DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N16391">
            <p id="id.2.1.223.11.0.0.0" type="main">
              <s id="id.2.1.223.11.1.5.0.a">
                <pb n="108" xlink:href="036/01/229.jpg"/>
              diametrum tympani vnà cum ſcytala DF. </s>
              <s id="id.2.1.223.11.1.5.0.b">Similiter etiam oſten­
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              detur, ſi potentia pondus ſuſtinens fuerit in q. </s>
              <s id="N16445">tunc enim ſuſti­
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              neret vecte CQ; & ad pondus eam haberet proportionem, quam
                <arrow.to.target n="note309"/>
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              habet CB ad Cq. </s>
              <s id="N1644E">Videlicet ſemidiameter axis ad ſemidiame­
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              trum tympani vná cum ſcytala Eq. </s>
              <s id="N16452">quod demonſtrare opor­
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              tebat. </s>
            </p>
            <p id="id.2.1.224.1.0.0.0" type="margin">
              <s id="id.2.1.224.1.1.1.0">
                <margin.target id="note307"/>
              6.
                <emph type="italics"/>
              Primi Archim. de æquepon.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.224.1.1.3.0">
                <margin.target id="note308"/>
                <emph type="italics"/>
              Cor.
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.224.1.1.4.0">
                <margin.target id="note309"/>
              2
                <emph type="italics"/>
                <expan abbr="Huuius">Huius</expan>
              . de vecte.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.225.1.0.0.0" type="head">
              <s id="id.2.1.225.1.1.1.0">COROLLARIVM. </s>
            </p>
            <p id="id.2.1.225.2.0.0.0" type="main">
              <s id="id.2.1.225.2.1.1.0">Manifeſtum eſt potentiam ſemper minorem
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              eſſe pondere. </s>
            </p>
            <p id="id.2.1.225.3.0.0.0" type="main">
              <s id="id.2.1.225.3.1.1.0">Semidiameter enim axis ſemper ſemidiametro tympani mi­
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              nor eſt. </s>
              <s id="id.2.1.225.3.1.2.0">& potentia eò minor eſt pondere, quò ſemidiameter axis
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              minor eſt ſemidiametro tympani vná cum ſcytala. </s>
              <s id="id.2.1.225.3.1.3.0">quare quò lon
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              gior eſt CF, vel CQ; & quò breuior eſt CB, minor adhuc ſem
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              per potentia in F, vel in Q pondus k ſuſtinebit. </s>
              <s id="id.2.1.225.3.1.4.0">quò enim minor
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              eſt CB, eò minorem habebit proportionem ſemidiameter axis
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              ad ſemidiametrum tympani vná cum ſcytala. </s>
            </p>
            <p id="id.2.1.225.4.0.0.0" type="main">
              <s id="id.2.1.225.4.1.1.0">Hoc autem loco conſiderandum occurrit, quòd ſi in alia ſcyta­
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              la appendatur pondus, vt in T, ſuſtinens pondus k; it a nempè, vt
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              pondus in T appenſum, pondusq; k circa axem conſtitutum
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              maneant; erit pondus in T grauius pondere M in F appenſo. </s>
              <s id="id.2.1.225.4.1.2.0">
                <lb/>
              iungatur enim TB, & à puncto C horizonti perpendicularis du­
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              catur CI, quæ lineam TB ſecet in I; tandemq; connectatur
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              TC, quæ æqualis erit CF. </s>
              <s id="id.2.1.225.4.1.2.0.a">Quoniam autem pondera appenſa
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              ſunt in TB, perindè ſe ſe habebunt, ac ſi in punctis TB ipſorum
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              centra grauitatum haberent; vt antea dictum eſt. </s>
              <s id="id.2.1.225.4.1.3.0">& quia ma­
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              nent, erit punctum I (ex prima huius de libra) amborum ſimul
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              grauitatis centrum; cùm ſit CI horizonti perpendicularis. </s>
              <s id="id.2.1.225.4.1.4.0">ſed
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              quoniam angulus BCI eſt rectus, erit BIC acutus, lineaq; BI
                <arrow.to.target n="note310"/>
                <lb/>
              ipſa BC maior erit. </s>
              <s id="id.2.1.225.4.1.5.0">quare angulus CIT erit obtuſus; atq;
                <arrow.to.target n="note311"/>
                <lb/>
              ideo linea CT ipſa TI maior erit. </s>
              <s id="id.2.1.225.4.1.6.0">Cùm autem CT maior ſit
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              TI, & IB maior BC; maiorem habebit proportionem TC ad
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              CB, quàm TI ad IB; & conuertendo, minorem habebit pro­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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