Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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que magnæ; </
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">devenitur enim ſaltem ad primum aſymptoticum
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">fifti a primo cru-
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re repulſivo pro
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receſſu bini ca-
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ſu;
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. In primo
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cruris attracti-
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vi aſymptotici
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femper ſiſti re-
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ceſſum etiam.</
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crus, quod in infinitum protenditur: </
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<
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">at pro receſſu duo hic
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caſus occurrunt potiſſimum conſiderandi. </
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<
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">Vel enim etiam in
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receſſu devenitur ad aliquod crus aſymptoticum attractivum
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cum area infinita, de cujuſmodi caſibus egimus jam num. </
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<
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vel devenitur ad arcum attractivum recedentem longiſſime, & </
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continentem aream admodum ingentem, ſed finitam. </
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<
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que caſu actio punctorum, quæ extra maſſam ſunt ſita, alio-
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rum punctorum maſſæ inteſtino illo motu agitatæ ofcillatio-
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nem augebit, aliorum imminuet, & </
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<
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">puncta alia poſt alia pro-
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current ulterius verſus aſymptotum, vel limitem terminantem
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attractivas vires: </
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<
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">quin etiam actiones mutuæ punctorum non
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in directum jacentium in maſſa multis punctis conſtante, mu-
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tabunt ſane ſingulorum punctorum maximos excurſus hinc, & </
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inde, & </
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<
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">variabunt plurimum acceſſus mutuos, ac receſſus,
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qui in duobus punctis ſolis motum habentibus in recta, quæ
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illa conjungit, deberent, uti monuimus num. </
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<
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nis actionibus eſſe conſtantis ſemper magnitudinis. </
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<
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">In acceſſu
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tamen in utroque caſu ad compenetrationem ſane nunquam
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deveniretur: </
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<
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">in receſſu vero in primo caſu cruris aſymptotici,
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& </
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<
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">attractionis in infinitum creſcentis cum area curvæ i
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n infi-
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nitum aucta, itidem nunquam deveniretur ad diſtantiam illius
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aſymptoti. </
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<
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">Quare in eo primo caſu utcunque vehemens eſſet
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interna maſſæ fermentatio, utcunque magnis viribus ab exter-
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nis punctis in majore diſtantia ſitis perturbaretur eadem maſſa,
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ipſius diſſolutio per nullam finitam vim, aut velocitatem al-
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teri parti impreſſam haberi unquam poſſet.</
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<
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<
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">In ſecundo ca-
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fu arcus attra-
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ctivi ingentis,
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ſed finiti egreſ-
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ſus partis pun-
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ctorum excuſſo-
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rum e fine oſcil-
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lationis ſine re-
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greſſu.</
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mus ejus ſpatii ingens eſſet, ſed finitus, poſſet utique quorun-
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dam punctorum in illa agitatione augeri excurſus uſque ad li-
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mitem, poſt quem limitem ſuccedente repulſione, jam illud
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punctum a maſſa illa quodammodo velut avulſum avolaret, & </
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motu accelerato recederet. </
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<
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">Si poſt eum limitem ſumma area-
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rum repulſivarum eſſet major, quam ſumma attractivarum, do-
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nec deveniatur ad arcum illum, qui gravitatem exprimit, in
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quo vis jam eſt perquam exigua, & </
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<
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">area aſymptotica ulterior
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in infinitum etiam producta, eſt finita, & </
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<
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<
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">tum vero
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puncti elapſi receſſus ab illa maſſa nunquam ceſſaret actione
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maſſæ ipſius, ſed ipſum punctum pergeret recedere, donec a-
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liorum punctorum ad illam maſſam non pertinentium viribus
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ſiſteretur, vel detorqueretur utcunque. </
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<
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tatione interna, ut & </
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<
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">in externa perturbatione fortuita, illud
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accidet, quod in omnibus fortuitis combinationibus accidit,
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ut numerus caſuum cujuſdam dati generis in dato ingenti nu-
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mero caſuum æque poſſibilium dato tempore recurrat ad ſen-
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ſum idem, adeoque effluxus eorum punctorum, ſi maſſa per-
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ſeveret ad ſenſum eadem, erit dato tempore ad ſenſum idem,
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vel, maſſa multum imminuta, imminuetur in aliqua </
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