Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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bi, una cum æqualitate actionis, & </
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<
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totam perficient. </
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<
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">Sit enim maſſa, ſive quantitas materiæ,
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globi præcurrentis = q, inſequentis = Q; </
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<
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">celeritas illius = c,
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hujus = C: </
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<
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">quantitas motus illius ante colliſionem erit cq,
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hujus CQ; </
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<
s
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">nam celeritas ducta per numerum punctorum ex-
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hibet ſummam motuum punctorum omnium, ſive quantitatem
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motus; </
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<
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">unde etiam fit, ut quantitas motus per maſſam divi-
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ſa exhibeat celeritatem. </
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<
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">Ob actionem, & </
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<
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hæc quantitas erit eadem etiam poſt colliſionem, poſt quam
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motus totus utriuſque maſſæ, erit CQ + cq. </
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<
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">Quoniam autem
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progrediuntur cum æquali celeritate; </
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<
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">celeritas illa habebitur; </
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<
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quantitas motus dividatur per totam quantitatem materiæ; </
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<
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">quæ
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idcirco erit {CQ + cq/Q + q}. </
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<
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">Nimirum ad habendam velocitatem
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communem poſt colliſionem, oportebit ducere ſingulas maſſas in
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ſuas celeritates, & </
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<
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maſſarum.</
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<
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<
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ad omnes ca-
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ſus: ce eritas
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amiſſa, vel ac-
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quiſlta.</
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c conſiderare = o: </
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<
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">& </
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<
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">ſi moveatur motu contrario motui prio-
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ris globi; </
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<
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& </
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<
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<
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ſu globorum in eandem progredientium plagam, omnes caſus
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contineat. </
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<
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">In eo autem ſi libeat invenire celeritatem amiſſam a
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globo Q, & </
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<
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">celeritatem acquiſitam a globo q, ſatis erit redu-
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cere ſingulas formulas C - {CQ + cq/Q + q}, &</
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<
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">{CQ + cq/Q + q} - c
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ad eundem denominatorem, ac habebitur {Cq - cq/Q + q}, & </
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{CQ - cQ/Q + q}, ex quibus deducitur hujuſmodi theorema: </
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<
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ma maſſarum ad maſſam alteram, ita differentia celeritatum ad
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celeritatem ab altera acquiſitam, quæ in eo caſu accelerabit mo-
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tum præcurrentis, & </
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<
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<
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<
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xml:space
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">Tranſitus ad
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-
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laſticorum col-
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liſiones.</
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progredi ad perfecte elaſtica. </
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<
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">In iis poſt compreſſionem maxi-
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mam, & </
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<
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">mutationem figuræ inductam ab ipſa, quæ habetur,
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ubi ad æquales velocitates eſt ventum, agent adhuc in ſe invi-
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cem bini globi, donec deveniant ad ſiguram priorem, & </
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<
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actio duplicabit effectum priorem. </
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<
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">Ubi ad ſphæricam figuram
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deventum fuerit, quod fit receſſu mutuo oppoſitarum ſuperficie-
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rum, quæ in compreſſione ad ſe invicem acceſſerant, pergent
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utique a ſe invicem recedere aliquanto magis eædem ſuperficies,
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& </
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<
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">figura producetur, ſed oppoſita jam vi mutua inter partes
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ejuſdem globi incipient retrahi, & </
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<
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uſque lentius, donec ad maximam quandam productionem </
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