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

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            enim ſingulis ejus ſtatibus ducatur perpendicularis reſpondens;
              <lb/>
            </s>
            <s xml:space="preserve">vertices omnium ejuſmodi perpendicularium erunt utique ad li-
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            neam quandam continuam. </s>
            <s xml:space="preserve">Si ea linea nuſquam ad alteram
              <lb/>
            abeat axis partem, ſi ea formula nullum valorem negativum
              <lb/>
            habeat; </s>
            <s xml:space="preserve">illa etiam quantitas ſemper poſitiva manebit. </s>
            <s xml:space="preserve">Sed ſi
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            mutet latus linea, vel formula valoris ſignum; </s>
            <s xml:space="preserve">ipſa illa quan-
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            titas debebit itidem ejuſmodi mutationem habere. </s>
            <s xml:space="preserve">Ut autem
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            a formulæ, vel lineæ exprimentis natura, & </s>
            <s xml:space="preserve">poſitione reſpectu
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            axis mutatio pendet; </s>
            <s xml:space="preserve">ita mutatio eadem a natura quantitatis
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            illius pendebit; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ut nec duæ formulæ, nec duæ lineæ ſpeciei
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            diverſæ ſunt, quæ poſitiva exhibent, & </s>
            <s xml:space="preserve">negativa; </s>
            <s xml:space="preserve">ita nec in
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            ea quantitate duæ erunt naturæ, duæ ſpecies, quarum altera
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            exhibeat poſitiva, altera negativa, ut altera progreſſus, altera
              <lb/>
            regreſſus; </s>
            <s xml:space="preserve">altera acceſſus, altera receſſus; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">hic altera attra-
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            ctiones, altera repulſiones exhibeat; </s>
            <s xml:space="preserve">ſed eadem erit, uniea, & </s>
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            ad eandem pertinens quantitatis ſpeciem tota.</s>
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          <p>
            <s xml:space="preserve">111. </s>
            <s xml:space="preserve">Quin immo hic locum habet argumentum quoddam,
              <lb/>
              <note position="left" xlink:label="note-0102-01" xlink:href="note-0102-01a" xml:space="preserve">An habeatur
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              tranſitus e po-
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              ſitivis in nega-
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              tiva; inveſtiga-
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              tio ex ſola cur-
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              varum natura.</note>
            quo uſus ſum in diſſertatione De Lege Continuitatis, quo ni-
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            mirum Theoria virium attractivarum, & </s>
            <s xml:space="preserve">repulſivarum pro
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            diverſis diſtantiis, multo magis rationi conſentanea evincitur,
              <lb/>
            quam Theoria virium tantummodo attractivarum, vel tan-
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            tummodo repulſivarum. </s>
            <s xml:space="preserve">Fingamus illud, nos ignorare penitus,
              <lb/>
            quodnam virium genus in Natura exiſtat, an tantummodo at-
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            tractivarum, vel repulſivarum tantummodo, an utrumque ſi-
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            mul: </s>
            <s xml:space="preserve">hac ſane ratiocinatione ad eam perquiſitionem uti liceret.
              <lb/>
            </s>
            <s xml:space="preserve">Erit utique aliqua linea continua, quæ per ſuas ordinatas ad
              <lb/>
            axem exprimentem diſtantias, vires ipſas determinabit, & </s>
            <s xml:space="preserve">pro-
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            ut ipſa axem ſecuerit, vel non ſecuerit; </s>
            <s xml:space="preserve">vires erunt alibi at-
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            tractivæ, alibi repulſivæ; </s>
            <s xml:space="preserve">vel ubique attractivæ tantum, aut
              <lb/>
            repulſivæ tantum. </s>
            <s xml:space="preserve">Videndum igitur, an ſit rationi conſenta-
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            neum magis, lineam ejus naturæ, & </s>
            <s xml:space="preserve">poſitionis cenſere, ut
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            axem alicubi ſecet, an ut non ſecet.</s>
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          </p>
          <p>
            <s xml:space="preserve">112. </s>
            <s xml:space="preserve">Inter rectas axem rectilineum unica parallela ducta per
              <lb/>
              <note position="left" xlink:label="note-0102-02" xlink:href="note-0102-02a" xml:space="preserve">Tranſitum de-
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              duci ex eo,
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              quod plures
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              ſintcurvæ, quas
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              recte ſecent,
                <lb/>
              quam eæ, quas
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              non ſecent.</note>
            quodvis datum punctum non ſecat, omnes aliæ numero infi-
              <lb/>
            nitæ ſecant alicubi. </s>
            <s xml:space="preserve">Curvarum nulla eſt, quam infinitæ nu-
              <lb/>
            mero rectæ ſecare non poſſint; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">licet aliquæ curvæ ejus na-
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            turæ ſint, ut eas aliquæ rectæ non ſecent; </s>
            <s xml:space="preserve">tamen & </s>
            <s xml:space="preserve">eas ip-
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            ſas aliæ infinitæ numero rectæ ſecant, & </s>
            <s xml:space="preserve">infinitæ numero c
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            r-
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            væ, quod Geometriæ ſublimioris peritis eſt notiſſimum,
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            ſunt ejus naturæ, ut nulla prorſus ſit recta linea, a qua poſ-
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            ſint non ſecari. </s>
            <s xml:space="preserve">Hujuſinodi ex. </s>
            <s xml:space="preserve">gr. </s>
            <s xml:space="preserve">eſt parabola illa, cujus
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            ordinatæ ſunt in ratione triplicata abſciſſarum. </s>
            <s xml:space="preserve">Quare infini-
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            tæ numero curvæ ſunt, & </s>
            <s xml:space="preserve">infinitæ numero rectæ, quæ ſe-
              <lb/>
            ctionem neceſſario habeant, pro quavis recta, quæ non ha-
              <lb/>
            beat, & </s>
            <s xml:space="preserve">nulla eſt curva, quæ ſectionem cum axe habere non
              <lb/>
            poſſit. </s>
            <s xml:space="preserve">Ergo inter caſus poſſibiles multo plures ſunt ii, qui
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            ſectionem admittant, quam qui ea careant; </s>
            <s xml:space="preserve">adeoque ſecluſis
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            rationibus aliis omnibus, & </s>
            <s xml:space="preserve">ſola caſuum probabilitate, & </s>
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