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

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              <pb o="34" file="0086" n="86" rhead="THEORIÆ"/>
            dunt errores Jovis, ac Saturni potiſſimum, ubi ad ſe invicem
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            accedunt, uti & </s>
            <s xml:space="preserve">curvatura orbitæ lunaris orta ex ejus gravitate
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            in terram comparata cum æſtu maris orto ex inæquali partium
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            globi terraquei gravitate in Lunam. </s>
            <s xml:space="preserve">Ipſæ noſtræ vires, quas
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            nervorum ope exerimus, ſemper in partes oppoſitas agunt, nec
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            ſatis valide aliquid propellimus, niſi pede humum, vel etiam,
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            ut efficacius agamus, oppoſitum parietem ſimul repellamus. </s>
            <s xml:space="preserve">En
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            igitur inductionem, quam utique ampliorem etiam habere poſ-
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            ſumus, ex qua illud pro eo quoque caſu debemus inferre,
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            eam ibi vim in utrumque corpus agere, quæ actio ad æqua-
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            litatem non reducet inæquales illas velocitates, niſi augeat
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            præcedentis, minuat conſequentis corporis velocitatem; </s>
            <s xml:space="preserve">ni-
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            mirum niſi in iis producat velocitates quaſdam contrarias,
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            quibus, ſi ſolæ eſſent, deberent a ſe invicem recedere: </s>
            <s xml:space="preserve">ſed quia
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            eæ componuntur cum præcedentibus; </s>
            <s xml:space="preserve">hæc utique non rece-
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            dunt, ſed tantummodo minus ad ſe invicem accedunt, quam
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            accederent.</s>
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          <p>
            <s xml:space="preserve">75. </s>
            <s xml:space="preserve">Invenimus igitur vim ibi debere eſſe mutuam, quæ ad
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              <note position="left" xlink:label="note-0086-01" xlink:href="note-0086-01a" xml:space="preserve">Hinc dicendam
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              eſſe repulſivam:
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              quærendam e-
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              jus legem.</note>
            partes oppoſitas agat, & </s>
            <s xml:space="preserve">quæ ſua natura determinet per ſeſe
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            illa corpora ad receſſum mutuum a ſe invicem. </s>
            <s xml:space="preserve">Hujuſmodi
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            igitur vis ex nominis definitione appellari poteſt vis repulſiva.
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            </s>
            <s xml:space="preserve">Quærendum jam ulterius, qua lege progredi debeat, an immi-
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            nutis in immenſum diſtantiis ad datam quandam menſuram de-
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            veniat, an in infinitum excreſcat?</s>
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          </p>
          <p>
            <s xml:space="preserve">76. </s>
            <s xml:space="preserve">Ut in illo caſu evitetur ſaltus; </s>
            <s xml:space="preserve">ſatis eſt in allato exem-
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              <note position="left" xlink:label="note-0086-02" xlink:href="note-0086-02a" xml:space="preserve">Ea vi debere
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              totum velocita-
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              tatum diſcri-
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              mon alidi ante
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              contactum.</note>
            plo; </s>
            <s xml:space="preserve">ſi vis repulſiva, ad quam delati ſumus, extinguat velo-
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            citatum differentiam illam 6 graduum, antequam ad contactum
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            immediatum corpora devenerint: </s>
            <s xml:space="preserve">quamobrem poſſent utique
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            devenire ad eum contactum eodem illo momento, quo ad
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            æqualitatem velocitatum deveniunt. </s>
            <s xml:space="preserve">At ſi in alio quopiam ca-
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            ſu corpus ſequens impellatur cum velocitatis gradibus 20, cor-
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            pore præcedente cum ſuis 6; </s>
            <s xml:space="preserve">tum vero ad contactum deveni-
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            retur cum differentia velocitatum majore, quam graduum 8.
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            </s>
            <s xml:space="preserve">Nam illud itidem ampliſſima inductione evincitur, vires o-
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            mnes nobis cognitas, quæ aliquo tempore agunt, ut veloci-
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            tatem producant, agere in ratione temporis, quo agunt, & </s>
            <s xml:space="preserve">
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            ſui ipſius. </s>
            <s xml:space="preserve">Rem in gravibus oblique deſcendentibus experimen-
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            ta confirmant; </s>
            <s xml:space="preserve">eadem & </s>
            <s xml:space="preserve">in elaſtris inſtitui facile poſſunt, ut
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            rem comprobent; </s>
            <s xml:space="preserve">ac id ipſum eſt fundamentum totius Me-
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            chanicæ, quæ inde motuum leges eruit, quas experimenta in
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            pendulis, in projectis gravibus, in aliis pluribus compro-
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            bant, & </s>
            <s xml:space="preserve">Aſtronomia confirmat in cæleſtibus motibus. </s>
            <s xml:space="preserve">Quam-
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            obrem illa vis repulſiva, quæ in priore caſu extinxit 6
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            tantummodo gradus diſcriminis, ſi agat breviore tempore in ſe-
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            cundo caſu, non poterit extinguere niſi pauciores, minore nimi-
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            rum velocitate producta utrinque ad partes contrarias. </s>
            <s xml:space="preserve">At bre-
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            viore utique tempore aget: </s>
            <s xml:space="preserve">nam cum majore velocitatum diſcri-
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            mine velocitas reſpectiva eſt major, ac proinde acceſſus celerior.</s>
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