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

Table of Notes

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          <p>
            <s xml:id="echoid-s5787" xml:space="preserve">
              <pb o="268" file="0348" n="377" rhead="MACHINARUM"/>
            bis factum eſt, leviſſimi tantum fili bombycini tractueam di-
              <lb/>
            rigimus; </s>
            <s xml:id="echoid-s5788" xml:space="preserve">cujus pondus in pedes quinquaginta ſemidrachmam
              <lb/>
            non ſuperat; </s>
            <s xml:id="echoid-s5789" xml:space="preserve">quodque idem appenſas libras ſeptem ſuſtinet
              <lb/>
            priuſquam rumpatur. </s>
            <s xml:id="echoid-s5790" xml:space="preserve">Quare flexus ejus neque in hac, ne-
              <lb/>
            que in multo majori lentium diſtantia quidquam officit, etſi
              <lb/>
            non niſi modica vi trahatur, duabus tribuſve æquipollente li-
              <lb/>
            bris; </s>
            <s xml:id="echoid-s5791" xml:space="preserve">utique cum geometrica perfectio nequaquam hic requi-
              <lb/>
            ratur, ut cuilibet experto notum.</s>
            <s xml:id="echoid-s5792" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5793" xml:space="preserve">Etenim certum eſt eadem ratione, qua funis fune levior eſt,
              <lb/>
            vim tenſionis diminui, qua utrumque ad rectam lineam æqua-
              <lb/>
            liter accedat. </s>
            <s xml:id="echoid-s5794" xml:space="preserve">Ut proinde funiculus quinquaginta pedes lon-
              <lb/>
            gus, atque unciam pendens, vi librarum quadraginta octo o-
              <lb/>
            pus habeat, ubi filum noſtrum, longitudine pari, non niſi tri-
              <lb/>
            bus libris indigebit. </s>
            <s xml:id="echoid-s5795" xml:space="preserve">Atque hoc per ſe clarius eſt quam ut
              <lb/>
            demonſtratione comprobetur. </s>
            <s xml:id="echoid-s5796" xml:space="preserve">Idem enim eſt prorſus cum
              <lb/>
            ſexdecim funiculi ſemidrachmales trahuntur ſinguli trium li-
              <lb/>
            brarum pondere, atque cum uncialem funiculum ſimul com-
              <lb/>
            ponentes, is à conjunctis itidem ſexdecies ternis libris conten-
              <lb/>
            ditur.</s>
            <s xml:id="echoid-s5797" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5798" xml:space="preserve">Sed ulterius quoque hæc, quæ ad fili flexum attinent,
              <lb/>
            geometriæ rationibus, experimentiſque expendi poſſunt.
              <lb/>
            </s>
            <s xml:id="echoid-s5799" xml:space="preserve">Nempe contentum ſilum, flexu illo exiguo, parabolicam li-
              <lb/>
            neam tam prope exprimit, ut pro vera abſque errore habea-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s5800" xml:space="preserve">Cujus parabolæ profunditatem, in longitudine pedum
              <lb/>
            centum quinquaginta, invenimus pedis unius circiter quar-
              <lb/>
            tam partem; </s>
            <s xml:id="echoid-s5801" xml:space="preserve">cum filum horizonti parallelum tenderetur, nec
              <lb/>
              <note position="left" xlink:label="note-0348-01" xlink:href="note-0348-01a" xml:space="preserve">TAB.XXXI.
                <lb/>
              Fig. 1.</note>
            niſi vi librarum duarum & </s>
            <s xml:id="echoid-s5802" xml:space="preserve">ſemis. </s>
            <s xml:id="echoid-s5803" xml:space="preserve">Sit fili parabola a b c, pro-
              <lb/>
            funditas ejus d b, ducta nimirum recta a d c. </s>
            <s xml:id="echoid-s5804" xml:space="preserve">Porro tangant
              <lb/>
            parabolam rectæ a e, c f: </s>
            <s xml:id="echoid-s5805" xml:space="preserve">quibus occurrant c e, a f, paral-
              <lb/>
            lelæ d b. </s>
            <s xml:id="echoid-s5806" xml:space="preserve">Intuenti igitur ex a puncto, ſecundum rectam a e,
              <lb/>
            notatum fuit ſpatium c e fieri pedis unius; </s>
            <s xml:id="echoid-s5807" xml:space="preserve">unde fit d b pe-
              <lb/>
            dis quarta pars. </s>
            <s xml:id="echoid-s5808" xml:space="preserve">Ipſi vero c e æquale eſt a f. </s>
            <s xml:id="echoid-s5809" xml:space="preserve">Itaque lentem
              <lb/>
            in c poſitam ita trahit filum c b a, ut non ad oculum, qui
              <lb/>
            eſt in a, ſed ad f punctum directe oppoſita ſit. </s>
            <s xml:id="echoid-s5810" xml:space="preserve">Ut proinde
              <lb/>
            pedis unius intervallo à vero loco oculus abſit: </s>
            <s xml:id="echoid-s5811" xml:space="preserve">quod in illa
              <lb/>
            pedum 150 diſtantia nihil obeſſe poteſt. </s>
            <s xml:id="echoid-s5812" xml:space="preserve">Fit enim </s>
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