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

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              <pb o="122" file="0174" n="174" rhead="THEORIÆ"/>
            Concipiamus vires ſingulas per quodvis determinatum tempuſ-
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            culum ſervare directiones ſuas, & </s>
            <s xml:space="preserve">magnitudines: </s>
            <s xml:space="preserve">in fine ejus
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            tempuſculi punctum materiæ quodvis erit in eo loci puncto,
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            in quo eſſet, ſi ſingularum virium effectus, vel effectus velo-
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            citatis ipſius illi tempuſculo debitus, haberentur cum eadem
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            ſua directione, & </s>
            <s xml:space="preserve">magnitudine alii poſt alios totidem tempuſ-
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            culis, quot vires agunt. </s>
            <s xml:space="preserve">Aſſumantur jam totidem tempuſcu-
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            la, quot ſunt punctorum binaria diverſa in ea omni congerie,
              <lb/>
            & </s>
            <s xml:space="preserve">præterea unum, ac primo tempuſculo habeant omnia pun-
              <lb/>
            cta motus debitos velocitatibus illis ſuis, quas habent initio
              <lb/>
            ipſius, ſingula ſingulos; </s>
            <s xml:space="preserve">tum aſſignato quovis e ſequentibus
              <lb/>
            tempuſculis cuivis binario, habeat binarium quodvis tempuſ-
              <lb/>
            culo ſibi reſpondente motum debitum vi mutuæ, quæ agit in-
              <lb/>
            ter bina ejus puncta, ceteris omnibus quieſcentibus. </s>
            <s xml:space="preserve">In fine
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            poſtremi tempuſculi omnia puncta materiæ erunt in hac hy-
              <lb/>
            potheſi in iis punctis loci, in quibus revera eſſe debent in fine
              <lb/>
            unici primi tempuſculi ex actione conjuncta virium omnium
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            cum ſingulis ſingulorum velocitatibus.</s>
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          </p>
          <p>
            <s xml:space="preserve">261. </s>
            <s xml:space="preserve">Concipiatur jam ultra omnia ejuſmodi puncta planum
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              <note position="left" xlink:label="note-0174-01" xlink:href="note-0174-01a" xml:space="preserve">Progreſſus ejuſ-
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              dem demon-
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              ſtrationis.</note>
            quodcunque. </s>
            <s xml:space="preserve">Primo ex illis tot aſſumptis tempuſculis alia
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            puncta accedent, alia recedent ab eo plano, & </s>
            <s xml:space="preserve">ſumma omnium
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            acceſſuum punctorum omnium demptis omnibus receſſibus, ſi
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            qua ſupereſt, vel vice verſa ſumma receſſuum demptis acceſ-
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            ſibus, diviſa per numerum omnium punctorum, æquabitur ac-
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            ceſſui perpendiculari ad idem planum, vel receſſui centri gra-
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            vitatis communis; </s>
            <s xml:space="preserve">cum ſumma diſtantiarum perpendicularium
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            tam initio tempuſculi, quam in fine, diviſa per eundem nu-
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            merum exhibeat ipſius communis centri gravitatis diſtantiam
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            juxta num. </s>
            <s xml:space="preserve">246. </s>
            <s xml:space="preserve">Sequentibus autem tempuſculis manebit uti-
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            que eadem diſtantia centri gravitatis communis ab eodem pla-
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            no nunquam mutata; </s>
            <s xml:space="preserve">quia ob æquales & </s>
            <s xml:space="preserve">contrarios puncto-
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            rum motus, alterius acceſſus ab alterius receſſu æquali eliditur.
              <lb/>
            </s>
            <s xml:space="preserve">Quamobrem in fine omnium tempuſculorum ejus diſtantia
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            erit eadem, & </s>
            <s xml:space="preserve">acceſſus ad planum erit idem, qui eſſet, ſi ſo-
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            læ adſuiſſent ejuſmodi velocitates, quæ habebantur initio; </s>
            <s xml:space="preserve">adeo-
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            que etiam cum omnes vires ſimul agunt, in fine illius unici
              <lb/>
            tempuſculi habebitur diſtantia, quæ haberetur, ſi vires illæ mu-
              <lb/>
            tuæ non egiſſent, & </s>
            <s xml:space="preserve">acceſſus æquabitur ſummæ acceſſuum, qui
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            haberentur ex ſolis velocitatibus, demptis receſſibus. </s>
            <s xml:space="preserve">Si jam
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            conſideretur ſecundum tempuſculum in quo ſimul agant vires mu-
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            tuæ, & </s>
            <s xml:space="preserve">velocitates; </s>
            <s xml:space="preserve">debebunt conſiderari tria genera motuum: </s>
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              <lb/>
            primum eorum, qui proveniunt a velocitatibus, quæ habeban-
              <lb/>
            tur initio primi tempuſculi; </s>
            <s xml:space="preserve">ſecundum eorum, qui proveniunt
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            a velocitatibus acquiſitis actione virium durante per primum
              <lb/>
            tempuſculum; </s>
            <s xml:space="preserve">tertium eorum, qui proveniunt a novis actio-
              <lb/>
            nibus virium mutuarum, quæ ob mutatas jam poſitiones conci-
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            piantur aliis directionibus agere per totum ſecundum tempuſcu-
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            lum. </s>
            <s xml:space="preserve">Porro quoniam hi poſteriorum duorum generum </s>
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