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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            <div xml:id="echoid-div293" type="appendix" level="3" n="1">
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                <s xml:id="echoid-s1481" xml:space="preserve">
                  <pb o="118" rhead="IO. BAPT. BENED." n="130" file="0130" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0130"/>
                tia ſit albus, rubeus uerò alter, deinde albus ſit pretij .40. ſolidorum uniuſcuiuſ-
                  <lb/>
                que cubiti, rubeusuerò precij .50. uellemq́ue omnes cubitos eſſe .8. nec plus
                  <lb/>
                nec minus. </s>
                <s xml:id="echoid-s1482" xml:space="preserve">Vellem etiam ſoluere ſolidos 450. neque minus.</s>
              </p>
              <p>
                <s xml:id="echoid-s1483" xml:space="preserve">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.</s>
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              <p>
                <s xml:id="echoid-s1484" xml:space="preserve">Idem etiam eueniret ſi uoluiſſet ſoluere ſolidos .320. neque plus, eo quòd .8. cu-
                  <lb/>
                biti illius minoris precij, hoc eſt .40. ſolidorum, eſsent ualoris .320. ſolidorum tan
                  <lb/>
                tummodo, quare pro alio panno nullus eſset locus. </s>
                <s xml:id="echoid-s1485" xml:space="preserve">Animaduertendum igitur erit
                  <lb/>
                quod numerus poſſibilis ad ſoluendum tale quæſitum erit inter .400. et .320. & non
                  <lb/>
                extra iſtos terminos, vt vnicuique patere poteſt.</s>
              </p>
              <p>
                <s xml:id="echoid-s1486" xml:space="preserve">Similiter idem in hoc alio caſu accidere poterit, ut ſi quis diceret.</s>
              </p>
              <p>
                <s xml:id="echoid-s1487" xml:space="preserve">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-
                  <lb/>
                tia precioſior ſecunda per .7. et quarta carior tertia per .9. quinta verò ſuperabat
                  <lb/>
                quartam per .2.</s>
              </p>
              <p>
                <s xml:id="echoid-s1488" xml:space="preserve">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
                  <lb/>
                quidem nullo pacto fieri poteſt, vt veri ſint ſupra dicti exceſsus, ſi verus eſt numerus
                  <lb/>
                totalis aureorum .55. </s>
                <s xml:id="echoid-s1489" xml:space="preserve">Nam .4. cum .7. faciunt .11. qui quidem .11. cum .9. efficiunt
                  <num value="20">.
                    <lb/>
                  20.</num>
                & hic cum .2. facit .22. ſed .22. cum .20. et .11. et .4. dant .57. qui numerus maior
                  <lb/>
                eſt quam .55.</s>
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              <head xml:id="echoid-head175" type="footer" xml:space="preserve">FINIS THEOREM. ARIT.</head>
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