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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rieti ſit affixa, invenire Cobærentiam cujuslibet ſegmenti F E K ad
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baſin A B P paralleli, poſito Cuneo ſuper duobus fulcris A & </
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">& </
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<
s
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xml:space
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">Sit pondus applicatum extremo C D vocatum P, erit ejus mo-
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mentum = P X A C, quod eſt æquale Cohærentiæ baſeos cunei,
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quia ponitur pondus P eſſe maximum: </
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<
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">ſi nunc cuneus foret priſma
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ubivis æque latum, impoſitumque duobus fulcris A & </
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diumque punctum ſit H, poterit per Propoſ. </
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dus quadruplo majus, quam ante ex C D, cum cuneus parieti erat
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affixus; </
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<
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">adeoque pondus 4 P ſuſpenſum ex H, agit ex vecte H C,
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unde ejus momentum eſt = 4 P X H C. </
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cujus altitudo foret A B, eſt ad Cohærentiam ſolidi, cujus altitudo
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eſt H G, uti
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ad
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: </
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medio altitudinis H G, ſuo momento Cohærentiam exprimet
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ſegmenti H G L, erit = {4 P X H C X
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/
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}. </
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tia ſegmenti F E K ad Cohærentiam ſegmenti H G L. </
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poſita ex
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X
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ad A F X F C X
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. </
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tia ſegmenti F E K erit = {4 P X
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X
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/
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X A F X F C}.</
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drangula, rectangula, & </
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pondere maximo appenſo extremitati C pyramidis affix æ parieti,
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invenire Cohærentiam cujuslibet ſegmenti G I K L paralleli ad ba-
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ſin A B D E poſita pyramide ſuper duobus fulcris in D & </
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tere D E C horizontali.</
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cum baſis A B D E pyramidis applicabatur parieti = P. </
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momentum = P X D C, quod eſt æquale Cohærentiæ ad baſin pyra-
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midis, impoſita pyramide duobus fulcris in D & </
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dimidium ipſius F C, adeoque pondus appenſum ad G foret 4 P, ſi
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ſolidum fuiſſet priſma ubivis æque altum & </
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