Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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THEORIÆ
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CD conſideratum ut immobile, quod contingat phyſice in N,
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le.</
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& </
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<
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trum B, ad quod appellet ipſum centrum, & </
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<
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ſi reſilit. </
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<
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rallelogrammo AFBE, in communi methodo reſolvitur ve-
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locitas AB in duas AF, AE: </
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<
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">ſive FB, EB, primam dicunt
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manere illæſam, ſecundam deſtrui a reſiſtentia plani: </
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<
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ſeverare illam ſolam per BI æqualem ipſi FB; </
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">ſi corpus in-
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currens ſit perfecte molle, vel componi cum alia in perſecte
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elaſticis BE æquali priori EB, in imperfecte elaſticis Be, quæ
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ad priorem EB habeat rationem datam, & </
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mo caſu BI, in ſecundo BM, in tertio Bm. </
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<
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Theoria globus, a viribus in illa minima diſtantia agentibus,
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quæ ibi ſunt repulſivæ, acquirit ſecundum directionem NE
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perpendicularem plano repellenti CD in primo caſu velocita-
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tem BE, æqualem illi, quam acquireret, ſi cum velocitate
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EB perpendiculariter adveniſſet per EB, in ſecundo BL ejus
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duplam, in tertio BP, quæ ad ipſam habeat illam rationem
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datam r ad 1, ſive m + n ad m, & </
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<
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">habet deinde velocitatem
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compoſitam ex velocitate priore manente, ac expreſſa per BO
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æqualem AB, & </
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<
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">poſitam ipſi in directum, ac ex altera BE,
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BL, BP, ex quibus conſtat, componi illas ipſas BI, BM,
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Bm, quas prius; </
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<
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Im æquales BE, Be, ſive EL, EP, totæ etiam BE, BP,
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BL totis OI, OM, Om ſint æquales, & </
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<
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<
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<
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Theoria com
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poſitionem re-
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ſ
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olutioni ſubſti-
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tui, eaſque ſi-
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bi invicem æ-
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quivalere.</
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dit, quo in communi methodo per earum reſolutionem. </
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ſolutionem ſolent vulgo admittere in motibus, quos vocant
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impeditos, ubi vel planum ſubjectum, vel ripa ad latus pro-
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curſum impediens, ut in fluviorum alveis, vel filum, aut virga
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ſuſtentans, ut in pendulorum oſcillationibus, impedit motum
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ſecundum eam directionem, qua agunt velocitates jam conce-
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ptæ vel vires; </
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<
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<
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næ, vel plures etiam vires unius cujuſdam vis alia directione
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agentis effectum impediunt, ut ubi grave a binis obliquis pla-
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nis ſuſtinetur, quorum utrumque premit directione ipſi plano
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perpendiculari, vel ubi a pluribus filis elaſticis oblique ſitis ſu-
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ſtinetur. </
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<
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">In omnibus iſtis caſibus illi velocitatem, vel vim a-
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gnoſcunt vere reſolutam in duas, quarum utrique ſimul illa
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unica velocitas, vel vis æquivaleat, ex illis veluti partibus
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conſtituta, quarum ſi altera impediatur, debeat altera perſeve-
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rare, vel ſi impediatur utraque, ſuum utraque effectum edat
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ſeorſum. </
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<
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">At quoniam id impedimentum in mea Theoria nun-
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quam habebitur ab immediato contactu plani rigidi ſubjecti,
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nec a virga vere rigida, & </
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<
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viribus mutuis repulſivis in primo caſu, attractivis in ſecun-
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do; </
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<
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<
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traria illi, quam communis methodus eliſam dicit, quæ </
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