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

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              <pb o="131" file="0183" n="183" rhead="PARS SECUNDA."/>
            x (CC - 2Cc + cc), vel {4Qq/Q + q} x(CC-2Cc+cc),
              <lb/>
            quod deſtruit ſummam ſecundi terminorum binarii, remanen-
              <lb/>
            te ſola illa QCC + qcc, ſumma quadratorum velocitatum
              <lb/>
            præcedentium ducta in maſſas. </s>
            <s xml:space="preserve">Sed hæc æqualitas nec habetur
              <lb/>
            in mollibus, nec in imperfecte elaſticis.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">276. </s>
            <s xml:space="preserve">Veniendo jam ad congreſſus obliquos, deveniant dato
              <lb/>
              <note position="right" xlink:label="note-0183-01" xlink:href="note-0183-01a" xml:space="preserve">Colliſionis ob-
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              liquæ commu-
                <lb/>
              nis methodus
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              per virium re-
                <lb/>
              ſolutionem.</note>
            tempore bini globi A, C in fig. </s>
            <s xml:space="preserve">42 per rectas quaſcunque
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            AB, CD, quæ illorum velocitates metiantur, in B, & </s>
            <s xml:space="preserve">D
              <lb/>
            ad phyſicum contactum, in quo jam ſenſibilem effectum edunt
              <lb/>
            vires mutuæ. </s>
            <s xml:space="preserve">Communi methodo colliſionis effectus ſic defini-
              <lb/>
              <note position="right" xlink:label="note-0183-02" xlink:href="note-0183-02a" xml:space="preserve">Fig. 42.</note>
            tur. </s>
            <s xml:space="preserve">Junctis eorum centris per rectam BD, ducantur ad eam
              <lb/>
            productam, qua opus eſt, perpendicula AF, CH, & </s>
            <s xml:space="preserve">comple-
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            tis rectangulis AFBE, CHDG reſolvantur ſinguli motus
              <lb/>
            AB, CD in binos; </s>
            <s xml:space="preserve">ille quidem in AF, AE, ſive EB,
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            FB, hic vero in CH, CG, ſive GD, HD. </s>
            <s xml:space="preserve">Primus utro-
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            bique manet illæſus; </s>
            <s xml:space="preserve">ſecundus FB, & </s>
            <s xml:space="preserve">HD colliſionem facit
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            directam. </s>
            <s xml:space="preserve">Inveniantur per legem colliſionis directæ velocitates
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            BI, DK, quæ juxta ejuſmodi leges ſuperius expoſitas habe-
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            rentur poſt colliſionem diverſæ pro diverſis corporum ſpecie-
              <lb/>
            bus, & </s>
            <s xml:space="preserve">componantur cum velocitatibus expoſitis per rectas
              <lb/>
            BL, DQ jacentes in directum cum EB, GD, & </s>
            <s xml:space="preserve">illis æ-
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            quales. </s>
            <s xml:space="preserve">His peractis expriment BM, DP celeritates, ac di-
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            rectiones motuum poſt colliſionem.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">278. </s>
            <s xml:space="preserve">Hoc pacto conſideratur reſolutio motuum, ut vera
              <lb/>
              <note position="right" xlink:label="note-0183-03" xlink:href="note-0183-03a" xml:space="preserve">Compoſitio vi-
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              rium reſolutio-
                <unsure/>
                <lb/>
              ni ſubſtituta.</note>
            quædam reſolutio in duos, quorum alter illæſus perſeveret, al-
              <lb/>
            ter mutationem patiatur, ac in caſu, quem figura exprimit,
              <lb/>
            extinguatur penitus, tum iterum alius producatur. </s>
            <s xml:space="preserve">At ſine ul-
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            la vera reſolutione res vere accidit hoc pacto. </s>
            <s xml:space="preserve">Mutua vis,
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            quæ agit in globos B, D, dat illis toto colliſionis tempore
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            velocitates contrarias BN, DS æquales in caſu, quem figura
              <lb/>
            exprimit, binis illis, quarum altera vulgo concipitur ut eliſa,
              <lb/>
            altera ut renaſcens. </s>
            <s xml:space="preserve">Eæ compoſitæ cum BO, DR jacentibus
              <lb/>
            in directum cum AB, CD, & </s>
            <s xml:space="preserve">æqualibus iis ipſis, adeoque
              <lb/>
            exprimentibus effectus integros præcedentium velocitatum, ex-
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            hibent illas ipſas velocitates BM, DP. </s>
            <s xml:space="preserve">Facile enim patet,
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            fore LO æqualem AE, ſive FB, adeoque MO æqualem
              <lb/>
            NB, & </s>
            <s xml:space="preserve">BNMO fore parallelogrammum; </s>
            <s xml:space="preserve">ac eadem demon-
              <lb/>
            ſtratione eſt itidem parallelogrammum DRPS. </s>
            <s xml:space="preserve">Quamobrem
              <lb/>
            nulla ibi eſt vera reſolutio, ſed ſola compoſitio motuum, per-
              <lb/>
            ſeverante nimirum velocitate priore per vim inertiæ, & </s>
            <s xml:space="preserve">ea
              <lb/>
            compoſita cum nova velocitate, quam generant vires, quæ a-
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            gunt in colliſione.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">278. </s>
            <s xml:space="preserve">Idem etiam mihi accidit, ubi oblique globus incurrit in
              <lb/>
              <note position="right" xlink:label="note-0183-04" xlink:href="note-0183-04a" xml:space="preserve">Compoſitio re-
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              ſolutioni ſub-
                <lb/>
              ſtituta etiam
                <lb/>
              ubi globus in-
                <lb/>
              currit in pla.</note>
            planum, ſive conſideretur motus, qui haberi debet deinde, ſive
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            percuſſionis obliquæ energia reſpectu perpendicularis. </s>
            <s xml:space="preserve">Deveniat
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            in fig. </s>
            <s xml:space="preserve">43 globus A cum directione obliqua AB ad </s>
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