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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<
s
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xml:space
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">Eſt momentum potentiæ A applicatæ vecti A b = A X A b. </
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<
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">Eſt
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momentum alterius potentiæ A, quam diſtinctionis ergo vocabo
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= a appenſæ vecti AB. </
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<
s
xml:id
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xml:space
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">= a X AB ambarum potentiarum momenta
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producere coſdem effectus ſupponitur, hoc eſt frangere ſolidum,
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adeoque ſunt æqualia: </
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<
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">unde A X A b = a X A B. </
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<
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xml:space
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">Eodem modo
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potentia C applicata vecti C b habet momentum = c X C b. </
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<
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xml:space
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">alia
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potentia applicata eidem extremo C, vocetur D, hæc agens in
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longitudinem CB. </
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<
s
xml:id
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xml:space
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">habet momentum = D X CB. </
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<
s
xml:id
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echoid-s15367
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xml:space
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">quæ ambo mo-
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menta potentiarum eoſdem effectus edentium, nempe fracturam
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ſolidi, ſunt æqualia.</
s
>
<
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</
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<
s
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xml:space
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">adeoque A X Ab = a X A B.
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/>
</
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<
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xml:space
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">& </
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<
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xml:space
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">C X Cb = D X C B. </
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<
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ducendo has quantitates æquales in ſe
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fit A C X Ab X Cb = aD X AB X CB. </
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<
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& </
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<
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">ponendo in proportione
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erit AC, aD:</
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<
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xml:space
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">: AB X CB, Ab X Cb.</
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<
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</
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<
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xml:space
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">Ergo productum potentiarum ſolidum frangentium & </
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<
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xml:space
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">ex-
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tremis A & </
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<
s
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xml:space
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">C appenſarum, ſemper erit eo majus, quo fulcrum D
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propius extremitati alterutri A aut C ponitur: </
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<
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xml:space
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">minimum vero eſt,
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poſito in medio d.</
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head
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style
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">De Cohærentia reſpectiva ſolidorum duobus fulcris
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impoſitorum.</
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<
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xml:space
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">Eſt examen de Cohærentia reſpectiva firmorum corporum, quæ
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utraque extremitate fulcro imponuntur, non exiguæ utilita-
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tis, quoniam ex trabibus utrimque ſuffultis pondera graviſſima ſæpe
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ſuſpenduntur, aut onera medio earum imponuntur; </
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<
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xml:space
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">adeoque Co-
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hærentia maxima deſideratur determinanda, ut trabs tenuis ferat
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tuto pondus maximum; </
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<
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xml:space
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">tum ut ex arbore trabes illius generis ſece-
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mus, quæ minima Ligni quantitate conſtant, & </
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<
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