Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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piantur omnes diſtantiæ perpendiculares omnium maſſarum A
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ab ejuſmodi plano, æquales nimirum ſuis a Q: </
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drata ducantur in ſuas maſſas, & </
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<
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per ſummam maſſarum, tum in recta G Q producta capia-
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tur G P æqualis; </
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<
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tas puncti P revolventis circa axem inventum in circulo, cu-
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jus radius G P, erit æqualis celeritati inventæ centri gravi-
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tatis, directio autem motus contraria eidem. </
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directio, & </
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tis.</
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<
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">Demonſtratio.</
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movebitur ſyſtema circa axem immotum tranſeuntem per P,
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qui motus regreſſu ſacto a conſtructione tradita ad inventio-
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nem præmiſſam centri percuſſionis ſiſteretur impreſſione con-
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traria, & </
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<
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quiſitiones ul-
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teriores motu
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impreſſo ſyſte-
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mati moto.</
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vi externa impreſſus ſyſtemati quieſcenti. </
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habuerit aliquem motum progreſſivum, & </
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motus externa vi inductus juxta corollarium ipſum compo-
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nendus erit cum priore, quod, quo pacto fieri debeat, hic
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non inquiram, ubi centrum percuſſionis perſequor tantummo-
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do. </
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ope patet, aperiri aditum ad inquirendas etiam mutationes,
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quæ ab inæquali actione Solis, & </
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formam extantes inducuntur in diurnum motum, adeoque ad
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definiendam ex genuinis principiis præceſſionem æquinoctio-
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rum, & </
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ctationem requirit.</
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<
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liam notionem
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ejus centri.</
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centri percuſſionis, nihilo minus, imo etiam magis aptam ipſi
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nomini. </
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tinens hanc i-
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deam.</
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ca axem datum externa vi immotum incurrat in dato ſuo puncto
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in maſſam datam, delatam velocitate data in directione motus
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puncti ejuſdem, quam maſſam debeat abripere ſecum; </
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velocitas, quam ei maſſœ imprimet, & </
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poſt impactum.</
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<
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mulæ continen-
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tes motum maſ-
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ſæ in quam in-
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cidit, & ſuum
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reliquum.</
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pendiculare axi rotationis tranſiens per centrum gravitatis G,
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in quo plano punctum converſionis ſit P, maſſa autem in re-
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cta P G in Q. </
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">Velocitas puncti cujuſvis ſyſtematis, quod di-
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ſtet ab axe per intervallum = 1, ante incurſum ſit = a, velo-
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citas ab eodem amiſſa ſit = x, adeoque velocitas poſt impa-
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ctum = a - x, velocitas autem maſſæ Q ante impactum ſit
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= P Q x b. </
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<
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a maſſa A, quæ erit A P x x. </
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<
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P Q ad velocitatem reſiduam in puncto ſyſtematis Q, quæ
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fiet P Q x (a - x), & </
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