Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BAPT. BENED.
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tia ſit albus, rubeus uerò alter, deinde albus ſit pretij .40. ſolidorum uniuſcuiuſ-
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que cubiti, rubeusuerò precij .50. uellemq́ue omnes cubitos eſſe .8. nec plus
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nec minus. </
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<
s
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echoid-s1482
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xml:space
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">Vellem etiam ſoluere ſolidos 450. neque minus.</
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<
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<
s
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xml:space
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">Hic igitur caſus impoſſibilis eſt, eo quòd .8. cubiti totius rubei eſſent precij ſo-
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lidorum .400. tantummodo, unde ex alio panno albo minoris precij ſumere ali-
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quid non poſſumus.</
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</
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<
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<
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xml:space
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">Idem etiam eueniret ſi uoluiſſet ſoluere ſolidos .320. neque plus, eo quòd .8. cu-
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biti illius minoris precij, hoc eſt .40. ſolidorum, eſsent ualoris .320. ſolidorum tan
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tummodo, quare pro alio panno nullus eſset locus. </
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<
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xml:space
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">Animaduertendum igitur erit
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quod numerus poſſibilis ad ſoluendum tale quæſitum erit inter .400. et .320. & non
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extra iſtos terminos, vt vnicuique patere poteſt.</
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<
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<
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xml:space
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">Similiter idem in hoc alio caſu accidere poterit, ut ſi quis diceret.</
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<
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">Emi quinque petias panni pro aureis .55. pretium tamen primæ oblitus ſum, ſed
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memoria teneo, quòd ſecunda altioris pretij erat quam ipſa prima per .4. & ter-
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tia precioſior ſecunda per .7. et quarta carior tertia per .9. quinta verò ſuperabat
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quartam per .2.</
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<
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">Hic etiam reperitur impoſſibilitas quædam, eo quòd aggregatum omnium ha-
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rum rerum, dato etiam quòd pro prima nihil ſolutum eſſet, ſuperat aureos .55 quòd
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quidem nullo pacto fieri poteſt, vt veri ſint ſupra dicti exceſsus, ſi verus eſt numerus
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totalis aureorum .55. </
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<
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">Nam .4. cum .7. faciunt .11. qui quidem .11. cum .9. efficiunt
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20
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20.</
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& hic cum .2. facit .22. ſed .22. cum .20. et .11. et .4. dant .57. qui numerus maior
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eſt quam .55.</
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">FINIS THEOREM. ARIT.</
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