110 Extractio \({1 \over 5}\) \({3 \over 4}\) 16 de \({1 \over 9}\) \({4 \over 5}\) 442216

Iterum217 si \({1 \over 5}\) \({3 \over 4}\) 16 de \({1 \over 9}\) \({4 \over 5}\) 442218 extrahere volueris, extrahes 3051 de 79724; remanebunt 76673, que superscripta ratione divides per \({1~~0~~\phantom{1}0 \over 2~~9~~10}\); exibunt \({1~~5~~\phantom{1}9 \over 2~~9~~10}\) 425 pro residuo quesite extractionis. Vel extrahe \({1 \over 5}\) 16219 de \({1 \over 9}\) \({4 \over 5}\) 442; remanent \({1 \over 9}\) \({3 \over 5}\) 426. Et tunc220 extraheres221 \({3 \over 4}\) de \({1 \over 9}\) \({3 \over 5}\)222, si possibile esset; sed quia possibile non est, extrahe \({1 \over 9}\) \({3 \over 5}\) 1223 de \({1 \over 9}\) \({3 \over 5}\)224 426; remanent 425. Deinde extrahes \({3 \over 4}\) de prescripto \({1 \over 9}\) \({3 \over 5}\) 1; remanebunt \({1~~5~~\phantom{1}9 \over 2~~9~~10}\) amplius de 425 pro eodem residuo.

111 Rursus si \({1 \over 9}\) \({4 \over 5}\) 442 per \({1 \over 5}\) \({3 \over 4}\) 16 dividere volueris, divide 79724 per regulam de 3051; exibunt \({2~~6~~\phantom{1}14 \over 3~~9~~113}\) 26 pro quesita divisione. Et si \({1 \over 5}\) \({3 \over 4}\) 16 per \({1 \over 9}\) \({4 \over 5}\) 442 dividere volueris, divide 3051 per regulam de 79724; exibunt \({3~~\phantom{1}762\phantom{1} \over 4~~19931}\)225 pro quesita divisione.

  • 216Extractio \({1 \over 5}\) \({3 \over 4}\) 16 de \({1 \over 9}\) \({4 \over 5}\) 442 (422 S):   om. R
  • 217Iterum:   terum S
  • 218442:   422 S
  • 219\({1 \over 5}\) 16:   16 R
  • 220tunc:   nunc R
  • 221extraheres:   extrahes α   extrahes \({1 \over 5}\) R
  • 222\({3 \over 5}\):   \({4 \over 5}\) post corr. R
  • 223\({3 \over 5}\) 1:   \({4 \over 5}\) 1 R
  • 224\({1 \over 9}\) \({3 \over 5}\):   om. R
  • 225\({3~~\phantom{1}762\phantom{1} \over 4~~19931}\):   \({3~~\phantom{1}763\phantom{1} \over 4~~19931}\) α

Liber Abbaci

Instrumenta

Capitulum septimum

Indice