29 Extractio de \({2 \over 9}\) \({3 \over 8}\) de \({2 \over 7}\) \({3 \over 5}\)57

Si autem \({2 \over 9}\) \({3 \over 8}\) de \({2 \over 7}\) \({3 \over 5}\) extrahere volueris,
2232 1505
\({2 \over 7}\) \({3 \over 5}\)
\({2 \over 9}\) \({3 \over 8}\)
residuum \({3~~6~~7~~2\phantom{0} \over 4~~7~~9~~10}\)
  \({2~~5~~20 \over 5~~7~~43}\) 1
  \({1~~8~~20 \over 8~~9~~31}\)
58 reperies prescripta 2232 et 1505 et extrahes 1505 de 2232, remanebunt 727, que prescripta ratione divide per \({1~~0~~0~~0\phantom{0} \over 4~~7~~9~~10}\); exibunt \({3~~6~~7~~2\phantom{0} \over 4~~7~~9~~10}\), ut in hac alia cernitur descriptione. Et si \({2 \over 7}\) \({3 \over 5}\) per \({2 \over 9}\) \({3 \over 8}\) dividere vis, divide 2232 per regulam de 1505, et si vis contrarium facies contrarium, et habebis optata ut in questione cernitur.

  • 57Extractio de ( del. R) \({2 \over 9}\) \({3 \over 8}\) de \({2 \over 7}\) \({3 \over 5}\):   om. S
  • 58
    2232 1505
    \({2 \over 7}\) \({3 \over 5}\)
    \({2 \over 9}\) \({3 \over 8}\)
    residuum (residuum:   om. S) \({3~~6~~7~~2\phantom{0} \over 4~~7~~9~~10}\)
      \({2~~5~~20 \over 5~~7~~43}\) 1 (\({2~~5~~20 \over 5~~7~~43}\) 1:   om. α F R)
      \({1~~8~~20 \over 8~~9~~31}\) (\({1~~8~~20 \over 8~~9~~31}\):   om. α F R)
    (residuum:   om. S) (\({2~~5~~20 \over 5~~7~~43}\) 1:   om. α F R) (\({1~~8~~20 \over 8~~9~~31}\):   om. α F R)

Liber Abbaci

Instrumenta

Capitulum septimum

Indice