174 De ruptis rotulorum456

Item \({1 \over 4}\) \({2 \over 3}\) unius rotuli pro \({1 \over 7}\) \({1 \over 6}\) \({2 \over 5}\) unius bizantii; quantum habuero de rotulis457 pro \({1~~4~~\phantom{1}7 \over 8~~9~~10}\) unius
149 b. 11 ℞
\({1 \over 7}\) \({1 \over 6}\) \({2 \over 5}\) \({1 \over 4}\) \({2 \over 3}\)
537  
\({1~~4~~\phantom{1}7 \over 8~~9~~10}\) \({3~~\phantom{1}8~~\phantom{1}83~~11 \over 4~~10~~149~~12}\)
458 bizantii? Describe questionem sic, et multiplica \({1 \over 4}\) \({2 \over 3}\) per \({1~~4~~\phantom{1}7 \over 8~~9~~10}\) et divide per \({1 \over 7}\) \({1 \over 6}\) \({2 \over 5}\), quod sic fit: accipe prius \({1 \over 4}\) \({2 \over 3}\), et multiplicabis 2 que sunt super 3 in 4 et 1 quod est super 4 in 3 et adde insimul; erunt 11, que pone super \({1 \over 4}\) \({2 \over 3}\). 175 Et invenies numerum de \({1 \over 7}\) \({1 \over 6}\) \({2 \over 5}\); erunt 149, que pone super \({1 \over 7}\) \({1 \over 6}\) \({2 \over 5}\) et invenies numerum de \({1~~4~~\phantom{1}7 \over 8~~9~~10}\); erunt 537, et multiplicabis 11 per 537, que per ruptos [F:42r] qui sunt sub virgulis sub 149, scilicet per 5 et per 6 et per 7, et divides summam per 149 et per ruptos qui sunt sub 11 et sub 537, hoc est per \({1~~0~~0~~0~~0 \over 3~~4~~8~~9~~10}\) , qui insimul coaptati sunt \({1~~0~~0~~0~~0 \over 8~~9~~10~~149~~12}\), et459 evitabis hoc quod evitare poteris; exibunt \({3~~\phantom{1}8~~\phantom{1}83~~11 \over 4~~10~~149~~12}\).

  • 456De ruptis rotulorum:   om. R
  • 457de rotulis:   om. R
  • 458
    149 b. 11 ℞
    \({1 \over 7}\) \({1 \over 6}\) \({2 \over 5}\) \({1 \over 4}\) \({2 \over 3}\)
    537 (537:   om. S)  
    \({1~~4~~\phantom{1}7 \over 8~~9~~10}\) \({3~~\phantom{1}8~~\phantom{1}83~~11 \over 4~~10~~149~~12}\)
    (537:   om. S) :   om. G V
  • 459et:   om. α F S

Liber Abbaci

Instrumenta

Capitulum octavum

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