Harriot, Thomas, Mss. 6782

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543272
Data secundum trium proportionalium: invenire primam et tertiam,
ut illarum differentia sit æqualis bis secundæ
[Translation: Given the second of three proportionals: find the first and third so that their difference is equal to twice the given second.
Sit: e prima, b, secunda.
ut illarum differentia sit æqualis bis secundæ
[Translation: Let e be the first, b the second, such that their difference is equal to twice the given second.

[…]
=at=ac. Rationalis
[Translation: Rational in ]

dc Apotome 5ta, 1o
[Translation: A fifth ]

db Rationalis
[Translation: The supposed ]

df Binomia 5a, 1o
[Translation: A fifth ]

Erit etiam […] af. Binomia 4a
[Translation: There will also be a fourth binome

cb. Apotome 4a
[Translation: a fourth ]

ce. cum rationalium medium totum efficiens 1o
[Translation: with the rational, making the mean of ]

be.
[Translation: ]

ae.
[Translation: ]

ef. Rationale et medium potens. 1o
[Translation: A power of the rational and the ]

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