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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 159, page id 1066518432:0187
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DE VERTBOS ET MIOTIBOS CORBOROH. L. 1B. II. 159
dignatus est Illustris Lcibnitius Tom. I. Miscellaneorum Berolinen-
sum pa5. 127. ex quibus omnibus abunde liquet, spem abjiciendam
esse omnem, Fore ut narisatio aërea Fortunato aliquando crentu
sulcipi queat, in quam egregius ille de Lanis nos erisere roluisseri-
detur.
PROPOSTTIORIV. PROBLEMA.
300. Data specisica eravitate bacilli teretis ex cracilis AB ex liquo-
ris cujusque homoeenei, determinare quousque bacillus extremitate sua t16. 6d.
A e filo suspensus, ita ut altera extremitate B libere pendeat, liquori de-
beat immerei.
Ponatur praricatem (pecikrcam bacilli AB se habere ad gravita-
tem speciticam liguoris F NVF uc BD ad bacilli longitudinem AB,
atque bacilli partem BC liquori immersi, quaeritur magnitudo ipsius
AC vel BC ex datis AB e DB.
Analysis Greometrica. Per 5. 293. bacillus liquori immerfususque ad
C Derpendiculariter Curtum agitur ri aequali ponderi liquoris sub
volumine BC partis bacilliliguori immerlae juxta directionem IR per
centrum graritacis, seu per medium I ejusdem BC cranscuntem li-
quorisque superticiei FF normalem; adeoque si slo TKP trochleam
R amplectens appensum fuerit pondus P, aequale graritatimasse li-
quidae BC, hoc pondus P in directione RP descendere nItenS CAn-
dem rim in bacillum juxta directionem IIE exeret ac Auidum R NF
bacillum actollere connitens; ipse vero bacillus provrio luo ponde
re descendere conatur juxta directionem O superticici liquoris R P
icidem perpendicularem ex per centrum graritatis bacilli, quod est
in ejus medio Otranscuntem; idcirco liquor baculum attollere co-
nans e graritas eundem eRectum praectabunt, quem preectarent pon-
dera P ex 0 quorum hoc bacilli graritatem absolutam, illud rero,
ut jam dictum, pondus liquoris sub rolumine BC designant, lincae
inflexili et graritatis experti AB in directionibus IH et OO inter
Se paralletis ac superficiei liquoris EF normalibus, applicata; un-
de, cum bacillus liquori aliquousque immertus (sccundum hypothe-
Sin) iis statu manenti, leu in sequilibrio, consiltat, ex principio re-
etis C (5. 55.) P. S =G. lV, demissascilicet ex A normali AV
supeC EF, vel P: O = T Y: SV = 2OA: 2TA (Teu producta BA in
LS UE AM aequalis I CHL) =BA: BMI. Nam, quia TA est mediu
ncha sacet  e C A vel AM, ejus dupla Peu 2IA aequabi-
TEEF