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

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              <pb o="91" file="0143" n="143" rhead="PARS SECUNDA."/>
            ſerviet; </s>
            <s xml:space="preserve">quies ob frequentiam limitum, ſine
              <unsure/>
            conatu ad priorem
              <lb/>
            recuperandam ſiguram, mollium corporum ideam ſuggeret;
              <lb/>
            </s>
            <s xml:space="preserve">quæ quidem hic innuo in anteceſſum, ut magis hæreant animo,
              <lb/>
            proſpicienti jam hinc inſignes eorum uſus.</s>
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          </p>
          <note position="right" xml:space="preserve">Motus b
            <gap/>
          aorum
            <unsure/>
            <lb/>
          punctorum ob-
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          lique projecto-
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          rum.</note>
          <p>
            <s xml:space="preserve">200. </s>
            <s xml:space="preserve">Quod ſi illa duo puncta projiciantur oblique motibus
              <lb/>
            contrariis, & </s>
            <s xml:space="preserve">æqualibus per directiones, quæ cum recta jun-
              <lb/>
            gente ipſa illa duo puncta angulos æquales eſſiciant; </s>
            <s xml:space="preserve">tum vero
              <lb/>
            punctum, in quo recta illa conjungens ſecatur biſariam, ma-
              <lb/>
            nebit immotum; </s>
            <s xml:space="preserve">ipſa autem duo puncta circa id punctum gy-
              <lb/>
            rabunt in curvis lineis æqualibus, & </s>
            <s xml:space="preserve">contrariis, quæ data lege
              <lb/>
            virium per diſtantias ab ipſo puncto illo immoto (uti dare-
              <lb/>
            tur, data noſtra curva virium ſiguræ 1, cujus nimirum ab-
              <lb/>
            ſciſſæ exprimunt diſtantias punctor
              <gap/>
              <gap/>
            n a ſe invicem, adeoque
              <lb/>
            eorum dimidiæ diſtantias a puncto illo medio immoto) in-
              <lb/>
            venitur ſolutione problematis a Newtono jam olim ſoluti,
              <lb/>
            quod vocant inverſum problema virium centralium, cujus pro-
              <lb/>
            blematis generalem ſolutionem & </s>
            <s xml:space="preserve">ego exhibui ſyntheticam eo-
              <lb/>
            dem cum Newtoniana recidentem, ſed non nihil expolitam, in
              <lb/>
            Stayanis Supplementis ad lib. </s>
            <s xml:space="preserve">3. </s>
            <s xml:space="preserve">§. </s>
            <s xml:space="preserve">19.</s>
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          </p>
          <note position="right" xml:space="preserve">Caſus, in quo
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          duo puncta de-
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          beant deſcribe-
            <lb/>
          re ſpiralescirca
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          medium immo-
            <lb/>
          tum.</note>
          <p>
            <s xml:space="preserve">201. </s>
            <s xml:space="preserve">Hic illud notabo tantummodo, inter inſinita curvarum
              <lb/>
            genera, quæ deſcribi poſſunt, cum nulla ſit curva, quæ aſſum-
              <lb/>
            pto quovis puncto pro centro virium deſcribi non poſſit cum
              <lb/>
            quadam virium lege, quæ deſinitur per Problema directum vi-
              <lb/>
            rium centralium, eſſe innumeras, quæ in ſe redeant, vel in
              <lb/>
            ſpiras contorqueantur. </s>
            <s xml:space="preserve">Hinc ſieri poteſt, ut duo puncta de-
              <lb/>
            lata ſibi obviam e remotiſſimis regionibus, ſed non accurate in
              <lb/>
            ipſa recta, quæ illa jungit (qui quidem caſus accurati occurſus
              <lb/>
            in ea recta eſt inſinities improbabilior caſu deſlexionis cujuſ-
              <lb/>
            piam, cum ſit unicus poſſibilis contra inſinitos), non recedant
              <lb/>
            retro, ſed circa punctum ſpatii medium immotum gyrent per-
              <lb/>
            petuo ſibi deinceps ſemper proxima, intervallo etiam ſub ſen-
              <lb/>
            ſus non cadente; </s>
            <s xml:space="preserve">qui quidem caſus itidem diligenter notandi
              <lb/>
            ſunt, cum ſint futuri uſui, ubi de cohæſione, & </s>
            <s xml:space="preserve">mollibus cor-
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            poribus agendum erit.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">202. </s>
            <s xml:space="preserve">Si utcunque alio modo projiciantur bina puncta veloci-
              <lb/>
              <note position="right" xlink:label="note-0143-03" xlink:href="note-0143-03a" xml:space="preserve">Theorema de
                <lb/>
              ſtatu puncti me-
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              dii, & genera-
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              liter in maſſis
                <lb/>
              centri gravitatis
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              perſeverante.</note>
            tatibus quibuſcunque; </s>
            <s xml:space="preserve">poteſt facile oſtendi illud: </s>
            <s xml:space="preserve">punctum, quod
              <lb/>
            eſt medium in recta jungente ipſa, debere quieſcere, vel pro-
              <lb/>
            gredi uniformiter in directum, & </s>
            <s xml:space="preserve">circa ipſum vel quietum, vel
              <lb/>
            uniformiter progrediens, debere haberi vel illas oſcillationes,
              <lb/>
            vel illarum curvarum deſcriptiones. </s>
            <s xml:space="preserve">Verum id generalius per-
              <lb/>
            tinet ad mafſas quotcunque, & </s>
            <s xml:space="preserve">quaſcunque, quarum commune
              <lb/>
            gravitatis centrum vel quieſcit, vel progreditur uniformiter in
              <lb/>
            directum a viribus mutuis nihil turbatum. </s>
            <s xml:space="preserve">Id theorema New-
              <lb/>
            tonus propoſuit, ſed non ſatis demonſtravit. </s>
            <s xml:space="preserve">Demonſtrationem
              <lb/>
            accuratiſſimam, ac generalem ſimul, & </s>
            <s xml:space="preserve">non per caſuum indu-
              <lb/>
            ctionem tantummodo, inveni, ac in diſſertatione De Centro Gra-
              <lb/>
            vitatis propoſui, quam ipſam demonſtrationem hic etiam inferius
              <lb/>
            exhibebo.</s>
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