Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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Ex Quinto Metaphyſicæ.
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210</
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<
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">Tex. 2. (
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Alia verò cauſa eſt forma, & exemplar: hæc autem eſt ratio ip
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ſius quid erat eſſe, & horum genera, vt ipſius Diapaſon duo ad vnum,
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& ſimpliciter numerus, & partes, quæ in ratione ſunt
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) affert exem
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plum cauſæ formalis ex Muſica petitum;
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aitq́
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; cauſam formalem
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illius conſonantiæ, quæ Diapaſon dicitur,
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eſtq́
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; omnium perfectiſſima, eſſe
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duplam proportionem, ideſt, quæ eſt inter duo, & vnum, id, quod omnes
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Muſici
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fatẽtur
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. </
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<
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">quod vt inelius intelligas, repete, quæ in 2. Poſter. ad tex. 1.
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ſcripta ſunt: necnon quæ in libro de Senſu in cap. 8. Amplius inquit cauſam
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formalem genericam eiuſdem Diapaſon eſſe numerum, & partes numeri,
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ſub numero enim continentur & duo, & vnum. </
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<
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id
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">Occurrit hoc loco vnum
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magnopere notandum, videlicet tam conſonantias, quam diſſonantias ha
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bere proportiones numerorum, hoc tamen diſcrimine, quod conſonantiæ
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habent ſolùm proportiones numerorum eorum, qui quaternario continen
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tur, ex veterum præſertim Pythagoreorum ſententia, qui propterea vltra
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quaternarium progredi vetabant. </
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<
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">Recentiores tamen uſque ad ſenarium
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procedunt, quippe, qui omnes vocum conſonantias admittunt, quæ pro
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portionibus numerorum ſenario contentorum præditæ ſint. </
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<
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">Diſſonantiæ
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verò ſecundum priſcos habent proportiones numerorum extra quaterna
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rium progredientium, iuxta noſtros autem extra ſenarium. </
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<
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bus Zarlinus colloquio 2. definit. </
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211</
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<
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(Partes
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quoq;
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totius
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) ideſt ſunt materia; loquitur enim de cauſa
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materiali. </
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<
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id
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">libuit locum hunc annotare in gratiam Geometricarum demon
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ſtrationum, quorum media ſæpè ſunt ex cauſa materiali ſumpta, quod ta
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men non ita ab omnibus obſeruatur,
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quotieſcunq;
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enim probant affectio
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nem quampiam de aliquo ſubiecto, ex eo, quod ſubiectum illud ſit, vel di
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midium alicuius, vel duplum, vel reliquum, vel tertia pars, & his ſimilia,
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erit talis ratio in genere cauſæ materialis. </
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eſt cur recentiores quidam,
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naturalibus ſcientijs aſſueti, negent huiuſmodi materiam veram eſſe mate
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riam, ac proinde neque, Geometricas demonſtrationes veras eſſe demonſtra
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tiones; dicendum enim talem quidem materiam non eſſe veram materiam
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phyſicam, & proinde illas demonſtrationes
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eſſe veras naturales demon
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ſtrationes, eſſe tamen veram materiam intelligibilem, quæ Geometriæ ſu
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bijcitur, & proinde demonſtrationes illas veras eſſe demonſtrationes Geo
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metricas; id quod Ariſt. ſæpius in libris Poſter, apertè ſignificat, tum aſſer
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tionibus, tum exemplis quamplurimis. </
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ingrati animi notam incurrant, dum pulcherrimam artem reſolutoriam,
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quam Ariſt. à Mathematicis acceptam omnibus ſcientijs accommodauit
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(vt initio Priorum oſtenſum eſt) eam ipſi ita alijs facultatibus adaptent, vt
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Mathematicis ipſis, ex quibus orta, & ſub quibus adoleuit, pulla ratione
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conuenire poſſit. </
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<
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thematicarum.</
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212</
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<
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Et ipſius Diapaſon duplum, & numerus
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) ſcilicet cauſæ formales
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ſunt, quemadmodum ſupra tex. 2. huius cap. explicatum eſt.</
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