Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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THEORIÆ
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etiam poſſet, ubi ſemel deventum ſit alicubi, ut in Q, ad di-
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rectionem parallelam plano, debere deinceps deſcribi arcum
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QD prorſus æqualem, & </
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poſitum reſpectu plani CO, ut ejus inclinationes ad ipſum
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planum in diſtantiis æqualibus ab eo, & </
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ſint prorſus æquales; </
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">quam ob cauſam tangentes BN, DP,
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quæ ſunt quaſi continuationes rectarum AB, MD, angulos
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faciunt ANC, MPO æquales, qui deinde habentur pro an-
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gulis incidentiæ, & </
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<
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num ſit aſpe-
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rum: applica-
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tio ad reflexio-
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nem lucis.</
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per contingit in Natura; </
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<
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">æqualitas illa virium utique non ha-
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betur. </
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">At ſi ſcabrities ſit ſatis exigua reſpectu ejus diſtantiæ,
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ad quam vires ſenſibiles protenduntur; </
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<
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erit perquam exigua, & </
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<
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<
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les erunt ad ſenſum. </
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<
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">Si enim eo intervallo concipiatur ſphæ-
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ra VRTS habens centrum in puncto mobili, cujus ſegmen-
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tum RTS jaceat ultra planum; </
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<
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">agent omnia puncta conſtitu-
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ta intra illud ſegmentum, adeoque monticuli prominentes ſa-
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tis exigui reſpectu totius ejus maſſæ, ſatis exiguam inæqualita-
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tem poterunt inducere; </
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">& </
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<
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gulorum incidentiæ, & </
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itri terreſtres montes in globo oblique projecto, & </
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rante, ut a reſiſtentia aeris non multum patiatur, ſenſibiliter
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non turbant parabolicum motum ipſius, in quo bina crura ad
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idem horizontale planum eandem ad ſenſum inclinationem ha-
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bent. </
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<
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">Secus accideret, ſi illi monticuli ingentes eſſent etiam
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reſpectu ejuſdem ſphæræ. </
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<
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perpenderit, videbit ſane, & </
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<
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ſilire debere cum angulo reflexionis æquali ad ſenſum angulo
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incidentiæ licet & </
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quat ſulcos, & </
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diſtantiæ, ad quam extenditur ſenſibilis actio vitri in lucem; </
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reſpectu ſuperficierum, quæ ad ſenſum ſcabræ ſunt, debere i-
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pſam lucem irregulariter diſpergi quaqua verſus.</
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<
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<
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">Pariter ubi globus non elaſticus deveniat per AB in ea-
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pactu obliquo
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globi
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mollis in
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planum: velo-
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citas amiſſa,
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quæ manet il-
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læſa in curva-
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tura continua.</
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dem illa fig. </
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<
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<
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BQ, non deſcribet utique rectam lineam accurate, ſed ſer-
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pet, & </
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<
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<
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locitas vero mutabitur ita; </
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<
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">ut ſit velocitas prior AB ad po-
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ſteriorem BI, ut radius ad coſinum inclinationis OBI rectæ
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BO ad planum CD, ac ipſa velocitas prior ad velocitatum dif-
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ferentiam, ſive ad partem velocitatis amiſſam, quam exprimit
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IQ determinata ab arcu OQ habente centrum in B, erit ut ra-
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dius ad ſinum verſum ipſius inclinationis. </
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<
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minuto in infinitum angulo, ſinus verſus decreſcit in infinitum
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etiam reſpectu ipſius arcus, adeoque ſumma omnium ſinuum ver-
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ſorum pertinentium ad omnes inflexiones infiniteſimas tempore
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finito factas adhuc in infinitum decreſcit; </
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