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

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              <pb o="105" file="0157" n="157" rhead="PARS SECUNDA."/>
            ac ſi actione externa velocitas imprimatur punctis ejuſmodi,
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            quæ flexionem, vel contractionem, aut diſtractionem inducat,
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            tum ipſa puncta permittantur ſibi libera; </s>
            <s xml:space="preserve">habebitur oſcillatio
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            quædam, angulo jam in alteram plagam obverſo, jam in al-
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            teram oppoſitam, ac longitudine ejus veluti virgæ conſtantis
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            iis tribus punctis jam aucta, jam imminuta, fieri poterit; </s>
            <s xml:space="preserve">ut
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            oſcillatio ipſa ſenſum omnem effugiat, quod quidem exhibebit
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            nobis ideam virgæ, quam vocamus rigidam, & </s>
            <s xml:space="preserve">ſolidam, con-
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            tractionis nimirum, & </s>
            <s xml:space="preserve">dilatationis incapacem, qua
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            proprieta-
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            tes nulla virga in Natura habet accurate tales, ſed tantummo-
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            do ad ſenſum. </s>
            <s xml:space="preserve">Quod ſi vires ſint aliquanto debiliores, tum
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            vero & </s>
            <s xml:space="preserve">inflexio ex vi externa mediocri, & </s>
            <s xml:space="preserve">oſcillatio, ac tre-
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            mor erunt majores, & </s>
            <s xml:space="preserve">jam hinc ex ſimpliciſſimo trium pun-
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            ctorum ſyſtemate habebitur ſpecies quædam ſatis idonea ad ſi-
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            ſtendum animo diſcrimen, quod in Natura obverſatur quoti-
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            die oculis, inter virgas rigidas, ac eas, quæ ſunt flexiles, & </s>
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            ex elaſticitate trementes.</s>
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          <p>
            <s xml:space="preserve">227. </s>
            <s xml:space="preserve">Ibidem ſi binæ vires, ut AQ, BT fuerint perpendicu-
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              <note position="right" xlink:label="note-0157-01" xlink:href="note-0157-01a" xml:space="preserve">Syſtemate in-
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              flexo per vires
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              parallelas vis
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              puncti medii
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              contraria ex-
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              tremis, & ęqua-
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              lis eo
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              um ſun
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              -
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              mæ.</note>
            lares ad AB, vel etiam utcunque parallelæ inter ſe, tertia
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            quoque erit parallela illis, & </s>
            <s xml:space="preserve">æqualis earum ſummæ, ſed di-
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            rectionis contrariæ. </s>
            <s xml:space="preserve">Ducta enim CD parallela iis, tum ad
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            illam KI parallela BA, erit ob CK, VB æquales, triangulum
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            CIK æquale ſimili BT V, ſive TB S, adeoque CI æqualis
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            BT, IK æqualis B S, ſive A R, vel QP. </s>
            <s xml:space="preserve">Quare ſi ſumpta
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            IF æquali AQ ducatur K F; </s>
            <s xml:space="preserve">erit triangulum FIK æquale
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            AQ P, ac proinde FK æqualis, & </s>
            <s xml:space="preserve">parallela A P, ſive LC,
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            & </s>
            <s xml:space="preserve">CL FK parallelogrammum, ac CF, diameter ipſius, ex-
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            primet vim puncti C utique parallelam viribus AQ, BT,
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            & </s>
            <s xml:space="preserve">æqualem earum ſummæ, ſed directionis contrariæ. </s>
            <s xml:space="preserve">Quo-
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            niam vero eſt SB ad BT, ut BD ad DC; </s>
            <s xml:space="preserve">ac AQ ad AR,
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            ut DC ad DA; </s>
            <s xml:space="preserve">erit ex æqualitate perturbata AQ ad BT, ut
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            BD ad DA, nimirum vires in A, & </s>
            <s xml:space="preserve">B in ratione reciproca
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            diſtantiarum AD, DB a recta CD ducta per C ſecundum di-
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            rectionem virium.</s>
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          <p>
            <s xml:space="preserve">228. </s>
            <s xml:space="preserve">Ea, quæ hoc poſtremo numero demonſtravimus, æque
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              <note position="right" xlink:label="note-0157-02" xlink:href="note-0157-02a" xml:space="preserve">Poſtremum
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              theorema gene-
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              rale, ubietiam
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              tria puncta non
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              jaceant in di
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              rectum.</note>
            pertinent ad actione; </s>
            <s xml:space="preserve">mutuas trium punctorum habentium po-
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            ſitionem mutuam quamcunque, etiam ſi a rectilinea recedat
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            quantumlibet; </s>
            <s xml:space="preserve">nam demonſtratio generalis eſt: </s>
            <s xml:space="preserve">ſed ad maſſas
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            utcunque inæquales, & </s>
            <s xml:space="preserve">in ſe agentes viribus etiam divergenti-
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            bus, multo generalius traduci poſſunt, ac traducentur inferius,
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            & </s>
            <s xml:space="preserve">ad æquilibrii leges, & </s>
            <s xml:space="preserve">vectem, & </s>
            <s xml:space="preserve">centra oſcillationis ac
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            percuſſionis nos deducent. </s>
            <s xml:space="preserve">Sed interea pergemus alia nonnul-
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            la perſequi pertinentia itidem ad puncta tria, quæ in directum
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            non jaceant.</s>
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          <note position="right" xml:space="preserve">Æquilibrium
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          trium puncto-
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          rum non in di-
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          rectum jacen-
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          tium impoſſi-
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          bile ſine vi
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          externa, niſi</note>
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            <s xml:space="preserve">229. </s>
            <s xml:space="preserve">Si tria puncta non jaceant in directum, tum vero ſi-
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            ne externis viribus non poterunt eſſe in æquilibrio; </s>
            <s xml:space="preserve">niſi omnes
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            tres diſtantiæ, quæ latera trianguli conſtituunt, ſint diſtantiæ
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            limitum figuræ 1. </s>
            <s xml:space="preserve">Cum enim vires illæ mutuæ non </s>
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