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

Table of Notes

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            ro uſque ad eam determinatam vim, & </s>
            <s xml:space="preserve">omnino nullus erit ex
              <lb/>
            hiſce omnibus intermediis ſtatibus, quem aliquando non ſint
              <lb/>
            habitura puncta, quæ a repulſione abeunt ad attractionem. </s>
            <s xml:space="preserve">Id
              <lb/>
            ipſum ſacile erit contemplari in fig. </s>
            <s xml:space="preserve">1, in qua a vi repulſiva
              <lb/>
              <note position="left" xlink:label="note-0100-01" xlink:href="note-0100-01a" xml:space="preserve">Fig. 1.</note>
            b r ad attractionem d b itur utique continuo motu puncti b ad d
              <lb/>
            tranſeundo per omnes intermedias, & </s>
            <s xml:space="preserve">per ipſum zero in E,
              <lb/>
            ſine ullo ſaltu; </s>
            <s xml:space="preserve">cum ordinata in eo motu habitura ſit omnes
              <lb/>
            magnitudines minores priore b r uſque ad zero in E; </s>
            <s xml:space="preserve">tum o-
              <lb/>
            mnes oppoſitas majores uſque ad poſteriorem d b. </s>
            <s xml:space="preserve">Qui in ea
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            veluti imagine mentis oculos deſigat, is omnem apparentem
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            difficultatem videbit plane ſibi penitus evaneſcere.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">105. </s>
            <s xml:space="preserve">Quod autem additur de poſtremo repulſionis gradu, & </s>
            <s xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0100-02" xlink:href="note-0100-02a" xml:space="preserve">Nullum eſſe
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              poſtremum at-
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              tractionis, &
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              primum repul-
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              ſionis gradum,
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              qui ſi eſſent, ad-
                <lb/>
              huc tranſiri per
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              omnes interme.
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              dios.</note>
            primo attractionis, nihil ſane probaret, quando etiam eſſent
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            aliqui ii gradus poſtremi, & </s>
            <s xml:space="preserve">primi; </s>
            <s xml:space="preserve">nam ab altero eorum
              <lb/>
            tranſiretur ad alterum per intermedium illud zero, & </s>
            <s xml:space="preserve">ex eo
              <lb/>
            ipſo, quod illi eſſent poſtremus, ac primus, nihil omitteretur
              <lb/>
            intermedium, quæ tamen ſola intermedii omiſſio continuita-
              <lb/>
            tis legem evertit, & </s>
            <s xml:space="preserve">ſaltum inducit. </s>
            <s xml:space="preserve">Sed nec habetur ul-
              <lb/>
            lus gradus poſtremus, aut primus, ſicut nulla ibi eſt ordi-
              <lb/>
            nata poſtrema, aut prima, nulla lineola omnium minima. </s>
            <s xml:space="preserve">Da-
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            ta quacunque lineola utcunque exigua, aliæ illa breviores haben-
              <lb/>
            tur minores, ac minores in infinitum ſine ulla ultima, in quo
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            ipſo ſtat, uti ſupra etiam monuimus, continuitatis natura.
              <lb/>
            </s>
            <s xml:space="preserve">Quamobrem qui primum, aut ultimum ſibi conſingit in lineo-
              <lb/>
            la, in vi, in celeritatis gradu, in tempuſculo, is naturam con-
              <lb/>
            tinuitatis ignorat, quam ſupra hic innui, & </s>
            <s xml:space="preserve">quam ego idcirco
              <lb/>
            initio meæ diſſertationis De Lege continuitatis abunde expoſui.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">106. </s>
            <s xml:space="preserve">Videri poteſt cuipiam ſaltem illud, ejuſmodi legem vi-
              <lb/>
              <note position="left" xlink:label="note-0100-03" xlink:href="note-0100-03a" xml:space="preserve">Objectio ab
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              apparenti com-
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              poſitione cur-
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              væ, & duobus
                <lb/>
              virium generi-
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              bus.</note>
            rium, & </s>
            <s xml:space="preserve">curvam, quam in fig. </s>
            <s xml:space="preserve">1 protuli, eſſe nimium com-
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            plicatam, compoſitam, & </s>
            <s xml:space="preserve">irregularem, quæ nimirum coaleſcat
              <lb/>
            ex ingenti numero arcuum jam attractivorum, jam repulſivo-
              <lb/>
            rum, qui inter ſe nullo pacto cohæreant; </s>
            <s xml:space="preserve">rem eo redire, ubi
              <lb/>
            erat olim, cum apud Peripateticos pro ſingulis proprietatibus
              <lb/>
            corporum ſingulæ qualitates diſtinctæ, & </s>
            <s xml:space="preserve">pro diverſis ſpeciebus
              <lb/>
            diverſæ formæ ſubſtantiales confingebantur ad arbitrium. </s>
            <s xml:space="preserve">Sunt
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            autem, qui & </s>
            <s xml:space="preserve">illud addant, repulſionem, & </s>
            <s xml:space="preserve">attractionem eſſe
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            virium genera inter ſe diverſa; </s>
            <s xml:space="preserve">ſatius eſſe, alteram tantummo-
              <lb/>
            do adhibere, & </s>
            <s xml:space="preserve">repulſionem explicare tantummodo per attra-
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            ctionem minorem.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">107. </s>
            <s xml:space="preserve">Inprimis quod ad hoc poſtremum pertinet, ſatis patet,
              <lb/>
              <note position="left" xlink:label="note-0100-04" xlink:href="note-0100-04a" xml:space="preserve">Reſponſio: vim
                <lb/>
              r pulſivam poſi-
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              tive demonſtra-
                <lb/>
              ri præter attra-
                <lb/>
              ctionem.</note>
            per poſitivam meæ Theoriæ probationem immediate evinci re-
              <lb/>
            pulſionem ita, ut a minore attractione repeti omnino non poſ-
              <lb/>
            ſit; </s>
            <s xml:space="preserve">nam duæ materiæ particulæ ſi etiam ſolæ in Mundo eſ-
              <lb/>
            ſent; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ad ſe invicem cum aliqua velocitatum inæqualitate
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            accederent, deberent utique ante contactum ad æqualitatem de-
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            venire vi, quæ a nulla attractione pendere poſſet.</s>
            <s xml:space="preserve"/>
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          <p>
            <s xml:space="preserve">108. </s>
            <s xml:space="preserve">Deinde vero quod pertinet ad duas diverſas ſpecies at-
              <lb/>
              <note position="left" xlink:label="note-0100-05" xlink:href="note-0100-05a" xml:space="preserve">Hinc nihil ob-
                <lb/>
              ſtare, ſi di-</note>
            tractionis, & </s>
            <s xml:space="preserve">repulſionis; </s>
            <s xml:space="preserve">id quidem licet ita ſe haberet, </s>
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