Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica
page |< < (308) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div483" type="section" level="1" n="198">
          <p>
            <s xml:id="echoid-s6845" xml:space="preserve">
              <pb o="308" file="0394" n="426" rhead="VARIA CIRCA MECHANICAM."/>
            ſint ut quadrata celeritatum, ideo requiritur ut quadrata ce-
              <lb/>
            leritatum ſint ut vires, id eſt ut G B ad B K; </s>
            <s xml:id="echoid-s6846" xml:space="preserve">& </s>
            <s xml:id="echoid-s6847" xml:space="preserve">conſequen-
              <lb/>
            ter ut velocitates ſint ut G B ad B S; </s>
            <s xml:id="echoid-s6848" xml:space="preserve">quandoquidem
              <lb/>
            quadrata G B & </s>
            <s xml:id="echoid-s6849" xml:space="preserve">B S ſunt ut lineæ G B, B K per conſtructio-
              <lb/>
            nem. </s>
            <s xml:id="echoid-s6850" xml:space="preserve">Probavi ergo ex ordinariis Mechanices principiis, id,
              <lb/>
            quod in obſervatione mea propoſueram.</s>
            <s xml:id="echoid-s6851" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6852" xml:space="preserve">Superfluum foret alia argumenta D
              <emph style="super">ni</emph>
            Renaldi examinare,
              <lb/>
            quibus vult hanc eandem, quam refutavi propoſitionem, con-
              <lb/>
            firmare; </s>
            <s xml:id="echoid-s6853" xml:space="preserve">ſolummodo indicabo originem erroris, qui in iis oc-
              <lb/>
            currit, præſertim naſci ex eo, quod in Articulo 7. </s>
            <s xml:id="echoid-s6854" xml:space="preserve">Cap. </s>
            <s xml:id="echoid-s6855" xml:space="preserve">1.
              <lb/>
            </s>
            <s xml:id="echoid-s6856" xml:space="preserve">Theoriæ ſuæ concludat, vires relativas materiæ fluidæ ad
              <lb/>
            ſuperficies diverſimode inclinatas eſſe inter ſe, ut quadrata ſi-
              <lb/>
            nuum angulorum incidentiæ; </s>
            <s xml:id="echoid-s6857" xml:space="preserve">debuiſſet addere ad ſuperficies æ-
              <lb/>
            quales diverſimode inclinatas; </s>
            <s xml:id="echoid-s6858" xml:space="preserve">cujus vocis æquales paulo ante in
              <lb/>
            eodem Articulo pag. </s>
            <s xml:id="echoid-s6859" xml:space="preserve">7. </s>
            <s xml:id="echoid-s6860" xml:space="preserve">quoque non meminerat; </s>
            <s xml:id="echoid-s6861" xml:space="preserve">quod ſi ſup-
              <lb/>
            pleatur, tum demonſtratio optime congruit cum concluſione
              <lb/>
            cumque veris principiis P: </s>
            <s xml:id="echoid-s6862" xml:space="preserve">Pardies in Art. </s>
            <s xml:id="echoid-s6863" xml:space="preserve">118. </s>
            <s xml:id="echoid-s6864" xml:space="preserve">Tracta-
              <lb/>
            tus de Viribus moventibus. </s>
            <s xml:id="echoid-s6865" xml:space="preserve">Pater hic tantum in eodem illo
              <lb/>
            Articulo deceptus fuit, quod ignorarit vel ſaltem non recor-
              <lb/>
            datus fuerit, reſiſtentias aquæ in corpus eſſe ut quadrata ve-
              <lb/>
            locitatum ejus corporis; </s>
            <s xml:id="echoid-s6866" xml:space="preserve">ideo enim p. </s>
            <s xml:id="echoid-s6867" xml:space="preserve">225. </s>
            <s xml:id="echoid-s6868" xml:space="preserve">facit a f ad a u in
              <lb/>
            duplicatâ ratione b o ad m p cum ſimpliciter facere debuerit
              <lb/>
            a f ad a u, ut b o ad m p.</s>
            <s xml:id="echoid-s6869" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6870" xml:space="preserve">Quod attinet ad utiliſſimum Gubernaculi ſitum, D
              <emph style="super">nus</emph>
            Re-
              <lb/>
            naldus ſe ipſum nullo jure culpat, & </s>
            <s xml:id="echoid-s6871" xml:space="preserve">dum quæ primo deter-
              <lb/>
            minaverat corrigere conatur, male ratiocinatur; </s>
            <s xml:id="echoid-s6872" xml:space="preserve">in reſponſio-
              <lb/>
            ne p. </s>
            <s xml:id="echoid-s6873" xml:space="preserve">303, nam tantum determinandum eſt, in quonam Gu-
              <lb/>
            bernaculi ſitu aqua id propulſura ſit maximâ vi, juxta per-
              <lb/>
            pendicularem ad carinam; </s>
            <s xml:id="echoid-s6874" xml:space="preserve">unde neceſſario ſequetur maxima
              <lb/>
            puppis velocitas juxta illam perpendicularem. </s>
            <s xml:id="echoid-s6875" xml:space="preserve">Errat etiam,
              <lb/>
            quum vult, p. </s>
            <s xml:id="echoid-s6876" xml:space="preserve">25 Theoriæ ſuæ de Manuaria Nautica, legi
              <lb/>
            velocitas loco vis.</s>
            <s xml:id="echoid-s6877" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6878" xml:space="preserve">Quod ſupereſt, obſervo, totam hanc Theoriam, ut edi-
              <lb/>
            derat, veram fore ſi reſiſtentiæ aquæ eſſent ut velocitates
              <lb/>
            navis, ſunt autem ut quadrata illarum velocitatum.</s>
            <s xml:id="echoid-s6879" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div485" type="section" level="1" n="199">
          <head xml:id="echoid-head259" xml:space="preserve">FINIS.</head>
        </div>
      </text>
    </echo>
Impressum