DelMonte, Guidubaldo, Le mechaniche

Table of figures

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        <body id="id.2.0.0.0.0">
          <chap id="N13354">
            <pb xlink:href="037/01/090.jpg"/>
            <p id="id.2.1.368.0.0" type="main">
              <s id="id.2.1.368.1.0">
                <emph type="italics"/>
              Sia la leua AB, il cui ſoſtegno ſia B. </s>
              <s id="N1372E">& ſia il peſo C appiccato al punto A,
                <lb/>
              & ſia la poſſanza in D, comunque ſi voglia tra AB, ſoſtenente il peſo C. </s>
              <s id="id.2.1.368.2.0">Di­
                <lb/>
              co che come AB à BD, coſi è la poſſanza in D al peſo C. </s>
              <s id="id.2.1.368.3.0">Appicchiſi al
                <lb/>
              punto D il peſo E eguale à C; & come BD à BA, coſi facciaſi il peſo
                <lb/>
              E ad vn'altro peſo, come F: & per eſſere i peſi CE tra loro eguali, ſarà an­
                <lb/>
              co il peſo C al
                <lb/>
              peſo F, come
                <lb/>
              BD à BA.
                <lb/>
              </s>
              <s id="id.2.1.368.4.0">Appicchiſi ſimil
                <lb/>
              mente il peſo F
                <lb/>
              in D. </s>
              <s id="N1374C">& per­
                <lb/>
              che il peſo E ad
                <lb/>
              F è come la gra
                <lb/>
              uezza del peſo
                <lb/>
              E alla grauez­
                <lb/>
              za del peſo F;
                <lb/>
              & il peſo E al
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.090.1.jpg" xlink:href="037/01/090/1.jpg" number="84"/>
                <lb/>
                <arrow.to.target n="note112"/>
                <emph type="italics"/>
              peſo F è come BD à BA. </s>
              <s id="id.2.1.368.5.0">Come dunque la grauezza del peſo E alla gra­
                <lb/>
              uezza del peſo F, coſi è BD à BA. </s>
              <s id="id.2.1.368.6.0">Ma come BD à BA, coſi è la gra­
                <lb/>
              uezza del peſo E alla grauezza del peſo C. </s>
              <s id="id.2.1.368.7.0">Per laqual coſa la grauezza del
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note113"/>
                <emph type="italics"/>
              peſo E alla grauezza del peſo F ha la proportione medeſima, che ha alla gra­
                <lb/>
              uezza del peſo C. </s>
              <s id="id.2.1.368.8.0">i peſi dunque CF hanno la grauezza medeſma. </s>
              <s id="id.2.1.368.9.0">Sia dunque
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note114"/>
                <emph type="italics"/>
              la poſſanza in D ſoſtenente il peſo F, che verrà ad eſſere la detta poſſanza in
                <lb/>
              D eguale al peſo F. </s>
              <s id="N13792">& percioche il peſo F posto in D è graue egualmente
                <lb/>
              come il peſo C poſto in A; haurà la poſſanza in D la proportione medeſima
                <lb/>
              verſo la grauezza del peſo F, che ha alla grauezza del peſo C. </s>
              <s id="id.2.1.368.10.0">Ma la poſſanza
                <lb/>
              in D ſoſtiene il peſo F, dunque la poſſanza in D ſoſtenterà anco il peſo C; &
                <lb/>
              il peſo C alla poſſanza in D ſarà coſi come il peſo C al peſo F; & C ad F
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note115"/>
                <emph type="italics"/>
              è come BD à BA, ſarà dunque il peſo C alla poſſanza in D, come BD à
                <lb/>
              BA: & conuertendo come AB à BD, coſi la poſſanza in D al peſo C. </s>
              <s id="id.2.1.368.11.0">La
                <lb/>
              poſſanza dunque al peſo, è come la diſtanza dal ſostegno allo appiccamento del pe­
                <lb/>
              ſo alla distanza dal ſoſtegno alla poſſanza. </s>
              <s id="id.2.1.368.12.0">che biſognaua mostrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.370.0.0" type="margin">
              <s id="id.2.1.370.1.0">
                <margin.target id="note112"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              6.
                <emph type="italics"/>
              di questo della bilancia.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.371.0.0" type="margin">
              <s id="id.2.1.371.1.0">
                <margin.target id="note113"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              6.
                <emph type="italics"/>
              di questo della bilancia.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.372.0.0" type="margin">
              <s id="id.2.1.372.1.0">
                <margin.target id="note114"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              9.
                <emph type="italics"/>
              del quinto.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.373.0.0" type="margin">
              <s id="id.2.1.373.1.0">
                <margin.target id="note115"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              7.
                <emph type="italics"/>
              del quinto.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.374.0.0" type="head">
              <s id="id.2.1.374.1.0">Altramente. </s>
            </p>
            <p id="id.2.1.375.0.0" type="main">
              <s id="id.2.1.375.1.0">
                <emph type="italics"/>
              Sia la leua AB, il cui ſoſtegno ſia B. </s>
              <s id="N1380C">& dal punto A ſia fatto pendente il peſo
                <lb/>
              C, & ſia la poſſanza in D ſoſtenente il peſo C. </s>
              <s id="id.2.1.375.2.0">Dico, che come AB à BD,
                <lb/>
              coſi è la poſſanza in D al peſo C. </s>
              <s id="id.2.1.375.3.0">allunghiſila AB in E, & facciaſi BE egua­
                <lb/>
              le à BA, & al punto E ſia appiccato il peſo F eguale al peſo C; & come BD à
                <lb/>
              BE coſi facciaſi il peſo F ad vn'altro peſo G, ilquale ſia appiccato al punto D,
                <lb/>
              i peſi FG peſeranno egualmente. </s>
              <s id="id.2.1.375.4.0">& percioche AB è eguale à BE, & i peſi
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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