Bošković, Ruđer Josip, Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium

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page |< < (XXXI) of 389 > >|
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            <s xml:space="preserve">Eorum theorematum fructum colligo deducen
              <emph style="super">s</emph>
              <lb/>
            inde usque ad num. </s>
            <s xml:space="preserve">328, quæ ad æquilibrium per-
              <lb/>
              <note position="right" xlink:label="note-0043-01" xlink:href="note-0043-01a" xml:space="preserve">321</note>
            tinent divergentium utcumque virium, & </s>
            <s xml:space="preserve">ipſius æ-
              <lb/>
            quilibrii centrum, ac niſum centri in fulcrum, & </s>
            <s xml:space="preserve">
              <lb/>
            quæ ad præponderantiam, Theoriam extendens ad
              <lb/>
            caſum etiam, quo maſſæ non in ſe invicem agant
              <lb/>
            mutuo immediate, ſed per intermedias alias, quæ
              <lb/>
            nexum concilient, & </s>
            <s xml:space="preserve">virgarum nectentium ſup-
              <lb/>
            pleant vices, ac ad maſſas etiam quotcunque, qua-
              <lb/>
            rum ſingulas cum centro converſionis, & </s>
            <s xml:space="preserve">alia qua-
              <lb/>
            vis aſſumpta maſſa connexas concipio, unde prin-
              <lb/>
            cipium momenti deduco pro machinis omnibus:
              <lb/>
            </s>
            <s xml:space="preserve">tum omnium vectium genera evolvo, ut & </s>
            <s xml:space="preserve">illud,
              <lb/>
            facta ſuſpenſione per centrum gravitatis haberi æ-
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            quilibrium, ſed in ipſo centro debere ſentiri vim
              <lb/>
            a fulcro, vel ſuſtinente puncto, æqualem ſummæ
              <lb/>
            ponderum totius ſyſtematis, unde demum pateat
              <lb/>
            ejus ratio, quod paſſim ſine demonſtratione aſſu-
              <lb/>
            mitur, nimirum ſyſtemate quieſcente, & </s>
            <s xml:space="preserve">impedito
              <lb/>
            omni partium motu per æquilibrium, totam maſ-
              <lb/>
            ſam concipi poſſe ut in centro gravitatis collectam.</s>
            <s xml:space="preserve"/>
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            <s xml:space="preserve">A num. </s>
            <s xml:space="preserve">328 ad 347 deduco ex iisdem theorema-
              <lb/>
              <note position="right" xlink:label="note-0043-02" xlink:href="note-0043-02a" xml:space="preserve">328</note>
            tis, quæ pertinent ad centrum oſcillationis quot-
              <lb/>
            cunque maſſarum, ſive ſint in eadem recta, ſive
              <lb/>
            in plano perpendiculari ad axem rotationis ubicun-
              <lb/>
            que, quæ Theoria per ſyſtema quatuor maſſarum,
              <lb/>
            excolendum aliquanto diligentius, uberius promo-
              <lb/>
            veri deberet & </s>
            <s xml:space="preserve">extendi ad generalem habendum
              <lb/>
            ſolidorum nexum, qua re indicata, centrum iti-
              <lb/>
              <note position="right" xlink:label="note-0043-03" xlink:href="note-0043-03a" xml:space="preserve">344</note>
            dem percuſſionis inde evolvo, & </s>
            <s xml:space="preserve">ejus analogiam
              <lb/>
            cum centro oſcillationis exhibeo.</s>
            <s xml:space="preserve"/>
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          <p>
            <s xml:space="preserve">Collecto ejusmodi fructu ex theorematis perti-
              <lb/>
            nentibus ad maſſas tres, innuo num. </s>
            <s xml:space="preserve">347, quæ mi-
              <lb/>
            hi communia ſint cum ceteris omnibus, & </s>
            <s xml:space="preserve">cum
              <lb/>
            Newtonianis potiſſimum, pertinentia ad ſummas
              <lb/>
            virium, quas habet punctum, vel maſſa attracta,
              <lb/>
            vel repulſa a punctis ſingulis alterius maſſæ; </s>
            <s xml:space="preserve">tum
              <lb/>
              <note position="right" xlink:label="note-0043-04" xlink:href="note-0043-04a" xml:space="preserve">348</note>
            </s>
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