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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 291, page id 1066518432:0319
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DE VERTBRS EF NIOXZBAS CORBORUM. LIB. II. 292
NP. au momentum scilicet resistentiae totalis NP aequale NTO. IL momen-
to celeritatis decrescentis NC.
Si enIM IECTUM L. M = F FI _E NTMI ducta FueriE, CrunE MTT =NTO,
_ tm = au, _ L TT: MIII =NP: NO =kl: tm vel au, adcoque NP.
au = NO. el. Idcirco omnia decrementa aa, id est ak, Peu AN, TunE
altitudo, quam alcendens mobile ablolrere Dotest.
Ttem ml: LMI =em Peu au: NIFL vel NO. (5, F28.) taue erroomnia
mt: LMI, Peu omnia ab: LNI, hOC eA, AO: LMI aguaneur omnibus
tao, leu tempori alcensionis mobilis in spatio al vel AN. AEqui AO
CAt l09- us rationis A2F ad BF, seu rationis aequalis NP ad OP, id
CA, rationis, quam habet relistentia cotalis initio motus ad grarita-
tem. Adeoque temp. per AN = l05. (NP: OP) diril. Per L. MI vel
FTLo _C LMI In TAN = AO =109. (NP: OP). ErOO, CuM AN SIE
NO = AO, erit altitudo, quam mobile alcendens percuerere potest,
excessus, quo celeritas initialis NO excedit Factum ex temporeascen-
sionis in celeritatem terminalem FII vel L. M.
C OROLL ARTUN I.
500. Tempus, quo ascendens grare suam altitudinem AN vel OB
emetietur, eA ad tempus descentus ejusdem ex eadem alticudinc
BO, SICUE AO ad OF. Hloc per Se latis clarum. Nam tempus descen-
suS per BO vel FC (5. 498.) est DC: FFI SCU OP: FTI, _ tempus
alcentus in AN (5. 499.) cA AO: FHI. ErSO EEC.
C OR OF L A R F U M II.
5ol. Lempus quomobile spatium AN ascendendo ctas ecte
ritate initiali NO, eA ad tempus, quo idem grare in racuo ee cC.
leritate eadem initiali NO suam altitudinem, quousque pertingere
Dotest, absolreret, ut AO ad NO vel A2G; dueca scilicet per 
recta 2 Darallela FO. Nam tempus alcensionis in aere per al-
titudinem AN est, ut vidimus, AO: TII; grare rero in racuo
alcendens emetietur (5. 739.) Tuam altitudinem eo tempore, quo id
a quiete cadere incipiens accelerato motu celeritatem NVO initiali
aequalem acquirere potest; atqui (5. L5L.) hoc tempus eAt, ut cele-
ritas aequirenda NO applicata ad rectam FHI, qua graritatem uni-
formem exponit; atque adeo NO: FMI exponit dictum tempus
olcentionis mobilis in racuo. EA erso tempus ascensionis in aërc ad
TCML