Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

List of thumbnails

< >
91
91 (43) 		92
92 (44)
93
93 (45) 		94
94 (46)
95
95 (47) 		96
96 (48)
97
97 		98
98
99
99 		100
100 (49)
< >
page |< < (45) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div336" type="section" level="1" n="115">
          <p>
            <s xml:id="echoid-s2075" xml:space="preserve">
              <pb o="45" file="0087" n="93" rhead="MATHEMATICA. LIB. I. CAP. XIII."/>
            pondus cunei, cochleæ g g, & </s>
            <s xml:id="echoid-s2076" xml:space="preserve">lancis cum pondere impoſi-
              <lb/>
            to) ſe habet ad ſummam ponderum P,P, ut baſis cunei
              <lb/>
            ad ipſius altitudinem, æquilibrium datur, inter vim qua
              <lb/>
            cylindri ſeparantur, & </s>
            <s xml:id="echoid-s2077" xml:space="preserve">illam qua ad ſe mutuo trahuntur.
              <lb/>
            </s>
            <s xml:id="echoid-s2078" xml:space="preserve">Hoc exinde elicitur, quia agitatione minimâ cuneus eleva-
              <lb/>
            tur aut deprimitur.</s>
            <s xml:id="echoid-s2079" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2080" xml:space="preserve">Magnam cum cuneo affinitatem habet cochlea. </s>
            <s xml:id="echoid-s2081" xml:space="preserve">Ex dua-
              <lb/>
            bus partibus conſtat.</s>
            <s xml:id="echoid-s2082" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div338" type="section" level="1" n="116">
          <head xml:id="echoid-head168" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          5.</head>
          <p>
            <s xml:id="echoid-s2083" xml:space="preserve">Prima, quæ vocatur cochlea interior, eſt cylindrus ad for-
              <lb/>
              <note position="right" xlink:label="note-0087-01" xlink:href="note-0087-01a" xml:space="preserve">208.</note>
            mam belicis ſulcatus, ut AB.</s>
            <s xml:id="echoid-s2084" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">TAB. VII.
            <lb/>
          fig. 8.</note>
          <p>
            <s xml:id="echoid-s2085" xml:space="preserve">Secunda, quæ vocatur cochlea exterior, & </s>
            <s xml:id="echoid-s2086" xml:space="preserve">cujus figura
              <lb/>
              <note position="right" xlink:label="note-0087-03" xlink:href="note-0087-03a" xml:space="preserve">209.</note>
            differt pro vario uſu Machinæ, eſt ſolidum cylindricè excava-
              <lb/>
            tum, cujus ſuperficies concava eodem modo ſulcata eſt, ita ut bu-
              <lb/>
            jus eminentiæ alterius cavitatibus congruant, ut DE.</s>
            <s xml:id="echoid-s2087" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2088" xml:space="preserve">Hæ duæ partes in ſe mutuo moveri poſſunt, quod in uſu
              <lb/>
            hujus machinæ requiritur. </s>
            <s xml:id="echoid-s2089" xml:space="preserve">Inſervit præcipuè ad compri-
              <lb/>
            menda corpora, quæ jungi & </s>
            <s xml:id="echoid-s2090" xml:space="preserve">firmiter connecti debent; </s>
            <s xml:id="echoid-s2091" xml:space="preserve">in
              <lb/>
            hac enim Machinâ potentia minima quam arctiſſimé corpo-
              <lb/>
            ra comprimit. </s>
            <s xml:id="echoid-s2092" xml:space="preserve">Poteſt etiam cochlea ad elevanda ponde-
              <lb/>
            ra adaptari. </s>
            <s xml:id="echoid-s2093" xml:space="preserve">In unaquaque revolutione hujus machinæ, quie-
              <lb/>
            ſcente parte una, altera protruditur ad diſtantiam æqualem in-
              <lb/>
            tervallo duarum proximarum ſpiralium converſionum. </s>
            <s xml:id="echoid-s2094" xml:space="preserve">Po-
              <lb/>
            tentia, quâ cochlea movetur, applicatur manubrio, aut ſcy-
              <lb/>
            talæ & </s>
            <s xml:id="echoid-s2095" xml:space="preserve">potentia eſt ad compreſſionem, quam generat, ut
              <lb/>
              <note position="right" xlink:label="note-0087-04" xlink:href="note-0087-04a" xml:space="preserve">210.</note>
            prædicta diſtantia, inter duas proximas ſpiralium converſio-
              <lb/>
            nes, ad peripheriam circulià puncto manubrii aut ſcytalæ,
              <lb/>
            cui potentia applicatur, percurſi; </s>
            <s xml:id="echoid-s2096" xml:space="preserve">via enim a puncto aut pla-
              <lb/>
            no, quo reſiſtentia ſuperatur, percurſa, illam ad viam po-
              <lb/>
            tentiæ rationem habet.</s>
            <s xml:id="echoid-s2097" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2098" xml:space="preserve">Hic obſervandum eſt, quando potentia cum pondere æquè
              <lb/>
            pollet in machinâ quacunque, ſi potentia parte quantumvis
              <lb/>
            exiguâ augeatur, illam præpollere, machinâ omnium parti-
              <lb/>
            um attritu carente; </s>
            <s xml:id="echoid-s2099" xml:space="preserve">quando verò attritus datur, potentiâ
              <lb/>
            & </s>
            <s xml:id="echoid-s2100" xml:space="preserve">hic ſuperari debet, & </s>
            <s xml:id="echoid-s2101" xml:space="preserve">quantum ad illud requiritur ſu-
              <lb/>
            peraddi debet, quod ratiocinio mathematico determinari </s>
          </p>
        </div>
      </text>
    </echo>
Impressum