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

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              <pb o="7" file="0059" n="59" rhead="PARS PRIMA."/>
            aſymptoticum, qui nimirum ad partes BD, ſi indefinite pro-
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            ducatur ultra quoſcunque limites, ſemper magis accedit ad re-
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            ctam A B productam ultra quoſcunque limites, quin unquam ad
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            eandem deveniat; </s>
            <s xml:space="preserve">hinc vero verſus DE perpetuo recedit ab
              <lb/>
            eadem recta, immo etiam perpetuo verſus V ab eadem rece-
              <lb/>
            dunt arcus reliqui omnes, qum uſpiam receſſus mutetur in
              <lb/>
            acceſſum. </s>
            <s xml:space="preserve">Ad axem C'C perpetuo primum accedit, donec
              <lb/>
            ad ipſum deveniat alicubi in E; </s>
            <s xml:space="preserve">tum eodem ibi ſecto progre-
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            ditur, & </s>
            <s xml:space="preserve">ab ipſo perpetuo recedit uſque ad quandam diſtan-
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            tiam F, poſt quam receſſum in acceſſum mutat, & </s>
            <s xml:space="preserve">iterum
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            ipſum axem ſecat in G, ac flexibus continuis contorquetur
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            circa ipſum, quem pariter ſecat in punctis quamplurimis, ſed
              <lb/>
            paucas admodum ejuſmodi ſectiones figura exhibet, uti I, L,
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            N, P, R. </s>
            <s xml:space="preserve">Demum is arcus deſinit in alterum crus T p s V,
              <lb/>
            jacens ex parte oppoſita axis reſpectu primi cruris, quod alte-
              <lb/>
            rum crus ipſum habet axem pro aſymptoto, & </s>
            <s xml:space="preserve">ad ipſum acce-
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            dit ad ſenſum
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            ta, ut diſtantiæ ab ipſo ſint in ratione recipro-
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            ca duplicata diſtantiarum a recta B A.</s>
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          </p>
          <p>
            <s xml:space="preserve">13. </s>
            <s xml:space="preserve">Si ex quovis axis puncto a, b, d, erigatur uſque ad
              <lb/>
              <note position="right" xlink:label="note-0059-01" xlink:href="note-0059-01a" xml:space="preserve">Abſciſſæ expri-
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              mentes diſtan-
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              tias, ordinatæ
                <lb/>
              exprinmentes
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              vires.</note>
            curvam recta ipſi perpendicularis ag, br, db, ſegmentum axis
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            Aa, Ab, Ad, dicitur abſciſſa, & </s>
            <s xml:space="preserve">refert diſtantiam duorum
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            materiæ punctorum quorumcunque a ſe invicem; </s>
            <s xml:space="preserve">perpendicu-
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            laris ag, br, db, dicitur ordinata, & </s>
            <s xml:space="preserve">exhibet vim repulſi-
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            vam, vel attractivam, prout jacet reſpectu axis ad partes D,
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            vel oppoſitas.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">14. </s>
            <s xml:space="preserve">Patet autem, in ea curvæ forma ordinatam ag augeri
              <lb/>
              <note position="right" xlink:label="note-0059-02" xlink:href="note-0059-02a" xml:space="preserve">Mutationes
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              ordinatarum,
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              & virium ſiis
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              expreſſarum.</note>
            ultra quoſcunque limites, ſi abſciſſa Aa, minuatur pariter ul-
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            tra quoſcunque limites; </s>
            <s xml:space="preserve">quæ ſi augeatur, ut abeat in A b, or-
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            dinata minuetur, & </s>
            <s xml:space="preserve">abibit in br, perpetuo imminutam in ac-
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            ceſſu b ad E, ubi evaneſcet: </s>
            <s xml:space="preserve">tum aucta abſciſſa in A d, mu-
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            tabit ordinata directionem in db, ac ex parte oppoſita auge-
              <lb/>
            bitur prius uſque ad F, tum decreſcet per il uſque ad G, ubi
              <lb/>
            evaneſcet, & </s>
            <s xml:space="preserve">iterum mutabit directionem regreſſa in mn ad
              <lb/>
            illam priorem, donec poſt evaneſcentiam, & </s>
            <s xml:space="preserve">directionis mn ad
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            tationem factam in omnibus ſectionibus I, L, N, P, R,
              <lb/>
            fiant ordinatæ op, vs, directionis conſtantis, & </s>
            <s xml:space="preserve">decreſcentes
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            ad ſenſum in ratione reciproca duplicata abſciſſarum A o, A v.
              <lb/>
            </s>
            <s xml:space="preserve">Quamobrem illud e
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              <gap/>
            manifeſtum, per ejuſmodi curvam expri-
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            mi eas ipſas vires, initio repulſivas, & </s>
            <s xml:space="preserve">imminutis in infini-
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            tum diſtantiis auctas in infinitum, auctis imminutas, tum eva-
              <lb/>
            neſcentes, abeuntes, mutata directione, in attractivas, ac ite-
              <lb/>
            rum evaneſcentes, mutataſque per vices; </s>
            <s xml:space="preserve">donec demum in
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            ſatis magna diſtantia evadant attractivæ ad ſenſum in ratione
              <lb/>
            reciproca duplicata diſtantiarum.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">15. </s>
            <s xml:space="preserve">Hæc virium lex a Newtoniana gravitate differt in du-
              <lb/>
              <note position="right" xlink:label="note-0059-03" xlink:href="note-0059-03a" xml:space="preserve">Diſcrimen hu-
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              jus legis viri-
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              um a gravitate
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              Newtoniana:
                <lb/>
              ejus uſus in
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              phyſica: ordo</note>
            ctu, & </s>
            <s xml:space="preserve">progreſſu curvæ eam exprimentis, quæ nimirum, ut in
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            fig. </s>
            <s xml:space="preserve">2, apud Newtonum eſt hyperbola D V gradus tertii, ja-
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            cens tota citra axem, quem nuſpiam ſecat, jacentibus </s>
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