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

Table of handwritten notes

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            vel recedet, acceſſibus, vel receſſibus reciproce proportionalibus
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            ipſis maſſis. </s>
            <s xml:space="preserve">Nam acceſſus ipſi, vel receſſus, ſunt differentiæ
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            diſtantiarum habitarum cum actione mutuarum virium a di-
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            ſtantiis habendis fine iis, adeoque erunt & </s>
            <s xml:space="preserve">ipſi in ratione reci-
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            proca maſſarum, in qua ſunt totæ diſtantiæ. </s>
            <s xml:space="preserve">Quod ſi per
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            centrum commune gravitatis concipiatur planum quodcum-
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            que, cui quæpiam data directio non ſit parallela; </s>
            <s xml:space="preserve">ſumma ac-
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            ceſſuum, vel receſſuum punctorum omnium maſſæ utriuslibet ad
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            ipſum ſecundum eam directionem demptis oppoſitis, quæ eſt
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            ſumma motuum ſecundum directionem eandem, æquabitur ac-
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            ceſſui, vel receſſui centri gravitatis ejus maſſæ ducto in puncto-
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            rum numerum; </s>
            <s xml:space="preserve">acceſſus vero, vel receſſus alterius centri ad ac-
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            ceſſum, vel receſſum alterius in directione eadem, erit ut ſe-
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            cundus numerus ad primum; </s>
            <s xml:space="preserve">nam acceſſus, & </s>
            <s xml:space="preserve">receſſus in qua-
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            vis directione data ſunt inter ſe, ut acceſſus, vel receſſus in
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            quavis alia itidem data; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">acceſſus, ac receſſus in directione,
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            quæ jungit centra maſſarum, ſunt in ratione reciproca ipſarum
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            maſſarum. </s>
            <s xml:space="preserve">Quare productum acceſſus, vel receſſus centri pri-
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            mæ maſſæ per numerum punctorum, quæ habentur in ipſa,
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            æquatur producto acceſſus, vel receſſus ſecundæ per numerum
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            punctorum, quæ in ipſa continentur; </s>
            <s xml:space="preserve">nimirum ipſæ motuum
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            ſummæ in illa directione computatorum æquales ſunt inter ſe,
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            in quo ipſa actionis, & </s>
            <s xml:space="preserve">reactionis æqualitas eſt ſita.</s>
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            <s xml:space="preserve">266 Ex hac actionum, & </s>
            <s xml:space="preserve">reactionum æqualitate ſponte pro-
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              <note position="right" xlink:label="note-0177-01" xlink:href="note-0177-01a" xml:space="preserve">Inde leges
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              -
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              liſionum: di-
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              ſcrimen virium
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              in corporibus e-
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              laſticis, & mol-
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              libus.</note>
            fluunt leges colliſionis corporum, quas ex hoc ipſo principio
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            Wrennus olim, Hugenius, & </s>
            <s xml:space="preserve">Walliſius invenerunt ſimul, ut
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            in hac ipſa lege Naturæ exponenda Newtonus etiam memo-
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            rat Principiorum lib. </s>
            <s xml:space="preserve">1. </s>
            <s xml:space="preserve">Oſtendam autem, quo pacto genera-
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            les formulæ inde deducantur tam pro directis colliſionibus cor-
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            porum mollium, quam pro perfecte, vel pro imperſecte ela-
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            ſticorum. </s>
            <s xml:space="preserve">Corpora mollia dicuntur ea, quæ reſiſtunt muta-
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            tioni figuræ, ſeu compreſſioni, ſed compreſſa nullam exercent
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            vim ad figuram recuperandam, ut eſt cera, vel ſebum: </s>
            <s xml:space="preserve">cor-
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            pora elaſtica, quæ figuram amiſſam recuperare nituntur; </s>
            <s xml:space="preserve">& </s>
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            ſi vis ad recuperandam ſit æqualis vi ad non amittendam;
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            </s>
            <s xml:space="preserve">dicuntur perfecte elaſtica, quæ quidem, ut & </s>
            <s xml:space="preserve">perfecte mol-
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            lia, nulla, ut arbitror, ſunt in Natura; </s>
            <s xml:space="preserve">ſi autem imperſecte
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            elaſtica ſunt, vis, quæ in amittenda, ad vim, quæ in recupe-
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            randa figura exercetur, datam aliquam rationem habet. </s>
            <s xml:space="preserve">Ad-
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            di ſolet & </s>
            <s xml:space="preserve">tertium corporum genus, quæ dura dicunt, quæ
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            nimirum figuram prorſus non mutent; </s>
            <s xml:space="preserve">ſed ea itidem in Na-
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            tura nuſquam ſunt juxta communem ſententiam, & </s>
            <s xml:space="preserve">multo ma-
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            gis nulla uſquam ſunt in hac mea Theoria. </s>
            <s xml:space="preserve">Adhuc qui ipſæ
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            velit agnoſcere, is mollia conſideret, quæ minus, ac minus
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            comprimantur, donec compreſſio evadat nulla; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ita, quæ de
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            mollibus dicentur, aptari poterunt duris multo meliore jure,
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            quam alii elaſticorum leges ad ipſa transferant, conſiderando ela
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            ſticitatem infinitam ita, ut figura nec mutetur, nec ſe reſtituat;</s>
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