DelMonte, Guidubaldo, Le mechaniche

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    <archimedes>
      <text id="id.0.0.0.0.3">
        <body id="id.2.0.0.0.0">
          <chap id="N106DF">
            <p id="id.2.1.203.0.0" type="main">
              <s id="id.2.1.203.24.0">
                <pb xlink:href="037/01/048.jpg"/>
                <emph type="italics"/>
              riſſime, raccolgono, & conchiudono coſe in tutto falſiſſime. </s>
              <s id="id.2.1.203.25.0">ſono oltre a ciò inganna­
                <lb/>
              ti, mentre pigliano a contemplare la bilancia ſemplicemente per via di matematica,
                <lb/>
              eſſendo la conſideratione ſua mechanica affatto, ne di lei ſi poſſa ragionare a modo al
                <lb/>
              cuno ſenza il vero mouimento, & ſenza i peſi, che ſono in tutto coſe naturali, ſen­
                <lb/>
              za le quali non ſi poſſono ritrouare per niuna maniera le vere cagioni di quelle coſe,
                <lb/>
              che accadono alla bilancia.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.205.0.0" type="margin">
              <s id="id.2.1.205.1.0">
                <margin.target id="note48"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              27.
                <emph type="italics"/>
              del terzo
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.206.0.0" type="margin">
              <s id="id.2.1.206.1.0">
                <margin.target id="note49"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              32.
                <emph type="italics"/>
              del primo
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.207.0.0" type="margin">
              <s id="id.2.1.207.1.0">
                <margin.target id="note50"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              26.
                <emph type="italics"/>
              del primo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.208.0.0" type="margin">
              <s id="id.2.1.208.1.0">
                <margin.target id="note51"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              13.
                <emph type="italics"/>
              del primo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.209.0.0" type="margin">
              <s id="id.2.1.209.1.0">
                <margin.target id="note52"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              19.
                <emph type="italics"/>
              del primo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.210.0.0" type="margin">
              <s id="id.2.1.210.1.0">
                <margin.target id="note53"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              47.
                <emph type="italics"/>
              del primo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.211.0.0" type="main">
              <s id="id.2.1.211.1.0">
                <emph type="italics"/>
              Oltre a ciò ſe anche con
                <lb/>
              cederemo la preſup­
                <lb/>
              poſta, ſi partono tut
                <lb/>
              tauia molto
                <expan abbr="lũge">lunge</expan>
              dal
                <lb/>
              la
                <expan abbr="cõſideratione">conſideratione</expan>
              della
                <lb/>
              bilancia, mentre di­
                <lb/>
              ſcorrono; che in quel
                <lb/>
              la maniera debba la
                <lb/>
              bilancia DE ritor­
                <lb/>
              nare in AB: percio
                <lb/>
              che ſempre pigliano
                <lb/>
              vn di due peſi ſepara
                <lb/>
              tamente come D,
                <lb/>
              ouero E, come ſe hor
                <lb/>
              l'uno, hor l'altro foſ
                <lb/>
              ſe poſto nella bilan­
                <lb/>
              cia, non congiunti in
                <lb/>
              ſieme ambidue in
                <lb/>
              modo veruno, eſſen­
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.048.1.jpg" xlink:href="037/01/048/1.jpg" number="30"/>
                <lb/>
                <emph type="italics"/>
              doche nondimeno biſogni fare tutto all'oppoſito di ciò, ne ſi puote conſiderare dirit­
                <lb/>
              tamente l'uno ſenza l'altro, eſſendoche ſi ragiona di loro nella bilancia collocati.
                <lb/>
              </s>
              <s id="id.2.1.211.2.0">Concioſia che quando dicono la diſceſa del peſo poſto in D eſſere meno torta, che
                <lb/>
              la diſceſa del peſo poſto in E, coſi ſarà il peſo in D, per la preſuppoſta, piu graue
                <lb/>
              del peſo poſto in E; onde per eſſere piu graue, eglie neceſſario, che ſi moua in giu,
                <lb/>
              & che la bilancia DE ritorni in AB: Coteſto diſcorſo non è di momento alcu­
                <lb/>
              no. </s>
              <s id="id.2.1.211.3.0">Primieramente ſempre argomentano come ſe i peſi in DE debbano ſcende­
                <lb/>
              re, conſiderando la ſceſa di vno ſolamente ſenza la compagnia, & congiungimen­
                <lb/>
              to dell'altro. </s>
              <s id="id.2.1.211.4.0">Vltimamente nondimeno eſſi per la comparatione delle diſceſe de'pe­
                <lb/>
              ſi conchiudono il peſo posto in D mouerſi in giu, & il poſto in E in ſu, prenden­
                <lb/>
              do l'uno, & l'altro peſo congiunti inſieme fra loro nella bilancia. </s>
              <s id="id.2.1.211.5.0">Ma da ſuoi me­
                <lb/>
              deſimi principij, i quali vſano, & dalle ſue dimoſtrationi ſi puote cauare ageuoliſſi­
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note54"/>
                <emph type="italics"/>
              mamente l'oppoſito di quel che ſi faticano di difendere. </s>
              <s id="id.2.1.211.6.0">Imperoche ſe ſi paragona
                <lb/>
              la diſceſa del peſo poſto in D con la ſalita del peſo poſto in E, come tirate le'linee
                <lb/>
              E
                <emph.end type="italics"/>
              K
                <emph type="italics"/>
              DH a piombo di AB, eſſendo l'angolo DCH eguale all'angolo ECK,
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note55"/>
                <emph type="italics"/>
              & l'angolo DHC retto eguale al retto E
                <emph.end type="italics"/>
              K
                <emph type="italics"/>
              C, & il lato DC eguale al lato
                <lb/>
              CE; ſarà il triangolo CDH eguale al triangolo CEK, & il lato DH egua
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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