43 Extractio \({1 \over 9}\) \({3 \over 5}\) de \({1 \over 7}\) \({2 \over 3}\)79

Si
234 255
\({1 \over 9}\) \({3 \over 5}\)
\({1 \over 7}\) \({2 \over 3}\)
extractio \({1~~0 \over 3~~5}\)
80 autem \({1 \over 9}\) \({3 \over 5}\) de \({1 \over 7}\) \({2 \over 3}\) extrahere volueris, reperies prescripta 255 et 234 et81 extrahes 234 de 255: remanebunt 21, que82 divide suprascripta ratione per \({1~~0~~0 \over 5~~7~~9}\). Tamen83 prius dividas per 7 et per 9 quam per 5, ideo quia 21 integraliter dividitur per 7 et per 3 que sunt de regula ipsorum 984; exibunt \({3~~0 \over 9~~5}\) pro residuo dicte extractionis, hoc est \({1~~0 \over 3~~5}\). De divisione autem eorum ad invicem fac ut supra.

  • 79Extractio \({1 \over 9}\) \({3 \over 5}\) de \({1 \over 7}\) \({2 \over 3}\):   om. R
  • 80
    234 (234:   om. F) 255 (255:   om. F)
    \({1 \over 9}\) \({3 \over 5}\)
    \({1 \over 7}\) \({2 \over 3}\)
    extractio (extractio:   om. S) \({1~~0 \over 3~~5}\) (\({1~~0 \over 3~~5}\):   om. F    \({1~~1~~1\phantom{3} \over 2~~9~~13}\) 1 | \({0~~3~~15 \over 3~~5~~17}\) post \({1~~0 \over 3~~5}\) S)
    (234:   om. F) (255:   om. F) (extractio:   om. S) (\({1~~0 \over 3~~5}\):   om. F    \({1~~1~~1\phantom{3} \over 2~~9~~13}\) 1 | \({0~~3~~15 \over 3~~5~~17}\) post \({1~~0 \over 3~~5}\) S) :   om. V
  • 81et:   om. F
  • 82que:   quam R
  • 83Tamen:   cum R
  • 849:   om. R

Liber Abbaci

Instrumenta

Capitulum septimum

Indice