Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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debeat. </
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<
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<
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">75, illius diſſertationis, ubi habetur hujuſmodi Problema: </
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<
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ram curvæ, cujus abſciſſis exprimentibus diſtantias, ordinatæ ex-
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primant vires, mutatis diſtantiis utcunque mutatas, & </
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<
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quotcunque limitibus tranſeuntes e repulſrvis in attr
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ctivas, ac
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ex attractivis in repulſivas, in minimis autem diſtaǹtiis repulſi-
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vas, & </
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<
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">ita creſcentes, ut ſint pares extinguendæ cuicunque ve-
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locitati utcunque magnœ. </
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<
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</
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<
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">quoniam poſuimus mutatis diſtantiis utcunque mutatas, comple-
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ctitur propoſitio etiam rationem, quæ ad rationem reciprocam du-
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plicatam diſtantiarum accedat, quantum libuerit, in quibuſdam
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ſatis magnis diſtantiis.</
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<
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ejus problema.
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tis.</
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pono ſequentes ſex conditiones, quæ requirantur, & </
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<
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ad habendam curvam, quæ quæritur. </
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<
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<
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ſimplex, & </
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<
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varum. </
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<
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<
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<
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ctis quibuſdam datis ad binas diſtantias AE`, AE; </
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AG, & </
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<
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<
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<
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<
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dinatæ æquales. </
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<
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<
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">ut babeant rectam AB pro aſymptoto,
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area aſymptotica BAED exiſtente infinita. </
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<
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<
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">ut ar- cus binis quibuſcunque interſectionibus terminati poſſint variari,
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ut libuerit, & </
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<
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">ad quaſcunque diſtantias recedere ab axe C`AC,
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ac accedere ad quoſcunque quarumcunque curvarum arcus, quan-
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tum libuerit, eos ſecando, vel tangendo, vel oſculando ubicun-
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que, & </
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<
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">Qui velit ipſam rei determinationem videre, poterit bic in fine,
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abi Supplemontorum §. 3. exbibebitur ſolutio problematis, quæ in memorata
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diſſertatione continetar a num. 77. ad 110. Sed & numerorum orde, & fi-
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gurarum mutabitur, at cam reliquis bujuſce operis cobæreat.</
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">Addetur prœterea eidem §. poſtremum ſcbolium pertinens ad quæſtionem
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agitatam ante bos aliquot annos Pariſiis; an vis matua inter materiæ par-
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ticulas debeat omnino exprimi per ſolam aliquam diſtantiæ potentiam, an
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poſſit per aliquam ejus ſunctionem; & conſtabit, poſſe utique per functio-
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nem, ut bic ego præſto, quæ uti ſuperiore numero de curvis eſt dictum,
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eſt in ſe æque ſimplex etiam, ubi nobis potentias ad ejus expreſſionem ad-
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bibentibus videatur admodum compoſita.</
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">Id, ut & quarta conditio, requiritur, ut curva utrinque ſit ſui
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ſimilis, quod ipſam magis uniformem reddit; quanquam de illo crure,
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quod eſt citra aſymptotum AB, nibil eſt, quod ſaliciti ſimus; cum ob vim
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repulſivam imminutis diſtantiis ita in infinitum excreſcentem, non poſſ
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ab-
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ſciſſa diſtantiam exprimens unquam evadere zero, & abire in negativam.</
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abſciſſæ exprimant diſtantias, & ordinatœ vires, exprimere incrementum,
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vel decrementum quadrati velocitatis: quare ut illæ vires ſint pares extin-
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guenàœ velocitati cuivis utcunque magnæ, debet illa area eſſe omni ſinit
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ajor.</
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