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 |< < (222) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div425" type="section" level="1" n="170">
          <p>
            <s xml:id="echoid-s4872" xml:space="preserve">
              <pb o="222" file="0300" n="327" rhead="DE CENTRO OSCILL."/>
            inter ſe ſuperficies. </s>
            <s xml:id="echoid-s4873" xml:space="preserve">& </s>
            <s xml:id="echoid-s4874" xml:space="preserve">ad axem perpendiculares; </s>
            <s xml:id="echoid-s4875" xml:space="preserve">formari debet, ſecun-
              <lb/>
            dâ ſectione, planum vel ſuperficies curva diſtantiarum inter il-
              <lb/>
            lorum centra Oſcillationis & </s>
            <s xml:id="echoid-s4876" xml:space="preserve">axem †, circa cujus puncta mo-
              <lb/>
            ventur. </s>
            <s xml:id="echoid-s4877" xml:space="preserve">Sic in ſummâ centrorum, quæ ab unâ parte rectas lineas ter-
              <lb/>
            minant, ex quibus planum hoc, vel ſuperficies illa curva, compoſita
              <lb/>
            eſt, habetur Pendulum magis ſimplex quam ſolidum, & </s>
            <s xml:id="echoid-s4878" xml:space="preserve">cujus vibra-
              <lb/>
            tio æque diuturna eſt. </s>
            <s xml:id="echoid-s4879" xml:space="preserve">Centrum Oſcillationis novi illius Penduli de-
              <lb/>
            terminabitur transferendo omnia illa centra Oſcillationis particularia
              <lb/>
            ad Axem qui eſt eorum numerus, & </s>
            <s xml:id="echoid-s4880" xml:space="preserve">ponendo illum axem ita mo-
              <lb/>
            veri, ut puncta ejus percurrant eosdem arcus ac centra. </s>
            <s xml:id="echoid-s4881" xml:space="preserve">Si ſoli-
              <lb/>
            da propoſita ſint Prismata recta, habebunt eadem Oſcil-
              <lb/>
            lationis centra, ac eorum baſes, ſi hæ fuerint perpendicula-
              <lb/>
            res ad axem.</s>
            <s xml:id="echoid-s4882" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4883" xml:space="preserve">Sic centrum Oſcillationis ſolidi pendet a centris Oſcillationis certa-
              <lb/>
            rum ſuperficierum motarum circa punctum, quarum commune O-
              <lb/>
            ſcillationis centrum eſt centrum Oſcillationis lineæ rectæ motæ circa
              <lb/>
            aliam rectam vel curvam; </s>
            <s xml:id="echoid-s4884" xml:space="preserve">ita ut non requirantur aliæ regulæ pro cor-
              <lb/>
            poribus quam pro lineis & </s>
            <s xml:id="echoid-s4885" xml:space="preserve">ſuperficiebus.</s>
            <s xml:id="echoid-s4886" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div426" type="section" level="1" n="171">
          <head xml:id="echoid-head208" xml:space="preserve">
            <emph style="sp">MONITUM.</emph>
          </head>
          <p style="it">
            <s xml:id="echoid-s4887" xml:space="preserve">Obſervationes Abbatis Catelani primum editæ fuere in
              <lb/>
            25 diario Pariſienſi anni 1681, & </s>
            <s xml:id="echoid-s4888" xml:space="preserve">examen Mathematicum in
              <lb/>
            29 diario ejusdem anni. </s>
            <s xml:id="echoid-s4889" xml:space="preserve">Scripta ambo in primo diario
              <lb/>
            ſequentis anni iterum extant, cum monitu varia defici in
              <lb/>
            prima editione, quam ſolam Hugenius viderat cum reſpon-
              <lb/>
            dit; </s>
            <s xml:id="echoid-s4890" xml:space="preserve">& </s>
            <s xml:id="echoid-s4891" xml:space="preserve">in qua non reperiuntur ea quæ minori charactere hic
              <lb/>
            edita ſunt. </s>
            <s xml:id="echoid-s4892" xml:space="preserve">Sola verba ſequentia in prima dantur & </s>
            <s xml:id="echoid-s4893" xml:space="preserve">in ſe-
              <lb/>
            cunda fuere omiſſa poſt †. </s>
            <s xml:id="echoid-s4894" xml:space="preserve">centrum Oſcillationis hujus plani
              <lb/>
            coincidet cum centro Oſcillationis ſolidorum illorum.</s>
            <s xml:id="echoid-s4895" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div427" type="section" level="1" n="172">
          <head xml:id="echoid-head209" xml:space="preserve">III.</head>
          <head xml:id="echoid-head210" style="it" xml:space="preserve">Excerpta ex literis Domini Hugenii, quibus re-
            <lb/>
          ſpondet obſervationi Abbatis Catelani in 4
            <emph style="super">am</emph>
          . pro-
            <lb/>
          poſitionem Tractatus de centris Oſcillationis.</head>
          <p>
            <s xml:id="echoid-s4896" xml:space="preserve">ADmiratus vidi, Theoriam meam de centro Oſcillationis
              <lb/>
            oppugnari, contra quam per 9 annos, a quibus </s>
          </p>
        </div>
      </text>
    </echo>