150 De395 rotulis forfori cum queritur de gerovinis

Item rotuli forfori \({1 \over 5}\) \({1 \over 4}\) 13 pro karatis396 \({1 \over 7}\) \({5 \over 6}\) 9; quantum valent ergo397 rotuli
kar. for.
419 269
\({1 \over 7}\) \({5 \over 6}\) 9 \({1 \over 5}\) \({1 \over 4}\) \(13\) \({6 \over 13}\)
pensa 539 ger.
est 0 per 13  
\({0~~7~~2~~2~~\phantom{1}8\phantom{1} \over 7~~8~~9~~9~~269}\) 12 \({1 \over 9}\) \({3 \over 8}\) 7
398 gerovini \({1 \over 9}\) \({3 \over 8}\) 7? Describe questionem tanquam essent rotuli unius ponderis; deinde pone \({6 \over 13}\) ante rotulos forforinos, vel ante rotulos gerovinos399 pone \({1 \over 6}\) 2 ea ratione qua superius demonstravimus. Ponamus ergo \({6 \over 13}\) in hac questione ante rotulos forforinos \({1 \over 5}\) \({1 \over 4}\) 13, ut hic osten[V:40r]ditur, et multiplicabis 13 per suas virgulas; erunt 269400, et multiplica 9 per suas401; erunt 419. 151 Item multiplica 7 per suas virgulas; erunt 539, et multiplica 419 per 539 que sunt ex adverso, que402 multiplica per ruptos re[S:47v]liqui403 numeri, scilicet per 4 et per 5 et per 13; et summam404 que exierit divide per 6 que sunt super 13 et per 269 et per ruptos reliquorum numerorum duorum, [R:67v] scilicet per 6 et per [G:70r] 7 et per 8 et per 9; et evitabis hoc quod evitare potes sicuti in precedenti questione demonstravimus, et habebis karatos \({7~~2~~2~~\phantom{1}8\phantom{1} \over 8~~9~~9~~269}\)405 12. Et sic potes facere de qualibet simili questione406, in qua proponatur venditio rotulorum unius ponderis et quesieris pretium rotulorum quorumlibet alterius ponderis.

152 Item ut intelligatur melius, rotuli \({1~~4 \over 2~~7}\) 14 de Messana valent tarenos \({1 \over 9}\) \({2 \over 5}\) 7, et quantum valent rotuli \({1 \over 7}\) \({3 \over 4}\) 17 de Pisis queratur. Primum407 querendum est de rotulo Messane quot rotulos pisanos ponderet, videlicet \({1 \over 4}\) 2 ut ita ponamus, quos pone ante rotulos Messane sicut superius docuimos ponere \({1 \over 6}\) 2 ante rotulos gerovinos; vel pone \({4 \over 9}\) ante rotulos pisanos, ideo quia rotulus pisanus est \({4 \over 9}\) de rotulis Messane.

153 In hac autem ponamus \({1 \over 4}\) 2 ante rotulos Messane, ut hic ostenditur;
338 205 9
tar.  
\({1 \over 9}\) \({2 \over 5}\) 7 \({1~~4 \over 2~~7}\) 14 \({1 \over 4}\) 2
per 11 ⑦ 501  
\({2~~2~~8~~23~~\phantom{1}1 \over 3~~5~~9~~41~~20}\) 4 \({1 \over 7}\) \({3 \over 4}\) 17  
408 et multiplica 2 per 4 et adde 1; erunt 9, que pone super \({1 \over 4}\) 2. Deinde multiplica 14 per suam virgam; erunt 205, que pone super 14409. Item multiplica 7 per suas; erunt 338, que pone super 7. 154 Item multiplica 17 per suos ruptos;
tar. Messana
338 205
\({1 \over 9}\) \({2 \over 5}\) 7 \({1~~4 \over 2~~7}\) 14
  501
\({2~~2~~8~~23~~\phantom{1}1 \over 3~~5~~9~~41~~20} 4\) \({1 \over 7}\) \({3 \over 4}\) 17 \({4 \over 9}\)
410 erunt 501, que pone super 17, et multiplica 338 per 501, que per ruptos qui sunt superius, scilicet per 2 et per 7 et per 4, et divides per 9 et per regulam de411 205 et per reliquos ruptos, videlicet per \({1~~0~~0~~0 \over 4~~5~~7~~9}\), et evitabis ea que evitari poterunt, et pro pretio illorum rotulorum habebis tarenos \({2~~2~~8~~23~~\phantom{1}1 \over 3~~5~~9~~41~~20}\) 4.

155 Explicatis quidem demonstrationibus in venditionibus mercium in quibus inveniuntur pretia mercium, nunc vero revertamus ad easdem venditiones in quibus reperiantur merces positorum pretiorum secundum diversitates venditionum ipsarum, revertentes quidem ad venditiones cantarium.

  • 395De ~ gerovinis:   om. R
  • 396pro karatis:   per karati A F G R S
  • 397ergo:   om. α
  • 398
    kar. for.
    419 (419:   419 6 A) 269 (269:   269 6 F)
    \({1 \over 7}\) \({5 \over 6}\) 9 \({1 \over 5}\) \({1 \over 4}\) \(13\) \({6 \over 13}\) (\({6 \over 13}\):   \({0 \over 13}\) A)
    pensa (pensa:   om. S) 539 ger.
    est 0 per 13 (est 0 per 13:   per 13 est ⓪ A   per 13 ⓪ S)  
    \({0~~7~~2~~2~~\phantom{1}8\phantom{1} \over 7~~8~~9~~9~~269}\) 12 (\({0~~7~~2~~2~~\phantom{1}8\phantom{1} \over 7~~8~~9~~9~~269}\) 12:   om. F) \({1 \over 9}\) \({3 \over 8}\) 7
    (419:   419 6 A) (269:   269 6 F) (\({6 \over 13}\):   \({0 \over 13}\) A) (pensa:   om. S) (est 0 per 13:   per 13 est ⓪ A   per 13 ⓪ S) (\({0~~7~~2~~2~~\phantom{1}8\phantom{1} \over 7~~8~~9~~9~~269}\) 12:   om. F) :   om. G V
  • 399gerovinos:   Ger. A   gerovini F R S V   genoini G
  • 400269:   226 S
  • 401suas:   suas virgulas R
  • 402que:   quem F
  • 403re[S:47v]liqui:   et reliqui α
  • 404summam:   summa S
  • 405\({7~~2~~2~~\phantom{1}8\phantom{1} \over 8~~9~~9~~269}\):    \({0~~7~~2~~2~~\phantom{1}8\phantom{1} \over 7~~8~~9~~9~~269}\) (\({\phantom{7}~~7~~2~~2~~\phantom{2}8\phantom{9} \over 7~~8~~9~~9~~269}\) G) α F R
  • 406questione:   positione F G S
  • 407Primum:   Primum quidem α R
  • 408
    338 205 9
    tar.  
    \({1 \over 9}\) \({2 \over 5}\) 7 \({1~~4 \over 2~~7}\) (\({1~~4 \over 2~~7}\):   \({1 \over 2} {1 \over 7}\) R) 14 \({1 \over 4}\) 2
    per 11 ⑦ (per 11 ⑦:   pensa est ⑦ per 11 A R   om. F) 501  
    \({2~~2~~8~~23~~\phantom{1}1 \over 3~~5~~9~~41~~20}\) 4 (\({2~~2~~8~~23~~\phantom{1}1 \over 3~~5~~9~~41~~20}\) 4:   om. F) \({1 \over 7}\) \({3 \over 4}\) (\({1 \over 7}\) \({3 \over 4}\):   \({1~~3 \over 7~~4}\) A) 17  
    (\({1~~4 \over 2~~7}\):   \({1 \over 2} {1 \over 7}\) R) (per 11 ⑦:   pensa est ⑦ per 11 A R   om. F) (\({2~~2~~8~~23~~\phantom{1}1 \over 3~~5~~9~~41~~20}\) 4:   om. F) (\({1 \over 7}\) \({3 \over 4}\):   \({1~~3 \over 7~~4}\) A) :   om. G V
  • 40914:   114 F   
  • 410
    tar. Messana
    338 205
    \({1 \over 9}\) \({2 \over 5}\) 7 \({1~~4 \over 2~~7}\) 14
      501 (501:   501 4 S)
    \({2~~2~~8~~23~~\phantom{1}1 \over 3~~5~~9~~41~~20} 4\) (\({2~~2~~8~~23~~\phantom{1}1 \over 3~~5~~9~~41~~20} 4\):   om. F) \({1 \over 7}\) \({3 \over 4}\) 17 (17:   om. A) \({4 \over 9}\) (\({4 \over 9}\):    post corr. ut vid. A)
    (501:   501 4 S) (\({2~~2~~8~~23~~\phantom{1}1 \over 3~~5~~9~~41~~20} 4\):   om. F) (17:   om. A) (\({4 \over 9}\):    post corr. ut vid. A) :   om. G R V
  • 411de:   om. F

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Instrumenta

Capitulum octavum

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