Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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ſed eadem ratione erit etiam in linea B E, er
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go non niſi in puncto F, quod
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eſt in vtra
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que, quod erat demonſtrandum. </
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<
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paret, qua ratione mechanica concluſio Geo
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metriæ ſubiaceat, dum lineari diſcurſu ipſa
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demonſtratio perficitur. </
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<
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trum grauitatis eſſe tale punctum, ex quo ſi ſu
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ſpendatur corpus triangulare vniformis craſ
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ſitici, manet ſemper horizonti parallelum, ſi
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tamen antequam ſuſpenderetur, iacebat plano horizontis, æquidiſtans;
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neq;
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ſi ſuſpenſum feratur huc illud nutat, ſed ſemper in
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codẽ
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ſitu perſeuerat.</
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39</
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<
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">Tex. 24.
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(Veluti Arithmetica quidem quid impar, aut par; aut quadrangu
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lum, aut cubus)
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cognoſcas hinc certò certius quadrangulum, & cubum eſſe
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ſpecies numerorum, ſicuti ſupra tex. 9. & 20. explicauimus, quò nunc te vi
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ciſſim, vt præſentem locum intelligas, remittimus.</
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<
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">Ibidem
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(Geometrica verò quid irrationale, aut refrangi, aut concurrere)
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per
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verbum, irrationale, non videtur Ariſt. intellexiſſe proprietatem illam duo
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rum linearum incommenſurabilium longitudine, & potentia, quia vſus fuiſ
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ſet verbo,
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quod apud Geometras vſurpari ſolet in illa ſignificatio
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ne, ſed vſus eſt verbo,
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quod latinè redditur improportionale.</
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(Refrangi)
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ſeu frangi, intelligit lineam aliquam rectam, non
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in directum tendere, ſed in aliquo puncto frangi, ſeu declinari à rectitudine,
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ita vt conſtituat angulum.</
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(Concurrere)
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intelligit, non eſſe parallelas, ſed ad idem ali
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quod punctum coire, ſi protrahantur.</
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<
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(Et Astrologia ſimiliter)
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per Aſtrologiam intelligit Ariſt. non iu
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diciariam, quamuis à recentioribus hoc nomine vocetur, ſed quam hodie
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dicunt Aſtronomiam,
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aitq́
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; ipſam conſiderare quantitatem, figuram, mo
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tum, & locum totius Mundi, ac partium ipſius integrantium, vt ſunt Cœli,
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& Elementa.</
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(
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Geometra falſa ſupponit, quemadmodum quidam aſſeruere di
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centes, quod non oportet falſo vti: Geometram verò mentiri dicentem pedalem, non
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pedalem, aut rectam deſcriptam, non rectam
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: Geometra verò nihil con
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cludit eò, quod hæc eſt linea, ſed quæ per hæc oſtenduntur)
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innuit his verbis eam
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materiam intelligibilem, quæ eſt ſubiectum Geometriæ: eam ſcilicet, quæ
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ſub figuris Geometricis ſenſibilibus, &
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plerunq;
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falſis latet; nam ſæpè Geo
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metra vtitur linea quadam ſenſibili pro recta, quæ verè nec eſt linea mathe
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matica, nec recta; ſupponit aliquando talem lineam eſſe pedalem, quæ ve
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rè non eſt pedalis: Verumtamen non mentitur, quia reſpicit ad veram li
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neam mathematicam, quæ ſub illa intelligitur, & quæ recta concipitur; &
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quidem hæc omnia verè concipiuntur, quoniam ita eſſe re vera poſſunt.</
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(Coaltern as verò coincidere)
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per coalternas intelligendas eſſe pa
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rallelas lineas, alias, & nunc
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monemus.</
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<
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(In Mathematicis verò non est ſimiliter paralogiſmus, quoniam me
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diŭ eſt ſemper, quod duplex, de hoc enim omni, & hoc rurſus de alio dicitur omni)
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aduerte, quod quamuis nonnulli codices habeant pro, in mathematicis, </
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