Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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THEORIÆ
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{AxAPxPQ-AxAP
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/PQ}. </
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<
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xu cum B erit {BxBPxPQ = BxPB
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/PQ}, & </
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<
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<
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mnibus poſitis = o, diviſor communis PQ abit, & </
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<
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ſitiva æquantur ne gativis. </
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<
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BxBPxPQ &</
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<
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+ BxBP
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&</
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<
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<
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">quare PQ =
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{AxAP
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+ BxBP
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&</
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<
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<
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">c}, quæ formula eſt eadem, ac formula
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centri oſcillationis, ac habetur hujuſmodi theorema: </
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<
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">Diſtantia
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centri percuſſionis a puncto converſionis æquatur diſtantiæ centri
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oſcillationis a puncto ſuſpenſionis; </
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<
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">adeoque hic locum habent in
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hoc caſu, quæcunque de centro oſcillationis ſuperius dicta
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ſunt.</
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<
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<
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vi
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percuſſionis
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in ipſo centro.</
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bit QP. </
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<
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<
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">{AxAP
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/PQ}, quæ erit vis in Q ex
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nexu cum A. </
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<
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<
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oque ſumma virium erit {AxAP
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+ BxBP
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/PQ} &</
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<
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= {AxAP
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+ BxBP
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/AxAP + BxBP &</
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<
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">c}, ſumma illa erit AxAP + BxRP
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&</
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<
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<
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">nimirum ejuſmodi vis erit æqualis ſummæ virium, quæ
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requiruntur ad ſiſtendos omnes motus maſſarum A, B &</
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<
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">c cum
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illis di verſis velocitatibus progredientium, videlicet ejuſmodi,
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quæ in maſſa percuſſionem excipiente poſſit producere quanti-
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tatem motus æqualem toti motui, qui ſiſtitur in maſſis omni-
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bus, quod congruit cum lege actionis, & </
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<
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& </
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<
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plagam, de quibus egimus num. </
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<
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<
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multa, quæ ad
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hanc Theoriam
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pertinerent, ad
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quam pertinet
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univerſa Me-
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chanica.</
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ſummas virium, quibus agunt maſſæ, compoſitarum e viri-
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bus, quibus agunt puncta, vel a Newtono, vel ab aliis de-
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monſtrata, & </
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<
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<
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">Phyſica: </
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modi ſunt ea omnia, quæ Newtonus habet ſectione 12, & </
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<
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libri 1 Princip. </
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<
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">de attractionibus corporum ſphæricorum, & </
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non ſphæricorum, quæ componantur ex attractionibus particu-
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larum; </
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<
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">ubi habentur præclariſſima theoremata tam pro viribus
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quibuſcunque generaliter, quam pro certis virium legibus, ut
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illud, quod pertinet ad rationem reciprocam duplicatam diſtan-
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tiarum, in qua globus globum trahit, tanquam ſi omnis ma-
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teria eſſet compenetrata in centris eorundem; </
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