DelMonte, Guidubaldo, Le mechaniche

Table of figures

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    <archimedes>
      <text id="id.0.0.0.0.3">
        <body id="id.2.0.0.0.0">
          <chap id="N106DF">
            <pb xlink:href="037/01/066.jpg"/>
            <p id="id.2.1.432.0.0" type="main">
              <s id="id.2.1.432.1.0">
                <emph type="italics"/>
              Sia la bilancia AB egualmente diſtante dall'orizonte, il cui centro C ſia ſopra la bi
                <lb/>
              lancia, & il perpendicolo
                <lb/>
              CD a piombo dell' ori­
                <lb/>
              zonte, il quale da la par­
                <lb/>
              te D ſia allungato in H.
                <lb/>
              </s>
              <s id="id.2.1.432.2.0">Hor percioche conſidera
                <lb/>
              ta la grauezza della bi­
                <lb/>
              lancia, ſarà il punto D
                <lb/>
              il centro della grauezza
                <lb/>
              della bilancia. </s>
              <s id="id.2.1.432.3.0">ſe dunque
                <lb/>
              vn piccolo peſo ſarà po­
                <lb/>
              ſto nel B, il cui centro
                <lb/>
              della grauezza ſia nel
                <expan abbr="pũto">pun
                  <lb/>
                to</expan>
              B; gia piu non ſarà
                <lb/>
              il centro della grauezza
                <lb/>
              D della magnitudine
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note130"/>
                <emph type="italics"/>
              compoſta della bilancia
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.066.1.jpg" xlink:href="037/01/066/1.jpg" number="49"/>
                <lb/>
                <emph type="italics"/>
              AB, & del peſo poſto in B, ma ſarà nella linea DB, come in K: per modo
                <lb/>
              che DE ad EB ſia come il peſo poſto in B alla grauezza della bilancia AB.
                <lb/>
              </s>
              <s id="id.2.1.432.4.0">congiungaſi la CE. </s>
              <s id="id.2.1.432.5.0">& percioche il punto C è immobile, mentre la bilancia ſi
                <lb/>
              moue, il punto E deſcriuerà la circonferenza del cerchio EFG, il cui mezo dia­
                <lb/>
              metro è CE, & il centro C. </s>
              <s id="id.2.1.432.6.0">Ma perche CD ſtà a piombo dell' orizonte, la li
                <lb/>
              nea CE non ſarà gia ella à piombo dell' orizonte. </s>
              <s id="id.2.1.432.7.0">Per laqual coſa la grandez­
                <lb/>
              za composta di AB, & del peſo poſto in B non rimarrà in questo ſito; ma ſi
                <lb/>
              mouerà in giu ſecondo il centro E della ſua grauezza per la circonferenza EFG,
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note131"/>
                <emph type="italics"/>
              finche CE diuenti a piombo dell' orizonte, cioè finche la CE peruenga in CDF.
                <lb/>
              </s>
              <s id="id.2.1.432.8.0">& allhora la bilancia AB ſarà moſſa in KL, nel qual ſito la bilancia rimarrà
                <lb/>
              inſieme co'l peſo, ne d'auantaggio ſi mouerà in giù. </s>
              <s id="id.2.1.432.9.0">che ſe in B ſarà poſto vn peſo
                <lb/>
              piu graue, il centro'della grauezza di tutta la magnitudine ſarà piu dappreſſo al B,
                <lb/>
              come in M. </s>
              <s id="N12631">& allhora la bilancia ſi mouerà in giu, finche la congiunta linea CM
                <lb/>
              peruenga nella linea CDH. </s>
              <s id="id.2.1.432.10.0">Dal porſi dunque peſo maggiore ò minore in B, la
                <lb/>
              bilancia ſi inchinerà piu ò meno. </s>
              <s id="id.2.1.432.11.0">Da che ſegue che il peſo B deſcriuerà ſempre vna
                <lb/>
              circonferenza minore della quarta parte d'un cerchio, per eſſere l'angolo FCE ſem
                <lb/>
              pre acuto:ne il punto B peruenirà gia mai fin alla linea CH, percioche ſempre il
                <lb/>
              centro della grauezza del peſo, & dalla bilancia inſieme ſarà fra BD. </s>
              <s id="id.2.1.432.12.0">tuttauia
                <expan abbr="quãto">quan
                  <lb/>
                to</expan>
              ſarà il peſo poſto in B piu graue, deſcriuerà anche circonferenza maggiore, ve­
                <lb/>
              nendoſi per queſto il punto B ad accoſtare piu alla linea CH.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.434.0.0" type="margin">
              <s id="id.2.1.434.1.0">
                <margin.target id="note130"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              6.
                <emph type="italics"/>
              del primo. di. Arch. delle coſe
                <expan abbr="egualmẽte">egualmente</expan>
                <expan abbr="pesãti">pesanti</expan>
              .
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.435.0.0" type="margin">
              <s id="id.2.1.435.1.0">
                <margin.target id="note131"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              1.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.436.0.0" type="main">
              <s id="id.2.1.436.1.0">
                <emph type="italics"/>
              Mi habbia la bilancia AB il centro C nella iſteſſa bilancia, & nel ſuo mezo,
                <lb/>
              ſarà il C centro ancora della grauezza della bilancia, dal quale ſia tirata la li­
                <lb/>
              nea FCG a piombo di eſſa AB, & dell' orizonte. </s>
              <s id="id.2.1.436.2.0">Pongaſi dapoi in B qual
                <lb/>
              peſo ſi voglia; ſarà il centro di tutta la grauezza, come in E; ſi fattamente che
                <lb/>
              la CE verſo EB ſia come il peſo poſto in B alla grauezza della bilancia. </s>
              <s id="id.2.1.436.3.0">& per
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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