Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

Table of figures

< >
< >
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/203.jpg" pagenum="189"/>
              dio habet certam differentiam, vt in ignę
                <lb/>
              dixi exceſſum grauitatis aquæ ſupra grauita­
                <lb/>
              tem globi terreni ex igne & argillâ conflati
                <lb/>
              eſſe 89; in quocunque medio conſtituantur,
                <lb/>
              eundem habebit exceſſum. </s>
              <s>Sic in aëre gra­
                <lb/>
              uitas 3/4 argillæ & 1/4 ignis eſſet defectiua, vt re­
                <lb/>
              ctè Galilæus ratiocinabatur, videlicet——
                <lb/>
              67 2/3, & grauitas æqualis molis aquæ in aëre
                <lb/>
              eſſet poſitiua, nimirùm 21 1/3 (ducto 4 per
                <lb/>
              5 1/3) differentia autem, qua maior numerus
                <lb/>
              21 1/3 excedit minorem —— 67 2/3, eſt 89 planè
                <lb/>
              eadem ac prius. </s>
              <s>Satis igitur fuit in vno ali­
                <lb/>
              quo medio differentiam reperire, cùm illa
                <lb/>
              ſemper eadem maneat. </s>
              <s>Opportunius verò
                <lb/>
              accidit in medio omnium leuiſsimo, in quo
                <lb/>
              ignis ipſe globi molem componens nihil
                <lb/>
              grauitat, examen illud inſtituere, quia om­
                <lb/>
              nes partium grauitates poſitiuæ ſunt, nulla
                <lb/>
              defectiua. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note90"/>
                <emph type="italics"/>
              XC
                <lb/>
              Ratio
                <expan abbr="gra-uitatũ">gra­
                  <lb/>
                uitatum</expan>
              duo­
                <lb/>
              rum corpo­
                <lb/>
              rum in vno
                <lb/>
              medio, est
                <lb/>
              eadem iņ
                <lb/>
              omni medio.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Cæterùm non timui, ne terrenus globus
                <lb/>
              auolaret, quemadmodum ouorum putami­
                <lb/>
              na, vt aiunt, matutino rore impleta & meri­
                <lb/>
              diano Soli expoſita. </s>
              <s>Qui enim tres orbis qua­
                <lb/>
              drantes intrà aquam exiſtimat grauiores non
                <lb/>
              eſſe, quàm ſi ex merâ argilla conſtarent,
                <lb/>
              quia aqua illis permiſta nihil grauitat, & aër
                <lb/>
              valde leuitat, fortaſsè non item aſſerat tres </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>