Harriot, Thomas - Mss. 6784

231116

cd.1.) De determinata
[Translation: On a determinate ]

fiat:

u q = i p

.
[…]
fiat periferia

i b z

[…]
si secet in

b

d

.
[…]
dico quod:

i a

i α

: quæsitæ.
si tangat: erit,

i a = p c

z q

est
[Translation: make

u q = i p

.

make the circumference

i b z

if it cuts in

b

d

.

I say that:

i a

i α

are the lines sought.
If it touches, then

i a = p c

, and

z q

is the maximum.

cd.1)

fiat:

p z = z

.
[…]
fiat periferia

r b p

[…]
si secet in

d

b

.
[…]
dico quod:

p a

p e

: quæsitæ.
si tangat: erit,

p a = p c

p z

, erit
[Translation: make

p z = z

.

make the circumference

r b p

if it cuts in

d

b

.

I say that:

p a

p e

are the lines sought.
If it touches, then

p a = p c

, and

p z

will be the maximum.

fiat:

u r = i u

.
[…]
fiat periferia,

t b u

[…]
si secet in

b

d

.
[…]
dico quod:

u u

u e

: quæsitæ.
si tangat: erit,

a u = u c

et,

u z

, erit
[Translation: make

u r = i u

.

make the circumference

t b u

if it cuts in

b

d

.

I say that:

u u

u e

are the lines sought.
If it touches, then

a u = u c

, and

u z

will be the maximum.