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

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              <pb o="97" file="0149" n="149" rhead="PARS SECUNDA."/>
            pertinent ad diverſas directiones rectarum D C, data diſtantia
              <lb/>
            punctorum A, B, quam quæ pertinent ad diverſas diſtantias
              <lb/>
            ipſorum punctorum A, B, data etiam directione D C, ac haſce
              <lb/>
            vires in latus haberi debere in exiguis illis diſtantiis, in qui-
              <lb/>
            bus curva ſiguræ circa axem contorquetur, ubi nimirum mu-
              <lb/>
            tata parum admodum diſtantia, vires ſingulorum punctorum mu-
              <lb/>
            tantur plurimum, & </s>
            <s xml:space="preserve">e repulſivis etiam abeunt in attractivas, ac
              <lb/>
            vice verſa, & </s>
            <s xml:space="preserve">ubi reſpectu alterius puncti haberi poſſit attra-
              <lb/>
            ctio, reſpectu alterius repulſio, quod utique requiritur, ut vis
              <lb/>
            dirigatur extra angulum ACB, & </s>
            <s xml:space="preserve">extra ipſi ad verticem op-
              <lb/>
            poſitum. </s>
            <s xml:space="preserve">At in majoribus diſtantiis, in quibus jam habetur
              <lb/>
            illud poſtremum crus ſiguræ 1 exprimens arcum attractivum ad
              <lb/>
            ſenſum in ratione reciproca duplicata diſtantiarum, vis in pun-
              <lb/>
            ctum C a punctis A, B inter ſe proximis, utcunque ejuſmodi
              <lb/>
            diſtantia mutetur, & </s>
            <s xml:space="preserve">quæcunque ſuerit inclinatio CD ad AB,
              <lb/>
            erit ſemper ad ſenſum eadem, directa ad ſenſum ad punctum
              <lb/>
            D, ad ſenſum proportionalis reciproce quadrato diſtantiæ DC
              <lb/>
            ab ipſo puncto D, & </s>
            <s xml:space="preserve">ad ſenſum dupla ejus, quam in curva ſi-
              <lb/>
            guræ 1 requireret diſtantia DC.</s>
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          <p>
            <s xml:space="preserve">211. </s>
            <s xml:space="preserve">Id quidem facile demonſtratur. </s>
            <s xml:space="preserve">Si enim AB reſpectu
              <lb/>
              <note position="right" xlink:label="note-0149-01" xlink:href="note-0149-01a" xml:space="preserve">Demonſtratio
                <lb/>
              poſtremi theo-
                <lb/>
              rematis.</note>
            DC ſit perguam exigua, angulus ACB erit perquam exiguus,
              <lb/>
            & </s>
            <s xml:space="preserve">a recta CD ad ſenſum bifariam ſectus: </s>
            <s xml:space="preserve">diſtantiæ AC, CB
              <lb/>
            erunt ad ſe invicem ad ſenſum in ratione æqualitatis, adeoque & </s>
            <s xml:space="preserve">
              <lb/>
            vires CL, CK ambæ attractivæ debebunt ad ſenſum æquales eſſe
              <lb/>
            inter ſe, & </s>
            <s xml:space="preserve">proinde L C K F ad ſenſum rhombus, diametro CF
              <lb/>
            ad ſenſum ſecante angulum L C K biſariam, quæ rhombi pro-
              <lb/>
            prietas eſt, & </s>
            <s xml:space="preserve">ipſa C F congruente cum C O, ac (ob angulum
              <lb/>
            F C K inſenſibilem, & </s>
            <s xml:space="preserve">C K F ad ſenſum æqualem duobus rectis)
              <lb/>
            æquali ad ſenſum binis C K, K F, ſive C K, C L, ſimul ſumptis;
              <lb/>
            </s>
            <s xml:space="preserve">quæ ſingulæ cum ſint quam proxime in ratione reciproca du-
              <lb/>
            plicata diſtantiarum CB, CA, erunt & </s>
            <s xml:space="preserve">eædem, & </s>
            <s xml:space="preserve">earum ſum-
              <lb/>
            ma ad ſenſum in ratione reciproca duplicata diſtantiæ CD.</s>
            <s xml:space="preserve"/>
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          <p>
            <s xml:space="preserve">212. </s>
            <s xml:space="preserve">Porro id quidem commune eſt etiam maſſulis con-
              <lb/>
              <note position="right" xlink:label="note-0149-02" xlink:href="note-0149-02a" xml:space="preserve">Diſcrimen in-
                <lb/>
              gens virium,
                <lb/>
              quas maſsula
                <lb/>
              exercet in maſ-
                <lb/>
              ſulam proxi-
                <lb/>
              mam, confor-
                <lb/>
              mitas ſumma in
                <lb/>
              remotarum vi-
                <lb/>
              ribus, quæ ſunt
                <lb/>
              directe ut maſ-
                <lb/>
              ſæ, & recipro-
                <lb/>
              ce, ut qua-
                <lb/>
              drata diſtantia-
                <lb/>
              rum.</note>
            ſtantibus quocunque punctorum numero. </s>
            <s xml:space="preserve">Mutata illarum com-
              <lb/>
            binatione, vis compoſita a viribus ſingulorum agens in pun-
              <lb/>
            ctum diſtans a maſſula ipſa per intervallum perquam exiguum,
              <lb/>
            nimirum ejuſmodi, in quo curva ſiguræ 1 circa axem contor-
              <lb/>
            quetur, debet mutare plurimum tam intenſitatem ſuam, quam
              <lb/>
            directionem, & </s>
            <s xml:space="preserve">ſieri utique poteſt, quod infra etiam in ali-
              <lb/>
            quo ſimpliciore caſu trium punctorum videbimus, ut in alia
              <lb/>
            combinatione punctorum maſſulæ pro eadem diſtantia a me-
              <lb/>
            dio repulſiones prævaleant, in alia attractiones, in alia oria-
              <lb/>
            tur vis in latus ad perpendiculum, ac in eadem conſtitutione
              <lb/>
            maſſulæ pro diverſis directionibus admodum diverſæ ſint vi-
              <lb/>
            res pro eadem etiam diſtantia a medio. </s>
            <s xml:space="preserve">At in magnis illis di-
              <lb/>
            ſtantiis, in quibus ſingulorum punctorum vires jam attractivæ
              <lb/>
            ſunt omnes, & </s>
            <s xml:space="preserve">directiones, ob molem maſſulæ tam exiguam
              <lb/>
            reſpectu ingentis diſtantiæ, ad ſenſum conſpirant, vis </s>
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