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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 303, page id 1066518432:0331
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DE VTREBOS ET MOTLBOS CORPORDM. LIB. II. 303
pore mobile M confecerit in linea deferenti spatium ME, et in ejus
termino acquisirerie celeritatem DE, relocitas abloluta mobilis in
aere erit BD, quacum aex mobili M allabetur, unde per hypothelin
exit MP ad EF in duplicata ratione AM ad BD; hoc eAt MP:
EF = AME: BD. POnIEUTeniM AMI, CCU MIN vel NI, prodesionan-
da relocirare initiali. Jam ductis per punctum PY InETa aITMDEOTaS
MA _E AR hyperbOIA NTIR, e l0g-nica NOK Tubrangentis NI;
in linea indetinita DCFI paralleta OO et quomodocunque inter
Darallelas OR ac OO ducta, AaL VD aequalIS InFCTCCPEA OTT in-
ter hyperbolam NFIR ee l0g. micam NOR, crirque punctum D in
scala celeritatum mobilis propriarum NIDO. Per punctum d alteri
D indetinite ricinum agantur ah parallela 0, et bf aequidistans
alteri BF; ac ductis per punctum hyperbolae II rectis 1S ec IIL,
ita uE IL =NT (Peu = Tribtansenti logmicae NCK in puncto ,
atque adeo FTL parallela sic cangenti log- miex in C, Peu elemen-
1068) ac denique tansente hyperbola LIR, adeo ut AI sIE = IR,
e LR = TI = NIS; quibus Factis exit nh = F e =DA, e FIM =da.
TI. FIrperbola pexebet, AI: AT = TNI: TII, e diridendo LR
vel TT: AT = DE vel TIS: BD Ceu TII, ex hypOchesi verO AI vel
AMI aNE MP: BD = BD: BF, ergO ex aequo L H: TEI vel BD = DE:
EF; CA VerO LR: TFT = nB vel Re: TIm (CN da, CFGO CFIZIM DF:
EF = FC: da; aCque adCO F F. Pe= DF. da. LIOC CA momentum (o-
licitationis acceleratricis PF aequatur momento celeritatis in deferenti
linea mobili MI acquisitae DF. ErgO (5. 488.) CUITVA WDO eM scala
celeritatum, e PFO scala relittentiarum, seu impultuum aeris vel
Colicirationum acceleratricium mobilis in linea deferenti, haec enim
omnia idem Agnificant.
TIT. AGatuE SR crirque ea paralICla FTL; nam TFI: IS vel YN =
TL vel AT: TR vel AI. Adcoque IS: TIS = AM: DE =IR: LR =
mh: nh rel Fe, hinc Be: DF. (5. 128.) =tEe =mB: AM; erSO Om-
nia FEe id CA TMIE = CHI: AMI, hInC AM. TME =OHI, _E AMI.
MIE, = ME seu (5. 489.) Spatium absolutum, quod mobile in aërc
transmittie, erit =CII -OII = CG; adeoque exponi debet l0ga-
richmo rationis, quam celeritas initialis mobilis TN habet ad III
vel BD in locarithimica NOI, cujus subtansens NT. Ouod Crat
Primum.
IV. NTUM. PIT. CTALTMIE =CFT: ANI =LR: TL =STT: TTT =DF.
BD, id eA, tempus quo mobile spatium suum absolutum in aëre ab-
lolric, seu motu proprio in linea deterenti Epatium ME, exponituE
xa.