Harriot, Thomas - Mss. 6787

< >

< >

805403v

[Commentary:

For the edition of Apollonius used by Harriot see (Apollonius . ]

Lemma ad Ellipsin.pag. 40. Appol. prop. 54. lib.
[Translation: Lemma on the ellipse, Apollonius, page 40, Book I, Proposition ]

Data.
Circulus

a b c

.
Diameter,

a c

.
Linea,

a b

[Translation: Given.
Circle

a b c

.
Diameter

a c

.
Line

a b

Ratio
[Translation: Given ]

Quæsitum:
Invenire punctum

o

, vel

r

ut linea (

o r

) sit parabola, (

a b

)
et
[Translation: Sought.
To find the point

o

r

so that the line (

o r

) is a parabola (

a b

), and that: