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

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          <pb o="28" file="0080" n="80" rhead="THEORIÆ"/>
          <note position="left" xml:space="preserve">Alia, quæ vi-
            <lb/>
          dentur nihil.
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          & ſunt ali-
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          quid: diſcri-
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          men inter ra-
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          dicem imagi-
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          nariam, & ze-
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          ro.</note>
          <p>
            <s xml:space="preserve">61. </s>
            <s xml:space="preserve">Et quidem eodem pacto ſtatus quidam realis eſt
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            quies, ſive perſeverantia in eodem modo locali exiſtendi;
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            </s>
            <s xml:space="preserve">ſtatus quidam realis eſt velocitas nulla puncti exiſtentis,
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            nimirum determinatio perſeverandi in eodem loco; </s>
            <s xml:space="preserve">ſtatus
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            quidam realis puncti exiſtentis eſt vis nulla, nimirum deter-
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            minatio retinendi præcedentem velocitatem, & </s>
            <s xml:space="preserve">ita porro: </s>
            <s xml:space="preserve">
              <lb/>
            plurimum hæc diſcrepant a vero non eſſe. </s>
            <s xml:space="preserve">Caſus ordinatæ re-
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            ſpondentis lineæ EF in fig. </s>
            <s xml:space="preserve">9. </s>
            <s xml:space="preserve">differt plurimum a caſu
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            ordinatæ circuli reſpondentis lineæ C D figuræ 8: </s>
            <s xml:space="preserve">in prima
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            exiſtunt puncta, ſed compenetrata, in ſecunda alterum pun-
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            ctum impoſſibille eſt. </s>
            <s xml:space="preserve">Ubi in ſolutione problematum deveni-
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            tur ad quantitatem primi generis, problema determinationem
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            peculiarem accipit; </s>
            <s xml:space="preserve">ubi devenitur ad quantitatem ſecundi ge-
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            neris, problema evadit impoſſibile: </s>
            <s xml:space="preserve">uſque adeo in hoc ſe. </s>
            <s xml:space="preserve">
              <lb/>
            cundo caſu habetur verum nihilum, omni reali proprietate
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            carens; </s>
            <s xml:space="preserve">in illo primo habetur aliquid realibus proprietatibus
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            præditum, quod ipſis etiam folutionibus problematum, & </s>
            <s xml:space="preserve">con-
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            ſtructionibus veras ſufficit, & </s>
            <s xml:space="preserve">reales determinationes; </s>
            <s xml:space="preserve">cum
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            realis, non imaginaria ſit radix æquationis cujuspiam, quæ
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            ſit = 0, ſive nihilo æqualis.</s>
            <s xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Conclufio pro
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          ſolutione ejus
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          objectionis.</note>
          <p>
            <s xml:space="preserve">62. </s>
            <s xml:space="preserve">Firmum igitur manebit ſemper, & </s>
            <s xml:space="preserve">ſtabile, ſeriem rea-
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            lem quamcunque, quæ continuo tempore finito duret, de-
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            bere habere & </s>
            <s xml:space="preserve">primum principium, & </s>
            <s xml:space="preserve">ultimum finem realem,
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            ſine ullo abſurdo, & </s>
            <s xml:space="preserve">ſine conjunctione ſui eſſe cum non eſſe,
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            ſi forte duret eo ſolo tempore; </s>
            <s xml:space="preserve">dum ſi præcedenti etiam exti-
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            tit tempore, habere debet & </s>
            <s xml:space="preserve">ultimum terminum ſeriei præce-
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            dentis, & </s>
            <s xml:space="preserve">primum ſequentis, qui debent eſſe unicus indiviſi-
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            bilis communis limes, ut momentum eſt unicus indiviſibilis
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            limes inter tempus continuum præcedens, & </s>
            <s xml:space="preserve">ſubſequens. </s>
            <s xml:space="preserve">Sed
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            hæc de ortu, & </s>
            <s xml:space="preserve">interitu jam ſatis.</s>
            <s xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Applicatio le-
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          gis continuita-
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          tis ad colliſio-
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          nem corporum.</note>
          <p>
            <s xml:space="preserve">63. </s>
            <s xml:space="preserve">Utigitur contrahamus jam vela, continuitatis lex & </s>
            <s xml:space="preserve">indu-
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            ctione, & </s>
            <s xml:space="preserve">metaphyſico argumento abunde nititur, quæ idcirco
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            etiam in velocitatis communicatione retineri omnino debet, ut
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            nimirum ab una velocitate ad aliam nunquam tranſeatur, niſi
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            per intermedias velocitates omnes ſine ſaltu. </s>
            <s xml:space="preserve">Et quidem in ip ſis
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            motibus, & </s>
            <s xml:space="preserve">velocitatibus inductionem habuimus num. </s>
            <s xml:space="preserve">39, ac
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            difficultates ſolvimus num. </s>
            <s xml:space="preserve">46, & </s>
            <s xml:space="preserve">47 pertinentes ad velocitates,
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            quæ videri poſſent mutatæ per ſaltum. </s>
            <s xml:space="preserve">Quod autem pertinet ad
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            metaphyſicum argumentum, ſi toto tempore ante contactum ſubſe-
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            quentis corporis ſuperficies antecedens habuit 12 gradus velocitatis,
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            & </s>
            <s xml:space="preserve">ſequenti 9, ſaltu facto momentaneo ipſo initio contactus; </s>
            <s xml:space="preserve">in
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            ipſo momento ea tempora dirimente debuiſſet habere & </s>
            <s xml:space="preserve">12, & </s>
            <s xml:space="preserve">9 ſi-
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            mul, quod eſt abſurdum. </s>
            <s xml:space="preserve">Duas enim velocitates ſimul habere
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            corpus non poteſt, quod ipſum aliquanto diligentius demonſtrabo.</s>
            <s xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Duo velocita-
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          tum genera,
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          potentialis, &
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          actualis.</note>
          <p>
            <s xml:space="preserve">64. </s>
            <s xml:space="preserve">Velocitatis nomen, uti paſſim uſurpatur a Mechanicis,
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            æquivocum eſt; </s>
            <s xml:space="preserve">poteſt enim ſignificare velocitatem actualem,
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            quæ nimirum eſt relatio quædam in motu æquabili ſpatii per-
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            curſi diviſi per tempus, quo percurritur; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">poteſt </s>
          </p>
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