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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<
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gitudo E H, l. </
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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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">Erit cylindrus A B C D = {1/2} b c r. </
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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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</
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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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">ut ſoliditas cylindri E F G H habeatur, pone
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r.</
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<
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xml:space
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xml:space
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<
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xml:space
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">/r} peripheria baſeos, unde {1/2} {c x x/r} = baſi, ſoliditas = {1/2} {c x x l.</
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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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">momentum ex gravitate = {1/4} {c l l x x.</
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<
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xml:space
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">/r} Cohærentia baſeos E F uti
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8 x
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. </
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<
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xml:space
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">quarepoſtulatur proportio 8 x
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, {1/4} {c l l x x/r}:</
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<
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, {1/4} b b c r. </
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<
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xml:space
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<
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unde x = {l l r/b b}</
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<
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<
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">pondere I, quo-
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rum momenta ex gravitate ad Cohærentiam habeant quamcunque
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rationem, invenire alium cylindrum datæ longitudinis, in quo mo-
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mentum gravitatis ad ſuam Cohærentiam habeat eandem rationem.</
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</
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<
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<
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xml:space
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<
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xml:space
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<
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xml:space
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<
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xml:space
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dus I, p. </
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<
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xml:space
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ponderis I = {1/4} b b c r + p b. </
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<
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xml:space
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. </
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<
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</
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<
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xml:space
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<
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xml:space
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<
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xml:space
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<
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xml:space
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liditas = {1/2} {c d x x.</
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<
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xml:space
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">/r} unde momentum eſt = {1/4} {c d d x x.</
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<
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<
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tia ut 8 x
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. </
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<
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xml:space
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">hinc ſtabunt quantitates ordinatæ in proportionem
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{1/4} {c d d x x,/r} 8 x
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:</
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<
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xml:space
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">: {1/4} b b c r + b p. </
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<
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. </
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<
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<
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unde x ={{1/4} c d d r r.</
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<
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xml:space
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