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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 316, page id 1066518432:0344
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326DE VFRTBDS ET MIOTTBVS CORBORDM.LIB. II.
portionem celeritatum relistente in nihilum abire, tum etiam
MC -LM: AM. IIOC enim CaTU TM abirCE in AM, X OM in
OM, id cA, ratio TM: GTMI ACTCT AMI: OMI, adeoque I NF 109- US
illius ratiOnIS ACFCE MC, adeo UE NIC =LN Futura SIE MC 
MC =0. Ouomodo ergo ex constructione praesentis propositionis
elici potest constructio provositione L. XIIL. in calu iplius AI =
MD =0:
546. Ouia in dicta propositione (5. 522.) l0g-miex subtangens
exponit celericarem initialem, Tumatur 10g-us rationis TMI: CTMI in
ea log. mica, Critque (5: 492:) 109. (TM: OMI): AMI = LN: RC,
adeoque L N = RC. 105. (TM: GMI): AMI, a IA. LN: AM =RC.
TA. 109. (TMI: OM): AMI = RC. OM, MP. 108. (IM: OM): AN.
ME: AEqui (S: 54F. ALM. T. X91. T. II.) eA KC. OMI. MP =IM.
AM, CrGOIA. LN: AM =IM. AM. 108. (IM: OM): AN. MP =
TMI. 109. (IMT: GNT): MIC, e haec estnora expressio spatii in aere de-
Cur(I, sire IA SC quanticas realis sire nOn. Tam, si IA =O, Crit ratio
TI: CMI =- AMT: OMI, cranescente sCiliCCt OMI = TA, et existente
OG =OMI. Eroo spatium in aere percurtum erit hoc CaTU AMI. 10G.
(AMI: OM): M P = 108. (AM: OM) in catu propositionis L XTII.
UbI MIP revera aegualis Facta CPaE AMI celeritati iniciali. F A er∞O(D2
tium absolutum a mobili in aere percur lum exponendum l05- mora-
eionis, quam celeritas initialis AM habet adt residuam mobilis seu
actualem OMI, prorsus ut habet provositio citata.
547. Determinatio temporis es paulo altioris indaginis. HJoc
tempus exponitur juxta praesentem propositionem per (MC = L N)
:AM. Jam (5. 544.) CAt MC -L N = l05. (AM F MIZ: TM) =108.
AM L NZ,- 108. TM. EFIO8, (AM L NZ) =(MZ. M2.
MZ3
MA 2. AM 3. AM
ecC.) in RC; = (NZ, OM MZ OM MZI. OM
AM. OM 2. AM. OM: t. 3. AM3. OA = eC,). RC, CCH
quia ex constructione rec. Ium MZ. OM aequatur dato rectangulo
AM. OMT, CrIE IOG. (AMT L NZ) =RC DM. AM AC: ON. AM
2. AM. PM. +
AM. PM
2AM. OI = _EC. = RC. OM. MD RC OME. MP RC. OMD. MP
3. MF. DM = eec. (aUF-
2. MP. OM.
MF. OM
RC. OM. ANI3
quia solidum RC. OM. MP aequatur Colido IM. AM, ut aliquoties
jam ridimus) =IM. AA TM. AM OM, LML. AM ON
3. MP. OM = etC. Atqui in
MP. DM 2. MF. OM
hiac ulcima serie intinica, ob eranescentem (secundum hypochesin)
At