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

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            eſſe alii limites, ac tranſitus ab una directione virium ad aliam
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              <note position="right" xlink:label="note-0137-01" xlink:href="note-0137-01a" xml:space="preserve">ribus aſy
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              pto-
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              ticis-</note>
            non per evaneſcentiam, ſed per vires auctas in infinitum, ni-
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            mirum per aſymptoticos curvæ arcus. </s>
            <s xml:space="preserve">Diximus ſupra num.
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            </s>
            <s xml:space="preserve">168. </s>
            <s xml:space="preserve">adnot. </s>
            <s xml:space="preserve">(i), quando crus aſymptoticum abit in infini-
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            tum, debere ex infinito regredi crus aliud habens pro aſym-
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            ptoto eandem rectam, & </s>
            <s xml:space="preserve">poſſe regredi cum quatuor di-
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            verſis poſitionibus pendentibus a binis partibus ipſius rectæ,
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            & </s>
            <s xml:space="preserve">binis plagis pro ſingulis rectæ partibus; </s>
            <s xml:space="preserve">ſed cum noſtra cur-
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            va debeat ſemper progredi, diximus, relinqui pro ea binas ex
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            ejuſmodi quatuor poſitionibus pro quovis crure abeunte in in-
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            finitum, in quibus nimirum regreſſus fiat ex plaga oppoſita. </s>
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            Quoniam vero, progrediente curva, abire poteſt in infinitum tam
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            crus repulſivum, quam crus attractivum; </s>
            <s xml:space="preserve">jam iterum fiunt caſus
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            quatuor poſſibiles, quos exprimunt figuræ 16, 17, 18, & </s>
            <s xml:space="preserve">19, in
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              <note position="right" xlink:label="note-0137-02" xlink:href="note-0137-02a" xml:space="preserve">Fig. 16,
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              17, 18, 19,</note>
            quibus omnibus eſt axis ACB, aſymptotus DCD`, crus rece-
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            dens in infinitum EKF, regrediens ex infinito GMH.</s>
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            <s xml:space="preserve">186. </s>
            <s xml:space="preserve">In fig. </s>
            <s xml:space="preserve">16. </s>
            <s xml:space="preserve">cruri repulſivo EKF ſuccedit itidem re-
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              <note position="right" xlink:label="note-0137-03" xlink:href="note-0137-03a" xml:space="preserve">Quatuor eo,
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              rum genera:
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              bini reſponden-
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              tes contactibus,
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              bini li
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              itibus,
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              alter cohæſio-
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              nis, alter non
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              cohæſionis.</note>
            pulſivum GMH; </s>
            <s xml:space="preserve">in fig. </s>
            <s xml:space="preserve">17 repulſivo attractivum; </s>
            <s xml:space="preserve">in 18.
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            </s>
            <s xml:space="preserve">attractivo attractivum; </s>
            <s xml:space="preserve">in 19 attractivo repulſivum. </s>
            <s xml:space="preserve">Primus
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            & </s>
            <s xml:space="preserve">tertius caſus reſpondent contactibus. </s>
            <s xml:space="preserve">Ut enim in illis eva-
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            neſcebat vis; </s>
            <s xml:space="preserve">ſed directionem non mutabat; </s>
            <s xml:space="preserve">ita & </s>
            <s xml:space="preserve">hic abit
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            quidem in inſinitum, ſed directionem non mutat. </s>
            <s xml:space="preserve">Repulſio-
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            ni IK in fig. </s>
            <s xml:space="preserve">16 ſuccedit repulſio LM; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">attractioni in ſig. </s>
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            18 attractio. </s>
            <s xml:space="preserve">Quare ii caſus non habent limites quoſdam. </s>
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            Secundus, & </s>
            <s xml:space="preserve">quartus habent utique limites; </s>
            <s xml:space="preserve">nam in fig. </s>
            <s xml:space="preserve">17. </s>
            <s xml:space="preserve">re-
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            pulſioni IK ſuccedit attractio LM; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">in Fig. </s>
            <s xml:space="preserve">19 attractioni
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            repulſio; </s>
            <s xml:space="preserve">atque idcirco ſecundus caſus continet limitem cobæ-
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            ſionis, quartus limitem non cobæſionis.</s>
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            <s xml:space="preserve">187. </s>
            <s xml:space="preserve">Ex iſtis caſibus a noſtra curva cenſeo removendos eſſe
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              <note position="right" xlink:label="note-0137-04" xlink:href="note-0137-04a" xml:space="preserve">Nullum in Na-
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              tura admitten-
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              dum præter po-
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              ſtremum, nec
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              vero eum ip-
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              ſum utcunque.</note>
            omnes præter ſolum quartum; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">in hoc ipſo removenda o-
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            mnia crura, in quibus ordinata creſcit in ratione minus,
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            quam ſimplici reciproca diſtantiarum a limite. </s>
            <s xml:space="preserve">Ratio exclu-
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            dendi eſt, ne haberi aliquando vis infinita poſſit, quam & </s>
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            per ſe ſe abſurdam cenſeo, & </s>
            <s xml:space="preserve">idcirco præterea, quod infinita
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            vis natura ſua velocitatem infinitam requirit a ſe generandam
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            finito tempore. </s>
            <s xml:space="preserve">Nam in primo, & </s>
            <s xml:space="preserve">ſecundo caſu punctum col-
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            locatum in ea diſtantia ab alio puncto, quam habet I, ab ori-
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            gine abſciſſarum, abiret ad C per omnes gradus virium aucta-
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            rum in infinitum, & </s>
            <s xml:space="preserve">in C deberet habere vim infinitam; </s>
            <s xml:space="preserve">in
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            tertio vero idem accideret puncto collocato in diſtantia, quam
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            habet L. </s>
            <s xml:space="preserve">At in quarto caſu acceſſum ad C prohibet ex parte I
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            attractio IK, & </s>
            <s xml:space="preserve">ex parte L repulſio LM. </s>
            <s xml:space="preserve">Sed quoniam,
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            ſi eæ creſcant in ratione reciproca minus, quam ſimplici diſtan-
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            tiarum CI, CL; </s>
            <s xml:space="preserve">area FKICD, vel GMLCD erit finita,
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            adeoque punctum impulſum verſus C velocitate majore, quam
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            quæ reſpondeat illi areæ, deberet tranſire per omnes virium
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            magnitudines uſque ad vim abſolute inſinitam in C, quæ </s>
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