Harriot, Thomas - Mss. 6784

8744

Ad prop. 164. lib. 7. pappi. pag.
[Translation: On problem 164, Book 7 of Pappus, page ]

Alia effectio 1. problematis Apollonius de spatij
[Translation: Another construction of the 1st problem of Apollonius on the cutting off of an ]

Exegesis.
producetur

A C

in utrasque partes
et fiat

C L

æqualis

D E

.
et

H A

æqualis

A C

.
Dividatur

H L

bisariam in puncto

I

.
quod fiat centrum et intervallo

I H

describatur periferia

H M L

. quæ secat

C D

in puncto

M

. Deinde centro

A

et intervallo

A M

, describatur periferia

K M F

F

est quæsitum
[Translation: Exegesis.
Let

A C

be extended on both sides and make

C L

equal to

D E

and

H A

equal

A C

.
Bisect

H L

in the point

I

, which makes the centre, and with radius

I H

there is drawn the circumference

H M L

, which cuts

C D

in the point

M

. Then with centre

A

and radius

A M

, there is drawn the circumference

K M F

. The point sought is

F