Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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PARS PRIMA.
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<
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xml:space
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lam, ut & di-
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ſtantiam nul-
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lam exiſten-
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tium eſſe com-
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penetrationem.</
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<
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quædam PL deveniat in G (pertinet punctum G ad lineam
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PL, E ad AB continuatas, & </
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<
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">ſibi occurrentes ibidem), & </
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ſive pergat ultra ipſam in GM', ſive retro reſiliat per GM'.
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</
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<
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">Recta C D habebit ordinatam C L, quæ evaneſcet, ubi pun-
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cto C abeunte in E, ipſa C D abibit in EF, tum in poſi-
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tione ulteriori rectæ perpendicularis HI, vel abibit in ne-
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gativam HM, vel retro poſitiva regredietur in HM'. </
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<
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nea altera cum altera coit, & </
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<
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">punctum E alterius cum alte-
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rius puncto G congreditur, ordinata CL videtur abire in ni-
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hilum ita, ut nihilum, quemadmodum & </
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ſit limes quidam inter ſeriem ordinatarum poſitivarum CL,
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& </
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<
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">negativarum HM; </
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<
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<
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tivarum HM'. </
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<
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">Sed, ſi res altius conſideretur ad metaphy-
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ſicum conceptum reducta, in ſitu EF non habetur verum ni-
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hilum. </
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<
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">In ſitu C D, HI habetur diſtantia quædam puncto-
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rum C, L; </
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<
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compenetratio. </
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<
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">Diſtantia eſt relatio quædam binorum mo-
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dorum, quibus bina puncta exiſtunt; </
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<
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">compenetratio itidem eſt
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relatio binorum modorum, quibus ea exiſtunt, quæ compene-
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tratio eſt aliquid reale ejuſdem prorſus generis, cujus eſt di-
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ſtantia, conſtituta nimirum per binos reales exiſtendi modos.</
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nere ſeriei rea-
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lis genus eam
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diſtantiam nul-
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lam, & ali-
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quam.</
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<
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mus. </
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<
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">Bini locales exiſtendi modi infinitas numero relationes
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poſſunt conſtituere, alii alias. </
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<
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runt, & </
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ſunt, & </
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<
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">in quodam genere congruunt, quod nimirum ſint re-
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lationes ortæ a binis localibus exiſtendi modis. </
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<
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">Diverſa vero
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habent nomina ad arbitrium inſtituta, cum aliæ ex ejuſmodi
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relationibus, ut C L, dicantur diſtantiæ poſitivæ, relatio EG
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dicatur compenetratio, relationes H M dicantur diſtantiæ ne-
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gativæ. </
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<
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">Sed quoniam, ut a decem palmis diſtantiæ demptis
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5, relinquuntur 5, ita demptis aliis 5, habetur nihil (non
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quidem verum nihil, ſed nihil in ratione diſtantiæ a nobis ita
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appellatæ, cum remaneat compenetratio); </
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<
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">ablatis autem aliis
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quinque, remanent quinque palmi diſtantiæ negativæ; </
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<
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mnia realia ſunt, & </
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<
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<
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prorſus modo inter ſe differant diſtantia palmorum 10 a diſtan-
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tia palmorum 5, hæc a diſtantia nulla, ſed reali, quæ com-
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penetrationem importat, & </
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<
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">hæc a diſtantia negativa palmorum
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5. </
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<
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">Nam ex prima illa quantitate eodem modo devenitur ad
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haſce poſteriores per continuam ablationem palmorum 5. </
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<
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dem autem pacto infinitas ellipſes, ab infinitis hyperbolis uni-
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ca interjecta parabola diſcriminat, quæ quidem unica nomen
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peculiare ſortita eſt, cum illas numero infinitas, & </
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<
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cem admodum diſcrepantes unico vocabulo complectamur; </
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<
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cet altera magis oblonga ab altera minus oblonga plurimum
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itidem diverſa ſit.</
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