Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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THEORIÆ
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Concipiamus vires ſingulas per quodvis determinatum tempuſ-
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culum ſervare directiones ſuas, & </
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<
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tempuſculi punctum materiæ quodvis erit in eo loci puncto,
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in quo eſſet, ſi ſingularum virium effectus, vel effectus velo-
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citatis ipſius illi tempuſculo debitus, haberentur cum eadem
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ſua directione, & </
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<
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">magnitudine alii poſt alios totidem tempuſ-
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culis, quot vires agunt. </
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la, quot ſunt punctorum binaria diverſa in ea omni congerie,
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& </
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<
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">præterea unum, ac primo tempuſculo habeant omnia pun-
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cta motus debitos velocitatibus illis ſuis, quas habent initio
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ipſius, ſingula ſingulos; </
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<
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">tum aſſignato quovis e ſequentibus
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tempuſculis cuivis binario, habeat binarium quodvis tempuſ-
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culo ſibi reſpondente motum debitum vi mutuæ, quæ agit in-
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ter bina ejus puncta, ceteris omnibus quieſcentibus. </
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<
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">In fine
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poſtremi tempuſculi omnia puncta materiæ erunt in hac hy-
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potheſi in iis punctis loci, in quibus revera eſſe debent in fine
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unici primi tempuſculi ex actione conjuncta virium omnium
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cum ſingulis ſingulorum velocitatibus.</
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<
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dem demon-
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ſtrationis.</
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quodcunque. </
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puncta accedent, alia recedent ab eo plano, & </
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acceſſuum punctorum omnium demptis omnibus receſſibus, ſi
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qua ſupereſt, vel vice verſa ſumma receſſuum demptis acceſ-
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ſibus, diviſa per numerum omnium punctorum, æquabitur ac-
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ceſſui perpendiculari ad idem planum, vel receſſui centri gra-
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vitatis communis; </
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<
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">cum ſumma diſtantiarum perpendicularium
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tam initio tempuſculi, quam in fine, diviſa per eundem nu-
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merum exhibeat ipſius communis centri gravitatis diſtantiam
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juxta num. </
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<
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que eadem diſtantia centri gravitatis communis ab eodem pla-
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no nunquam mutata; </
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<
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rum motus, alterius acceſſus ab alterius receſſu æquali eliditur.
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<
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">Quamobrem in fine omnium tempuſculorum ejus diſtantia
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erit eadem, & </
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læ adſuiſſent ejuſmodi velocitates, quæ habebantur initio; </
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que etiam cum omnes vires ſimul agunt, in fine illius unici
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tempuſculi habebitur diſtantia, quæ haberetur, ſi vires illæ mu-
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tuæ non egiſſent, & </
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<
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">acceſſus æquabitur ſummæ acceſſuum, qui
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haberentur ex ſolis velocitatibus, demptis receſſibus. </
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<
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conſideretur ſecundum tempuſculum in quo ſimul agant vires mu-
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tuæ, & </
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<
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<
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primum eorum, qui proveniunt a velocitatibus, quæ habeban-
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tur initio primi tempuſculi; </
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<
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">ſecundum eorum, qui proveniunt
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a velocitatibus acquiſitis actione virium durante per primum
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tempuſculum; </
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<
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">tertium eorum, qui proveniunt a novis actio-
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nibus virium mutuarum, quæ ob mutatas jam poſitiones conci-
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piantur aliis directionibus agere per totum ſecundum tempuſcu-
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lum. </
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<
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