Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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78</
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">Eodem cap. (
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Rurſum ſi eorundem; quæ ſunt ſub eodem nomine diuerſæ diffe
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rentiæ ſunt; vt coloris, qui eſt in corporibus, & in melodijs
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) veteres Muſici can
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tilenas omnes ad tria genera reuocarunt, videlicet Enharmonicum, Chro
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maticum, & Diatonicum; quæ diſtinguebantur inuicem ex varia diuiſione
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interuallorum, ex quibus ipſorum Monochordia conſtabant: ſiue ex varijs
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vocum interuallis, v. g. quia in vno continebantur plures toni, vt in Diato
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nico; in alio plures dieſes, vt in Enharmonico; in tertio verò plura ſemito
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nia, vt in Chromatico: quæ vox deducitur à chroma, græco, quod latinis
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eſt color; quare Chromaticum latinè redditur coloratum. </
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color ille, quem hic Ariſt. innuit. </
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">quod genus forſitan à calore denomina
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batur, quòd ipſius notæ muſicales eſſent coloratæ, vt hoc modo ab alijs ge
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neribus dignoſceretur. quam conſuetudinem exiſtimat Zarlinus cap. 46. ſe
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cundæ partis, etiam noſtra tempeſtate aliquo modo perſeuerare, cum vi
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deamus in organis, & alijs huiuſmodi inſtrumentis, quæ pinnas, vulgò ta
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ſtos, habent; illas inquam pinnas, quæ chromaticis interuallis deputatæ
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ſunt, colore nigro tinctas eſſe.</
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Libro Quarto.
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79</
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<
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">Cap. 1. loco 10. (
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Si quis inſecabiles ponens lineas
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) nonnulli antiquorum
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Philoſophorum putarunt omnia ex indiuiſibilibus componi, vt Demo
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critus, & Leucippus, & propterea dixerunt, etiam lineas conſtare ex lineis
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quibuſdam adeò paruis, quæ omnino eſient inſecabiles, ſeu indiuiſibiles: de
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quibus plura in libello de line is inſecabilibus.</
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Libro Sexto.
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80</
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<
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">Cap. 2. loco 32. (
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Vt qui lineam definiunt longitudinem ſine latitudine eſſe
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)
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ſupponimus lectorem intellexiſſe definitiones ſaltem primi Elem. in
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ter quas definitio lineæ eſt ſecunda,
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; cum hac Ariſtotelis.</
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Libro Octauo.
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81</
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Videntur autem in diſciplinis, ſeu Mathematicis quædam
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ob definitionis defectum non facile deſcribi; vt & quoniam, quæ ad latus ſe
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cat planum linea, ſimiliter diuidit & lineam, & locum: definitione autem dicta,
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ſtatim manifeſtum eſt, quod dicitur, nam eandem ablationem habent loca, & linea,
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ſive latus planæ figuræ, est autem definitio eiuſdem proportionis hæc
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) mendosè
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legitur à nonnullis (
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Eſt distem definitio eiuſdem orationis hæc
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) quos puto de
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ceptos ab æquiuoco
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quod & orationem, & rationem, ſiue proportio
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nem ſignificat: hic autem ſignificare proportionem res ſubrecta ſatis mani
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feſtat. </
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<
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nui in cap. de Priori, & alibi) per verbum (Deſcribi) ſignificari hoc loco
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geometricè demonſtrare, quoniam Geometræ
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niſi adhibitis deſcriptio
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nibus, ſeu figuris demonſtrant. </
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oſtendere, difficile eſſe diſputare, aut
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, niſi prius rectè aſſignetur </
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