81 De rotulis180

Rotuli 37 valent libras 11; quantum
⓪ £
11 37
per 11  
\({12~~\phantom{1}0~~\phantom{1}7 \over 37~~12~~20}\) 5 18
181 valent ergo rotuli 18? Multiplica 11 per 18; erunt 198, que multiplica per 12 et per 20, hoc est per 240 ut habeamus ea182 in virgula; erunt 47520, que divide per \({\phantom{1}1~~\phantom{1}0~~\phantom{1}0 \over 37~~12~~20}\); exibunt \({12~~0~~7 \over 37~~12~~20}\) 5 pro pretio de rotulis 18

82 De eodem

Item rotuli 42 valent libras \({1 \over 5}\) \({1 \over 4}\) 13; quantum valent ergo rotuli \({1 \over 2}\) 18?
⑤ 269 £
\({1 \over 5}\) \({1 \over 4}\) 13 42
pensa per 11 37
\({6~~\phantom{1}5~~18 \over 7~~12~~20}\) 5 \({1 \over 2}\) 18
183 Multiplica 13 per suas vir[R:63r]gulas: erunt 269, et multiplica 18 per 2 et adde 1; erunt 37, que multiplica per 269: erunt 9953, que divide per regulam de 42, scilicet per \({1~~0 \over 6~~7}\) et per 2 et per 4 et per 5 que sunt sub virgulis amborum numerorum, coaptans eos sic: quod de \({1 \over 2}\) et \({1 \over 6}\) facies \({1 \over 12}\) et de \({1 \over 4}\) et \({1 \over 5}\) facies \({1 \over 20}\), et habebis in eorum coaptatione \({1~~\phantom{1}0~~\phantom{1}0 \over 7~~12~~20}\); exibunt libre184 \({6~~\phantom{1}5~~18 \over 7~~12~~20}\) 5 pro pretio illorum rotulorum \({1 \over 2}\) 18

83 Nunc satis dictum est de venditionibus cantarium185 et aliorum diversorum ponderum pro libris denariorum, in quibus [V:37r] indigemus habere in virgulis186 divisionum ipsorum \({\phantom{1}1~~\phantom{1}0 \over 12~~20}\) ut habeamus libras, soldos187 et denarios in una multiplicatione. Nunc de eorum venditionibus factis a soldis, in quibus indigebimus188 habere tantum \({1 \over 12}\) in [G:65r] capite virgularum divisionum ipsorum, ut que super 12 ex divisionibus remanserint189 fiant denarii, cum ea que ex divisionibus190 extra virgulam exierint sint191 soldi.

  • 180De rotulis:   om. R
  • 181
    ⓪ £
    11 37
    per 11  
    \({12~~\phantom{1}0~~\phantom{1}7 \over 37~~12~~20}\) 5 18
    :   om. V
  • 182ea:   eos R
  • 183
    ⑤ 269 £
    \({1 \over 5}\) \({1 \over 4}\) 13 42
    pensa per 11 (11:   11 est S) 37
    \({6~~\phantom{1}5~~18 \over 7~~12~~20}\) 5 \({1 \over 2}\) 18
    (11:   11 est S) :   om. V
  • 184exibunt libre:   et exibunt R
  • 185cantarium:   cantariorum R
  • 186virgulis:   virgulas α F R
  • 187soldos:   om. S
  • 188indigebimus:   indigemus R
  • 189remanserint:   remanserunt R
  • 190ex divisionibus:   om. R
  • 191exierint sint:   exierit sunt F   exierit sint α S

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