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

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              <pb o="134" file="0186" n="186" rhead="THEORIÆ"/>
            repulſivæ agant, & </s>
            <s xml:space="preserve">illa quidem, quæ agit in B, ſit ejuſmodi,
              <lb/>
            ut compoſita cum BO exhibeat BI parallelam plano ipſi, ad-
              <lb/>
            eoque non inducentem ulteriorem acceſſum, ſit autem perpen-
              <lb/>
            dicularis plano ipſi. </s>
            <s xml:space="preserve">Porro ejuſmodi eſt BE, jacens in dire-
              <lb/>
            ctum cum RB, & </s>
            <s xml:space="preserve">ipſi æqualis, cum nimirum debeat eſſe pa-
              <lb/>
            rallela, & </s>
            <s xml:space="preserve">æqualis OI
              <unsure/>
            . </s>
            <s xml:space="preserve">Vis autem æqualis ipſi, & </s>
            <s xml:space="preserve">contraria,
              <lb/>
            adeoque expreſſa per BR, urgebit planum.</s>
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          <p>
            <s xml:space="preserve">282. </s>
            <s xml:space="preserve">Quod ſi grave ſuſpenſum in fig. </s>
            <s xml:space="preserve">45 filo, vel virga
              <lb/>
              <note position="left" xlink:label="note-0186-01" xlink:href="note-0186-01a" xml:space="preserve">Aliud in pen-
                <lb/>
              dulo.</note>
            BC debeat oblique deſcendere per arcum circuli BD; </s>
            <s xml:space="preserve">tum
              <lb/>
            vero in communi methodo gravitatem BO itidem reſolvunt
              <lb/>
              <note position="left" xlink:label="note-0186-02" xlink:href="note-0186-02a" xml:space="preserve">Fig. 45.</note>
            in duas BR, BI, quarum prima filum, vel virgam tendat,
              <lb/>
            & </s>
            <s xml:space="preserve">elidatur, ſecunda acceleret deſcenſum obliquum, qui fieret
              <lb/>
            ex velocitate concepta per rectam BA perpendicularem BC,
              <lb/>
            ac præterea etiam tenſionem fili agnoſcunt ortam a vi centri-
              <lb/>
            fuga, quæ exprimitur per DA perpendicularem tangenti. </s>
            <s xml:space="preserve">At
              <lb/>
            in mea Theoria res hoc pacto procedit. </s>
            <s xml:space="preserve">Globus ex B abit ad
              <lb/>
            D per vires tres compoſitas ſimul cum velocitate præcedente;
              <lb/>
            </s>
            <s xml:space="preserve">prima e viribus eſt vis gravitatis BO; </s>
            <s xml:space="preserve">ſecunda attractio ver-
              <lb/>
            ſus C orta a tenſione fili, vel virgæ, expreſſa per BE paral-
              <lb/>
            lelam, & </s>
            <s xml:space="preserve">æqualem OI, adeoque RB, quæ ſolæ compone-
              <lb/>
            rent vim BI; </s>
            <s xml:space="preserve">tertia eſt attractio in C expreſſa per BH æ-
              <lb/>
            qualem AD orta itidem a tenſione fili reſpondente vi centri-
              <lb/>
            fugæ, & </s>
            <s xml:space="preserve">incurvante motum. </s>
            <s xml:space="preserve">Adeſt præterea velocitas præce-
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            dens, quam exprimit BK æqualis IA, ut ſit BI æqualis
              <lb/>
            KA. </s>
            <s xml:space="preserve">His viribus cum ea velocitate ſimul agentibus erit glo-
              <lb/>
            bus in D in fine ejus tempuſculi, cui ejuſmodi effectus illa-
              <lb/>
            rum virium reſpondent. </s>
            <s xml:space="preserve">Nam ibi debet eſſe, ubi eſſet, ſi aliæ
              <lb/>
            ex illis cauſis agerent poſt alias: </s>
            <s xml:space="preserve">gravitate agente veniret per
              <lb/>
            BO, vi BE abiret per OI, velocitate BK abiret per IA
              <lb/>
            ipſi æqualem, vi BH abiret per AD. </s>
            <s xml:space="preserve">Quamobrem res tota
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            itidem peragitur ſola compoſitione virium, & </s>
            <s xml:space="preserve">motuum.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">283. </s>
            <s xml:space="preserve">Porro ſi ſumatur EG æqualis BH; </s>
            <s xml:space="preserve">tum tota attractio
              <lb/>
              <note position="left" xlink:label="note-0186-03" xlink:href="note-0186-03a" xml:space="preserve">Alia ratio com-
                <lb/>
              ponendi vires
                <lb/>
              in eodem caſu.</note>
            orta a tenſione fili erit BG, quæ prius conſiderata eſt tan-
              <lb/>
            quam e binis partibus in directum agentibus compoſita, ac res
              <lb/>
            eodem redit; </s>
            <s xml:space="preserve">nam ſi priuscomponantur BH, & </s>
            <s xml:space="preserve">BE in BG
              <lb/>
            (quo caſu tota BG ut unica vis haberetur), tum BO, ac
              <lb/>
            demum BK, ad idem punctum D rediretur juxta generalem
              <lb/>
            demonſtrationem, quam dedi num. </s>
            <s xml:space="preserve">259. </s>
            <s xml:space="preserve">Jam vero vi expreſ-
              <lb/>
            ſa per totam BG attraheretur ad centrum ſuſpenſionis C ab
              <lb/>
            integra tenſione fili, ubi pars EG, vel BH ad partem BE
              <lb/>
            habet proportionem pendentem a celeritate BK, ab angulo
              <lb/>
            RBO, ac a radio CB; </s>
            <s xml:space="preserve">ſed iſta meæ Theoriæ cum omnium
              <lb/>
            uſitatis Mechanicæ elementis communia ſunt, poſteaquam com-
              <lb/>
            poſitionis hujus cum illa reſolutione æquivalentia eſt demonſtrata.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">284. </s>
            <s xml:space="preserve">Quæ de motu diximus facto vi oblique, ſed non pe-
              <lb/>
              <note position="left" xlink:label="note-0186-04" xlink:href="note-0186-04a" xml:space="preserve">Aliud exem-
                <lb/>
              plum in globo
                <lb/>
              ſuſtentato a bi-
                <lb/>
              nis planis. Dif-
                <lb/>
              ficultas com-</note>
            nitus impedita, eadem in æquilibrio habent locum, ubi om-
              <lb/>
            nis impeditur motus. </s>
            <s xml:space="preserve">Innitatur globus gravis B in fig. </s>
            <s xml:space="preserve">46
              <lb/>
            binis planis AC, CD, quæ accurate, vel in mea </s>
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