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

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            axis, qui exprimit diſtantias, non expriment ſpatium conſectum;
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            </s>
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              <note position="left" xlink:label="note-0134-01" xlink:href="note-0134-01a" xml:space="preserve">rum percurſo-
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              rum a ſingulis
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              punctis.</note>
            nam moveri debebit punctum utrumque: </s>
            <s xml:space="preserve">adhuc tamen illa ſeg-
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            menta erunt proportionalia ipſi ſpatio confecto, eorum nimi-
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            rum dimidio; </s>
            <s xml:space="preserve">quod quidem ſatis eſt ad hoc, ut illæ areæ ad-
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            huc ſint proportionales incrementis, vel decrementis quadrati
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            velocitatum, adeoque ipſa exprimant.</s>
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          <p>
            <s xml:space="preserve">178. </s>
            <s xml:space="preserve">Secundo loco notandum illud, ubi areæ reſpondentes
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              <note position="left" xlink:label="note-0134-02" xlink:href="note-0134-02a" xml:space="preserve">Si areæ ſint
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              partim attracti-
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              væ, partim re-
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              pulſivæ, aſſu-
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              mendam eſſe
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              differentiam ea-
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              mdem.</note>
            dato cuipiam ſpatio ſint partim attractivæ, partim repulſivæ,
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            earum differentiam, quæ oritur ſubtrahendo ſummam omnium
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            repulſivarum a ſumma attractivarum, vel vice verſa, exhibitu-
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            ram incrementum illud, vel decrementum quadrati velocitatis;
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            </s>
            <s xml:space="preserve">prout directio motus reſpectivi conſpiret cum vi, vel oppo-
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            ſitam habeat directionem. </s>
            <s xml:space="preserve">Quamobrem ſi interea, dum per
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            aliquod majus intervallum a ſe invicem receſſerunt puncta, ha-
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            buerint vires directionis utriuſque; </s>
            <s xml:space="preserve">ut innoteſcat, an celeritas
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            creverit, an decreverit, & </s>
            <s xml:space="preserve">quantum; </s>
            <s xml:space="preserve">erit inveſtigandum, an
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            areæ omnes attractivæ ſimul, omnes repulſivas ſimul ſuperent,
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            an deſiciant, & </s>
            <s xml:space="preserve">quantum; </s>
            <s xml:space="preserve">inde enim, & </s>
            <s xml:space="preserve">a velocitate, quæ ha-
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            bebatur initio, erui poterit, quod quæritur.</s>
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          <p>
            <s xml:space="preserve">179. </s>
            <s xml:space="preserve">Hæc quidem de arcubus, & </s>
            <s xml:space="preserve">areis; </s>
            <s xml:space="preserve">nunc aliquanto dili-
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              <note position="left" xlink:label="note-0134-03" xlink:href="note-0134-03a" xml:space="preserve">Appulſus ad
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              axem curvæ ſe-
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              cantis, vel tan-
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              gentis: ſectio-
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              num, ſen limi-
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              tum duo gene-
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              ra.</note>
            gentius conſiderabimus illa axis puncta, ad quæ curva appellit.
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            </s>
            <s xml:space="preserve">Ea puncta vel ſunt ejuſmodi, ut in iis curva axem ſecet, cu-
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            juſmodi in fig. </s>
            <s xml:space="preserve">1 ſunt E, G, I &</s>
            <s xml:space="preserve">c, vel ejuſmodi, ut in iis
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            ipſa curva axem contingat tantummodo. </s>
            <s xml:space="preserve">Primi generis puncta
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            ſunt ea, in quibus fit tranſitus a repulſionibus ad attractiones,
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            vel vice verſa, & </s>
            <s xml:space="preserve">hæc ego appello limites, quod nimirum ſint
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              <note position="left" xlink:label="note-0134-04" xlink:href="note-0134-04a" xml:space="preserve">Fig. 1.</note>
            limites inter eas oppoſitarum directionum vires. </s>
            <s xml:space="preserve">Sunt autem
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            hi limites duplicis generis: </s>
            <s xml:space="preserve">in aliis, aucta diſtantia, tranſitur a
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            repulſione ad attractionem: </s>
            <s xml:space="preserve">in aliis, contra ab attractione ad re-
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            pulſionem. </s>
            <s xml:space="preserve">Prioris generis ſunt E, I, N, R; </s>
            <s xml:space="preserve">poſterioris
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            G, L, P: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quoniam, poſteaquam ex parte repulſiva in una ſe-
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            ctione curva tranſiit ad partem attractivam; </s>
            <s xml:space="preserve">in proxime ſequen-
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            ti ſectione debet neceſſario ex parte attractiva tranſire ad repul-
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            ſivam, ac vice verſa; </s>
            <s xml:space="preserve">patet, limites fore alternatim prioris il-
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            lius, & </s>
            <s xml:space="preserve">hujus poſterioris generis.</s>
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          <p>
            <s xml:space="preserve">180. </s>
            <s xml:space="preserve">Porro limites prioris generis, a limitibus poſterioris in-
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              <note position="left" xlink:label="note-0134-05" xlink:href="note-0134-05a" xml:space="preserve">In quo conve-
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              niant inter ſe, in
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              quo differant:
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              limites co
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              hæ-
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              ſionis, & non
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              coh
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              æſionis.</note>
            gens habent inter ſe diſcrimen. </s>
            <s xml:space="preserve">Habent illi quidem hoc com-
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            mune, ut duo puncta collocata in diſtantia unius limitis cu-
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            juſcunque nullam habeant mutuam vim, adeoque ſi reſpective
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            quieſcebant, pergant itidem reſpective quieſcere. </s>
            <s xml:space="preserve">At ſi ab il-
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            la reſpectiva quiete dimoveantur; </s>
            <s xml:space="preserve">tum vero in limite primi
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            generis ulteriori dimotioni reſiſtent, & </s>
            <s xml:space="preserve">conabuntur priorem
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            diſtantiam recuperare, ac ſibi relicta ad illam ibunt; </s>
            <s xml:space="preserve">in limite
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            vero ſecundi generis, utcunque parum dimota, ſponte magis
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            fugient, ac a priore diſtantia ſtatim recedent adhuc magis.
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            </s>
            <s xml:space="preserve">Nam ſi diſtantia minuatur; </s>
            <s xml:space="preserve">habebunt in limite prioris gene-
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            ris vim repulſivam, quæ obſtabit ulteriori acceſſui, & </s>
            <s xml:space="preserve">ur-
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            gebit puncta ad mutuum receſſum, quem ſibi relicta </s>
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