Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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quorum cœleſtium motuum, ac ſimpliciſſimus, & valdè vniformis, ac regu
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laris, & propterea minimum habet tempus, ideſt tempus vnius diei natura
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lis, quo tempore totum primum mobile circulationem integram perficit.
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<
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horarum partes. </
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<
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">conſiderant hunc motum in circulo æquàtoris, quia æqua
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tor motu primi mobilis, ſeu diurno vniformiter, ae maximè regulariter
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mouetur: hac de cauſa hunc motum tanquam reliquorum menſuram, ac
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normam meritò aſſumpſerunt.</
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226</
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<
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(Et in Muſica Dieſis primus ſenſibilis ſonus, quia minimum)
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ideſt mi
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nimum interuallum, quod à Muſicis conſideretur, eſt menſura maiorum in
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teruallorum. </
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<
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">ad tex. 38. primi Poſter. ſatis dictum eſt de Dieſi, quæ videas.</
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">Eodem tex. ſed cap. 3.
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(Nox ſemper autem menſura numero vnum eſt, verum
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aliquando plura, vt puta dieſes duæ, non quidem ſecundum auditum, ſed in ratio
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nibus, & voces plures, quibus menſuramus, & diameter duobus menſuratur, & la
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tus, & omnes magnitudines)
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ita corrigenda eſt antiqua tranſlatio. </
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<
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dictum ſit ad tex. 38. primi Poſter. quando autem ait
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(Vt puta duæ dieſes)
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ideſt duæ dieſes ſunt menſura vnius interualli muſici, qui tonus appellatur:
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quæ quidem duæ dieſes non ſunt menſura ſenſibilis, quæ ſcilicet auribus per
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cipiatur, ſed tantummodò exiſtunt in numerorum proportionibus, ibi per
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intellectum excogitatis, quando ait
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(Et voces plures quibus menſuramus)
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quando vtimur eodem interuallo, ſiue eadem voce ad cantus menſuram,
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tunc ſunt plures menſuræ numero, quamuis vna tantum ſpecie. Ait
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(Et dia
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meter duobus menſuratur)
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v. g. duobus ſemidiametris: vel duobus pedibus.
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; mo
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do reliquæ omnes magnitudines poſſunt ab eadem menſura ſæpius replica
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ta menſurari.</
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(Semper autem menſura eiuſdem generis eſt, magnitudinum nam
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que magnitudo, & ſecundum vnumquodque, longitudinis longitudo
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) ex his ratio
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manifeſta apparet, cur Geometræ practici menſurent longitudines per ali
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quam longitudinem, vt puta per vlnam, digitum, vnciam, &c. </
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etiam per aliquam ſuperficiem, ſed quæ ſit quadrata, vt puta per vlnam qua
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dratam, palmum quadratum, &c. </
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per corpus, quod tamen
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ſit cubus, vt per vlnam cubicam, palmum cubicum, vnciam cubicam, &c.</
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(Similia verò ſi cum non ſint eadem ſimpliciter, nec ſecundum ſubſtan
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tiam ſubiectam indifferentia ſecundum formam eadem ſit: quemadmodum quadra
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tum maius minori ſimile eſt, & lineæ inæquales, hæ enim ſimiles quidem, verŭm non
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cædem ſimpliciter ſunt)
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Prima definitio ſexti definit ſimiles figuras eas eſſe,
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quæ ſunt æquiangulæ inuicem, & quæ habent latera proportionalia circa
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æquales angulos. </
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quia habent omnes angulos rectos; & præterea habeant latera circa æqua
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les angulos proportionalia, ſicut enim latera maioris quadrati circa vnum
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angulum rectum ſunt in proportione æqualitatis; ita
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latera minoris
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circa vnum angulum rectum ſunt illis proportionalia, cum ſint inuicem pa
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riter in proportione æqualitatis, erunt neceſſariò ſimilia hæc duo quadrata.
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ſit maior altera.</
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