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

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            <s xml:space="preserve">Extingueret igitur in ſecundo caſu illa vis minus, quam 6 di-
              <lb/>
            ſcriminis gradus, ſi in primo uſque ad contactum extinxit
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            tantummodo 6. </s>
            <s xml:space="preserve">Supereſſent igitur plures, quam 8; </s>
            <s xml:space="preserve">nam in-
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            ter 20 & </s>
            <s xml:space="preserve">6 erant 14, ubi ad ipſum deveniretur contactum, & </s>
            <s xml:space="preserve">
              <lb/>
            ibi per ſaltum deberent velocitates mutari, ne compenetratio
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            haberetur, ac proinde lex continuitatis violari. </s>
            <s xml:space="preserve">Cum igitur
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            id accidere non poſſit; </s>
            <s xml:space="preserve">oportet, Natura incommodo caverit
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            per ejuſmodi vim, quæ in priore caſu aliquanto ante contactum
              <lb/>
            extinxerit velocitatis diſcrimen, ut nimirum imminutis in ſe-
              <lb/>
            cundo caſu adhuc magis diſtantiis, vis ulterior illud omne di-
              <lb/>
            ſcrimen auferat, eliſis omnibus illis 14 gradibus diſcriminis,
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            qui habebantur.</s>
            <s xml:space="preserve"/>
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          <p>
            <s xml:space="preserve">77. </s>
            <s xml:space="preserve">Quando autem huc jam delati ſumus, facile eſt ulterius
              <lb/>
              <note position="right" xlink:label="note-0087-01" xlink:href="note-0087-01a" xml:space="preserve">Eam vim de-
                <lb/>
              bere augeri in
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              infinitum, im-
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              minutis, & qui-
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              dem in infini-
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              tum, diſtantiis:
                <lb/>
              habente virium
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              curva aliquam
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              aſymptotum in
                <lb/>
              ori ine abſciſſa-
                <lb/>
              rum.</note>
            progredi, & </s>
            <s xml:space="preserve">illud conſiderare, quod in ſecundo caſu accidit
              <lb/>
            reſpectu primi, idem accidere aucta ſemper velocitate conſe-
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            quentis corporis in tertio aliquo reſpectu ſecundi, & </s>
            <s xml:space="preserve">ita por-
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            ro. </s>
            <s xml:space="preserve">Debebit igitur ad omnem pro omni caſu evitandum ſal-
              <lb/>
            tum Natura caviſſe per ejuſmodi vim, quæ imminutis diſtan-
              <lb/>
            tiis creſcat in infinitum, atque ita creſcat, ut par ſit extin-
              <lb/>
            guendæ cuicunque velocitati, utcunque magnæ. </s>
            <s xml:space="preserve">Devenimus
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            igitur ad vires repulſivas imminutis diſtantiis creſcentes in in-
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            finitum, nimirum ad aroum illum aſymptoticum ED curvæ
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            virium in fig. </s>
            <s xml:space="preserve">1. </s>
            <s xml:space="preserve">propoſitum. </s>
            <s xml:space="preserve">Illud quidem ratiocinatione ha-
              <lb/>
              <note position="right" xlink:label="note-0087-02" xlink:href="note-0087-02a" xml:space="preserve">Fig. 1.</note>
            ctenus inſtituta immediate non deducitur, hujuſinodi incre-
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            menta virium auctarum in infinitum reſpondere diſtantiis in
              <lb/>
            infinitum imminutis. </s>
            <s xml:space="preserve">Poſſet pro hiſce corporibus, quæ habe-
              <lb/>
            mus præ manibus, quædam data diſtantia quæcunque eſſe ulti-
              <lb/>
            mus limes virium in infinitum excreſcentium, quo caſu a-
              <lb/>
            ſymptotus A B non tranſiret per initium diſtantiæ binorum
              <lb/>
            corporum, ſed tanto intervallo poſt ipſum, quantus eſſet ille
              <lb/>
            omnium diſtantiarum, quas remotiores particulæ poſſint acqui-
              <lb/>
            rere a ſe invicem, limes minimus; </s>
            <s xml:space="preserve">ſed aliquem demum eſſe
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            debere extremum etiam aſymptoticum arcum curvæ habentem
              <lb/>
            pro aſymptoto rectam tranſeuntem per ipſum initium diſtan-
              <lb/>
            tiæ, ſic evincitur: </s>
            <s xml:space="preserve">ſi nullus ejuſmodi haberetur arcus; </s>
            <s xml:space="preserve">particu-
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            læ materiæ minores, & </s>
            <s xml:space="preserve">primo collocatæ in diſtantia minore,
              <lb/>
            quam eſſet ille ultimus limes, ſive illa diſtantia aſymptoti ab
              <lb/>
            initio diſtantiæ binorum punctorum materiæ, in mutuis incur-
              <lb/>
            ſibus velocitatem deberent poſſe mutare per ſaltum, quod cum
              <lb/>
            fieri nequeat, debet utique aliquis eſſe ultimus aſymptoticus
              <lb/>
            arcus, qui aſymptotum habeat tranſeuntem per diſtantiarum
              <lb/>
            initium, & </s>
            <s xml:space="preserve">vires inducat imminutis in infinitum diſtantiis
              <lb/>
            creſcentes in infinitum ita, ut ſint pares velocitati extinguen-
              <lb/>
            dæ cuivis, utcunque magnæ. </s>
            <s xml:space="preserve">Ad ſummum in curva virium
              <lb/>
            haberi poſſent plures aſymptotici arcus, alii poſt alios, haben-
              <lb/>
            tes ad exigua intervalla aſymptotos inter ſe parallelas, qui ca-
              <lb/>
            ſus itidem uberrimum aperit contemplationibus fœcundiſſimis
              <lb/>
            campum, de quo aliquid inferius; </s>
            <s xml:space="preserve">ſed aliquis arcus </s>
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