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

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              <pb o="149" file="0201" n="201" rhead="PARS SECUNDA."/>
            oppoſitas: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſi parallelæ fuerint; </s>
            <s xml:space="preserve">ſint inter ſe, ut diſtantiæ a di-
              <lb/>
            rectione virium tranſeunte per C; </s>
            <s xml:space="preserve">ſi fuerint convergentes, ſint
              <lb/>
            reciproce, ut ſinus angulorum, quos earum directiones continent
              <lb/>
            cum recta ex C tendente ad earum concurſum, vel ſint in ratio-
              <lb/>
            ne reciproca ſinuum angulorum, quos continent cum rectis AC,
              <lb/>
            BC, & </s>
            <s xml:space="preserve">ipſarum rectarum conjunctim.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">322. </s>
            <s xml:space="preserve">Determinabitur autem admodum facile per ipſa theorema
              <gap/>
              <lb/>
              <note position="right" xlink:label="note-0201-01" xlink:href="note-0201-01a" xml:space="preserve">Determinatio
                <lb/>
              vis, quam ful.
                <lb/>
              crum ſuſtinet.</note>
            ta etiam vis, quam ſuſtinebit fulcrum C, quæ in caſu paralleliſ-
              <lb/>
            mi æquabitur ſummæ, vel differentiæ reliquarum, prout ibi fue-
              <lb/>
            rit media, vel extrema: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">in caſibus reliquis omnibus æquabitur
              <lb/>
            ſummæ pariter, vel differentiæ reliquarum ad ſuam directionem
              <lb/>
            reductarum, reliquis binis in reſolutione priorum ſociis ſe per
              <lb/>
            contrariam directionem, & </s>
            <s xml:space="preserve">æqualitatem elidentibus.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">323. </s>
            <s xml:space="preserve">Habebitur igitur, quidquid pertinet ad æquilibrium vi-
              <lb/>
              <note position="right" xlink:label="note-0201-02" xlink:href="note-0201-02a" xml:space="preserve">Conſideratio
                <lb/>
              maſiarum eti-
                <lb/>
              am intermedia
                <gap/>
                <lb/>
              rum, quæ con-
                <lb/>
              nectant maſſas
                <lb/>
              viribus exter-
                <lb/>
              nis præditas, &
                <lb/>
              poſitas in æ-
                <lb/>
              quilibrio.</note>
            rium agentium in eodem plano, & </s>
            <s xml:space="preserve">connexarum non per vir-
              <lb/>
            gas inflexiles carentes omni vi præter cohæſionem, uti eas
              <lb/>
            vulgo concipiunt, ſed hiſce viribus mutuis. </s>
            <s xml:space="preserve">Et Theoria
              <lb/>
            quidem habebit locum tum hic, tum in ſequentibus; </s>
            <s xml:space="preserve">licet
              <lb/>
            maſſæ A, B, C non agant in ſe invicem immediate, ſed ſint
              <lb/>
            aliæ maſſæ intermediæ, quæ ipſas jungant. </s>
            <s xml:space="preserve">Nam ſi inter
              <lb/>
            maſſam B, & </s>
            <s xml:space="preserve">C ſint aliæ maſſæ nullis externis viribus agi-
              <lb/>
            tatæ, & </s>
            <s xml:space="preserve">poſitæ in æquilibrio cum hiſce maſſis, & </s>
            <s xml:space="preserve">inter ſe, ac
              <lb/>
            prima, quæ venit poſt B, agat in ipſam vi motrice æquali B P,
              <lb/>
            aget & </s>
            <s xml:space="preserve">B in ipſam vi æquali: </s>
            <s xml:space="preserve">quare debebit illa ad ſervandum
              <lb/>
            æquilibrium urgeri a ſecunda, quæ eſt poſt ipſam, vi æquali in
              <lb/>
            partes contrarias. </s>
            <s xml:space="preserve">Hinc æquali contraria aget tertia in ſecun-
              <lb/>
            dam, ut ſecunda in æquilibrio ſit, & </s>
            <s xml:space="preserve">ita porro, donec devenia-
              <lb/>
            tur ad C, ubi habebitur vis motrix æqualis motrici, quæ erat
              <lb/>
            in B, & </s>
            <s xml:space="preserve">erunt vires BP, CV acceleratrices in ratione recipro-
              <lb/>
            ca maſſarum B, & </s>
            <s xml:space="preserve">C, cum vires illæ motrices æquales ſint pro-
              <lb/>
            du a ex acceleratricibus ductis in maſſas. </s>
            <s xml:space="preserve">At ſi circumquaque
              <lb/>
            ſint maſſæ quotcunque cum vacuis quibuſcunque, ac ubicunque
              <lb/>
            interjectis, quæ connectantur cum punctis A, B, C, affectis il-
              <lb/>
            lis tribus viribus externis, quarum una concipitur provenire a
              <lb/>
            fulcro, una ſolet appellari potentia, & </s>
            <s xml:space="preserve">una reſiſtentia, ac vires
              <lb/>
            illæ externæ QB, HA concipiantur reſolutæ ſingulæ in binas a.
              <lb/>
            </s>
            <s xml:space="preserve">gentes ſecundum eas rectas, quæ illa tria puncta conjungunt; </s>
            <s xml:space="preserve">
              <lb/>
            poterit eliſis mutuo reliquis omnibus æquilibrium conſtituenti-
              <lb/>
            bus deveniri ad vires in punctis binis, ut A, & </s>
            <s xml:space="preserve">C, acceleratrices
              <lb/>
            contrarias viribus BP, BR, & </s>
            <s xml:space="preserve">reciproce proportionales maſſis
              <lb/>
            ipſarum reſpectu maſſæ B; </s>
            <s xml:space="preserve">licet ipſæ proveniant a maſſis quibuſ. </s>
            <s xml:space="preserve">
              <lb/>
            vis etiam non in eadem directione ſitis, & </s>
            <s xml:space="preserve">agentibus in latus: </s>
            <s xml:space="preserve">
              <lb/>
            nam per ejuſmodi reſolutionem, & </s>
            <s xml:space="preserve">ejuſmodi virium conſidera-
              <lb/>
            tionem, adhuc habetur æquilibrium totius ſyſtematis affecti in
              <lb/>
            illis tribus punctis per illas tres vires, cum aſſumantur in iis tan. </s>
            <s xml:space="preserve">
              <lb/>
            tummodo vires motrices contrariæ, & </s>
            <s xml:space="preserve">æquales: </s>
            <s xml:space="preserve">unde fit, ut et-
              <lb/>
            iam illæ, quæ præterea ad has in illis conſiderandas aſſumuntur,
              <lb/>
            & </s>
            <s xml:space="preserve">per quas connectuntur cum reliquis maſſis, ſe mutuo elidant.</s>
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