Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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ordine, tum binaria conjungi cum ternariis, denariis, aliiſque, or-
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dine itidem quocunque, & </
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<
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trum commune gravitatis maſſæ totius. </
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<
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que maſſæ conſiderari poſſunt pro maſſa unica, cum agatur de
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numero punctorum maſſæ tantummodo, & </
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rum punctorum omnium: </
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ſam, & </
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<
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nem ipſarum. </
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<
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">Quoniam autem ex generali demonſtratione ſu-
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perius facta devenitur ſemper ad centrum gravitatis, atque id
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centrum eſt unicum; </
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<
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utique unicum devenitur.</
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<
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xml:space
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rema, ope cu-
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jus inveſtigatur
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id in figuris
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continuis.</
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ſi plurium maſſarum centra gravitatis ſint in eadem aliqua recta,
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fore etiam in eadem centrum gravitatis ſummæ omnium; </
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<
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viam ſternit ad inveſtiganda gravitatis centra etiam in pluribus
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figuris continuis. </
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<
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<
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tius trianguli eſt in illo puncto, quod a recta ducta a vertice an-
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guli cujuſvis ad mediam baſim oppoſitam relinquit trientem ver-
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ſus baſim ipſam. </
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<
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">Nam omnium rectarum baſi parallelarum,
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quæ omnes a recta BD ſecantur bifariam, ut FH, centra gra-
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vitatis ſunt in eadem recta, adeoque & </
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<
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centrum gravitatis eſt tam in recta BD, quam in recta GE
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ob eandem rationem, nempe in illo puncto C. </
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<
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dus applicatur aliis Figuris ſolidis, ut pyramidibus; </
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<
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& </
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<
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in diverſis curvis lineis, ſuperficiebus, ſolidis, hinc proſluen-
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tia, ſed meæ Theoriæ communia jam cum vulgaribus elemen-
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tis, hic omittam, & </
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<
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cedere, ubi jam ſemel demonſtratum fuerit, haberi in maſſis
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omnibus aliquod gravitatis centrum, & </
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<
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nimirum hic & </
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<
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">illud fluit, areas FAGH, FBH licet inæ-
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quales, habere tamen æquales ſummas diſtantiarum omnium
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ſuorum punctorum ab eadem recta FH.</
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<
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monſtrationis
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in communi
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methodo.</
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quam inventum eſt in fig. </
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<
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ſis A, & </
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ne maſſarum D, & </
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<
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muni omnium trium. </
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mune E maſſarum D, B, & </
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<
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in ratione reciproca maſſarum A, & </
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<
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illud ſectionis punctum pro centro gravitatis. </
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<
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demonſtratum fuiſſet, haberi ſemper aliquod, & </
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<
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gravitatis centrum; </
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<
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ſectionis punctum fore idem, ac illud prius; </
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<
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caſus ire, res infinita eſſet, cum diveræ rationes conjungendi
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maſſas eodem redeant, quo diverſi ordines litterarum conjun-
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gendarum in voces, de quarum multitudine immenſa in exiguo
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etiam terminorum numero mentionem ſecimus num. </
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<
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