Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.003905">
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              tinos quadrantal pro cubo ſolet vſurpari. </s>
              <s id="s.003906">in denario autem
                <expan abbr="cõtinetur">continetur</expan>
              etiam
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              hic numerus, eſt enim octonarius numerus cubus, fit enim ex binario ter in
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              ſe ipſum multiplicato, hoc modo; duo bis faciunt quatuor: rurſus duo qua­
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              ter faciunt octo; quem ex definitione numeri cubi, conſtat eſſe cubum. </s>
              <s id="s.003907">qua
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              ratione deinde reliqui numeri, longus, planus, primus, compoſitus, in de­
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              nario exiſtant, facilè eſt cognoſcere, dummodo eorum definitiones tenean­
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              tur, quæ initio 7. Elem. traduntur.</s>
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              <s id="s.003908">
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              340</s>
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              <s id="s.003910">Ibidem
                <emph type="italics"/>
              (An quod denarius fons,
                <expan abbr="atq;">atque</expan>
              principium eſt, quippe qui ex vno, duo­
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              bus, tribus, & quatuor conſtet)
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              Aliam denarij dignitatem aſſignat, quam ex
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              Plutarcho lib. 1. cap. 3. de Placitis Philoſophorum, optimè poſſumus intel­
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              ligere: vbi ſic ait: Pythagorei aiebant denarium eſſe Naturam, quoniam
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              omnes gentes
                <expan abbr="vſq;">vſque</expan>
              ad decem natura duce numerabant. </s>
              <s id="s.003911">tum etiam, quia ex
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              quaternario conſtabat, ideſt, ex his quatuor numeris 1. 2. 3. 4. qui ſimul ad­
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              diti faciunt decem: quaternarium enim Pythagorei multis de cauſis, quas
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              apud Petrum Bungum de myſterijs numerorum videre poteris, adeò extol­
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              lebant, vt dicerent ex quaternario naturalia, omnia conſtare, vt quaterni­
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              tati omnia accepta referrent. </s>
              <s id="s.003912">vnde etiam per ipſum conceptis his verſibus
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              iurare ſolebant,</s>
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              <s id="s.003913">
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              Iuro per omnipotentem animæ, qui Tetrada noſtræ
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              Perpetuos fontes naturæ infudit habentem.
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              <s id="s.003914">Pręcipua verò cauſa, cur tantopere Pythagorei quaternitatem celebrarint,
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              refertur à Marſilio Ficino cap. 24. compendij in Tymeum, his verbis: ex
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              quatuor elementis, geometrica, & harmonica ratione coniunctis inuicem,
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              vniuerſum Mundum compoſitum Pythagorei omnes exiſtimant: conſonan­
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              tiam horum in cœlo ſemper eſſe perfectam, ſub cœlo autem aliquando diſ­
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              ſonantem. </s>
              <s id="s.003915">volebant ergò totum mundum, tam æthereum, quàm elementa­
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              rem, conſtare ex quatuor elementis; & ideò ex quaternario omnia conſta­
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              re dicebant. </s>
              <s id="s.003916">hac de cauſa Pythagorei in muſicis conſonantijs, vltra quater­
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              narium progredi vetabant; hoc eſt nullam admittebant conſonantiam, quæ
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              numeris quaternario
                <expan abbr="contẽtis">contentis</expan>
              non exprimeretur, idcircò ſupra quadruplam
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              non aſcendebant. </s>
              <s id="s.003917">Verùm inter alias quaternitatis dignitates hanc maximi
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              faciebant, quod denarius ex ipſa, vti modo dictum eſt, componeretur; cu­
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              ius excellentiam in ipſum proinde denarium transfundebant, dicebantque
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              denarium eſſe numerum perfectum, & aliorum numerorum fontem, atque
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              principium. </s>
              <s id="s.003918">quemadmodum natura ipſa quaternario
                <expan abbr="cõſtans">conſtans</expan>
              , erat omnium
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              rerum origo. </s>
              <s id="s.003919">Ex quibus manifeſtum eſt Ariſt. Problema hoc,
                <expan abbr="atq;">atque</expan>
              eius ſo­
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              lutionem ex Pythagoreorum philoſophia accepiſſe.</s>
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              341</s>
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              <s id="s.003922">Ibidem
                <emph type="italics"/>
              (An quia corpora, quæ feruntur numero nouenario continentur)
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              Puto
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              hæc nouem corpora, quæ mouentur, eſſe cœlos, primum ſcilicet Mobile,
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              Firmamentum, & ſeptem Planetarum orbes: quibus ſi addas ſphæram ele­
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              mentarem, habebis denarium corporum perfectiſſimum, ex quo tota Mun­
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              di machina componitur.</s>
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              </s>
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              <s id="s.003924">
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              342</s>
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            <p type="main">
              <s id="s.003925">Ibidem
                <emph type="italics"/>
              (An quod decem proportionibus, quatuor cubales numeri conſumun­
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              tur, è quibus numeris vniuerſum conſtare Pythagoreis placet?)
                <emph.end type="italics"/>
              Aliam denarij
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              perfectionem affert, quam ex 8. 9. Elem. comprobare,
                <expan abbr="atq;">atque</expan>
              intelligere poſ­
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              ſumus. </s>
              <s id="s.003926">eſt autem 8. 9. Elem. propoſitio hæc: ſi decem numeri in eadem </s>
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