DelMonte, Guidubaldo, Mechanicorvm Liber

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      <text>
        <body>
          <chap id="N128CF">
            <p id="id.2.1.99.2.0.0.0" type="main">
              <s id="id.2.1.99.2.1.2.0.d">
                <pb n="51" xlink:href="036/01/115.jpg"/>
              ſuſtinendo requiri potentiam. </s>
            </p>
            <p id="id.2.1.100.1.0.0.0" type="margin">
              <s id="id.2.1.100.1.1.1.0">
                <margin.target id="note162"/>
              6
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.100.1.1.2.0">
                <margin.target id="note163"/>
              8
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.100.1.1.3.0">
                <margin.target id="note164"/>
              5
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.100.1.1.4.0">
                <margin.target id="note165"/>
              10
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.100.1.1.5.0">
                <margin.target id="note166"/>
              6
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.101.1.0.0.0" type="main">
              <s id="id.2.1.101.1.1.1.0">Hinc quoq; vt ſupra patet pontentiam in A ad potentiam in E eſ
                <lb/>
              ſe, vt BL ad BM; potentiamq; in A ad potentiam in O, vt BL
                <lb/>
              ad BS. </s>
              <s id="id.2.1.101.1.1.1.0.a">atque potentiam in E ad potentiam in O, vt BM
                <lb/>
              ad BS. </s>
            </p>
            <p id="id.2.1.101.2.0.0.0" type="main">
              <s id="id.2.1.101.2.1.1.0">Præterea ſi in B alia intelligatur potentia, ita vt duæ ſint poten
                <lb/>
              tiæ pondus ſuſtinentes; minor erit potentia in B ſuſtinens pon­
                <lb/>
              dus PQ vecte BO, quàm pondus CD vecte BA aduerſo au
                <lb/>
              tem maior requiritur potentia in B ad ſuſtinendum pondus FG ve
                <lb/>
              cte BE, quàm pondus CD vecte AB. </s>
              <s id="N1352F">ducta enim kN ipſi EB
                <lb/>
              perpendicularis, erit EN ipſi AL æqualis: quare EM ipſa LA
                <lb/>
              maior erit. </s>
              <s id="id.2.1.101.2.1.2.0">ergo maiorem habebit proportionem EM ad E
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ,
                <arrow.to.target n="note167"/>
                <lb/>
              quàm LA ad A
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ; & LA ad A
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              maiorem, quàm SO ad O
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ;
                <arrow.to.target n="note168"/>
                <lb/>
              quæ ſunt proportiones potentiæ ad pondus. </s>
            </p>
            <p id="id.2.1.102.1.0.0.0" type="margin">
              <s id="id.2.1.102.1.1.1.0">
                <margin.target id="note167"/>
              8
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.102.1.1.2.0">
                <margin.target id="note168"/>
              5
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.103.1.0.0.0" type="main">
              <s id="id.2.1.103.1.1.1.0">Similiter oſtendetur potentiam in
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              pondus vecte A
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ſuſti­
                <lb/>
              nentem ad potentiam in eodem puncto
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              vecte E
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ſuſtinentem
                <lb/>
              eſſe, vt LA ad EM; ad potentiam autem in B pondus vecte O
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
                <lb/>
              ſuſtinentem ita eſſe, vt AL ad OS. </s>
              <s id="N1359A">quæ verò vectibus E
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              OB
                <lb/>
              ſuſtinent inter ſe ſe eſſe, vt EM ad OS. </s>
            </p>
            <p id="id.2.1.103.2.0.0.0" type="main">
              <s id="id.2.1.103.2.1.1.0">Deinde vt in iis, quæ ſuperius dicta ſunt, demonſtrabimus po­
                <lb/>
              tentiam in
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ad potentiam in E eam habere proportionem, quam
                <arrow.to.target n="note169"/>
                <lb/>
              EM ad M
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ; & potentiam in
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ad potentiam in A ita eſſe, vt AL ad
                <arrow.to.target n="note170"/>
                <lb/>
              L
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              , potentiamq; in
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ad potentiam in O, vt OS ad S
                <emph type="italics"/>
              B.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.104.1.0.0.0" type="margin">
              <s id="id.2.1.104.1.1.1.0">
                <margin.target id="note169"/>
              3
                <emph type="italics"/>
              Cor.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.104.1.1.2.0">
                <margin.target id="note170"/>
              2
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.105.1.0.0.0" type="main">
              <s id="id.2.1.105.1.1.1.0">Sit autem vectis A
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
                <lb/>
              horizonti æquidiſtans,
                <lb/>
              cuius fulcimentum
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ,
                <lb/>
              grauitatiſq; centrum H
                <lb/>
              ponderis AC ſit ſupra
                <lb/>
              vectem: moueaturq; ve
                <lb/>
              ctis in
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              E, ac pondus
                <lb/>
              in EF, potentiaq; in G.
                <lb/>
              </s>
              <s id="N13616">ſimiliter vt ſupra oſten­
                <lb/>
              detur potentiam in G
                <lb/>
              pondus EF
                <expan abbr="ſuiſtinen">sustinen</expan>
              ­
                <lb/>
                <figure id="id.036.01.115.1.jpg" place="text" xlink:href="036/01/115/1.jpg" number="106"/>
                <lb/>
              tem minorem eſſe potentia in D pondus AC ſuſtinente. </s>
              <s id="id.2.1.105.1.1.2.0">cùm </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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