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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 289, page id 1066518432:0317
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DP V+RTDVS ET MIOTEBOS CORDORDM. LIB. II. 280
C OR OL E A R F U M TI.
497. Adeoque relocitas mobilis nonnisi tempore infinito extin-
rui potest, cum log-us rationis ANV ad o, Peu ad quantitatem qua-
libet data minorem, sit infinitus. Proptorea mobile M ejusmodimo-
tu ex primitire unitormi derirato in aëre nunquam percurrere po-
cest spatium AN datae magnicudinis.
Hlac omnia ad amussim conveniunt cum determinationibus Nem-
toni PrOP. 2. L ib. 2. PF. PHII. Nat. Leibnitii ACt. F rud. 1689. aTC. L.
Wallisi AIOCbE. CaP. FOT. FF Variononii ACt. ACad. R er. Paril. ScienL.
2707. dic r3 AV8. PrObI. Z. e coroII. annexis.
PROPOSTTIO LIM. PHEOREMA.
498. Si grave in aëre juxta rationem celeritatum resistente verticas FiB. 12 E
liter a quiete descendat, spatium, quod mobile aliquo tempore perlabitur,
exponetur excessu, quo factum ex tempore descensus in velocitatem corpo-
ris terminalem excedit lineam, quae celeritatem mobili acquisitam reprae-
sentat. Tempus vero ipsum exponetur loc-morationis, quam eravitas ab-
soluta mobilis habet ad solicitationem acceleratricem in termino dicti spa-
tii, applicato ad los- mica subtancentem.
Sin vero grave in aere eodem verticaliter in altum projiciatur data
cum celeritate initiali, altitudo totius a(census mobilis exponetur exce
su, quo velocitas initialis excedit factum ex tempore ascensus in velocita-
tem terminalem. Et tempus ipsum exponetur loc. mo rationis resistentiae
totalis initio ascensus ad gravitatem absolutam mobilis applicato ad sub-
tansentem locarithmitae.
I. Sit BFC I0g-mica ad AZCM FI CXETUCTa, CUjuS (UBEanOeNS FFI
sc quaecunque, ee BFI tangens log.micae in puncto B. DUCatuE PrO
lubitu linca DC aequidistans ipsI FI, rectX BF in puncto D, tan-
senti BII in P, ex denique logmicae in puncto C Occurrens. Fxit-
que FC intercepta inter tangentem BIT e log- micam BC spatium
percurtum descensu mobilis, ratio DC: FFI exPOnet tempuS, quo
Epatium F.C conficitur, _ denigue DF intercepta inter BF e BII
exponet celeritatem mobili acquisitam tempore praedicto DC: FII.
FElvero exxonet celeritatem terminalem, seu maximam, exclusire
tIinc ducta FG parallela BF, recta OFI repraxesentabit solicitatio-
nem acceleratricem in tine spatii percur E. C. Nam quoniam F FI
re