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

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            <s xml:id="echoid-s5236" xml:space="preserve">
              <pb o="239" file="0317" n="344" rhead="CONTROVERSIA."/>
            fuerat. </s>
            <s xml:id="echoid-s5237" xml:space="preserve">Animadvertens itaque, Catelani principium ab Hu-
              <lb/>
            genio non refutatum eſſe, & </s>
            <s xml:id="echoid-s5238" xml:space="preserve">ego illud intactum reliqui,
              <lb/>
            ſufficere mihi ratus, ſi Hugenianum reſponſum ſimpliciter
              <lb/>
            applicarem ad præſentem controverſiam, propoſito eum in
              <lb/>
            finem exemplo penduli, e duobus æqualibus ponderibus
              <lb/>
            compoſiti; </s>
            <s xml:id="echoid-s5239" xml:space="preserve">ubi innuere ſaltem volui, quod ſuppoſito pro
              <lb/>
            totali ejus celeritate numero ternario (quicquid ſtatuatur de
              <lb/>
            celeritatibus utriusque ſeparatim ſpectati ponderis, dummo-
              <lb/>
            do eæ ſint in ratione 2 ad 1) quadrata {144/25} & </s>
            <s xml:id="echoid-s5240" xml:space="preserve">{9/25} ex mente Hu-
              <lb/>
            genii ſignificare debeant non niſi rationem altitudinum, ad
              <lb/>
            quas aſcendant ſeparata pondera, minime vero ipſas altitu-
              <lb/>
            dines (quod ipſe quoque poſtmodum indigitavit Hugenius
              <lb/>
            in ſecunda reſponſione, 8 Jun. </s>
            <s xml:id="echoid-s5241" xml:space="preserve">1684. </s>
            <s xml:id="echoid-s5242" xml:space="preserve">) partim quoniam
              <note symbol="*" position="right" xlink:label="note-0317-01" xlink:href="note-0317-01a" xml:space="preserve">Vide ſu-
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              pra pag. 232.</note>
            leritates atque altitudines, utpote quantitates heterogeneæ,
              <lb/>
            ſe mutuo menſurare non poſſunt; </s>
            <s xml:id="echoid-s5243" xml:space="preserve">partim etiam, quia ipſe
              <lb/>
            Catelanus urgere ſaltem videbatur, altitudines eſſe propor-
              <lb/>
            tionales quadratis, vel ſicut quadrata celeritatum; </s>
            <s xml:id="echoid-s5244" xml:space="preserve">tametſi in
              <lb/>
            proxime ſequenti calculo quadrata iſta pro ipſis altitudini-
              <lb/>
            bus adhibuerit. </s>
            <s xml:id="echoid-s5245" xml:space="preserve">Comparato mihi paulo poſt, & </s>
            <s xml:id="echoid-s5246" xml:space="preserve">perlecto
              <lb/>
            Hugenii libro, animadvertebam, Propoſitionem controver-
              <lb/>
            ſam ex priore Hypotheſium, quas Auctor initio ſtabiliverat,
              <lb/>
            adeo evidenter inferri, ut neutra infringi poſſit, quin ſimul
              <lb/>
            evertatur altera; </s>
            <s xml:id="echoid-s5247" xml:space="preserve">quocirca judicabam, ſi Catelano falſa fuiſ-
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            ſet viſa propoſitio, eum potius ipſam adoriri debuiſſe Hy-
              <lb/>
            potheſin, magnumque illud inibi contentum Principium Me-
              <lb/>
            chanicum. </s>
            <s xml:id="echoid-s5248" xml:space="preserve">Verum enim vero cum hujus principii veritatem
              <lb/>
            nullo jure in dubium revocare poſſem, atque ſimul etiam ſe-
              <lb/>
            riem ratiocinii a Catelano ſatis confuſe propoſiti evolvere
              <lb/>
            cœpiſſem, errorem ejus detexi illico, falſamque cognovi eſ-
              <lb/>
            ſe, qua nitebatur, regulam, nimirum: </s>
            <s xml:id="echoid-s5249" xml:space="preserve">Celeritatem totalem
              <lb/>
            penduli compoſiti æqualem eſſe ſummæ celeritatum partium ejus
              <lb/>
            ſeparatarum. </s>
            <s xml:id="echoid-s5250" xml:space="preserve">Atque ut oſtendam, animadverſum mihi fuiſ-
              <lb/>
            ſe errorem, priusquam Hugenii epiſtola de 8. </s>
            <s xml:id="echoid-s5251" xml:space="preserve">Jun. </s>
            <s xml:id="echoid-s5252" xml:space="preserve">lucem a-
              <lb/>
            ſpexiſſet, afferam hic cauſam phyſicam, omiſſam ab Huge-
              <lb/>
            nio, qua fit, ut penduli compoſiti celeritas perpetuo minor
              <lb/>
            ſit celeritate partium ejus ſeparatarum: </s>
            <s xml:id="echoid-s5253" xml:space="preserve">Ponamus majoris </s>
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