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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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29ODE VLRIBVS ET MOTIBOS CORPORDM. LIB. II.
repraelentat craritatem absolutam, e (secundum hrpothesin) DF
vel FC relistentiam medii, relidua CHI exponet omnino solicita-
tionem acceleratricem mobilis, ut adeo aliud non restet Faciendum,
quam (5. 484.) ue probetur hanc constructionem praebere CFI. d6 =
DE. eh, Ceu momentum solicitationis acceleratricis CFL aequari momento.
celeritatis DE, ductis de parallela DC, e dC Parallela BHI, adeo
UE de sic elementum lineae FC, ec gh elementum lincae DF. Vbi
obiter notandum, punctum C in fisura per accidens caneum repe-
riri in communi interlectione rectae HIP, aequidistantis FO per da-
cum politione punctum. II ductx ec l0z.micxe BC, cum dictum
punctum C quodlibet aliud l0g- micae punctum eNe pONIL.
Demonstr. FIaE OT = FFI, cricque III = FO =DE, ∞ act a FI
erit parallela tangenti log-micae in C, atque adeo Fi erit parallela
ec requalis clemento logarichmicae Cc, et de =hi. Tam, quia GHI:
TIT vel DE, =CB: hi Ccu cd erit C5FI. de =DF. SB. Ouod erAE
Unum.
POrrO si vel nc: OT = Ch: OTT (5. 228.) = tdc, ergo omnia nc: CI,
Peu DC: CT = tempori descentus in spatio BC. AEqui DC cA l09- 11S
rationis FB ad CTF scu TIF ad GFI, hoc eA, rationis, quam habet
relocitas terminalis FII ad Colicitationem accelerarricem CrFI. Nam,
quia DE exponit (secundum hypothesin) relocitatem mobiliacqui
litam, ex quia haec fC F FP, ubi DC Facta Fuerie insinica, manifectum
est celeritatem terminalem per subtansentem FHI exponendam ese,
qua etiam graritas absoluta mobilis repraesentatur. Idcirco tempus
descentus per Spatium FC cst 108-us rationis FHI: CTI dirilus Per
subtansentem LiFI. Adeoque DC est Factum ex tempore descensus
DeF F. C in velocitatem terminalem FH, ex spatium FC eAt excel-
Tus facti modo nominati, supra rectam DE, qua celeritatem acqui-
litam exponit. Oux omnia crant demonstranda.
499. Ponatur lecundo mobilo alcendere in linea verticali al vel
AN celeritate initiali NVO, ostendendum restat, altirudtinem, 2d
quam mobile pertingere possit, eNe ak vel AN intercepcam inter
tansentem BNr ex l0g.micam BTA, tempusque, quo alcitudo ista
conticiatur, eNe AO: FII. Linca al alteri AN indetinite vicina
Donitur, unde ducta Aa Parallela BNY, lincola au erit decrementum
spatii al versus B continue decrescentis cum relocitate NO. Initio
mocusrelistentia aëris (secundum hypothesin) est NVO, d graritas FII
vel OP corpori ascendenti etiam opponitur, adeoque (5. 48T.) re-
sistentia totalis est HIP. Propterea ostendendum, constanter esse