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

Table of handwritten notes

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            tu, quem determinant vires mutuæ, quas inter bina quævis
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            puncta agnoſco a deſtantiis pendentes, & </s>
            <s xml:space="preserve">iis mutatis mutatas,
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            juxta generalem quandam omnibus communem legem. </s>
            <s xml:space="preserve">In
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            ea determinatione ſtat illa, quam dicimus, inertiæ vis, quæ,
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            an a libera pendeat Supremi Conditoris lege, an ab ipſa
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            punctorum natura, an ab aliquo iis adjecto, quodcunque
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            iſtud ſit, ego quidem non quæro; </s>
            <s xml:space="preserve">nec vero, ſi velim quæ-
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            rere, inveniendi ſpem habeo; </s>
            <s xml:space="preserve">quod idem ſane cenſeo de ea
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            virium lege, ad quam gradum jam facio.</s>
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            <s xml:space="preserve">9. </s>
            <s xml:space="preserve">Cenſeo igitur bina quæcunque materiæ puncta determi-
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              <note position="right" xlink:label="note-0057-01" xlink:href="note-0057-01a" xml:space="preserve">Eorundem vi-
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              res mutuæ in
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              aliis diſtantiis
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              attractivæ , i
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              aliis repulſivæ :
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              virium ejuſm
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              -
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              di exempla.</note>
            nari æque in aliis diſtantiis ad mutuum acceſſum, in aliis ad
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            receſſum mutuum, quam ipſam determinationem appello
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            vim, in priore caſu attractivam, in poſteriore repulſivam,
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            eo nomine non agendi modum, ſed ipſam determinationem
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            exprimens, undecunque proveniat, cujus vero magnitudo mu-
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            tatis diſtantiis mutetur & </s>
            <s xml:space="preserve">ipſa ſecundum certam legem quan-
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            dam, quæ per geometricam lineam curvam, vel algebraicam
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            formulam exponi poſſit, & </s>
            <s xml:space="preserve">oculis ipſis, uti moris eſt apud
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            Mechanicos, repræſentari. </s>
            <s xml:space="preserve">Vis mutuæ a diſtantia pendentis,
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            & </s>
            <s xml:space="preserve">ea variata itidem variatæ, atque ad omnes in immenſum
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            & </s>
            <s xml:space="preserve">magnas, & </s>
            <s xml:space="preserve">parvas diſtantias pertinentis, habemus exem-
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            plum in ipſa Newtoniana generali gravitate mutata in ratio-
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            ne reciproca duplicata diſtantiarum, quæ idcirco nunquam e
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            poſitiva in negativam migrare poteſt, adeoque ab attractiva
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            ad repulſivam, ſive a determinatione ad acceſſum ad deter-
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            minationem ad receſſum nuſquam migrat. </s>
            <s xml:space="preserve">Verum in elaſtris
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            inſlexis habemus etiam imaginem ejuſmodi vis mutuæ variatæ
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            ſecundum diſtantias, & </s>
            <s xml:space="preserve">a determinatione ad receſſum migran-
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            tis in determinationem ad acceſſum, & </s>
            <s xml:space="preserve">vice verſa. </s>
            <s xml:space="preserve">Ibi enim
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            ſi duæ cuſpides, compreſſo elaſtro, ad ſe invicem accedant,
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            acquirunt determinationem ad receſſum, eo majorem, quo ma-
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            gis, compreſſo elaſtro, diſtantia decreſcit; </s>
            <s xml:space="preserve">aucta diſtantia
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            cuſpidum, vis ad receſſum minuitur, donec in quadam di-
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            ſtantia evaneſcat, & </s>
            <s xml:space="preserve">fiat prorſus nulla; </s>
            <s xml:space="preserve">tum diſtantia adhuc
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            aucta, incipit determinatio ad acceſſum, quæ perpetuo eo
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            magis creſcit, quo magis cuſpides a ſe invicem recedunt: </s>
            <s xml:space="preserve">ac
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            ſi e contrario cuſpidum diſtantia minuatur perpetuo; </s>
            <s xml:space="preserve">determi-
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            natio ad acceſſum itidem minuetur, evaneſcet, & </s>
            <s xml:space="preserve">in determi-
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            nationem ad receſſum mutabitur. </s>
            <s xml:space="preserve">Ea determinatio oritur uti-
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            que non ab immediata cuſpidum actione in ſe invicem, ſed
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            a natura, & </s>
            <s xml:space="preserve">forma totius intermediæ laminæ plicatæ; </s>
            <s xml:space="preserve">ſed
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            hic phyſicam rei cauſam non moror, & </s>
            <s xml:space="preserve">ſolum perſequor ex-
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            emplum determinationis ad acceſſum, & </s>
            <s xml:space="preserve">receſſum, quæ deter-
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            minatio in aliis diſtantiis alium habeat niſum, & </s>
            <s xml:space="preserve">migret et-
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            iam ab altera in alteram.</s>
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            <s xml:space="preserve">10. </s>
            <s xml:space="preserve">Lex autem virium eſt ejuſmodi, ut in minimis diſtan-
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              <note position="right" xlink:label="note-0057-02" xlink:href="note-0057-02a" xml:space="preserve">Virium ea-
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              runde
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              lex.</note>
            tiis ſint repulſivæ, atque eo majores in infinitum, quo diſtan-
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            tiæ ipſæ minuuntur in infinitum, ita, ut pares ſint </s>
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