Harriot, Thomas, Mss. 6782

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731
731 (365v)
732
732 (366)
733
733 (366v)
734
734 (367)
735
735 (367v)
736
736 (368)
737
737 (368v)
738
738 (369)
739
739 (369v)
740
740 (370)
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page |< < (315v) of 1011 > >|
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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