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

List of thumbnails

< >
221
221 		222
222
223
223 		224
224
225
225 		226
226
227
227 		228
228
229
229 		230
230
< >
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/229.jpg" pagenum="215"/>
              OM ſit Z planum. </s>
              <s>lgitur aqua CDEF eſt
                <lb/>
              D plan. in R; & aqua OMRS eſt Z plan; iņ
                <lb/>
              S. </s>
              <s>Quare cum ſit Z plan. in S ad D plan. in R,
                <lb/>
              vt R ad S. erit per 16. 6. vel 19. 7. Z pl. </s>
              <s>in S.
                <lb/>
              quadr. </s>
              <s>æquale D plano in R quadratum: ‘er­
                <lb/>
              go Z planum ad D planum, hoc eſt ſuperfi­
                <lb/>
              cies OM ad ſuperficiem CD, eſt vt R qua­
                <lb/>
              dratum ad S quadratum: ſunt igitur ſuperfi­
                <lb/>
              cies aquarum in duplicatâ Ratione altitudi­
                <lb/>
              num AG ad KN. </s>
              <s>At in Ratione AG ad KN
                <lb/>
              eſt ſuperficies vaſis maioris ad ſuperficiem̨
                <lb/>
              minoris, ergo ſuperficies OM ad ſuperficiem
                <lb/>
              CD eſt in duplicatâ Ratione ſuperficiei vaſis
                <lb/>
              maioris ad ſuperficiem minoris. </s>
            </p>
            <p type="main">
              <s>Datis itaque vaſis ſimilibus inæqualibus,
                <lb/>
              & datâ Ratione ſuperficierum huiuſmodi va­
                <lb/>
              ſorum, poterimus reperire ſuperficiem ſoli­
                <lb/>
              di VY aut HT; quæ ex vaſorum ſuperficie­
                <lb/>
                <arrow.to.target n="note100"/>
                <lb/>
              bus dempta reliquam aquæ ſuperficiem relin­
                <lb/>
              quat in duplicatâ Ratione ſuperficierum va­
                <lb/>
              ſorum. </s>
              <s>Cum enim ſolidorum ſuperficies HT,
                <lb/>
              VY habeant Rationem æqualitatis, maior eſt
                <lb/>
              Ratio totius ſuperficiei vaſis maioris ad totam
                <lb/>
              ſuperficiem minoris, quàm ablatæ VY ad
                <lb/>
              ablatam HT, ergo per 33 5. apud Clau. ma­
                <lb/>
              ior eſt Ratio reliquæ OM ad reliquam CD,
                <lb/>
              quàm totius ad totam: quare poteſt etiam̨
                <lb/>
              haberi Ratio duplicata Rationis totius ad to­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum