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

Table of handwritten notes

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            tius ſyſtematis, & </s>
            <s xml:space="preserve">progredietur ſine rotatione ante percuſſio-
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            nem.</s>
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            <s xml:space="preserve">Abeunte axe rotationis in centrum gravitatis, nimirum quie-
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              <note position="right" xlink:label="note-0357-01" xlink:href="note-0357-01a" xml:space="preserve">Si axis rotatio-
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              nis tranſeat per
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              centrum gravi-
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              tatis, motum ſi.
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              ſti non poſſe.</note>
            ſcente ipſo gravitatis centro, centrum percuſſionis abit in infini-
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            tum, nec ulla percuſſione applicata unico puncto motus ſiſti po-
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            teſt. </s>
            <s xml:space="preserve">Nam e contrario altera diſtantia evaneſcente, altera abit
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            in infinitum.</s>
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            <s xml:space="preserve">120. </s>
            <s xml:space="preserve">Corollarium V. </s>
            <s xml:space="preserve">Centrum percuſſionis debet jacere in recta
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              <note position="right" xlink:label="note-0357-02" xlink:href="note-0357-02a" xml:space="preserve">Centri percuſ-
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              ſionis poſitio
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              notabilis.</note>
            perpendiculari ad axem rotationis tranſeunte per centrum gravita-
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            tis. </s>
            <s xml:space="preserve">Id evincitur per quartum e ſuperioribus Theorematis.
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            </s>
            <s xml:space="preserve">Solutio problematis adhibita exhibet ſolam diſtantiam centri
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            percuſſionis ab axe illo rotationis. </s>
            <s xml:space="preserve">Nam demonſtratio manet
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            eadem, ad quodcunque planum perpendiculare axi reducantur
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            per rectas ipſi axi parallelas & </s>
            <s xml:space="preserve">maſſæ omnes, & </s>
            <s xml:space="preserve">ipſum cen-
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            trum gravitatis commune, adeoque inde non haberetur uni-
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            cum centrum percuſſionis, ſed ſeries eorum continua parallela
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            axi ipſi, quæ abeunte axe rotationis ejus directionis in infini-
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            tum, nimirum ceſſante converſione reſpectu ejus directionis,
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            tranſit per centrum gravitatis juxta id Theorema. </s>
            <s xml:space="preserve">Porro ſi
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            concipiatur planum quodvis perpendiculare axi rotationis, o-
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            mnes maſſæ reſpectu rectarum perpendicularium axi priori in
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            eo jacentium rotationem nullam habent, cum diſtantiam ab
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            eo plano non mutent, ſed ferantur ſecundum ejus directio-
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            nem, adeoque reſpectu omnium directionum priori axi per-
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            pendicularium jacentium in eo plano res eodem modo ſe
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            habet, ac ſi axis rotationis cujuſdam ipſas reſpicientis in infini-
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            tum diſtet ab eatum ſingulis, & </s>
            <s xml:space="preserve">proinde reſpectu ipſarum
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            debet centrum percuſſionis abire ad diſtantiam, in qua eſt
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            centrum gravitatis, nimirum jacere in eo planorum paralle-
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            lorum omnes ejuſmodi directiones continentium, quod tranſ-
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            it per ipſum centrum gravitatis: </s>
            <s xml:space="preserve">adeoque ad ſiſtendum pe-
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            nitus omnem motum, & </s>
            <s xml:space="preserve">ne pars altera procurrat ultra al-
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            teram, & </s>
            <s xml:space="preserve">eam vincat, debet centrum percuſſionis jacere in
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            plano perpendiculari ad axem tranſeunte per centrum gravi-
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            tatis, & </s>
            <s xml:space="preserve">debent in ſolutione problematis omnes maſſæ redu-
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            ci ad id ipſum planum, ut præſtitimus, non ad aliud quod-
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            piam ipſi parallelum: </s>
            <s xml:space="preserve">ac eo pacto habebitur æquilibrium maſ-
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            ſarum, hinc & </s>
            <s xml:space="preserve">inde poſitarum, quarum ductarum in ſuas di-
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            ſtantias ab eodem plano ſummæ hinc, & </s>
            <s xml:space="preserve">inde acceptæ æqua-
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            buntur inter ſe. </s>
            <s xml:space="preserve">Porro eo plano ad ſolutionem adhibito, pa-
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            tet ex ipſa ſolutione, centrum percuſſionis jacere in recta per-
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            pendiculari axi ducta per centrum gravitatis: </s>
            <s xml:space="preserve">jacet enim in re-
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            cta, quæ a centro gravitatis ducitur ad illud punctum, in quo
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            axis id planum ſecat, quæ recta ipſi axi perpendicularis toti
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            illi plano perpendicularis eſſe debet.</s>
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            <s xml:space="preserve">121. </s>
            <s xml:space="preserve">Corollarium VI. </s>
            <s xml:space="preserve">Impactus in centro percuſſionis in cor-
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              <note position="right" xlink:label="note-0357-03" xlink:href="note-0357-03a" xml:space="preserve">Impactus in
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              centrum per-
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              cuſſionis qui ſit.</note>
            pus externa vi ejus motum ſiſtens eſt idem, qui eſſet, ſi ſin-
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            gulœ maſſœ incurrerent in ipſum cum ſuis velocitatibus </s>
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