497249
[Commentary:
The problem pursued in this and many other folios in Add MS 6784 is that of 'inclination' or 'neusis',
as set out in Pappus, Mathematicae collectiones
(Pappus , Book 7. For a statement of the problem see Add MS 6784
f. . ]
1.) De
[Translation: On ]
[Translation: On ]
Ducere lineam
ut sit:
[Translation: To draw a line so that .
ut sit:
[Translation: To draw a line so that .
Desideratur
apud Alhazen
pag. 140.
et aliud. 136. pag.
Solvitur
in [???]
4
[Translation: Needed in Alhazen page 140 and also page 136.
Solved in [???] 4 sheets. ]
apud Alhazen
pag. 140.
et aliud. 136. pag.
Solvitur
in [???]
4
[Translation: Needed in Alhazen page 140 and also page 136.
Solved in [???] 4 sheets. ]
Modus solvendi hoc problema
maxime adcommodus est
per elementa
[Translation: The most convenient method of solving this problem is by the elements of ]
maxime adcommodus est
per elementa
[Translation: The most convenient method of solving this problem is by the elements of ]
Intelligatur () rectus. et visibile in
linea () sed infinita distantia:
Tum quærendum est punctum
reflexionis quod erit in ()
et ducatur ()
unde problema solvitur ut
in Chartis elimenti
reflexionis
[Translation: It is to be understood that is a line, and visible in the line but infnitely distant.
Then there is sought the point of reflection which will be , and is drawn, whence the problem is solved as it is in the sheets on the elements of reflection.
linea () sed infinita distantia:
Tum quærendum est punctum
reflexionis quod erit in ()
et ducatur ()
unde problema solvitur ut
in Chartis elimenti
reflexionis
[Translation: It is to be understood that is a line, and visible in the line but infnitely distant.
Then there is sought the point of reflection which will be , and is drawn, whence the problem is solved as it is in the sheets on the elements of reflection.