Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

Page concordance

< >
Scan Original
321
322
323 218
324 219
325 220
326 221
327 222
328 223
329 224
330 225
331 226
332 227
333 228
334 229
335 230
336 231
337 232
338 233
339 234
340 235
341 236
342 237
343 238
344 239
345 240
346 241
347 242
348 243
349 244
350 245
< >
page |< < (225) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div427" type="section" level="1" n="172">
          <p>
            <s xml:id="echoid-s4957" xml:space="preserve">
              <pb o="225" file="0303" n="330" rhead="CONTROVERSIA."/>
            in quodam magni ſui Curſus Mathematici loco, memorando
              <lb/>
            experimentum cum Pendulo compoſito ex duobus ponderi-
              <lb/>
            bus inſtitutum, in quo computans rationem non habuit
              <lb/>
            (ut debebat) ponderis baculi, cui pondera erant applicata,
              <lb/>
            immerito regulas noſtras de determinando centro gravitatis
              <lb/>
            culpare, quaſi non convenirent cum iis quæ ille revera obſer-
              <lb/>
            varat.</s>
            <s xml:id="echoid-s4958" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div429" type="section" level="1" n="173">
          <head xml:id="echoid-head211" xml:space="preserve">IV.</head>
          <head xml:id="echoid-head212" style="it" xml:space="preserve">Exceptio Abbatis Catelani ad reſponſionem
            <lb/>
          Hugenii.</head>
          <p>
            <s xml:id="echoid-s4959" xml:space="preserve">NOn debebat Hugenius a ſuo principio ſeparare conſe-
              <lb/>
            quentiam, ut hanc aliter intelligat, quam ego in ſcri-
              <lb/>
            ptis meis. </s>
            <s xml:id="echoid-s4960" xml:space="preserve">Prorſus deberem oblitus eſſe Arithmetices, ſi ab-
              <lb/>
            ſolute negarem, ut me facere contendit, quod 4 magnitudi-
              <lb/>
            nes inæquales poſſint efficere 2 ſummas æquales, quum nil a-
              <lb/>
            liud concludo in ſcriptis, præterquam quod propoſitio Hu-
              <lb/>
            genii vera eſſe nequeat, niſi pars ſit æqualis toti. </s>
            <s xml:id="echoid-s4961" xml:space="preserve">Ut hoc
              <lb/>
            melius pateat, debemus hic proferre propoſitionem illam ge-
              <lb/>
            neralem propriis terminis.</s>
            <s xml:id="echoid-s4962" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4963" xml:space="preserve">Si Pendulum e pluribus ponderibus compoſitum, at que e quie-
              <lb/>
            te demiſſum, partem quamcunque Oſcillationis integræ confece-
              <lb/>
            rit, atque inde porro intelligantur pondera ejus ſingula, reli-
              <lb/>
            cto communi vinculo, celeritates acquiſitas ſurſum convertere,
              <lb/>
            ac quousque poſſunt aſcendere; </s>
            <s xml:id="echoid-s4964" xml:space="preserve">hoc facto, centrum gravitatis
              <lb/>
            ex omnibus compoſitæ, ad eandem altitudinem reverſum erit,
              <lb/>
            quam ante inceptam Oſcillationem obtinebat.</s>
            <s xml:id="echoid-s4965" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4966" xml:space="preserve">Cum hæc propoſitio terminis generaliſſimis concepta ſit,
              <lb/>
            ita ut numerus ponderum, ſitus eorum, duratio Vibrationis,
              <lb/>
            ipſam non mutent, pono, Exempli cauſâ, Pendulum compoſi-
              <lb/>
            tum e ponderibus duo bus æqualibus, & </s>
            <s xml:id="echoid-s4967" xml:space="preserve">inter ſe ad quam li-
              <lb/>
            buerit a ſe invicem diſtantiam junctis. </s>
            <s xml:id="echoid-s4968" xml:space="preserve">Conſidero porro al-
              <lb/>
            titudines, quæ ſunt proportionales quadratis velocitatum in
              <lb/>
            duobus Pendulis ſimplicibus, eſſe inter ſe ut velocitates </s>
          </p>
        </div>
      </text>
    </echo>
Impressum