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

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          <head xml:space="preserve">§. VI.
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          EPISTOLA AUCTORIS
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          AD
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          P. CAROLUM SCHERFFER.
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          SOCIETATIS JESU.</head>
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            <s xml:space="preserve">93. </s>
            <s xml:space="preserve">IN meo diſceſſu Vienna reliqui apud Reverentiam Ve-
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              <note position="right" xlink:label="note-0349-01" xlink:href="note-0349-01a" xml:space="preserve">Occaſio, &
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              argumentum e-
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              piſtolæ.</note>
            ſtram imprimendum opus, cujus conſcribendi occaſio-
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            nem præbuit Syſtema trium maſſarum, quarum vires
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            mutuæ Theoremata exhibuerunt & </s>
            <s xml:space="preserve">elegantia, & </s>
            <s xml:space="preserve">fœcunda, per-
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            tinentia tam ad directionem, quam ad rationem virium com-
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            poſitarum e binis in maſſis ſingulis. </s>
            <s xml:space="preserve">Ex iis Theorematis evolvi
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            nonnulla, quæ in ipſo primo inventionis æſtu, & </s>
            <s xml:space="preserve">ſcriptionis
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            fervore quodam, atque impetu ſe ſe obtulerunt. </s>
            <s xml:space="preserve">Sunt autem & </s>
            <s xml:space="preserve">
              <lb/>
            alia, potiſſimum nonnulla ad centrum percuſſionis pertinentia
              <lb/>
            ibi attactum potius, quam pertractatum, quæ mihi deinde oc-
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            currerunt & </s>
            <s xml:space="preserve">in itinere, & </s>
            <s xml:space="preserve">hic in Hetruria, ubi me negotia mi-
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            hi commiſſa detinuerunt hucuſque, quæ quidem ad Reveren-
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            tiam Veſtram tranſmittenda cenſui, ut ſi ſorte ſatis mature ad-
              <lb/>
            venerint, ad calcem operis addi poſſint; </s>
            <s xml:space="preserve">pertinent enim ad com-
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            plementum eorum, quæ ibidem expoſui, & </s>
            <s xml:space="preserve">ad alias ſublimio-
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            res, ac utiliſſimas perquiſitiones viam ſternunt.</s>
            <s xml:space="preserve"/>
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          <p>
            <s xml:space="preserve">94. </s>
            <s xml:space="preserve">Inprimis ego quidem ibi conſideravi directiones virium in
              <lb/>
              <note position="right" xlink:label="note-0349-02" xlink:href="note-0349-02a" xml:space="preserve">Translatio the-
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              oriæ centri o-
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              ſcillationis a
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              maſſis jacenti-
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              bus intra idem
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              planum, ad
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              ubicunque poſi-
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              tas aſſirmata in
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              opere, hic de-
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              monſtranda.</note>
            eodem illo plano, in quo jacent tres maſſæ, & </s>
            <s xml:space="preserve">idcirco ubi
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            Theoremata applicavi ad centrum æquilibrii, & </s>
            <s xml:space="preserve">oſcillationis pro
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            pluribus etiam maſſis, reſtrinxi Theoriam ad caſum, in quo o-
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            mnes maſſæ jaceant in eodem plano perpendiculari ad axem
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            converſionis. </s>
            <s xml:space="preserve">In nonnullis Scholiis tantummodo innui, poſſe
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            rem transſerri ad maſſas, utcunque diſperſas, ſi eæ reducantur
              <lb/>
            ad id planum per rectas penpendiculares plano eidem; </s>
            <s xml:space="preserve">ſed ejus
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            applicationis per ejuſmodi reductionem nullam exhibui demon-
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            ſtrationem, & </s>
            <s xml:space="preserve">affirmavi, requiri ſyſtema quatuor maſſarum ad
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            rem generaliter pertractandam.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">95. </s>
            <s xml:space="preserve">At admodum facile demonſtratur ejuſmodi reductionem
              <lb/>
              <note position="right" xlink:label="note-0349-03" xlink:href="note-0349-03a" xml:space="preserve">Viribus triun
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                <lb/>
              maſſarum in
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              eodem plano,
                <lb/>
              in quo jacent,
                <lb/>
              translatis ad a-
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              liud, rem ob-
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              tineri.</note>
            rite fieri, & </s>
            <s xml:space="preserve">ſine nova peculiari Theoria maſſarum quatuor ge-
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            neralis habetur applicatio tenui extenſione Theoriæ maſſarum
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            trium. </s>
            <s xml:space="preserve">Nimirum ſi concipiatur planum quodvis, & </s>
            <s xml:space="preserve">vires ſin-
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            gulæ reſolvantur in duas, alteram perpendicularem plano ipſi,
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            alteram parallelam; </s>
            <s xml:space="preserve">priorum ſumma elidetur, cum oriantur e
              <lb/>
            viribus mutuis contrariis, & </s>
            <s xml:space="preserve">æqualibus, quæ ad quamcunque
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            datam directionem redactæ æquales itidem remanent, & </s>
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