Harriot, Thomas, Mss. 6782

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861
861 (430v)
862
862 (431)
863
863 (431v)
864
864 (432)
865
865 (432v)
866
866 (433)
867
867 (433v)
868
868 (434)
869
869 (434v)
870
870 (435)
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631315v
[Commentary:
An examination of the equation aaa-12aa+29a=18, which has roots 1, 2, 9. This is one of several equations with multiple roots treated by Viète in De numerosa potestatum resolutione. Harriot solved it in full on Add MS 6783 f. . ]
Triens coefficientis longituidnis. b+d
[Translation: A third of the longitudinal ]

Triplum quadratum. 3bb+6bd+3dd
[Translation: Three times the ]

maius est coefficientibus planis
per 3dd+9dc+9cc
[Translation: greater than the plane coefficient ]
Duplus cubus e triente. b+d
[Translation: Twice the cube of a third of b+d


[Translation: greater ]

b+d
in coefficientibus
[Translation: b+d times the plane coefficient
Excessus maximi laterus supra b+d fit e
[Translation: The excess of the greatest side over b+d is e

reliqua duo sunt minora b+d
[Translation: the two remaining are less than b+d

maxium latus

[Translation: the greatest side will ]
Examinatio. Vide Charta
[Translation: Examination. See sheet ]
[Commentary: Sheet B is Add MS f. .

e in
coefficientia

[Translation: e times the plane coefficient


[Translation: ]
Nota. Vide K in
[Translation: Note. See K in ]
[Commentary: Sheet D.1 is Add MS f. .

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