DelMonte, Guidubaldo, Mechanicorvm Liber

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      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.25.2.0.0.0" type="main">
              <s id="id.2.1.25.2.1.8.0">
                <pb n="16" xlink:href="036/01/045.jpg"/>
              dus in A grauius eſſe, quàm in alio ſitu; rectumq; ponderis de­
                <lb/>
              ſcenſum per rectam lineam ipſi FG parallelam fieri debere; &
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              quælibet puncta in lineis horizonti æquidiſtantibus accepta æ­
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              qualiter à centro mundi diſtare: non tamen propterea ſequetur,
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              veram eſſe demonſtrationem, qua inferunt pondus in A grauius
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              eſſe, quàm in alio ſitu, vt in L. </s>
              <s id="N11341">ſi enim verum eſſet, quò pon
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              dus hoc modo rectius deſcendit, ibi grauius eſſe; ſequeretur etiam,
                <lb/>
              quò idem pondus in æqualibus arcubus æqualiter rectè deſcende
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              ret, vt in iiſdem locis æqualem haberet grauitatem, quod fal
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              ſum eſſe ita demonſtratur. </s>
            </p>
            <p id="id.2.1.26.1.0.0.0" type="margin">
              <s id="id.2.1.26.1.1.1.0">
                <margin.target id="note48"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              15
                <emph type="italics"/>
              Tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.26.1.1.2.0">
                <margin.target id="note49"/>
              18
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.27.1.0.0.0" type="main">
              <s id="id.2.1.27.1.1.1.0">Sint circumferentiæ AL AM inter ſe ſe æquales; & conne
                <lb/>
              ctatur LM, quæ AB ſecet in X: erit LM ipſi FG æquidiſtans,
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              ipſiq; AB perpendicularis. </s>
              <s id="id.2.1.27.1.1.2.0">& XM ipſi XL æqualis erit. </s>
              <s id="id.2.1.27.1.1.3.0">ſi igi
                <arrow.to.target n="note50"/>
                <lb/>
              tur pondus ex L moueatur in A per circumferentiam LA, rectus
                <lb/>
              eius motus erit ſecundùm lineam LX. </s>
              <s id="id.2.1.27.1.1.3.0.a">ſi verò moueatur ex A
                <lb/>
              in M per circumferentiam AM, ſecundùm rectam eius motus
                <lb/>
              erit XM. </s>
              <s id="id.2.1.27.1.1.3.0.b">quare deſcenſus ex L in A æqualis erit deſcenſui ex A
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              in M; tum ob circumferentias æquales, tum propter rectas li
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              neas ipſi AB perpendiculares æquales. </s>
              <s id="id.2.1.27.1.1.4.0">ergo idem pondus in L
                <lb/>
              æquè graue erit, vt in A, quod eſt falſum. </s>
              <s id="id.2.1.27.1.1.5.0">cum longé grauius ſit
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              in A, quàm in L. </s>
            </p>
            <p id="id.2.1.28.1.0.0.0" type="margin">
              <s id="id.2.1.28.1.1.1.0">
                <margin.target id="note50"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              3
                <emph type="italics"/>
              Tertii.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.29.1.0.0.0" type="main">
              <s id="id.2.1.29.1.1.1.0">Quamuis autem AMLA æqualiter ſecundùm ipſos de directo
                <lb/>
              capiant; dicent fortaſſe, quia tamen principium deſcenſus ex L
                <lb/>
              ſcilicet LD minus de directo capit, quàm principium deſcenſus
                <lb/>
              ex A, ſcilicet AN; pondus in A grauius erit, quàm in L. </s>
              <s id="id.2.1.29.1.1.1.0.a">nam
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              cùm circumferentia AN ſit ipſi LD (vt ſupra poſitum eſt)
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              æqualis, quæ ſecundùm ipſos de directo capit CT; LD verò
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              de directo capit PO. </s>
              <s id="id.2.1.29.1.1.1.0.b">ideo pondus grauius erit in A, quàm in L.
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              </s>
              <s id="id.2.1.29.1.1.1.0.c">quod ſi verum eſſet, ſequeretur idem pondus in eodem ſitu diuer
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              ſo duntaxat modo conſideratum in habitudine ad eundem ſitum,
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              tum grauius, tum leuius eſſe. </s>
              <s id="id.2.1.29.1.1.2.0">quod eſt impoſsibile. </s>
              <s id="id.2.1.29.1.1.3.0">hoc eſt, ſi
                <lb/>
              deſcenſum conſideremus ponderis in L, quatenus ex L in A de­
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              ſcendit, grauius erit, quàm ſi eiuſdem ponderis deſcenſum con­
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              ſideremus ex L in D tantùm. </s>
              <s id="id.2.1.29.1.1.4.0">neq; enim negare poſſunt ex eiſ­
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              demmet dictis, quin deſcenſus ponderis ex L in A de directo ca
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              piat LX, ſiue PC. </s>
              <s id="N113DB">deſcenſus verò AM, quin ſimiliter de directo </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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