Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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QVÆSTIO NONA
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De Trochleis, & Scytalis.
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250</
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Cvr ea, quæ per maiores circulos tollantur, & trahuntur facilius, & ci
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tius mouentur? </
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<
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id
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">veluti per maiores trochleas, quàm per minores, & ſcy
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talas ſimiliter? </
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id
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">An quanto maior fuerit illa, quæ à centro eſt, in æquali
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temporis ſpatio maius ſpatium conficit? </
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s
id
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">quamobrem æqualì inexiſtente
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onere, idem faciet, ſicuti diximus maiores libras minoribus exactiores eſſe; ſpar
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tum enim in illis centrum eſt: partes verò libræ vtrinque à ſparto ſunt veluti lineæ
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ex centro)
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Cum textus huius quæſtionis fatis clarus ſit, præſertim ſi prius
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legantur, quæ dicta ſunt de libra in prima quæſt. </
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">& quæ de rota, & trochlea
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in proxima præcedenti, à paraphraſi ipſius ſuperſedebo. </
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id
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">Illud tamen, quod
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magis neceſſarium eſt, non omittam, vt ſcilicet difficultatibus quibuſdam
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occurram. </
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<
s
id
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">Et primo, quod Ariſt. ait, ea quæ per maiores circulos veluti
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trochleas, ſeu rotulas trahuntur, facilius trahi, quàm ea, quæ per minores,
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non videtur ex omni parte verom. </
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<
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id
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">nam ſicuti in
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abbr
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præcedẽti
">præcedenti</
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quæſtione oſten
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ſum eſt ex Guido Vbaldo, trochlea ſimplex, ſiue rotula illa ſtriata, cui funis
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ſupernè inditur, vt in ſuperiori figura; nullas addit vires potentiæ, quia re
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ducitur ad vectem, cuius fultura ſit in medio ipſius. </
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">ſiue igitur rotula illa
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magna fuerit, ſiue parua, ſemper in talem vectem reſoluetur, & propterea,
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vt etiam experientia conſtat eodem labore aquam hauriunt, ſiue rotula illa
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magna fuerit, ſine parua. </
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<
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id
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">nec minus vera videtur reſponſio, cum ait
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(An quia
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quanto maior fuerit illa, quæ à centro eſt, in æquali
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tẽpore
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maius mouetur ſpatium)
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quæ quidem vera ſunt, ſi intelligantur hoc modo, nimirum, quod quando
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plures
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circulſconcẽtrici
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,
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atq;
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inuicem connexi fuerint, ita vt vnus ſine alijs
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moueri nequeat, tunc quanto maior fuerit diameter, & conſequenter cir
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cunferentia, tanto velocius mouebitur. </
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">ſi autem intelligantur de duobus
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circulis ab inuicem ſeparatis, quorum vnus
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abſq;
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altero moueri poteſt, vt ſie
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quando vtimur modo rotula magna, modo parua ad aquam hauriendam
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non videntur vera, in quo ſenſu manifeſtè loquitur Ariſt. </
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">Quapropter vt ſin
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cerè loquar, nunc neſcio, qua ratione Ariſt ab errore excuſare valeam, alijs
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fortè occurret.</
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">Vt autem conſtat ex ſequenti
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quæſtione 11. ſcyntala erat inſtrumentum quoddam vectorium, quod ro
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tas, ſicut currus, aliter tamen factas, habebat, porrò
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ideſt ſcytala
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inter alia ſignificat
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baculũ
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, ſiue lignum oblongum, ac teres, qualia ea ſunt,
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quibus vtimur in ſucculis, vulgò Naſpe; & in axe in peritrochio, vt videre
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eſt apud
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Vbaldum. </
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<
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id
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">hinc factum eſt, vt apud Lacædemonios ſcytala
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ſignificaret quoddam genus epiſtolæ, quam ſcytalem laconicam dicebant,
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quia in charta inſtar zonæ oblonga, & circa ſcytalam, hoc eſt circa bacillum
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quendam ſpiratim circumuoluta exarabatur; ita vt verſus ſcripturæ ſecun
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dum ſurculi longitudinem ducerentur, ex quo fiebat, vt per iuncturas mem
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branæ, literæ, ac verba procederent, membranam hanc ex ſcytala reuolu
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tam, & aliter complicatam Imperatori mittebant, reſolutio autem </
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