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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
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252 DF VEREDUS ET MIOTFDUS CORDORUM. LIB. II.
Sin vero coni vertex Turlum conrertus eset, ut in A3. 24. co casu
praecedentia cheoremata praeberent PV. AR. = 3 L. BM pro calu a
quilibrii inter precturam externam aeris ec internam Mercurii, at.
que adeo pro hoc aequilibrio obtinendo nunc sufticeret altitudo AH.
60. digitorum. Atque hae determinationes ad amussim consentiunt
cum iis, quae Ccleb. Jac. Bernoullius super hac re prodidit in Actis
Frudit. Lipl. 1686. ex 1687. Occasione alicujus perpetui Mobilis in
Norellis Rcipublicae liceraria D. Baelii 1685. Provolci, quod con-
Sictebat in quadam Follis specic triangularis, circa axem horiz ontalem
alterutrius alxe medio aftixum mobilis, Mercurio modo implendi, mo.
doque etiam in situm rectum deducti iterum aliquousque deplendiec.
Flujus machinae successum irritum fore ex principiis hydrostaticis et
rectis natura ostendit eleganter modo laudatus Bernoullius. Papi-
nus vero, etsi successum pro dubio habuisse ridetur atque imperfecta
pressionum aestimatione impostibilitatem motus ejusurcunque olten-
derit, nihilominus tamen Bernoullianam machinae discustionem clu.
di posse existimarie, motum parallelum alis tribuendo, quo rectis
rationem, in qua Bernoullii impusnatio Fundata erat, cellaturam el-
se contidebat perperam. lia rero, quae super praedictam machinam
in utram que partem asitata fuere, lesi possunt in Actis L ipL. Tupra
CAFaFIS.
C A PVF TTI
De Aquilibrio Corporum solidorum in Fluidis quibuscunque
290.
demersorum, vel isdem Fluidis innatantium.
PROPOSITIOZIL TIEOREMA.
Nne puidum heteroceneum corpus quodcunque solidum in ipso
demersum, vel eideminnatans, tanta vi in altum pellere cona-
tur, quantum est pondus massae liguoris cujusdam homocenei sub volumi
ne solidi analosi corpori demerso ejusve parti immersae, cujus densitas
aequet mediam densitatem Ruidi heterocenei, secundum directionem Aui-
di supersiciei normalem per centrum eravitatis solidi analoei transeun
tem.
5. 25. Generale istud cheorema aliud non cA quam 5. 83. In CONCFCtO
Tumtus; idcirco relumendo schema dicti paragraphi ponendoque
lincam OTO, quae illic dicebatus scala potentiarum solido patienti
appli.