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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 60, page id 1066518432:0088
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1 31.
60 DE VTREBUS EF MLOYIBUS GORBORUN. L 1B. L.
laplu accelerato per spatium AF, in puncto P, acquirere posset.
Nam quia (5. 135.) seneraliter est IIC3 = 2I126528 erunt ctiam
nunc omnia FTC aqualia omnibus 21126528, verum hoc casuom.
nia FIC sunt ca, quae Coli trapezio YZGIL inscripta lunt, ducta
Scilicet per V recta VY axi AD parallela, quia celeritas, qua mo-
bile M ex currae puncto Omoreri incipit, non cst nulla; sed (secun.
dum hypothesin) aequalis PV scu AX vel XP, acque adeo nunC
omnia 1IG aequantur trapezio YXOHI, e candem ob rationem
omnia 2112628 aequantur trapez io 2 Y2 X2C,2FI, quoniam mobile
A casum suum in puncto P cum celeritate 2222Y (Eccundum hrpo-
chesIn) aequali XY vel AX incipit; aequantur isitur hiec trapezia
YXOTI _C 2Y2X2G2II; rerum quia (sccundum hypothelin) cele-
ritas in P eadem es cum celeritate in O, ex illa tanta cs quanta
mobili ex A in P cadenti illic in P acquiri potest, sequitur trian-
sula AXY X 2A2X2Y itidem aequalia esse, et addendo hisce ae-
qualibus triangulis trapezia illa aequalia YXOHI, e 2Y2X26211,
tient etiam triangula AOTI _ 2A2C2TI equalia; unde cum cadem
ex Cmilia Cint, necessum cA, uE latera AC dC 2R2C XGUentUF, at-
que adeo liquet celeritates in N a E acquisitas mobilibus ex pun-
etis Oe P, a centro D equidistantibus cum celeritate PV vel AC
casum incipientibus, aequales ese cum inter s0, tum celcritati R P
in E acquilitae (5. 136.) Post casum a quiete in A, per spacium AF,
qux potentia aequetur duplo arcae AAZBF.
C O R OL L A R Y U M IF.
238. Llopucica, si mobile quoddam a secundum quamlibet di-
rectionem datam AR impullum celeritate ca, quam idem mobile
Epatium TIA a quiete in HI perlabens acquireret in A, e Colicita-
tionibus ordinatis currae ErBb exprestis ad centrum D continue
ipsum ursentibus curram ANn in racuo delcribat, celeritas ejus
in quolibet currae projectionis puncto N ea crit, quam COrDUS CX
TI a quiece cadere incipiens in linea recta TID accclerato suo
motu aequirere posset in puncto E, cum altero in curra N aequali-
ter a centro D dictanti.
C OR OL L A R L U N TTI.
239. Si corpora ex cutra c iccle punctis n de e a CCnETO D a-
Gueabuo cclerale Mttali ef, quam pon delcentum Der cu
ran
F18, 32.