Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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vires ejuſdem directionis, quæ habebatur prius, adeoque per-
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get acceleratio prioris motus.</
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<
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<
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xml:space
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">Motus poſt
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proximum li-
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mitem ſupera-
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tum, & oſcil-
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latio.</
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mus limites cohæſionis, in quo nimirum ſi diſtantia per re-
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pulſionem augebatur, ſuccedet attractio; </
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<
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">ſi vero minuebatur
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per attractionem, ſuccedet e contrario repulſio, adeoque in
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utroque caſu limes erit ejuſmodi, ut in diſtantiia minoribus
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repulſionem, in majoribus attractionem ſecum ferat. </
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<
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mite in utroque caſu receſſus mutui, vel acceſſus ex præceden-
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tibus viribus, incipiet velocitas motus minui vi contraria priori,
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ſed motus in eadem directione perget; </
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<
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">donec ſub ſequenti ar-
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cu obtineatur area curvæ æqualis illi, quam habebat prior ar-
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cus ab initio motus uſque ad limitem ipſum. </
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<
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">Si ejuſmodi
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æqualitas obtineatur alicubi ſub arcu ſequente; </
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<
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">ibi, extincta
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omni præcedenti velocitate, utrumque punctum retro reflectet
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curſum; </
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<
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">& </
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<
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">ſi prius accedebant, incipient a ſe invicem rece-
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dere; </
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<
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">ſi recedebant, incipient accedere, atque id recuperando
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per eoſdem gradus velocitates, quas amiſerant, uſque ad limi-
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tem, quem fuerant prætergreſſa; </
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<
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">tum amittendo, quas acqui-
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ſiverant uſque ad diſtantiam, quam habuerant initio; </
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<
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nimirum iiſdem occurrentibus in ingreſſu, & </
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<
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">areolis curvæ iiſ-
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dem per ſingula tempuſcula exhibentibus quadratorum veloci-
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tatis incrementa, vel decrementa eadem, quæ fuerant antea
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decrementa, vel incrementa. </
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<
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reflectent, & </
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<
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">oſcillabunt circa illum cohæſionis limitem, quem
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fuerant prætergreſſa, quod facient hinc, & </
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<
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">inde perpetuo, niſi
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aliorum externorum punctorum viribus perturbentur, habentia
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velocitatem maximam in plagam utramlibet in diſtantia ipſius
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illius limitis cohæſionis.</
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<
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<
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">Quod ſi ubi primum transgreſſa ſunt proximum limi-
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xml:space
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tionis majoris
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trans plures li-
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mites.</
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tem cohæſionis, offendant arcum ita minus validum præce-
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dente, qui arcus nimirum ita minorem concludat aream,
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quam præcedens, ut tota ejus area ſit æqualis, vel etiam mi-
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nor, quam illa præcedentis arcus area, quæ habetur ab ordi-
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nata reſpondente diſtantiæ habitæ initio motus, uſque ad li-
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mitem ipſum; </
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<
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">tum vero devenient ad diſtantiam alterius li-
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mitis proximi priori, qui idcirco erit limes non cohæſionis.
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</
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<
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">Atque ibi quidem in caſu æqualitatis illarum arearum conſi-
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ſtent, velocitatibus prioribus prorſus eliſis, & </
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<
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te novas. </
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<
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">At in caſu, quo tota illa area ſequentis arcus fuerit
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minor, quam illa pars areæ præcedentis, appellent ad diſtan-
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tiam ejus limitis motu quidem retardato, ſed cum aliqua ve-
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locitate reſidua, quam diſtantiam idcirco prætergreſſa, & </
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<
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cta vires directionis mutatæ jam conſpirantes cum directione
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ſui motus, non, ut ante, oppoſitas, accelerabunt motum uſ-
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que ad diſtantiam limitis proxime ſequentis, quam prætergreſ-
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ſa procedent, ſed motu retardato, ut in priore; </
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<
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quentis arcus non ſit par extinguendæ ante ſuum finem </
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