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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vitate & </
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">pondere, ſit ſummum quod ferri poſſit, alterum momen-
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tum in breviori cono quod ſummum erit, debebit eſſe illi æquale
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unde {acbb/24}+qb = {acdd/24}+dx.
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</
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<
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xml:space
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">ex quibus eruitur x = {acbb/24d} + {qb/d} - {acd/24}.</
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<
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">Datis duobus Conis A B G, C D K gravibus,
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ejusdem materiæ, & </
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<
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xml:space
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">æque altis, ſed diverſarum baſium, appenſo-
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que pondere maximo Qex vertice Coni minoris, invenire pondus
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maximum P, quod geſtari poſſit ex vertice G Coni craſſioris.</
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<
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">Vocetur radius baſeos A B, a. </
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<
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">peripheria, p. </
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<
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</
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<
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xml:space
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">pondus P quæſitum ſit = x. </
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<
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xml:space
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">Radius baſeos D C = r. </
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<
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">ejus circumferentia
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{pr/a}. </
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<
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xml:space
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">longitudo K L = d. </
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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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">Erit ſoliditas coni C D K = {dprr/6a}. </
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<
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xml:space
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">ejuſque momentum ex gravi-
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tate = {ddprr/24a}. </
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<
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xml:space
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">momentum ponderis Q =dq. </
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<
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A B G = {abp/6} ejusque momentum ex gravitate = {abbp/24}. </
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<
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tum ponderis P = bx. </
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Cono ad Cohærentias ſuarum baſium habere eandem rationem, qua-
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re ſtabunt quantitates in hac proportione
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{ddprr/24a} + dq. </
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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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">unde eruitur X = {aaddp/24br} + {a
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dq/br
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} - {abp/24}.</
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<
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bus, diverſæ longitudinis & </
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