Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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SUPPLEMENTA §. III.
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unitate. </
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<
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progreſſu ipſo ita attenuari; </
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<
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">nihil eſt, cur determinatio ad ac-
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ceſſum debeat pendere a ſolis diſtantiis, ac proinde ſolæ di-
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ſtantiæ ingredi formulam functionis exprimentis vim.</
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<
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<
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">Verum admiſſo etiam, quod neceſſario vis debeat pen-
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xml:space
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">Etiam ſi vis de-
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beat pendere a
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ſolis diſtantiis,
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ordinatas quo-
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que in ſe, data
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curva, pendere
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a ſo
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is abſciſſis.</
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dere a ſolis diſtantiis, nihil habetur contra expreſſionem fa-
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ctam per functionem quandam. </
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<
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">Nam ipſa functio per ſe im-
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mediate pendet a diſtantia, & </
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<
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">eſt ordinata quædam ad curvam
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quandam certæ naturæ, reſpondens abſciſſæ datæ cuilibet ſua.
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</
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<
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">Parametri inducuntur ex eo, quod illius relationem ad abſciſ-
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ſam exprimere debeamus per potentias abſciſſæ, & </
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<
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">potentiarum
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producta cum aliis rectis; </
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<
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">ſed in ſe, uti ſupra diximus, ejuſ-
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dem eſt naturæ & </
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<
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">illa functio, ac potentia quævis, & </
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<
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">illa, ut
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hæc, ordinatam immediate ſimplicem exhibet reſpondentem ab-
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ſciſſæ ad curvam quandam uniformis, & </
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<
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væ.</
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<
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<
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">Parametros i-
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pſas eſſe diſtan-
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tias: eas fun-
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ctionem eſſe in-
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greſſas, quod in
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datis diſtantiis
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debuerit haberi
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vis data, vel
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nulla.</
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ingrediuntur, poſſunt eſſe certæ quædam diſtantiæ, & </
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<
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">aſſumi
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debere ad hoc, ut illis datis diſtantiis illæ datæ, & </
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<
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vires reſpondeant. </
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<
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">Sic ubi quæſita eſt formula, quæ exprime-
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ret æquationem ad curvam quæſitam, aſſumpſimus quaſdam di-
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ſtantias, in quibus curva ſecaret axem, nimirum in quibus,
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evaneſcente vi haberentur limites, & </
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<
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">earum diſtantiarum va-
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lores ingreſſi ſunt formulam inventam, ut quædam parametri.
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</
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<
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">Poſſunt igitur ipſæ parametri eſſe diſtantiæ quædam; </
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<
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inde poſito, quod omnino debeat vis exprimi per ſolas di-
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ſtantias, poteſt adhuc exprimi per functionem continentem
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quotcunque parametros, & </
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<
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lam aliquam potentiam.</
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<
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<
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">Argumentum
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contrarium a
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defectu rationis
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ſufficientis.</
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ti, quæ dicitur parametros excludere, cum non ſit ratio, cur
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aliæ præ aliis parametri ſeligantur.</
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<
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<
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">Si vis ſit eſ.
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ſentialis mate-
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riæ; rationem
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talium para-
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metrorum eſſe
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ipſam ejus na-
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turam: cur hoc
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genus materiæ
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exiſtat, ratio-
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nem eſſe arbi-
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trium Creato-
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ris: idem, ſi ea
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non ſit eſſen-
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tialis.</
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ulterior requiri poteſt præter eam ipſam naturam, quæ deter-
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minet hanc potius, quam aliam vim pro hac potius, quam
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pro illa diſtantia, adeoque hanc potius, quam aliam parame-
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trum. </
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<
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">Quæri ad ſummum poterit, cur elegerit Naturæ Au-
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ctor eam potiſſimum materiam, quæ eam legem virium ha-
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beret eſſentialem, quam aliam: </
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<
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">ubi ego quidem, qui ſummam
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in Auctore Naturæ libertatem agnoſco, cenſeo, ut in aliis o-
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mnibus, nihil aliud requiri pro ratione ſufficienti electionis,
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quam ipſam liberam determinationem Divinæ voluntatis, a
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cujus arbitrio pendeat tum, quod hanc potius, quam aliam e-
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ligat rem, quam condat, tum quod ea re hanc in ſe naturam
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habente, ubi jam condita fuerit, utatur ad hoc potius, quam
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ad illud ex tam multis, ad quæ natura quævis a tanti Arti-
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ficis manu adhibita poteſt eſſe idonea. </
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<
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