Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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ſummæ, vel differentiæ binarum ordinatarum pertinentium ad
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eas abſciſſas, prout fuerint ejuſdem directionis, vel contrariæ, & </
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eam ducere ex parte attractiva, vel repulſiva, prout ambæ or-
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dinatæ figuræ 1, vel earum major, attractiva fuerit, vel repul-
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ſiva. </
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<
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aſymptoticum D E, citra ipſam autem crus itidem aſymptoti-
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cum d g attractivum reſpectu A, cui attractivum, ſed directio-
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nis mutatæ reſpectu CC', ut in fig. </
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<
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tes oppoſitas A debet eſſe aliud g' d', habens aſymptotum c' b'
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tranſeuntem per X; </
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<
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">ac utrumque crus debet continuari uſque ad
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A, ubi curva ſecabit axem. </
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<
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">Hoc poſtremum patet ex eo, quod
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vires oppoſitæ in A debeant elidi; </
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ſi a ſit prope Y, & </
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<
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Y creſcat in infinitum, vi, quæ provenit ab X, manente fi-
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nita; </
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<
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pulſiva reſpectu Y, & </
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<
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nutis in infinitum diſtantiis ab Y augebitur in infinitum. </
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re ordinata a g in acceſſu ad b Y c creſcet in infinitum; </
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conſequitur, arcum g d fore aſymptoticum reſpectu Y c; </
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dem erit ratio pro a' g', & </
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<
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prietates: diſcri-
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mina pro muta-
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ta diſtantia pu
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-
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ctorum: collatio
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cum curva ca-
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ſus alterius.</
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b Y c, b' X c', ſive cruribus d g, d' g' ſecare alicubi axem, ut exhibet
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figura 26; </
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ſatis major, quam AE figuræ 1, ut ab Y habeatur alicubi citra
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A attractio, & </
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repulſio ab Y. </
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figurarum patebit, quantum diſcrimen inducat in legem virium,
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vel curvam, ſola diſtantia punctorum X, Y. </
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gura derivata eſt a figura 1, & </
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qualis AE figuræ 1, in fig. </
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tio uſque adeo mutavit figuræ genitæ ductum ; </
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is, atque aliis diſtantiis punctorum X, Y, aliæ, atque aliæ cur-
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v æ novæ provenirent, quæ inter ſe collatæ, & </
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<
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habentur in recta CAC' perpendiculari ad XAY, uti eſt in
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fig. </
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<
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<
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ctas mente concipi poſſunt, ſatis confirmant id, quod ſupra in-
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nui de tanta multitudine, & </
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<
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ſola etiam duorum punctorum agentium in tertium diſpoſitio-
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ne diverſa; </
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curvarum delineatione, quanta ſit ubique conformitas in arcu
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illo attractivo T p V, ubique conjuncta cum tanto diſcrimine in
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arcu ſe circa axem contorquente.</
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<
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hujus caſus no-
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tatu digniſſima.</
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maxime notatu dignum, & </
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rius. </
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que arcus conſequenter accepti alicubi GHI, IKL, LMN,
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NO P, PQR ſint æquales prorſus inter ſe, ac ſimiles. </
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29. 30.</
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nantur autem bina puncta B', B hinc, & </
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