 2, 2. This is one of several equations with multiple roots treated by Viète in De potestatum numerosa resolutione (Viète . Harriot solved it in full on Add MS 6783 f. , and refers to it again in Add MS 6783 f. . ]
Triens coeff: long: b
[Translation: A third of the longitudinal ]

Triplum quadrat: 3bb=3bb coeff.
[Translation: Three times the square is 3bb, the plane coefficient.
Duplus cubus e triente. 2bbb
[Translation: Twice the cube of the ]

b
in coeff:
[Translation: b times the plane coefficient

Tria latera
[Translation: Therefore the three sides ]

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