Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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THEORIÆ
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<
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<
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xml:space
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rius e binis ad
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planum quod.
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vis ulterius æ-
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quari receſsui
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ex vi mutua.</
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net ad duorum punctorum motum ibi uſui futurum: </
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puncta moveantur viribus mutuis tantummodo, & </
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aſſumatur planum quodcunque; </
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<
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num ſecundum directionem quamcunque, æquabitur receſſui al-
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terius. </
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<
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">Id ſponte conſequitur ex eo, quod eorum abſoluti mo-
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tus ſint æquales, & </
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<
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aliam quamcunque redacti æquales itidem maneant, & </
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rii, ut erant ante. </
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<
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<
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punctorum jam ſatis.</
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ſtema puncto-
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rum trium:
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bina generalia
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problemata.</
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<
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<
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punctis quotcunque, res, ſi generaliter pertractari deberet, re-
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duceretur ad hæc duo problemata, quorum alterum pertinet ad
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vires, & </
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tua eorum punctorum, invenire magnitudinem, & </
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<
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vis, qua urgetur quodvis ex ipſis, compoſitæ a viribus, quibus
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urgetur a reliquis, quarum ſingularum virium lex communis
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datur per curvam ſiguræ primæ. </
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guræ primæ invenire motus eorum punctorum, quorum ſingula
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cum datis velocitatibus projiciantur ex datis locis cum datis di-
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rectionibus. </
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<
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pe curvæ ſiguræ 1 determinari lex virium generaliter pro o-
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mnibus diſtantiis aſſumptis in quavis recta poſitionis datæ,
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atque id tam geometrice determinando per puncta curvas,
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quæ ejuſmodi legem exhibeant, ac determinent ſive magni-
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tudinem vis abſolutæ, ſive magnitudines binarum virium, in
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quas ea concipiatur reſoluta, & </
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<
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cularis datæ illi rectæ, altera ſecundum illam agat; </
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<
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exhibendo tres formulas analyticas, quæ id præſtent. </
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<
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dum omnino generaliter acceptum, & </
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<
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">ita, ut ipſas curvas de-
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ſcribendas liceat deſinire in quovis caſu vel conſtructione, vel
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calculo, ſuperat (licet puncta ſint tantummodo tria) vires me-
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thodorum adhuc cognitarum: </
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">& </
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<
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tur tres maſſæ punctorum, eſt illud ipſum celeberrimum pro-
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blema quod appellant trium corporum, uſque adeo quæſitum
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per hæc noſtra tempora, & </
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<
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buſdam caſibus, & </
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<
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huc ſatis promoto ad accurationem calculo, ſolutum a pau-
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ciſſimis noſtri ævi Geometris primi ordinis, uti diximus num.
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<
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<
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<
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motu puncti ha-
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bentis actionem
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cum aliis binis.</
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cta ſint in ſig. </
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<
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ſa ſemper bifariam in D, ac ducta C D, & </
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triente D E, utcunque moveantur eadem puncta motibus com-
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poſitis a projectionibus quibuſcunque, & </
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ctum E debere vel quieſcere ſemper, vel progredi in directum
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motu uniformi. </
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<
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gravitatis, cujus & </
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