Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

Table of contents

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[91.] De Centri gravitatis inveſtigatione.
[92.] SCHOLIUM 2. Arithmetica Mechanica.
[93.] CAPUT X. De Vecte, Machinarum ſimplicium prima. Definitio 1.
[94.] Experimentum 1. 2. & 3.
[95.] Experimentum 4.
[96.] Experimentum 5.
[97.] Experimentum 6.
[98.] Experimentum 7. & 8.
[99.] Experimentum 9
[100.] CAPUT XI.
[101.] Definitio
[102.] Experimentum 1.
[103.] Experimentum 2.
[104.] CAPUT XII. De Trochlea, Machinarum ſimplicium tertia.
[105.] Experimentum 1.
[106.] Experimentum 2.
[107.] Experimentum 3. & 4
[108.] Experimentum 5.
[109.] CAPUT XIII. De Cuneo & Cocbleâ, Machinarum Simplicium quartâ, & quintâ.
[110.] Definitio I.
[111.] Definitio 2.
[112.] Definitio 3.
[113.] Definitio 4.
[114.] Machina Qua cunei affectiones demonſtrantur.
[115.] Experimentum
[116.] Definitio 5.
[117.] SCHOLIUM I. De ligno findendo.
[118.] SCHOLIUM 2. Machinæ cujuſdam examen.
[119.] CAPUT XIV. De Machinis compoſitis.
[120.] Experimentum I.
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            <s xml:id="echoid-s2043" xml:space="preserve">
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            licum, cujus diameter eſt ſeſquipollicis. </s>
            <s xml:id="echoid-s2044" xml:space="preserve">Pars hæc tenui-
              <lb/>
            or duobus annulis ii, oo, ex ipſo ligno, circumdatur ita,
              <lb/>
            ut lamina lignea F, quæ tenuiori huic parti applicatur, an-
              <lb/>
            nulos tantum tangat.</s>
            <s xml:id="echoid-s2045" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2046" xml:space="preserve">In tabella T dantur & </s>
            <s xml:id="echoid-s2047" xml:space="preserve">duo alia foramina inter a, a, & </s>
            <s xml:id="echoid-s2048" xml:space="preserve">
              <lb/>
            b, b, nempe l, l, per quæ funes tranſeunt, qui in ſuperiori
              <lb/>
            parte tabellæ cum paxillis s, s, cohærent. </s>
            <s xml:id="echoid-s2049" xml:space="preserve">Hiſce funibus
              <lb/>
            trochleæ duæ æneæ ſuſtinentur, ut t, aut T, ita ſuſpenſæ
              <lb/>
            ut liberrime circa axes ſuos chalybeos, in foraminibus in la-
              <lb/>
            mellis æneis rotari poſſint.</s>
            <s xml:id="echoid-s2050" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2051" xml:space="preserve">Trochlea, ut T, cum cylindro uno conjungitur ope la-
              <lb/>
            mellæ E, & </s>
            <s xml:id="echoid-s2052" xml:space="preserve">funium m; </s>
            <s xml:id="echoid-s2053" xml:space="preserve">cum oppoſitâ lamellâ E funis n n co-
              <lb/>
            hæret, qui trochleæ circumponitur & </s>
            <s xml:id="echoid-s2054" xml:space="preserve">pondere P trahitur.
              <lb/>
            </s>
            <s xml:id="echoid-s2055" xml:space="preserve">Simile pondus, ad aliam partem cylindrorum, eodem mo-
              <lb/>
            do, ſuſpenditur, quibus duobus ponderibus ad ſe mutuotra-
              <lb/>
            huntur cylindri.</s>
            <s xml:id="echoid-s2056" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2057" xml:space="preserve">Ope paxillorum s, s, elevantur, aut deprimuntur trochleæ,
              <lb/>
            donec funes n & </s>
            <s xml:id="echoid-s2058" xml:space="preserve">m ſint in ſitu horizontali.</s>
            <s xml:id="echoid-s2059" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2060" xml:space="preserve">Cuneus formatur ex duabus laminis ligneis F, F, verti-
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            eulis inter ſe conjunctis; </s>
            <s xml:id="echoid-s2061" xml:space="preserve">quæ angulum quemcunque inter
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            ſe efficere poſſunt.</s>
            <s xml:id="echoid-s2062" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2063" xml:space="preserve">Per haſce ipſas tranſit cochlea, circulariter incurvata, ſu-
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            per qua duo fruſta ænea exigua, duæ nempe cochleæ ex-
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            teriores, moventur. </s>
            <s xml:id="echoid-s2064" xml:space="preserve">Hiſce plana F, F ſeparantur, &</s>
            <s xml:id="echoid-s2065" xml:space="preserve">, ne an-
              <lb/>
            gulus, quem efficiunt, minuatur, cohibent.</s>
            <s xml:id="echoid-s2066" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2067" xml:space="preserve">Appenſâ lance, cum pondere Q, cuneus hic inter cylin-
              <lb/>
            dros intruditur.</s>
            <s xml:id="echoid-s2068" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2069" xml:space="preserve">Ut ita conſtituatur cuneus, ut ratio inter baſim& </s>
            <s xml:id="echoid-s2070" xml:space="preserve">altitudi -
              <lb/>
            nem determinetur, formantur ex ligno triangula iſocelia mino-
              <lb/>
            ra, ad verticem paululum truncata; </s>
            <s xml:id="echoid-s2071" xml:space="preserve">quibus altitudo, & </s>
            <s xml:id="echoid-s2072" xml:space="preserve">baſis lon-
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            gitudo inſcribuntur, datâ menſurâ quacunque. </s>
            <s xml:id="echoid-s2073" xml:space="preserve">Commodum
              <lb/>
            eſt exprimere altitudinem per numerum 16, ſi integris libris
              <lb/>
            cylindri ad ſe mutuo trahantur.</s>
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            <emph style="sc">Experimentum</emph>
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          <p>
            <s xml:id="echoid-s2075" xml:space="preserve">Rebus, ut in machinæ deſcriptione dictum, diſpoſitis,
              <lb/>
              <note position="left" xlink:label="note-0086-01" xlink:href="note-0086-01a" xml:space="preserve">207.</note>
            ſi pondus, quo cuneus inter cylindros intruditur, (id </s>
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