12864v
[Commentary:
A note on avulsed equations in cases where the two roots have the same first ]
Radix igitur minor 38.
Quæratur iam major.
sit minor . maior .
[…]
Datur igitur .
[Translation: Therefore the smaller root is 38.
Now there is sought the greater.
let the smaller be , the greater be .
Therefore there is given .
Quæratur iam major.
sit minor . maior .
[…]
Datur igitur .
[Translation: Therefore the smaller root is 38.
Now there is sought the greater.
let the smaller be , the greater be .
Therefore there is given .
Nota.
Operatio pro eductione lateris maioris aliquando secundum partem
est similis operatione pro eductione lateris minoris. nimirum si
utraque latera consentiant in primis figuris. ut si
latus minus sit 23. maius 24. Ita si minus 343. maius 347.
et sic de
[Translation: Note.
The operation for extracting the greater root is sometimes similar in the second part to the extraction of the smaller; clearly if both roots agree in the first figures, as when the smaller root is 23, the greater 24. Thus if the smaller is 343, the greater 347, and so on for ]
Operatio pro eductione lateris maioris aliquando secundum partem
est similis operatione pro eductione lateris minoris. nimirum si
utraque latera consentiant in primis figuris. ut si
latus minus sit 23. maius 24. Ita si minus 343. maius 347.
et sic de
[Translation: Note.
The operation for extracting the greater root is sometimes similar in the second part to the extraction of the smaller; clearly if both roots agree in the first figures, as when the smaller root is 23, the greater 24. Thus if the smaller is 343, the greater 347, and so on for ]
Sed si differentiant in prima figura; dissimilis erit tota
operatio erant operationes totaliter, ut in exemplis
sit minor . maior .
antecedentibus in his
[Translation: But if they differ in the first figure, the operations are totally different, as in the preceding examples in these ]
operatio erant operationes totaliter, ut in exemplis
sit minor . maior .
antecedentibus in his
[Translation: But if they differ in the first figure, the operations are totally different, as in the preceding examples in these ]