Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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ex ſe patet, remotiores ſcilicet partes diametrorum à centro velocius mo
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ueri, quàm viciniores; ex hac enim maiori velocitate ſequitur maiore etiam
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vi moueri, vnde & potentiæ mouenti in extremo eius vis augebitur, & plus
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poterit quam ſola ſine vecte, eſt enim vectis duæ ſemidiametri altera alte
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ram longior; ex quibus fortè apparet vnde vectis vires oriantur.</
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">His igitur tanquam huius Mechanicæ facultatis principijs poſitis, ad va
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rias Quæſtiones diſcutiendas accedit.</
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QVÆSTIO PRIMA
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De Libra.
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242</
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">Cvr autem maiores libræ minoribus ſint exactiores, palàm eſt ex
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præmiſſis principijs. </
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<
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id
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">conſiderare enim oportet, quod in motu li
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bræ deſcribitur quidam circulus, cuius diameter ſunt ipſa libræ
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brachia, centrum verò eſt ſpartum, ſiue trutina; hoc enim pun
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ctum in motu libræ manet: duo verò brachia ſunt veluti duæ ſemidiametri
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à centro exeuntes, vt in figura cerne
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re eſt, in qua centrum, ſiue ſpartum
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eſt vbi C, reliqua ſunt manifeſta. </
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eadem porrò figura libra maior ſit
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A B. minor verò circa idem ſpartum
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C, ſit F G. </
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">Iam vt præmiſſum eſt, ea
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dem vi, vel eodem onere in lance B,
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poſito, mouebitur velocius brachium
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libræ maioris, quàm minoris ſit ma
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ior tranſlata ad
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locũ
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D E, ergò com
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mota eſt per arcum B E, vel A D. </
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">Minor autem libra acta eſſet per mino
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rem arcum G I, vel F H, melius autem apparet arcus B E, maior, quam mi
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nor G I,
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hoc eſt, quòd maiores libras exactiores facit. </
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; etiam eſt,
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quòd nonnulla pondera in minimis libris adeò paruam brachiorum aper
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tionem faciant, vt ægrè percipi poſſit; in magnis verò propter brachiorum
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longitudinem valdè ſenſibilem efficiant. </
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<
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& in paruis apparent, ſed tamen ſemper melius in magnis ob dictam ratio
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nem. </
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defraudent, tum in medio libræ non ponentes ſpartum, vt hoc modo bra
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chium ex vna parte longius factum facilius moueatur, & proinde à minori
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purpuræ pondere; tum etiam
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in lancem illam infundentes inquam
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merces imponitur, vel partem illam lancis, quam magis grauitare cu
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piunt ex ligno radici proximo, vel ex nodoſo facientes: lignum
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enim, quod radici proximum eſt, graue admodum eſt,
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quemadmodum etiam nodus; quia nodus eſt,
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quædam radix. </
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Atq;
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hæc eſt huius pri
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mæ quæſtionis paraphraſis.</
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