Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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PARS PRIMA.
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aſymptoticum, qui nimirum ad partes BD, ſi indefinite pro-
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ducatur ultra quoſcunque limites, ſemper magis accedit ad re-
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ctam A B productam ultra quoſcunque limites, quin unquam ad
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eandem deveniat; </
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<
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">hinc vero verſus DE perpetuo recedit ab
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eadem recta, immo etiam perpetuo verſus V ab eadem rece-
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dunt arcus reliqui omnes, qum uſpiam receſſus mutetur in
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acceſſum. </
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<
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">Ad axem C'C perpetuo primum accedit, donec
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ad ipſum deveniat alicubi in E; </
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<
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ditur, & </
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<
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">ab ipſo perpetuo recedit uſque ad quandam diſtan-
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tiam F, poſt quam receſſum in acceſſum mutat, & </
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<
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">iterum
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ipſum axem ſecat in G, ac flexibus continuis contorquetur
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circa ipſum, quem pariter ſecat in punctis quamplurimis, ſed
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paucas admodum ejuſmodi ſectiones figura exhibet, uti I, L,
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N, P, R. </
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">Demum is arcus deſinit in alterum crus T p s V,
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jacens ex parte oppoſita axis reſpectu primi cruris, quod alte-
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rum crus ipſum habet axem pro aſymptoto, & </
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<
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dit ad ſenſum
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ta, ut diſtantiæ ab ipſo ſint in ratione recipro-
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ca duplicata diſtantiarum a recta B A.</
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<
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">Si ex quovis axis puncto a, b, d, erigatur uſque ad
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">Abſciſſæ expri-
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mentes diſtan-
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tias, ordinatæ
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exprinmentes
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vires.</
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curvam recta ipſi perpendicularis ag, br, db, ſegmentum axis
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Aa, Ab, Ad, dicitur abſciſſa, & </
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materiæ punctorum quorumcunque a ſe invicem; </
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<
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laris ag, br, db, dicitur ordinata, & </
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<
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vam, vel attractivam, prout jacet reſpectu axis ad partes D,
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vel oppoſitas.</
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<
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">Mutationes
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ordinatarum,
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& virium ſiis
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expreſſarum.</
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ultra quoſcunque limites, ſi abſciſſa Aa, minuatur pariter ul-
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tra quoſcunque limites; </
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<
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">quæ ſi augeatur, ut abeat in A b, or-
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dinata minuetur, & </
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<
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">abibit in br, perpetuo imminutam in ac-
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ceſſu b ad E, ubi evaneſcet: </
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<
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">tum aucta abſciſſa in A d, mu-
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tabit ordinata directionem in db, ac ex parte oppoſita auge-
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bitur prius uſque ad F, tum decreſcet per il uſque ad G, ubi
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evaneſcet, & </
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<
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">iterum mutabit directionem regreſſa in mn ad
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illam priorem, donec poſt evaneſcentiam, & </
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<
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">directionis mn ad
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tationem factam in omnibus ſectionibus I, L, N, P, R,
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fiant ordinatæ op, vs, directionis conſtantis, & </
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<
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">decreſcentes
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ad ſenſum in ratione reciproca duplicata abſciſſarum A o, A v.
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</
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<
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manifeſtum, per ejuſmodi curvam expri-
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mi eas ipſas vires, initio repulſivas, & </
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<
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tum diſtantiis auctas in infinitum, auctis imminutas, tum eva-
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neſcentes, abeuntes, mutata directione, in attractivas, ac ite-
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rum evaneſcentes, mutataſque per vices; </
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<
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ſatis magna diſtantia evadant attractivæ ad ſenſum in ratione
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reciproca duplicata diſtantiarum.</
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<
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jus legis viri-
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um a gravitate
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Newtoniana:
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ejus uſus in
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phyſica: ordo</
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ctu, & </
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fig. </
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<
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">2, apud Newtonum eſt hyperbola D V gradus tertii, ja-
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cens tota citra axem, quem nuſpiam ſecat, jacentibus </
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