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

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          <head xml:space="preserve">PARS II</head>
          <head style="it" xml:space="preserve">Theoriæ applicatio ad Mechanicam.</head>
          <p>
            <s xml:space="preserve">166. </s>
            <s xml:space="preserve">COnſiderabo in hac ſecunda parte potiffimum gene-
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              <note position="right" xlink:label="note-0129-01" xlink:href="note-0129-01a" xml:space="preserve">Ante applica-
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              tionem ad Me-
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              chanicam con-
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              ſideratio cur
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              æ.</note>
            rales quaſdam leges æquilibrii, & </s>
            <s xml:space="preserve">motus tam pun-
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            ctorum, quam maffarum, quæ ad Mechanicam u-
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            tique pertinent, & </s>
            <s xml:space="preserve">ad plurima ex iis, quæ in elementis Mec
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            a-
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            nicæ paffim traduntur, ex unico principio, & </s>
            <s xml:space="preserve">adhibito con-
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            ſtanti ubique agendi modo, demonſtranda viam ſternunt pro-
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            niffimam. </s>
            <s xml:space="preserve">Sed prius præmittam nonnulla, quæ pertinent ad
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            ipſam virium curvam, a qua utique motuum phænomena pen-
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            dent omnia.</s>
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          <p>
            <s xml:space="preserve">167. </s>
            <s xml:space="preserve">In ea curva conſideranda ſunt potiffimum tria, arcus
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              <note position="right" xlink:label="note-0129-02" xlink:href="note-0129-02a" xml:space="preserve">Quid in ea
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              conſiderandum.</note>
            curvæ, area comprehenſa inter axem, & </s>
            <s xml:space="preserve">arcum, quam generat
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            ordinata continuo fluxu, ac puncta illa, in quibus curva ſecat
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            axem.</s>
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          <p>
            <s xml:space="preserve">168. </s>
            <s xml:space="preserve">Quod ad arcus pertinet, alii dici poffunt repulſivi, & </s>
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              <note position="right" xlink:label="note-0129-03" xlink:href="note-0129-03a" xml:space="preserve">Diverſa arcuum
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              genera: arcus
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              aſymptotici et-
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              iam numero in-
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              finiti.</note>
            alii attractivi, prout nimirum jacent ad partes cruris aſym-
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            ptotici ED, vel ad contrarias, ac terminant ordinatas exhi-
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            bentes vires repulſivas, vel attractivas. </s>
            <s xml:space="preserve">Primus arcus ED de-
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            bet omnino effe aſymptoticus ex parte repulſiva, & </s>
            <s xml:space="preserve">in infini-
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              <note position="right" xlink:label="note-0129-04" xlink:href="note-0129-04a" xml:space="preserve">Fig. 1.</note>
            tum productus: </s>
            <s xml:space="preserve">ultimus TV, ſi gravitas cum lege virium re-
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            ciproca duplicata diſtantiarum protenditur in infinitum, debet
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              <gap/>
            tidem effe aſymptoticus ex parte attractiva, & </s>
            <s xml:space="preserve">itidem natura
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            fua in infinitum productus. </s>
            <s xml:space="preserve">Reliquos figura I exprimit omnes
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            finitos. </s>
            <s xml:space="preserve">Verum curva Geometrica etiam ejus naturæ, quam
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            expoſuimus, pofſet habere alia itidem aſymptotica crura, quot
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            libuerit, ut ſi ordinata m n in H abeat in infinitum. </s>
            <s xml:space="preserve">Sunt
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            nimirum curvæ continuæ, & </s>
            <s xml:space="preserve">uniformis naturæ, quæ aſympto-
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            os habent plurimas, & </s>
            <s xml:space="preserve">habere poffunt etiam numero infinitas. </s>
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          <note position="right" xml:space="preserve">Fig. 12.</note>
          <note symbol="(i)" position="foot" xml:space="preserve">Sit ex. gr. in fig. 12. cyclois continua CDEFGH &c, quam generet
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          punctum peripheriæ circuli continuo revoluti ſupra rectam AB, quæ natu- ra ſua protenditur utrinque in infinitum, adeoque in inſinitis punctis C, E, G, I &c occurrit baſi A B. Si ubicunque ducatur quævis ordinata PQ, producaturque in R ita, ut ſit PR tertia poſt PQ, & datam quam- piam rectam; punctum R erit ad curvam continuam conſtantem totidem ramis MNO, VXY &c, quot erunt arcus Cycloidales CDE, &c, quorum ramorum ſinguli habebunt bina crura aſymptotica, cum ordinata PQ in acceſſu ad omnia puncta, C, E, G &c decreſcat ultra quoſcunque limites, adeoque ordinata PR creſcat ultra limites quoſcunque. Erunt hic quidem omnes aſymptoti CK, EL, GS &c parallelæ inter ſe, & perpen- diculares baſi AB, quod in aliis curvis non eſt neceſſarium, cum etiam divergentes utcunque poſſint eſſe. Erunt autem & totidem numero, quo
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          puncta illa C, E, G &c, nimirum infinitæ. Eodem autem pacto carvarum</note>
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