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

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            ſtantiæ AL limitis non cohæſionis figuræ I; </s>
            <s xml:space="preserve">ſecundus diſtantiæ
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              <note position="right" xlink:label="note-0161-01" xlink:href="note-0161-01a" xml:space="preserve">Fig. I.
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              33.</note>
            AN limitis cohæſionis; </s>
            <s xml:space="preserve">tertius diſtantiæ AP limitis iterum non
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            cohæſionis, & </s>
            <s xml:space="preserve">primo quidem collocetur C aliquanto ultra pe-
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            rimetrum mediam F'E'O'H': </s>
            <s xml:space="preserve">erunt AC, BC majores, quam
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            ſi eſſent in perimetro, adeoque in fig. </s>
            <s xml:space="preserve">I factis A u, A z ma-
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            joribus, quam eſſent prius, decreſcet repulſio zt, creſcet attra-
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            ctio u y; </s>
            <s xml:space="preserve">ac proinde hic in parallelogrammo LC MI erit at-
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            tractio CL major, quam repulſio CM, & </s>
            <s xml:space="preserve">idcirco accedet di-
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            rectio diagonalis CI magis ad CL, quam ad CM, & </s>
            <s xml:space="preserve">infle-
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            ctetur introrſum verſus perimetrum mediam. </s>
            <s xml:space="preserve">Contra vero ſi
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            C' ſit intra perimetrum mediam, factis BC', AC' minoribus,
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            quam ſi eſſent in perimetro media; </s>
            <s xml:space="preserve">creſcet repulſio C'M', & </s>
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            decreſcet attractio C'L', adeoque directio C'I' accedet magis
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            ad priorem C'M', quam ad poſteriorem C'L', & </s>
            <s xml:space="preserve">vis dirigetur
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            extrorſum verſus eandem mediam perimetrum. </s>
            <s xml:space="preserve">Contrarium
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            autem accideret ob rationem omnino ſimilem in vicinia primæ,
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            vel tertiæ perimetri: </s>
            <s xml:space="preserve">atque inde patet, quod fuerat propoſitum.</s>
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          <p>
            <s xml:space="preserve">236. </s>
            <s xml:space="preserve">Quoniam arcus hinc, & </s>
            <s xml:space="preserve">inde a quovis limite non ſunt
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              <note position="right" xlink:label="note-0161-02" xlink:href="note-0161-02a" xml:space="preserve">Alias curvas
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              ellipſibus ſub-
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              ſtituendas: am.
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              pla problema-
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              tum ſeges, ſed
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              minus utilis:
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              immenſa com-
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              binationum va-
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              rietas.</note>
            prorſus æquales; </s>
            <s xml:space="preserve">quanquam, ut ſupra obſervavimus num. </s>
            <s xml:space="preserve">184,
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            exigui arcus ordinatas ad ſenſum æquales hinc, & </s>
            <s xml:space="preserve">inde habere
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            debeant; </s>
            <s xml:space="preserve">curva, per cujus tangentem perpetuo dirigatur vis,
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            licet in exigua eccentricitate debeat eſſe ad ſenſum ellipſis, ta-
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            men nec in iis erit ellipſis accurate, nec in eccentricitatibus ma-
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            joribus ad ellipſes multum accedet. </s>
            <s xml:space="preserve">Erunt tamen ſemper ali-
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            quæ curvæ, quæ determinent continuam directionem virium,
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            & </s>
            <s xml:space="preserve">curvæ etiam, quæ trajectoriam deſcribendam definiant, ha-
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            bita quoque ratione vis centrifugæ: </s>
            <s xml:space="preserve">atque hic quidem uberrima
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            ſeges ſuccreſcit problematum Geometriæ, & </s>
            <s xml:space="preserve">Analyſi exercen-
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            dæ aptiſſimorum; </s>
            <s xml:space="preserve">ſed omnem ego quidem ejuſmodi perquiſi-
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            tionem omittam, cujus nimirum ad Theoriæ applicationem
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            uſus mihi idoneus occurrit nullus; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quæ huc uſque vidi-
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            mus, abunde ſunt ad oſtendendam elegantem ſane analogiam
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            alternationis in directione virium agentium in latus, cum vi-
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            ribus primigeniis ſimplicibus, ac harum limitum cum illa-
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            rum limitibus, & </s>
            <s xml:space="preserve">ad ingerendam animo ſemper magis ca-
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            ſuum, & </s>
            <s xml:space="preserve">combinationum diverſarum ubertatem tantam in ſo-
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            Io etiam trium punctorum ſyſtemate ſimpliciſſimo; </s>
            <s xml:space="preserve">unde con-
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            jectare liceat, quid futurum ſit, ubi immenſus quidam puncto-
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            rum numerus coaleſcat in maſſulas conſtituentes omnem hanc
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            uſque adeo inter ſe diverſorum corporum multitudinem ſane
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            immenſam.</s>
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          <p>
            <s xml:space="preserve">237. </s>
            <s xml:space="preserve">At præterea eſt & </s>
            <s xml:space="preserve">alius inſignis, ac magis deter-
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              <note position="right" xlink:label="note-0161-03" xlink:href="note-0161-03a" xml:space="preserve">Converſio t
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              -
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              tius ſyſtematis
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              illæſi: impul-
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              ſu per perime-
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              trum ellipſeos
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              oſcillatio: idea
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              liquationis, &
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              conglaciatio-
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              nis.</note>
            minatus fructus, quem ex ejuſmodi contemplationibus cape-
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            re poſſumus, uſui futurus etiam in applicatione Theoriæ ad
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            Phyſicam. </s>
            <s xml:space="preserve">Si nimirum duo puncta A, & </s>
            <s xml:space="preserve">B ſint in diſtan-
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            tia limitis cohæſionis ſatis validi, & </s>
            <s xml:space="preserve">punctum tertium colloca-
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            tum in vertice axis conjugati in E diſtantiam a reliquis habeat,
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            quam habet limes itidem cohæſionis ſatis validus; </s>
            <s xml:space="preserve">poterit </s>
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