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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 160, page id 1066518432:0188
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16O DF V FREBUS EF MIOTTDUS CORPORUM. L. XB. II.
tIT agErCTatO extremarum BA ex C A vel AM, hoc est rectae BM;
_ dupla ipsius OA est BA. Verum pondus P est ad pondus 
5. 33.) UE Factum ex illius rolumine BC in graricatem ejus speci.
ficam AB ad Factum ex volumine alterius ) seu AB in densitatem
seu graritatem specificam ejusdem BD, hoc eAt P: O = BC. BA: AB.
BD = BC: BD. AEqui paulo ante habuimus P: O = BA: BM, CrOO
inde nalCitur BA: BMI = BC: BD; ec BM. BC =BA. BD. Flinc sI
centro Oex interrallo OB vel OA descriptus Pemicirculus BN A,
atque per punctum in ejus diametro datum D perpendicularis dia-
MCtrO DN ducta sit semicirculum DNA SCCanS in N, exIt BNI
(= BA. BD) =BMI. BC, atque adeo recta BN tanget semicireu.
Ium CNM CentrO A e interrallo AC vel AM descriptum in pun
eto NV, quod proinde communis erit intersectio lemicirculorum
BND _ CNM; atque adeo aequales existent AC _ AN; atqui
haec ANY eAt media proportionalis inter datas BA _ D A, crgoctiam
AC, atque adeo haeC AC data est. Ouod crat inreniendum.
C O R OL L A R Y U H.
30T. AdcOqu CIM CX Parte bacilli BC cuilibet liquori immer.
Pa et bacilli ipius longicudine AB, semper innocelcet ratio gravitatis
Specificae liquoris ad graritatem speciticam bacilli; etenim ad longitu.
dinem bacilli BA ejusque partem CA extra liquorem extantem dun-
taxat lumenda cst tertia proportionalis DA, eritque BA ad BD Cemper
ut graritas specitica liquoris ad gravitatem speciticam bacilli liquori
aliquousque immerti. Atque adeo portiones direrlae BD, quae re
Cultant à diverlitate liquorum, quibus bacillus succestire immergi
Potest, erunt in reciproca ratione gravitatum speciticarum iplorum
liquorum. Liquet ergo talem bacillum aptum extribere instrumen.
cum hygrostathmicum (Callis Pese-ligueur dici Colitum) quo liquo.
rum speciscx graritates examinari queant. Oua ratione bacillus
diridi debeat, ut ex partibus ejus immersis graritates liquorum di
enolci queant, Facile collisitur ex hoc corollario; adeoque eidem
ulterius explicandae Cuperledco.
Elactenus aliquor exemplis illustrarimus hydroctaticae regulam
indicantem quousque corpora Colida liguidis immersi debeant, ut
cum hisce liquidis aequilibrium Faciant; restat adhuc unicum exem.
plum adducendum, quo alia hydrostaticae regula, situm corporum
Colidorum in Duidis consistentium respiciens, illustretur, hunc in
finer