Angeli, Stefano degli, Della gravita' dell' aria e fluidi : esercitata principalmente nelli loro homogenei

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          <pb o="48" file="00054" n="54" rhead="DIALOGO"/>
          <p>
            <s xml:id="echoid-s1663" xml:space="preserve">_Ofred._ </s>
            <s xml:id="echoid-s1664" xml:space="preserve">In gratia eſemplifi chi queſta dottrina.</s>
            <s xml:id="echoid-s1665" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1666" xml:space="preserve">_Matem._ </s>
            <s xml:id="echoid-s1667" xml:space="preserve">L’eſemplificarò in vna pezza di formaggio Piacenti-
              <lb/>
            no,</s>
          </p>
          <p>
            <s xml:id="echoid-s1668" xml:space="preserve">_Ofred._ </s>
            <s xml:id="echoid-s1669" xml:space="preserve">Eſempio non ſpiaceuole,</s>
          </p>
          <p>
            <s xml:id="echoid-s1670" xml:space="preserve">_Matem._ </s>
            <s xml:id="echoid-s1671" xml:space="preserve">La quale è terminata da due piani paralleli, che ſono
              <lb/>
            due circoli, quali ſupponga che ſiano perſetti. </s>
            <s xml:id="echoid-s1672" xml:space="preserve">Chi s’imagi-
              <lb/>
            narà vna linea, che congiunga li centri di queſti piani, il ſuo
              <lb/>
            punto di mezzo ſarà il cẽtro della figura del corpo; </s>
            <s xml:id="echoid-s1673" xml:space="preserve">e queſto
              <lb/>
            farà anco il centro di grauità, ogni qual volta il corpo del
              <lb/>
            formaggio ſia eguale da per tutto, & </s>
            <s xml:id="echoid-s1674" xml:space="preserve">vniforme. </s>
            <s xml:id="echoid-s1675" xml:space="preserve">Ma ſe foſ-
              <lb/>
            ſe, ò ineguale, ò diforme; </s>
            <s xml:id="echoid-s1676" xml:space="preserve">cioè v. </s>
            <s xml:id="echoid-s1677" xml:space="preserve">g. </s>
            <s xml:id="echoid-s1678" xml:space="preserve">in vna parte più denſo,
              <lb/>
            che nell’altra, all’hora non ſarebbe il centro della grauità;
              <lb/>
            </s>
            <s xml:id="echoid-s1679" xml:space="preserve">perche chi lo conſideraſſe diuiſo con vn piano perpendico-
              <lb/>
            lare alli due circoli oppoſti, che paſſaſſe per li loro centri, c
              <lb/>
            per quello dellafigura, lo diuiderebbe bene in due parti egua-
              <lb/>
            li, ma non di momenti eguali, ma ineguali; </s>
            <s xml:id="echoid-s1680" xml:space="preserve">perche hauereb-
              <lb/>
            be maggior momento Ia parte più denſa. </s>
            <s xml:id="echoid-s1681" xml:space="preserve">Il centro adunque
              <lb/>
            di grauità ſarebbe collocato in tal ſito, che diuiſo queſto
              <lb/>
            corpo con il piano perpendicolare alle baſi oppoſte, che paſ-
              <lb/>
            ſaſse per eſſo, lo diuideſse in due parti ineguali di mole, & </s>
            <s xml:id="echoid-s1682" xml:space="preserve">
              <lb/>
            eguali in momento.</s>
            <s xml:id="echoid-s1683" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1684" xml:space="preserve">_Ofred._ </s>
            <s xml:id="echoid-s1685" xml:space="preserve">Ho inteſo à ſufficienza.</s>
            <s xml:id="echoid-s1686" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1687" xml:space="preserve">_Matem._ </s>
            <s xml:id="echoid-s1688" xml:space="preserve">Supponiamo queſto formaggio collocato nell’acqua
              <lb/>
            con vno delli ſuoi circoli orizontalmente, e ſupponiamo
              <lb/>
            che l’acqua ſia corpo homogeneiſſimo, e reſiſtente egual-
              <lb/>
            mente, ſecondo tutte le ſue parti. </s>
            <s xml:id="echoid-s1689" xml:space="preserve">Già V. </s>
            <s xml:id="echoid-s1690" xml:space="preserve">S. </s>
            <s xml:id="echoid-s1691" xml:space="preserve">sà, che deſcen-
              <lb/>
            dendo il formaggio preme ſopra l’acqua, e la fà ſalire, al
              <lb/>
            qual ſalimento contraſta queſta con la ſua grauità. </s>
            <s xml:id="echoid-s1692" xml:space="preserve">E perche
              <lb/>
            la ſupponiamo corpo homogeneo, à parti di formaggio di
              <lb/>
            mole eguali, corriſpondono eguali contraſtamenti di moli
              <lb/>
            d’acqua pur eguali.</s>
            <s xml:id="echoid-s1693" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1694" xml:space="preserve">_Ofred._ </s>
            <s xml:id="echoid-s1695" xml:space="preserve">Così certo biſogna che ſia.</s>
            <s xml:id="echoid-s1696" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1697" xml:space="preserve">_Matem._ </s>
            <s xml:id="echoid-s1698" xml:space="preserve">Hora ſupponiamo che il formaggio ſia anch’ eſso cor-
              <lb/>
            po homogeneo, ſiche il centro della figura ſia il medemo
              <lb/>
            con quello della grauità; </s>
            <s xml:id="echoid-s1699" xml:space="preserve">all’hora ſe mantenirà parallelo a
              <lb/>
            ſe ſteſso ſino al fine della diſceſa; </s>
            <s xml:id="echoid-s1700" xml:space="preserve">perche regolando la diſce-
              <lb/>
            ſa il centro della grauità, & </s>
            <s xml:id="echoid-s1701" xml:space="preserve">in tal caſo, della figura inſieme;
              <lb/>
            </s>
            <s xml:id="echoid-s1702" xml:space="preserve">con parti eguali di mole, e di momenti eguali di eſso, </s>
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