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

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              <pb o="182" file="0258" n="284" rhead="CHRISTIANI HUGENII"/>
            ſit longitudo. </s>
            <s xml:id="echoid-s4111" xml:space="preserve">Itaque & </s>
            <s xml:id="echoid-s4112" xml:space="preserve">pendulorum ſimplicium longitudi-
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                <emph style="sc">Decentro</emph>
                <lb/>
                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS</emph>
              .</note>
            nes, duplicatam rationem habebunt temporum, quibus o-
              <lb/>
            ſcillationes minimæ tranſiguntur.</s>
            <s xml:id="echoid-s4113" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4114" xml:space="preserve">Quod ſi quis oſcillationum numerandarum, quæ horæ aut
              <lb/>
            ſemihoræ tempore tranſeunt, laborem non defugiat; </s>
            <s xml:id="echoid-s4115" xml:space="preserve">horo-
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            logiumque adſit, cujus index ſecunda ſcrupula demonſtret;
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            </s>
            <s xml:id="echoid-s4116" xml:space="preserve">quæcunque accipiatur penduli ſimplicis longitudo, ejus nu-
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            merus oſcillationum, quæ hora una continentur, hoc modo
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            cognoſcetur; </s>
            <s xml:id="echoid-s4117" xml:space="preserve">atque inde longitudo penduli tripedalis, ad
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            ſecunda ſcrupula, ut antea, calculo prodibit.</s>
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        <div xml:id="echoid-div374" type="section" level="1" n="132">
          <head xml:id="echoid-head158" xml:space="preserve">PROPOSITIO XXVI.</head>
          <p style="it">
            <s xml:id="echoid-s4119" xml:space="preserve">SPatium deſinire, quod gravia, perpendiculari-
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            ter cadentia, dato tempore percurrunt.</s>
            <s xml:id="echoid-s4120" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4121" xml:space="preserve">Hanc menſuram quicunque hactenus inveſtigarunt, expe-
              <lb/>
            rimenta conſulere neceſſe habuerunt; </s>
            <s xml:id="echoid-s4122" xml:space="preserve">quibus, prout hacte-
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            nus inſtituta fuere, non facile ad exactam determinationem
              <lb/>
            pervenitur, propter velocitatem cadentium, ſub finem mo-
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            tus acquiſitam. </s>
            <s xml:id="echoid-s4123" xml:space="preserve">Ex noſtra autem prop. </s>
            <s xml:id="echoid-s4124" xml:space="preserve">25, de Deſcenſu
              <lb/>
            gravium, cognitaque longitudine penduli ad ſecunda ſcru-
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            pula, abſque experimento, per certam conſequentiam,
              <lb/>
            rem expedire poſſumus. </s>
            <s xml:id="echoid-s4125" xml:space="preserve">Ac primo quidem ſpatium il-
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            lud inquiremus, quod unius ſcrupuli ſecundi tempore grave
              <lb/>
            præterlabitur; </s>
            <s xml:id="echoid-s4126" xml:space="preserve">ex quo quælibet alia deinde colligere lice-
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            bit. </s>
            <s xml:id="echoid-s4127" xml:space="preserve">Quia igitur penduli, ad ſecunda ſcrupula, longi-
              <lb/>
            tudinem diximus eſſe pedum Horariorum 3: </s>
            <s xml:id="echoid-s4128" xml:space="preserve">tempus au-
              <lb/>
            tem unius oſcillationis minimæ, eſt ad tempus deſcenſus
              <lb/>
            perpendicularis ex dimidia penduli altitudine, ut circumfe-
              <lb/>
            rentia circuli ad diametrum, hoc eſt, ut 355 ad 113: </s>
            <s xml:id="echoid-s4129" xml:space="preserve">ſi
              <lb/>
            fiat, ut numerus horum prior ad alterum, ita tempus unius
              <lb/>
            ſecundi ſcrupuli, ſive ſexaginta tertiorum, ad aliud; </s>
            <s xml:id="echoid-s4130" xml:space="preserve">fient
              <lb/>
            19″′ {1/@0}, tempus deſcenſus per dimidiam penduli altitudinem,
              <lb/>
            quæ nempe eſt pedis unciarum 18. </s>
            <s xml:id="echoid-s4131" xml:space="preserve">Sicut autem quadrata
              <lb/>
            temporum, ita ſunt ſpatia illis temporibus peracta, </s>
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