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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 314, page id 1066518432:0342
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ZI DE VTRTBUS ET HIOTTBUS CORBOKUM. LID. II.
est ergO CC -Nn: Og == IMI. AM: EF. IM. AM = AMI: FF, eE Per.
mutando C0 -Nn: AM =Og: FF =FO: AO =FEC, ergoomnia HKC
ICU tempUS Per MIE = (MC = L. N): ANI.
IV. Ergo alsignato hoc tempore, linea deferens MS delcribet in
aere cum velOCIEaTe AMI motu suo aequabili spacium MC =LV,
motu rero proprio in hac deferente corpus simul describit spatium
TM
NE =MC -
an. LN, adeoque spacium absolutum, quod mobile in
aere absolret, erit excessus spatii motu communi ex aequabili linexe
deterentis supra motum ilti contrarium mobilisque in deterenti pro-
IM
. LNV =IMI. LN: AMI. TIOC Cr-
80 spatium absolutum exponitur tertia proportionali ad celeritatem
initialem AM, tenaciratem Auidi OM vel TA, acque ad l0g. mum
rationis, quam VL e TIN, id cst, celeritates inirialis et actualis,
mobilis tenacitate auctx, ad inricem habent. Oux omnia erant de-
monstranda.
G OR OZ L A R FU M Y.
542. Appatc sicir in praesenti resistentiarum hrpothesi mobile
non solum non posse in infinitum excurrere, sed ne quidem posse
terminum finiti spatii SMI. LV: AMI tempore quantum libet magno
attingere. Nam cranelcente OM, ipta MC tE infinita, CTM AF
OM, adeoque L. N mutatuE tunC in LY, adco uE MC =L.N: AM
abeat in MC -LX: AMI SCL IN MIC: AM, quia Anica L Y pee in-
finita MIC cranescit. Idcirco spatium IMI. L N: AM temporc fnito.
MIC =L. NV: AM percursum, mutabitur in IM. LY: AM, quod tem
pore infinito tantum MC: AM, id est nunquam, ab lolri porest.
C O R OL L. A R L W H TI.
543. Si (patIa IMI. I NT: AMT SumanEUE In. PFOGTEIHONC AFICHMICII
ca, crunt ip(x LN abjectis IM: AM ejusdem ubiquemagnicudinis,
etiam in progrestione arithmetica, atque adco ordinatae log-mica
FII vel aequales hisce OTMI, seu relocitates actuales mobilis OMI
cenacitate medii OM rel Al auctae, in progrestione scometrica.
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