Harriot, Thomas - Mss. 6784

575288

De inclinationibus. 3.
[Translation: On neusis, proposition ]

Sit circulus

F D B

. Et punctum extra circulum

A

. oportet ducere lineam

A C

. ut

D C

sit
æqualis lineam datam

H

[Translation: Let there be a circle

F D B

, and a point

A

outside the circle. It is required to draw a line

A C

so that

D C

is equal to a given line

H

Determinatio:
Continuetur

C B

I

, ut

B I

sit æqualis

H

.
et agatur

A I

. producatur

A F

K

, ut

F K

sit etiam æqualis lineæ

H

.
oportet ut

A K

sit minor quam

A I

[Translation: Determination
Let

C B

be continued to

I

, so that

B I

is equal to

H

and construct

A I

. Extend

A F

K

, so that

F K

is also equal to the line

H

. It is necessary that

A K

is less than

A I