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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 320, page id 1066518432:0348
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320 DE VIRIBUS ET MIOTIBUS CORPORUM. L IB. II.
Ss, eriF ZZ: AMI =SS: VO = da: FF, (5. 485.) = FFe; adeoque Om
nia tFe, hoc est, tempus calus perpendicularis per spatium ME
quod tempus delignarimus ver IMt, =omnibus Z 2; quibus tOta
ZE componitur, dirilis per ANI, Scu = XZ: AM. RrgOTEMPUS PEF
Epatium ME exponitur per assumtam magnicudinem XY applica-
tam ad sinum AM anguli dati BAI. Oux omnia erant demonstranda.
C OR OE E A R F R M T.
550. Cum celorits in P. acquisita sIE F D vel NIS, celeritas ter-
minalis CssC LHO s versus complementi IAC anguli dati BAI,
ec Scala celexitatum MD asymptotam habebit parallelam ipsi Ma, Sed
per punctum C transeunteM.
C OR OEL A R T u M TI.
55L. Spatium, quod grare in racuo absolreret cadendo eo tem-
Pore, ques dete spatium MF perlabitur, est ad semissem ML, quxe
graritatem exponit in duplicatâ ratione astumtx ZY ad datam
AM. Nam, quia tempus (5. 15s.) descentus in racuo exponiturra-
dice ex duplo spatio applicato ad magnitudinem, qua graritatem
uniformem reprxesentat, crit, rocando spatium TCMPOTC XZ: ANI
in racuo percurrendum S, crit inquam Y (26: IM) = XZ: AM.
seu 25: TMI = S: :IM =XZ~: AM.
C OR OE L A R F U M TTI.
552. Velocitas, quam mobile in termino F spatii ME in racuo
celeripti acquireret, erit ad celeritatem in aëre acquisitam percurlo
eodem SpaTIO ME, SICUE Y (2MF. IM) ad MS, id liguet ex 5. 150.
C OR OL E A R E U M IV.
553. Celeritas rero in aere erit ad celeritatem in vacuo mobili
acquititam TemPOTC XZ: AM, sICut rec lum AM. MS ad rec- lum
IM. XZ. Nam (5. 55L.) in racuo percurritur spatium S =IM. X7:
2. AM TEMPOrC XL: AM; atqui (5. 15O.) eAt velocitas intermino
hujus spatii acquisita = V (2. 5. TM) =Y (2. IN. XZ.: 2. AN) =IM.
A: AM; ergo celeritas in aere eAt ad celeritatem in racuo acqui-
CTaM