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

Table of Notes

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            præterea & </s>
            <s xml:space="preserve">attractiva eſſe deberet, & </s>
            <s xml:space="preserve">repulſiva, limes videli-
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            cet omnium & </s>
            <s xml:space="preserve">attractivarum, & </s>
            <s xml:space="preserve">repulſivarum; </s>
            <s xml:space="preserve">idcirco ne hic
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            quidem caſus admitti debet, niſi cum hac conditione, ut or-
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            dinata creſcat in ratione reciproca ſimplici diſtantiarum a C,
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            vel etiam majore, ut nimirum area infinita evadat, & </s>
            <s xml:space="preserve">acceſ-
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            ſum a puncto C prohibeat.</s>
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          <p>
            <s xml:space="preserve">188. </s>
            <s xml:space="preserve">Quando habeatur hic quartus caſus in noſtra curva
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              <note position="left" xlink:label="note-0138-01" xlink:href="note-0138-01a" xml:space="preserve">Tranſitus per
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              e
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              um limitem
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              im poſſibilis: in
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              quibus diſtanti-
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              is conſtet, eum
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              non haberi.</note>
            cum ea conditione; </s>
            <s xml:space="preserve">tum quidem nullum punctum collocatum
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            ex altera parte puncti C poterit ad alteram tranſilire, qua-
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            cunque velocitate ad acceſſum impellatur verſus alterum pun-
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            ctum, vel ad receſſum ab ipſo, impediente tranſitum area
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            repulſiva infinita, vel infinita attractiva. </s>
            <s xml:space="preserve">Inde vero facile
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            colligitur, eum caſum non haberi ſaltem in ea diſtantia, quæ
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            a diametris minimarum particularum conſpicuarum per mi-
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            croſcopia ad maxima protenditur fixarum intervalla nobis con-
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            ſpicuarum per teleſcopia: </s>
            <s xml:space="preserve">lux enim liberrime permeat inter-
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            vallum id omne. </s>
            <s xml:space="preserve">Quamobrem ſi ejuſmodi limites aſymptoti-
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            ci ſunt uſpiam, debent eſſe extra noſtræ ſenſibilitatis ſphæram,
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            vel ultra omnes teleſcopicas fixas, vel citra microſcopicas mo-
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            leculas.</s>
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            <s xml:space="preserve">189. </s>
            <s xml:space="preserve">Expoſitis hiſce, quæ ad curvam virium pertinebant,
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              <note position="left" xlink:label="note-0138-02" xlink:href="note-0138-02a" xml:space="preserve">Tranſitus ad
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              puncta mate-
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              r
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              iæ, & maſſas.</note>
            aggrediar ſimpliciora quædam, quæ maxime notatu digna ſunt,
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            ac pertinent ad combinationem punctorum primo quidem duo-
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            rum, tum trium, ac deinde plurium in maſſas etiam coale-
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            ſcentium, ubi & </s>
            <s xml:space="preserve">vires mutuas, & </s>
            <s xml:space="preserve">motus quoſdam, & </s>
            <s xml:space="preserve">vires,
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            quas in alia exercent puncta, conſiderabimus.</s>
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            <s xml:space="preserve">190. </s>
            <s xml:space="preserve">Duo puncta poſita in diſtantia æquali diſtantiæ limi-
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              <note position="left" xlink:label="note-0138-03" xlink:href="note-0138-03a" xml:space="preserve">Quies in li-
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              mitibus: mo-
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              tus puncti po-
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              ſ
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              ti extra ipſos.</note>
            tis cujuſcunque ab initio abſciſſarum, ut in fig. </s>
            <s xml:space="preserve">1. </s>
            <s xml:space="preserve">AE, AG,
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            AI &</s>
            <s xml:space="preserve">c, (immo etiam ſi curva alicubi axem tangat, æquali
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            diſtantiæ contactus ab eodem), ac ibi poſita ſine ulla velo-
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            citate, quieſcent, ut patet, quia nullam habebunt ibi vim
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            mutuam: </s>
            <s xml:space="preserve">poſita vero extra ejuſmodi limites, incipient ſtatim
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            ad ſe invicem accedere, vel a ſe invicem recedere per inter-
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            valla æqualia, prout fuerint ſub arcu attractivo, vel repulſivo.
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            </s>
            <s xml:space="preserve">Quoniam autem vis manebit ſemper uſque ad proximum li-
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            mitem directionis ejuſdem; </s>
            <s xml:space="preserve">pergent progredi in ea recta, quæ
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            ipſa urgebat prius, uſque ad diſtantiam limitis proximi, motu
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            ſemper accelerato, juxta legem expoſitam num. </s>
            <s xml:space="preserve">176, ut nimi-
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            rum quadrata velocitatum integrarum, quæ acquiſitæ jam ſunt
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            uſque ad quodvis momentum (nam velocitas initio ponitur
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            nulla) reſpondeant areis clauſis inter ordinatam reſpondentem
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            puncto axis terminanti abſciſſam, quæ exprimebat diſtantiam
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            initio motus, & </s>
            <s xml:space="preserve">ordinatam reſpondentem puncto axis termi-
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            nanti abſciſſam, quæ exprimit diſtantiam pro eo ſequenti mo-
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            mento. </s>
            <s xml:space="preserve">Atque id quidem, licet interea occurrat contactus
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            aliquis; </s>
            <s xml:space="preserve">quamvis enim in eo vis ſit nulla, tamen ſuperata di-
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            ſtantia per velocitatem jam acquiſitam, ſtatim habentur </s>
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