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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CORPORUM FIRMORUM.
"/>
tegralis erit {cxx/2}-{cx
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/6r}, quæ eſt quantitas æqualis ſegmento ſphæ-
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rico F B E. </
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<
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">centrum autem gravitatis abeſt ab F E = {3/8} x, adeoque
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momentum erit = {3/16}cx
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-{3cx
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/48r}.</
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<
s
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">Poſſet hæc doctrina admodum amplificari conſiderationibus plu-
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rimorum Solidorum, quæ ex convolutis curvis diverſiſſimorum ge-
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nerum vario modo naſcuntur, aut quæ compoſita ſunt ex curvis
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ſuperficiebus varii generis; </
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<
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">quorum momenta gravitatis; </
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gravitatis; </
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<
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">aliorum ſegmentorum baſibus
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parallelorum; </
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<
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">pondera appenſa conſtantia, variabilia, mererentur
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inquiri & </
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<
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">Verum ita hæc Diſſertatio in magnum vo-
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lumen Geometricum increviſſet: </
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">Qui tamen plura ſubtilia circa
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Cohærentiam ſolidorum, infinitaque corpora æquabilis reſiſtentiæ
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per totam longitudinem cognoſcere deſiderat, adeat, quæ Cl. </
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<
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tius eleganter demonſtravit in L’ Hiſt. </
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<
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">de L’ Acad. </
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">Puteus profecto inexhauſtus reſtat; </
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">ſed qui exercitatum poſtulat
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Geometram, ne ſub ipſis pereat Aquis: </
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mæ conſiderationes plus acuminis & </
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litatis afferre, quare claudam hoc Caput generali Propoſitione â Cl. </
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Grando inventa.</
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rieti infixa horizontaliter, reſpectu proprii ponderis æqualis ſint
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Cohærentiæ.</
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<
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">Sumatur pro curva verticali complementum ordinariæ Parabolæ,
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cujus ordinatæ ad Tangentem verticis applicantur; </
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horizontali aſſumatur, aut rectangulum, aut Triangulum, aut quæ-
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libet ex infinitis Parabolis eundem verticem reſpicientibus, cujus
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ordinatæ fint, ut abſciſſarum axis poteſtates a quolibet exponen-
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te m indicatæ. </
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ut vi proprii ponderis ubique æqualiter cohæreat, ita ut ſi totum
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nequeat frangi juxta ſectionem muro inhærentem, nec ulla ejus
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portio perſectionem alteram, eidem muro parallelam, poſſit </
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