Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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Cd. </
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centra gravitatum, eſt ex actione, & </
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<
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maſſæ B ad C: </
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<
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ſive CBD: </
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<
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ſin GHA, ſive BAD: </
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<
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quibus habentur maſſæ, componunt rationem B x A x C ad
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C x B x A, quæ eſt 1 ad 1, & </
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<
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CAD ad ſin CBD x ſin BAD. </
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ponantur AD, & </
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<
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& </
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ipſis æquales ex Trigonometria, & </
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<
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">habebitur ratio ſin ACD x
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CD ad ſin BCD x CD, ſive ſin ACD, vel CTV, qui i-
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pſi æquatur ob VT, CA parallelas, ad ſin BCD, ſive VCT,
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nimirum ratio ejuſdem illius CV ad VT. </
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<
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tur Cd, CVTd eſt parallelogrammum, & </
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<
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C, habet directionem itidem tranſeuntem per D.</
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<
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">Secunda pars patet ex iis, quæ demonſtrata ſunt de directio-
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ne duarum virium, ubi tertia triangulum ingreditur, & </
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ſus, qui haberi poſſunt, exhibentur totidem figuris. </
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& </
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intra triangulum, in 61, & </
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ad partes baſi oppoſitas, ac in ſingulorum binariorum priore vis
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CT tendit verſus baſim, in poſteriore ad partes ipſi oppoſitas.
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<
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mationis locorum geometricorum, quas diligenter expoſui, & </
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fuſius perſecutus ſum in diſſertatione adjecta meis Sectionum Co-
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nicarum Elementis, Elementorum tomo 3.</
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<
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pro caſu dire-
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ctionum para
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l-
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lelarum.</
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ctum D abit in infinitum, & </
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<
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binis etiam ipſa juxta eaſdem leges; </
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<
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di directionibus fuerint parallelæ inter ſe; </
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tertia: </
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<
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">ac illa, quæ jacet inter directiones virium tranſeuntes per re-
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liquas binas, quæ idcirco in eo caſu appellari poteſt media, babebit
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directionem oppoſitam directionibus reliquarum conformibus inter ſe.</
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<
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tertiæ directio-
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nis datæ datis
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binis.</
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per & </
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& </
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minabit recta ad idem punctum ducta: </
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<
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lam conditionem, ut tam binæ, quæ triangulum non ingredian-
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tur, quam quæ ingrediantur, vel ſimul tendant ad illud pun-
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ctum, vel ſimul ad partes ipſi contrarias.</
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<
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cipuum de ma-
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gnitudine, quod
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toti Operi oc-
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caſionem dedit.</
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rum virium magnitudines inter ſe comparabimus, ubi ſtatim
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occurret elegantiſſimum illud theorema, de quo mentionem
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feci num 225: </
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maſſis in ſe mutuo agentibus ſunt in ratione compoſita ex </
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