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

Table of handwritten notes

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              <pb o="178" file="0230" n="230" rhead="THEORIÆ"/>
            idearum naturam, & </s>
            <s xml:space="preserve">proprietates quaſdam, atque originem no-
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              <note position="left" xlink:label="note-0230-01" xlink:href="note-0230-01a" xml:space="preserve">omnino ab ani-
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              ma progigni,
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              ſed non impri-
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              mi, niſi æqua-
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              liter in partes
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              oppoſitas, &
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              ſine ſaltu.</note>
            vit, conſtare arbitror, motus liberos corporis ab anima pro-
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            venire: </s>
            <s xml:space="preserve">ac quemadmodum virium lex neceſſaria, in ipſa fortaſ-
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            ſe materiæ natura ſita, ejuſmodi eſt; </s>
            <s xml:space="preserve">ut juxta eam bina mate-
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            riæ puncta debeant ad ſe invicem accedere, vel a ſe invicem
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            recedere, determinata & </s>
            <s xml:space="preserve">quantitate motus, & </s>
            <s xml:space="preserve">directione per
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            diſtantias; </s>
            <s xml:space="preserve">ita eſſe alias leges virium liberas animæ, ſecundum
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            quas debeant quædam puncta materiæ habentia ejuſmodi diſpoſi-
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            tionem, quæ ad vivum, & </s>
            <s xml:space="preserve">ſanum corpus organicum requiritur,
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            ad ipſius animæ nutum moveri; </s>
            <s xml:space="preserve">ſed hujuſmodi leges itidem cen-
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            ſeo requirere illud, ut nulli materiæ puncto imprimatur motus
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            aliquis, niſi alicui alteri imprimatur alius contrarius, & </s>
            <s xml:space="preserve">æqua-
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            lis, quod conſtat ex ipſo niſu, quem ſemper exercemus in par-
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            tes contrarias, juxta ea, quæ diximus num. </s>
            <s xml:space="preserve">74; </s>
            <s xml:space="preserve">ac itidem
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            arbitror, & </s>
            <s xml:space="preserve">id ipſum diligenti obſervatione, & </s>
            <s xml:space="preserve">reflexione fa-
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            cile colligitur, ejuſmodi quoque motus imprimi non poſſe, niſi
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            ſervata lege continuitatis ſine ullo ſaltu, quod ſi ab omnibus
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            ſpiritibus obſervari debeat; </s>
            <s xml:space="preserve">diſcedent quidem veri motus a cur-
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            vis illis neceſſariis, & </s>
            <s xml:space="preserve">a libera voluntatis determinatione pen-
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            debunt curvæ deſcriptæ; </s>
            <s xml:space="preserve">ſed motuum continuitas nequaquam
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            turbabitur.</s>
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            <s xml:space="preserve">388. </s>
            <s xml:space="preserve">Porro inde conſtat, cur in motibus nullum uſpiam de-
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              <note position="left" xlink:label="note-0230-02" xlink:href="note-0230-02a" xml:space="preserve">Concluſiones
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              deductæ: po-
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              tiſſimum exclu-
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              ſio quietis.</note>
            prehendamus ſaltum, cur nullum materiæ punctum ab uno lo-
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            ci puncto abeat ad aliud punctum loci ſine tranſitu per inter-
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            media, cur nulla denſitas mutetur per ſaltum, cur & </s>
            <s xml:space="preserve">motus
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            reflexi, & </s>
            <s xml:space="preserve">refracti fiant per curvaturam continuam, ac alia ejuſ-
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            modi, quæ huc pertinent. </s>
            <s xml:space="preserve">Verum ſimul patebit & </s>
            <s xml:space="preserve">illud, in
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            cujus gratiam hæc congeſſimus, nullam fore abſolutam quietem,
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            in qua nimirum continuatus ille curvæ deſcriptæ ductus abrum-
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            patur, ea continuitate læſa nihilo minus, quam læderetur, ſi
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            curva continua deſineret alicubi in rectam.</s>
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          <p>
            <s xml:space="preserve">389. </s>
            <s xml:space="preserve">Jam vero ad actionis, & </s>
            <s xml:space="preserve">reactionis æqualitatem gradu
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              <note position="left" xlink:label="note-0230-03" xlink:href="note-0230-03a" xml:space="preserve">Æqualitas a-
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              ctionis, & rea-
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              ctionis, & ejus
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              conſectaria.</note>
            facto, eam abunde deduximus a num. </s>
            <s xml:space="preserve">265. </s>
            <s xml:space="preserve">pro binis quibuſque
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            corporibus ex actione, & </s>
            <s xml:space="preserve">reactione æqualibus in punctis quibuſ-
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            cunque. </s>
            <s xml:space="preserve">Cum nimirum mutuæ vires nihil turbent ſtatum centri
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            gravitatis communis, & </s>
            <s xml:space="preserve">centra gravitatis binarum maſſarum
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            debeant cum ipſo communi centro jacere in directum ad di-
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            ſtantias hinc, & </s>
            <s xml:space="preserve">inde reciproce proportionales ipſis maſſis, ut
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            ibidem demonſtravimus; </s>
            <s xml:space="preserve">conſequitur illud, motus quoſcunque,
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            quos ex mutua actione habebunt binarum maſſarum centra gra-
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            vitatis, debere fieri in lineis ſimilibus, & </s>
            <s xml:space="preserve">proportionalibus di-
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            ſtantiæ ſingularum ab ipſo gravitatis centro communi, adeo-
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            que reciproce proportionalibus ipſis maſſis; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quod inde conſe-
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            quitur, ſummam motuum computatorum ſecundum directio-
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            nem quancunque, quam ex mutuis actionibus acquiret altera
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            maſſa, fore ſemper æqualem ſummæ motuum computatorum
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            ſecundum oppoſitam, quam maſſa altera acquiret ſimul, in quo
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            ipſo ſita eſt actionis & </s>
            <s xml:space="preserve">reactionis æqualitas, ex qua corporu </s>
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