Harriot, Thomas - Mss. 6782

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.
[…]

= a t = a c

. Rationalis
[Translation: Rational in ]

d c

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

d b

Rationalis
[Translation: The supposed ]

d f

Binomia 5a, 1o
[Translation: A fifth ]
Erit etiam […]

a f

. Binomia 4a
[Translation: There will also be a fourth binome

c b

. Apotome 4a
[Translation: a fourth ]

c e

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

b e

.
[Translation: ]

a e

.
[Translation: ]

e f

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

511 (256)	512 (256v)
513 (257)	514 (257v)
515 (258)	516 (258v)
517 (259)	518 (259v)
519 (260)	520 (260v)

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