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

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              <pb o="287" file="0339" n="339" rhead="SUPPLEMENTA §. III."/>
            æque valet, ſi vis non eſt ipſi materiæ eſſentialis, ſed libera
              <lb/>
            Auctoris lege ſancita, quo caſu ipſe pro libero arbitrio ſuo
              <lb/>
            hanc huic materiæ potuit legem dare præ aliis electam.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">73. </s>
            <s xml:space="preserve">At ſi ratio etiam exhiberi debeat, quæ Auctorem Na-
              <lb/>
              <note position="right" xlink:label="note-0339-01" xlink:href="note-0339-01a" xml:space="preserve">Præter arbi-
                <lb/>
              trium retorſio
                <lb/>
              in potentia :
                <lb/>
              rationem utro-
                <lb/>
              bique eſſe fines,
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              quos ſibi ipſe
                <lb/>
              propoſuerit, qui
                <lb/>
              poſſunt eſſe no-
                <lb/>
              bis ignoti.</note>
            turæ potuerit impellere ad ſeligendam materiam hac potiſſi-
              <lb/>
            mum præditam eſſentiali virium lege, vel ad ſeligendam pro
              <lb/>
            hac materia hanc legem virium; </s>
            <s xml:space="preserve">quæri primo poteſt, cur
              <lb/>
            hunc potius exponentem potentiæ elegerit, & </s>
            <s xml:space="preserve">hanc parame-
              <lb/>
            trum in unitate incluſam, ſive in quadam determinata diſtan-
              <lb/>
            tia quandam determinatam vim. </s>
            <s xml:space="preserve">Quod de iis dicitur, appli-
              <lb/>
            cari poterit parametris reliquis functionis cujuſvis. </s>
            <s xml:space="preserve">Ut ille ex-
              <lb/>
            ponens, illa unitas, ille nexus potuit habere aliquid, quod cæ-
              <lb/>
            teris præſtaret ad eos obtinendos fines, quos ſibi Naturæ Au-
              <lb/>
            ctor præſcripſit; </s>
            <s xml:space="preserve">ſic etiam aliquid ejuſmodi habere poterant re-
              <lb/>
            liquæ omnes quotcumque, & </s>
            <s xml:space="preserve">qualeſcunque parametri.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">74. </s>
            <s xml:space="preserve">Deinde rem ipſam diligenter conſideranti facile patebit,
              <lb/>
              <note position="right" xlink:label="note-0339-02" xlink:href="note-0339-02a" xml:space="preserve">Evolutio finis
                <lb/>
              ipſius: neceſſi-
                <lb/>
              tas habendi
                <lb/>
              hunc nexum
                <lb/>
              ab Algebra hu-
                <lb/>
              mana non ex-
                <lb/>
              primibilem, ni-
                <lb/>
              ſi per functio-
                <lb/>
              nem, ad ſolven-
                <lb/>
              dum creationis
                <lb/>
              problema pro
                <lb/>
              hac corporum
                <lb/>
              conſtitutione,
                <lb/>
              & motuum ſe-
                <lb/>
              rie.</note>
            ad obtinendos fines, quos ſibi Naturæ Auctor debuit propone-
              <lb/>
            re, non fuiſſe aptam ſolam potentiam quandam diſtantiæ pro
              <lb/>
            lege virium, ſed debuiſſe aſſumi functionem, quæ ubi exprimi
              <lb/>
            deberet per noſtram humanam Algebram, alias quoque para-
              <lb/>
            metros admiſceret. </s>
            <s xml:space="preserve">Si ex. </s>
            <s xml:space="preserve">gr. </s>
            <s xml:space="preserve">voluiſſet per eandem vim & </s>
            <s xml:space="preserve">mo-
              <lb/>
            tum Planetarum ad ſenſum ellipticum cum Kepleriano nexu
              <lb/>
            inter quadrata temporum periodicorum, & </s>
            <s xml:space="preserve">cubos diſtantiarum
              <lb/>
            mediarum, & </s>
            <s xml:space="preserve">cohæſionem per contactum, nulla ſola potentia
              <lb/>
            ad utrumque præſtandum finem fuiſſet ſatis, quem finem ob-
              <lb/>
            tinuiſſet illa formula { a/x
              <emph style="super">2</emph>
            } + { b/x
              <emph style="super">3</emph>
            }. </s>
            <s xml:space="preserve">At nec ea formula potuit i-
              <lb/>
            pſi ſufficere, ſi vera eſt Theoria mea, cum ea formula nullam
              <lb/>
            habeat in minimis diſtantiis vim contrariam vi in maximis,
              <lb/>
            ſed in omnibus diſtantiis eandem, nimirum in minimis attra-
              <lb/>
            ctivam, ut in maximis. </s>
            <s xml:space="preserve">Cohæſio punctorum ſe invicem re-
              <lb/>
            pellentium in minimis diſtantiis, & </s>
            <s xml:space="preserve">attrahentium in majori-
              <lb/>
            bus haberi non potuit ſine interſectione curvæ cum axe, quæ
              <lb/>
            interſectio ſine parametro aliquo non obtinetur. </s>
            <s xml:space="preserve">Verum ad o-
              <lb/>
            mnem hanc phænomenorum ſeriem obtinendam multo pluri-
              <lb/>
            bus, uti oſtenſum eſt ſuo loco, interſectionibus curvæ, & </s>
            <s xml:space="preserve">fle-
              <lb/>
            xibus tam variis opus erat, quæ ſine plurimis parametris ob-
              <lb/>
            tineri non poterant. </s>
            <s xml:space="preserve">Conſideretur elevatiſſimum inverſum pro-
              <lb/>
            blema affine alteri, cujus mentio eſt facta num. </s>
            <s xml:space="preserve">547, quo quæ-
              <lb/>
            ratur numerus punctorum, & </s>
            <s xml:space="preserve">lex virium mutuarum commu-
              <lb/>
            nis omnibus neceſſaria ab habendam ope cujuſdam primæ com-
              <lb/>
            binationis, hanc omnem tam diuturnam, tam variam phæno-
              <lb/>
            menorum ſeriem, cujus perquam exiguam particulam nos ho-
              <lb/>
            mines intuemur, & </s>
            <s xml:space="preserve">ſtatim patebit elevatiſſimum debere eſſe,
              <lb/>
            & </s>
            <s xml:space="preserve">reſpectu habito ad noſtros exprimendi modos complicatiſ-
              <lb/>
            ſimum genus curvæ ad ejuſmodi problematis ſolutionem </s>
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