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

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              <pb o="126" file="0178" n="178" rhead="THEORIÆ."/>
            nam ſi figura non mutetur, adhuc concipi poterit, impenetra-
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            bilitatis vi amiſſus motus, ut amitteretur in compreſſione;
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            </s>
            <s xml:space="preserve">ſed ad ſupplendam vim, quæ exeritur ab elaſticis in recuperan-
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            da figura, non eſt, quod concipi poſſit, ubi figura recupe-
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            rari non debet. </s>
            <s xml:space="preserve">Porro unde corpora mollia ſint, vel elaſtica,
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            hic non quæro; </s>
            <s xml:space="preserve">id pertinet ad tertiam partem, quanquam id
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            ipſum innui ſuperius num. </s>
            <s xml:space="preserve">199; </s>
            <s xml:space="preserve">ſed leges, quæ in eorum colli-
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            ſionibus obſervari debent, & </s>
            <s xml:space="preserve">ex ſuperiore theoremate fluunt,
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            expono. </s>
            <s xml:space="preserve">Ut autem ſimplicior evadat res, conſiderabo globos,
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            atque hos ipſos circumquaque circa centrum, in eadem ſaltem
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            ab ipſo centro diſtantia, homogeneos, qui primo quidem con-
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            currant directe; </s>
            <s xml:space="preserve">nam deinde ad obliquas etiam colliſiones facie-
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            mus gradum.</s>
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          <p>
            <s xml:space="preserve">267. </s>
            <s xml:space="preserve">Porro ubi globus in globum agit, & </s>
            <s xml:space="preserve">ambo paribus a
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              <note position="left" xlink:label="note-0178-01" xlink:href="note-0178-01a" xml:space="preserve">Præparatio pro
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              colliſionibus
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              globorum, pla-
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              norum, circu-
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              lorum.</note>
            centro diſtantiis homogenei ſunt, facile conſtat, vim mutuam,
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            quæ eſt ſumma omnium virium, qua ſingula alterius puncta
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            agunt in ſingula puncta alterius, habituram ſemper directionem,
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            quæ jungit centra; </s>
            <s xml:space="preserve">nam in ea recta jacent centra ipſorum
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            globorum, quæ in eo homogeneitatis caſu facile conſtat, eſſe
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            centra itidem gravitatis globorum ipſorum; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">in eadem jacet
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            centrum commune gravitatis utriuſque, ad quod viribus illis
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            mutuis, quas alter globus exercet in alterum, debent ad ſe in-
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            vicem accedere, vel a ſe invicem recedere; </s>
            <s xml:space="preserve">unde fit, ut motus,
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            quos acquirunt globorum centra ex actione mutua alterius in
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            alterum, debeant eſſe in directione, quæ jungit centra. </s>
            <s xml:space="preserve">Id
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            autem generaliter extendi poteſt etiam ad caſum, in quo con-
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            cipiatur, maſſam immenſam terminatam ſuperficie plana, ſive
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            quoddam immenſum planum agere in globum finitum, vel in
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            punctum unicum, ac vice verſa: </s>
            <s xml:space="preserve">nam alterius globi radio in
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            infinitum aucto ſuperficies in planum deſinit; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">radio alterius
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            in infinitum imminuto, globus abit in punctum. </s>
            <s xml:space="preserve">Quin etiam
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            ſi maſſa quævis teres, ſive circa axem quendam rotunda, & </s>
            <s xml:space="preserve">in
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            quovis plano perpendiculari axi homogenea, vel etiam circulus
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            ſimplex, agat, vel concipiatur agens in globum, vel punctum
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            in ipſo axe conſtitutum; </s>
            <s xml:space="preserve">res eodem redit.</s>
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            <s xml:space="preserve">268. </s>
            <s xml:space="preserve">Præcurrat jam globus mollis cum velocitate minore,
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              <note position="left" xlink:label="note-0178-02" xlink:href="note-0178-02a" xml:space="preserve">Fo
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              mulæ pro
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              corpore molli
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              incurrente in
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              molle lentius
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              progrediens in
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              eandem pla-
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              gam.</note>
            quem alius itidem mollis conſequatur cum majore ita, ut cen-
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            tra ferantur in eadem recta, quæ illa conjungit, & </s>
            <s xml:space="preserve">hic de-
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            mum incurrat in illum, quæ dicitur colliſio directa. </s>
            <s xml:space="preserve">Is in-
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            curſus mihi quidem non fiet per immediatum contactum, ſed
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            antequam ad contactum deveniant, vi mutua repulſiva com-
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            primentur partes poſteriores præcedentis, & </s>
            <s xml:space="preserve">anteriores ſequen-
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            tis, quæ compreſſio fiet ſemper major, donec ad æquales ce-
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            leritates devenerint; </s>
            <s xml:space="preserve">tum enim acceſſus ulterior deſinet, adeo-
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            que & </s>
            <s xml:space="preserve">ulterior compreſſio; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quoniam corpora ſunt mollia,
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            nullam aliam exercent vim mutuam poſt ejuſmodi compreſſio-
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            nem, ſed cum æquali illa velocitate pergunt moveri porro.
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            </s>
            <s xml:space="preserve">Hæc æqualitas velocitatis, ad quam reducuntur ii duo </s>
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