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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 188, page id 1066518432:0216
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188 DE VERLBOS EF MIOTIBOS GORPORDM. LIB. II.
habent antlia es recipiens simul, ad cavitatem solius recipientis, in
dicabit quotiens quaesitum acitationum numerum n. Oui crat inve
nienduS.
FTujus regulae a Celeb. Tac. Bernoullio olim sine demonstratione
Dublicatae analvsn ex calculo exponentialium pecitam jam anno ni
Fallor 1693. promulgarit CI. Varignon in Actis ACad. RCg. Scien.
tiarum, camque postea multis accessionibus auctam in Actis ejusdem
Academix anni 1705. denuo cum publico communicaric.
C OR OE L A R E U M I.
336. Cum log. us cujusque Fractionis sit differentia log- orum
numeratoris e denominatoris, erit log-uS L: P = l08. L = l09.
P, ec 108. 9: P = 108. 9 -108. P. adcoque n (= 108. (L: P): 108.
Q: P) = (108. Z, - 108. P): (108. 9- 108. P)
FLInC si O: P = 2: F, _ L: P = 6: F, exie 108. Z - 108. P =0.
7781512, et 105. - 108. P = 0. 3010300, adcoguen =0. 7781512:
0. 3010300 =23 Circiter.
Porro ope canonis superioris ex tribus quantitatibus Z: P; 9: P
et n, datis quomodocunque duabus, tertia semper per l05-05 ha-
beri potest. Sed hisce non racat diutius immorari.
C OR OL L A R Y U M TI.
337. Duanquam hoc Problema tantum de raretactione aëris agit,
canon tamen, in quem circa Anem 5. 335. incidimus, etiam casibus
illis applicari porest, quibus aër recipientis non quidem rareta-
ciendus sed condentandus eAt. VF sI quaeratur, quoc emboli pulsibus
aer recipientis in naturali vel quocunque alio satu constitutus, cujus
densitas ad densitatem aeris in naturali satu data (I, ad gradum den-
Sicatis X reduci possit. Fiat ut X ad P ita P ad Z, _ HXC Z ex.
DOnCE (5. 20.) raritatem aeris cujus densitas est Z, quandoquidem
P repraesentat densitatem ex raritarem aeris in satu naturali. Jam
datis Q: P, X Z: P invenietur per canonem citatum numerus quae si-
tusn pultuum emboli, quibus aeri rarICaS Z = P~: X SCU denSItaS
X inducitur. Verum hoc casu, quo aer recipienti eA intrudendus,
magnitudo Z. est intra iplam P, atque adeo l0g-us rationis Z: P
erit nesatirus, hinc etiam ralor numeri n negatirus existet, quo
tamen aliud non indicatur, nili emboli icus in catu condenlationis
COr.