Harriot, Thomas - Mss. 6785

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625313

De resectione
[Translation: On the cutting off of a ]

Data.
Sint datæ lineæ positione

B C

B D

,
Datum punctum

A

[Translation: Given.
Let there be given lines

B C

and

B D

and a given point

A

Quæsitum.
Oportet ducere rectum per

A

punctum ad lineas

B C

B D

,
ut ratio partium, vidilicet:

G A

A H

fit ut

a

b

[Translation: Sought.
It is required to draw a line through the point

A

to the lines

B C

and

B D

so that the ratio of the parts, namely,

G A

A H

is as

a

b