Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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ram, cùm enim ad ſummam perfectionem peruenerit, quæ in numero ſoli
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do, & cubico ſignificatur, ſi vlterius progreſsura ſit, neceſſariò ſummam
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perfectionem præteribit, ac derelinquet. </
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<
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">Quòd autem numerus 1728. ſit
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numerus ſolidus, & cubus ipſius Duodenarij ſic palàm fiet, ſi tamen prius,
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ea repetiueris, quæ ſupra in primo Poſter. num. </
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">33. marginali, de numero
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Quadrato, & Cubo dicta ſunt: eſt autem cubus numerus is, qui ex gemina
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to ductu alicuius numeri in ſe ipſum, producitur. </
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<
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12. in 12. & producetur numerus 144. qui quadratus, & planus eſt. </
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duc 12. in hunc 144.
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; numerus 1728. quì cubus, ac proinde
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ſolidus eſt, vt loco citato explicauimus. </
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hæc Socratici huius myſterij
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explicatio ſufficiat.</
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Ex Octauo Politicorum.
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331</
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<
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">Cap. 5. (
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Muſicam verò omnes fatemur eſſe ex iucundiſſimis, ſiue nuda ſit,
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ſiue cum melodia
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) Quamuis latina interpretatio pro melodia, di
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cat, modulatione, Gręcus tamen textus habet
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ideſt
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melodia. </
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quæ ſolis ſonis
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oratione conſtat; per melodiam verò intelligit eam,
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quam Ioſephus Zarlinus in 2. parte ſuarum Inſtitutionum Muſicalium defi
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nit, quæ eſt concentus plurium vocum harmonicus cum rithmo, & oratio
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ne, ideſt, qua canitur oratio aliqua ſub aliquo rithmo, aut modo, ſiue vt
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nunc loquimur, conqualchearia.</
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">Ex quibus liquet noſtros contrapuntiſtas toto cœlo aberrare, dum ſuas
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cantilenas, abſque vlla verborum intelligentia, atque abſque vllo rithmo
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diſperdunt.</
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332</
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Phrygiæ. </
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<
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">de quibus ſupra 3. lib. Polit. cap. 2. tractaui,
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; proprieta
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tes, quas hic Ariſt. recenſet ibi connumeraui.</
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333</
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eſt ſuperius lib. 3. Politic. eſſe quem nunc vulgò ariam cantores, ac tibici
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nes appellant.</
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">Harmonia eſt plurium vocum ex acuto, & graui concors modulatio.</
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334</
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Conſiderandum vtrum omnibus vtendum ſit harmonijs, & rithmis
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Vide quæ ſupra lib. 3. Politic. cap. 2. annotaui.</
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In Oeconomicis nihil Mathematicum reperi.
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