Harriot, Thomas, Mss. 6785

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[Commentary:
On this page Harriot examines Proposition V from Supplementum geometriæ (Viète 1593c, Prop . See also Add MS 6785, 134.
Propositio V.
Datis duabus lineis rectis, invenire inter easdem duas medias continue,

Given two straight lines, to find two mean proportionals between ]
In 5am Supplementi. De medias proportionales inter
[Translation: From the 5th proposition of the Supplement. On two mean proportionals between given ]
per constructione
[…]
lineæ extreiores
lineæ interiores
Ergo per 4am prop IK. HB. HI. BC. continuæ
[Translation: by construction

external lines
internal lines
Therefore by the 4th proposition, IK, HB, HI, BC are continued proportionals.

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