Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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            <p type="main">
              <s id="s.002650">
                <pb pagenum="154" xlink:href="009/01/154.jpg"/>
              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.</s>
            </p>
            <p type="main">
              <s id="s.002651">His igitur tanquam huius Mechanicæ facultatis principijs poſitis, ad va­
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              rias Quæſtiones diſcutiendas accedit.</s>
            </p>
            <p type="head">
              <s id="s.002652">
                <emph type="italics"/>
              QVÆSTIO PRIMA
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="head">
              <s id="s.002653">
                <emph type="italics"/>
              De Libra.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002654">
                <arrow.to.target n="marg232"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002655">
                <margin.target id="marg232"/>
              242</s>
            </p>
            <p type="main">
              <s id="s.002656">Cvr autem maiores libræ minoribus ſint exactiores, palàm eſt ex
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              præmiſſis principijs. </s>
              <s id="s.002657">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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                <figure id="id.009.01.154.1.jpg" place="text" xlink:href="009/01/154/1.jpg" number="82"/>
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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. </s>
              <s id="s.002658">In
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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. </s>
              <s id="s.002659">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
                <expan abbr="locũ">locum</expan>
              D E, ergò com­
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              mota eſt per arcum B E, vel A D. </s>
              <s id="s.002660">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,
                <expan abbr="atq;">atque</expan>
              hoc eſt, quòd maiores libras exactiores facit. </s>
              <s id="s.002661">
                <expan abbr="hincq́">hincque</expan>
              ; 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. </s>
              <s id="s.002662">quædam verò benè, & in magnis,
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              & in paruis apparent, ſed tamen ſemper melius in magnis ob dictam ratio­
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              nem. </s>
              <s id="s.002663">Quamobrem machinantur ij, qui purpuram vendunt, vt pendendo
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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
                <expan abbr="plumbũ">plumbum</expan>
              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. </s>
              <s id="s.002664">
                <expan abbr="Atq;">Atque</expan>
              hæc eſt huius pri­
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              mæ quæſtionis paraphraſis.</s>
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