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

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          <head xml:space="preserve">§ IV.
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          Contra vires in minimis diſtantiis attractivas, &
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          excreſcentes in infinitum. </head>
          <p>
            <s xml:space="preserve">77 AT præterea contra folam attractionem plures
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            aben-
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              <note position="right" xlink:label="note-0341-01" xlink:href="note-0341-01a" xml:space="preserve">Prima difficul
                <unsure/>
              -
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              tas ex eo, quod
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              ubi conatus de-
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              beret eſſe ma-
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              ximus in appul-
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              ſu, debeat eſſe
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              nullus, vel irri-
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              tus.</note>
            tur difficultates, quæ per gradus creſcunt. </s>
            <s xml:space="preserve">Nam in-
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            primis ſi eæ imminutis utcunque diſtantiis agant, augent ve-
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            locitatem uſque ad contactum, ad quem ubi deventum eſt,
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            incrementum velocitatis ibi per ſaltum abrumpitur, & </s>
            <s xml:space="preserve">ubi
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            maxima eſt, ibi perpetuo incaſſum nituntur partes ad ulterio-
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            rem effectum habendum, & </s>
            <s xml:space="preserve">neceſſario irritos conatus edunt.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">78. </s>
            <s xml:space="preserve">Quod ſi in infinitum imminuta diſtantia, creſcant in ali-
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              <note position="right" xlink:label="note-0341-02" xlink:href="note-0341-02a" xml:space="preserve">Secunda, ſi ra-
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              tio ſit recipro-
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              ca diſtantiæ a
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              vi abſolute infi-
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              nita, ad quam
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              deveniri debe-
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              ret.</note>
            qua ratione diſtantiarum reciproca; </s>
            <s xml:space="preserve">multæ itidem difficulta-
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            tes habentur, quæ noſtram oppoſitam ſententiam confirmant.
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            </s>
            <s xml:space="preserve">Inprimis in ea hypotheſi virium deveniri poteſt ad conta-
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            ctum, in quo vis, ſublata omni diſtantia, debet augeri in
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            infinitum magis, quam eſſet in aliqua diſtantia. </s>
            <s xml:space="preserve">Porro nos
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            putamus accurate demonſtrari, nullas quantitates exiſtere poſ-
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            ſe, quæ in ſe infinitæ ſint, aut infinite parvæ. </s>
            <s xml:space="preserve">Hinc autem
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            ſtatim habemus abſurdum, quod nimirum ſi vires in aliqua
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            diſtantia aliquid ſunt, in contactu debeant eſſe abſolute infi-
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            nitæ</s>
          </p>
          <p>
            <s xml:space="preserve">79. </s>
            <s xml:space="preserve">Augetur difficultas, ſi debeat ratio reciproca eſſe ma-
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              <note position="right" xlink:label="note-0341-03" xlink:href="note-0341-03a" xml:space="preserve">Tertia ex eo,
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              quod, ſi ſit major
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              quam ſimplex,
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              debeat in con-
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              tactu deveniri
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              etiam ad velo-
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              citatem inſini-
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              tam.</note>
            jor, quam ſimplex (ut ad gravitatem requiritur reciproca
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            duplicata, ad cohæſionem adhuc major) & </s>
            <s xml:space="preserve">ad bina puncta
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            pertineat. </s>
            <s xml:space="preserve">Nam illa puncta in ipſo congreſſu devenient ad
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            velocitatem abſolute inſinitam. </s>
            <s xml:space="preserve">Velocitas autem abſolute infi-
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            nita eſt impoſſibilis, cum ea requirat ſpatium finitum percur-
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            ſum momento temporis, adeoque replicationem, ſive extenſio-
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            nem ſimultaneam per ſpatium finitum diviſibile, & </s>
            <s xml:space="preserve">quovis
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            finito tempore requirat ſpatium infinitum, quod cum inter bi-
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            na puncta interjacere non poſſit, requireret ex natura ſua, ut
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            punctum ejuſmodi velocitatem adeptum nuſquam eſſet.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">80. </s>
            <s xml:space="preserve">Accedunt plurima abſurda, ad quæ ejuſmodi leges nos
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              <note position="right" xlink:label="note-0341-04" xlink:href="note-0341-04a" xml:space="preserve">Alia abſurda:
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              ſi ratio ſit du-
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              plicata, regreſ-
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              ſus a centro:
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              ſaltus ab acce-
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              leratione cre-
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              ſcente ad nul-
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              lam in ingreſ-
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              ſu in ſuperſi-
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              ciem ſphæri-
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              cam.</note>
            deducunt. </s>
            <s xml:space="preserve">Tendat punctum aliquod in fig. </s>
            <s xml:space="preserve">72 in centrum F
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            in ratione reciproca duplicata diſtantiarum, & </s>
            <s xml:space="preserve">ex A proji-
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            ciatur directione A B perpendiculari ad A F, cum veloci-
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            tate ſatis exigua: </s>
            <s xml:space="preserve">deſcribet Ellipſim A C D E, cujus focus erit
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            F, & </s>
            <s xml:space="preserve">ſemper regredietur ad A. </s>
            <s xml:space="preserve">Decreſcat velocitas A B
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            per gradus, donec demum evaneſcat. </s>
            <s xml:space="preserve">Semper
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            agis arcta-
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            tur Ellipſis, & </s>
            <s xml:space="preserve">vertex D accedit ad focum F, in quem de-
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            mum recidit abeunte Ellipſi in rectam A F. </s>
            <s xml:space="preserve">Videtur igitur id
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              <note position="right" xlink:label="note-0341-05" xlink:href="note-0341-05a" xml:space="preserve">Fig. 72.</note>
              <note symbol="(c)" position="foot" xlink:label="note-0341-06" xlink:href="note-0341-06a" xml:space="preserve">Hæc excerpta ſunt ex eadem diſſertatione De Lege Virium in Na-
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              tura exiſtentium a num. 59.</note>
            </s>
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