Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.003114">
                <pb pagenum="184" xlink:href="009/01/184.jpg"/>
              ſtris ſtateris æquipondium totam haſtam percurrere; in illis verò manentè
                <lb/>
              æquipondio trutinam quodammodo per haſtam moueri.</s>
            </p>
            <p type="main">
              <s id="s.003115">His præmiſſis ad textus paraphraſim veniamus.</s>
            </p>
            <p type="main">
              <s id="s.003116">Cur ſtatera, qua carnes ponderantur, paruo appendiculo magna truti­
                <lb/>
              nat onera, cum alioquin tota ſtatera nihil aliud ſit, quàm dimidiata libra,
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              vbi enim onus mercis imponitur vna lanx pendet, quam vnicam ſtatera ha­
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              bet; in altera autem parte, vbi libra habet alteram lancem, ſtatera nullam
                <lb/>
              habet, ſed ſola ſine lance eſt. </s>
              <s id="s.003117">Cauſa igitur eſt, quia ſtatera ſimul, & libra eſt,
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              & vectis. </s>
              <s id="s.003118">libra eſt, quia ſpartorum, ſiue trutinarum quælibet fit veluti cen­
                <lb/>
              trum libræ,
                <expan abbr="inq́">inque</expan>
              ; altera parte eſt lanx; in altera verò loco lancis ipſum æqui­
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              pondium, quod libræ incumbit,
                <expan abbr="fungiturq́">fungiturque</expan>
              ; vice alterius lancis, cui ſit onus
                <lb/>
              impoſitum; manifeſtum enim eſt, quod æquipondium ſtateræ tantumdem
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              trahit oneris, quantum eſt illud, quod in altera lance eſt. </s>
              <s id="s.003119">eapropter ſtatera
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              quodammodo tot libras in ſe continet, quot trutinas: quarum vna quæque
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              cum ſit intra appendiculum, & lancem, apta eſt eſſe medium, ſeu centrum
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              ſtateræ,
                <expan abbr="atq;">atque</expan>
              adeo etiam libræ; quæ vnam quidem lancem habeat ex vna
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              parte, ex altera verò pro lance æquipondium. </s>
              <s id="s.003120">ſtatera verò dicitur, quate­
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              nus ex vna parte habet non lancem, ſed perpendiculum. </s>
              <s id="s.003121">ſed hoc nihil eſt
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              aliud quàm eſſe plures in vna libras; Cur autem ſparta, quæ lanci, ſiue ap­
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              penſo oneri proximiora ſunt, maiora ſubleuent onera, cauſa eſt vectis natu­
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              ra, quæ ſtateræ ineſt. </s>
              <s id="s.003122">eſt enim ſtatera vectis, quamuis quodammodo inuer­
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              ſus, eſt enim ipſius fulcimentum trutina ipſa ſupernè collocata, pondus ve­
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              rò leuandum eſt ipſa merx, potentia verò appendiculum. </s>
              <s id="s.003123">quantò autem pro­
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              ductior fuerit pars vectis à fulcimento ad potentiam, tanto facilius poten­
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              tia mouet, vt in præſentia accidit. </s>
              <s id="s.003124">mouet autem
                <expan abbr="vſq;">vſque</expan>
              ad æquilibrium;
                <expan abbr="hocq́">hocque</expan>
              ;
                <lb/>
              modo pars illa productior ſtateræ, quæ vergit ad æquipondium, facit, vt
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              onus ſtateræ impoſitum facilè trutinetur.</s>
            </p>
            <p type="head">
              <s id="s.003125">
                <emph type="italics"/>
              QVÆSTIO XXI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="head">
              <s id="s.003126">
                <emph type="italics"/>
              De Dentiforcipe.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.003127">
                <arrow.to.target n="marg250"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.003128">
                <margin.target id="marg250"/>
              260</s>
            </p>
            <p type="main">
              <s id="s.003129">Cvr Medici facilius dentes extrahunt dentiforcipis onere adiecto,
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              quàm ſi ſola manu vtantur? </s>
              <s id="s.003130">fortè, quia ex manu facilius dens ela­
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              bitur propter ſui ipſius lubricitatem, quàm ex forcipe. </s>
              <s id="s.003131">Vel etiam,
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              quia digiti propter carnis mollitiem cedentem nequeunt dentem
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              firmiter circumplecti; ferrum verò, cum vndique durum æque ſit, nec ce­
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              dens, melius dentem comprehendit. </s>
              <s id="s.003132">Aut tandem, quia forceps hæc duos
                <lb/>
              in ſe continet contrarios vectes; quorum, vnum tantum eſt hypomoclion,
                <lb/>
                <figure id="id.009.01.184.1.jpg" place="text" xlink:href="009/01/184/1.jpg" number="109"/>
                <lb/>
              eorum ſcilicet connexio; Virtute igitur
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              vectis arctius dentem perſtringunt,
                <expan abbr="atq;">atque</expan>
                <lb/>
              adeò obtinent,
                <expan abbr="atq;">atque</expan>
              hinc etiam facilius
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              commouent. </s>
              <s id="s.003133">ſit dentiforcipis figura, ex­
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              poſita, cuius alterum extremum, vbi ſunt
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              A, B, eſt illud, quod binis ſemicirculis
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              concurrentibus dentem arctè
                <expan abbr="cõſtringit">conſtringit</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>