Musschenbroek, Petrus van
,
Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae
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INTRODUCTIO AD COHÆRENTIAM
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peripheria circuli D G E = {bc/r}. </
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xml:space
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ſoliditas = {acr/4} per Prop. </
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">& </
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<
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">quia centrum gravitatis eſt ad {1/3} F B a puncto F, in axe F B, per
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Prop. </
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<
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dis parabolicæ A B C = {aacr/12}. </
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<
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xml:space
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">ſed ſolidum D B E eſt = {ab
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c/4r
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} cujus
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momentum ex gravitate eſt = {aab
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c/12r
<
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}. </
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<
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">datur in Propoſitione. </
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<
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{aab
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c/12r
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}. </
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">{aacr/12}:</
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b
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/r
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}a
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.</
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<
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extremos per ſe, proveniuntque producta æqualia, nempe {a
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b
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c.</
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">/12r
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}.</
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dum Parabolicarum inter ſe, uti momenta gravitatis ipſarum Co-
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noidum. </
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<
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ad b
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, quarum qua-
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drata ſunt r
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, b
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. </
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<
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">eſt vero {aab
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c/12r
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} {aacr/12}:</
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<
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, r
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. </
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<
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catis extremis mediisque terminis per ſe, habentur producta utrim-
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que æqualia, nempe{aab
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cr/12}</
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bus D E F, A B C, ejusdem altitudinis ſed diverſarum baſium, at-
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que pondere dato Q appenſo ex vertice F Conoidis gracilioris,
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invenire pondus P appendendum ex vertice C Conoidis craſſioris,
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ita ut momenta propriarum gravitatum inconoidibus, & </
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rum appenſorum earum verticibus, ſint ad cohærentias baſium in
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eadem proportione.</
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