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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 308, page id 1066518432:0336
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368 DE VIRZBUS ET MIOTIBUS CORDORUM. LFB. II.
C L LH.
fi18. 127.
531. St Slare in Perpenaiculariter deorlum projiciatur in recta
MX Celeritate MI, majore ipla terminali MA vel MP; POlItOque,
mobilis relocitatem reductam eNe Cx MI ad MS (nam, quia velo-
citas projectionis MI major est quam AM, resistentia medii major
CFIE GTAVIEaLO, AC PTOPECrCA motus continuo debet retardari) exit
spatium percurtum ME exponendum per l08. V (PTA: PSA) Peu
l0g- mum Cubduplicatae rationis rectanguli PI. AI ad PS. AS; tem-
Dus vero, quo mobile spatium MF percurrit, seu quo velocitas initia-
lis MI reducitur ad FD vel MS, exponitur per l0g. V (AL: AS) -
l08. V (PL: PS). PONIEUE VeTO. MIP =MA, hi posteriores log. mi (u-
muntur in l0g. mica, cujus subtansens cA uinitas, l08. VerO CX
Y(PIA: PSA) Cumitur in log mica, cujus subtangens cAt AM vel
MP. Sin vero celeritas projectionis MI minor Fuerit quam MA,
hic catus jam continetur in praesenti propositione, ut adeo cidem
diucius immorari planc necessum non (IE.
532. Mnea recras qua celeritatem terminalem seu erdvitatem unifor-
mem exporut; sumla pro pnu toio seu radio; si mobile quoddam, cele
ritate initiali, expressa tangente alicujus anculi, verticaliter in altum
projiciatur, maxima altitudo, ad quam mobile in aère pervenire potest,
exponetur log- mo rationis secantis anculi ad radium, et tempus hujus
ascensionis exponetur per ipsum ansulum, cujus tansens celeritatem ini-
tialem exponit.
.5. 128. Ascendat mobile celeritate iniriali F. C ex F. in M in linea verti-
cali LM. centroque M delcribantur, uc in praecedenti, circuli
quadrans ILLA, hyperbola aequilatera II, ec logarithmica IN.
Producatur CF in. II Factaque F. II certia proportionali ad FCF dc
EC, exitque PFI resictentia, quam alcendens mobile ab aere patie-
tur in F; X quia PEXTerCa P C, sCUMA, Traritatem unitormem Cx-
ponit, quae mobili in altum lato quoque resictit, erit ideo (5. 48F.)
resistentia totalis mobili opposita in F aequalis GFI. Adeoque Cur.
ra quaedam FIM erit Scala relistentiarum totalium, curra vero CM
Scala celeritatis decrelcentis FC. Adeoque (5. 484.) res co deduci-
Tur, uc construantur lae nominatae currae ejus proprietatis, ut sIE
ubi-
eROPOSTTIOLZV. PHEORENA