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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 343, page id 1066518432:0371
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DE VERFBOS FF. MIOTEBDS CORPOROM. LIB. II. 343
capiatur Z. N aequalis CF in fig. 234. erunt que puncta N in linea qua-
dam curva XH. Fsto porro rec-lum ex ordinata AF aliaque OR in
Jog. mica, aequale duplo areae ATNP, e in medio I intervalli AR
ordinatarum AF e RO ducta ordinata I5, atque ad distantiam
TX aequalem AD, alia ordinata ZV; haec ZV exponet celeritatem
acquisitam mobili in curvae descensus ADB puncto D post lapsum per ejus tis. 234.
arcum AD.
Ductis ordinatis aliisre lineis, ridelicet pn,nm, mi, id, st, UN, ec gr
lineis cognominis PN, NMI, ec. Parallelis et indchinite vicinis,
item per puncta Q, V ex S lincolis De, Vu, ec S0 axi AR paral-
teliS.
I. Constructio, quae PEXBCE Z. AVNP = AF. OR _E 2. AYnp = AF.
gr, etiam cfciCt ZNVP. Pp = AF. ge (5. 49 T. RUM. FT.) OR. Rr.
TI. Ouia (Consr:) AT = TR eE AF = tr, CxIE RV = 2. T1, atque
adeo ST. TF: OR. tr =ST: 2. OR (PCU, DTODEEF COntinuC PRODOT-
tionales AF, TS e RQ ob aequalia harum ordinatarum log-micx
interralla AY ex TR, crit ctiam) = AF: 2. T5 = AF. 50: 2. 5I. 50 =
5T. TF: 26T. 50; Cr80 2. 5T, o5 = VR. Rr (num. I. hujuS) = 2. NYP.
Pp, Croo etiam SP. 50= NP. Pp; vel Pp: 50=ST: NP.
TTT. FTyDerbOIA VeTO MIO PEEBCE AFE: AH (auE, quia ob xgu2-
lia interralla AD e TZ OrdinaER AF, ID, CCU AK, ST aC VX
per naturam log-mica proportionales TunE) =STE: VX: (=MR:
OF) = AF. MIK: AF. OF, CFIE, PCRMUEaNdO, STE: AF. MK =VX.
AF. OF, CCd (nUM. TL. hujuS) Crat Pp: 50 ==ST: MK, vel NP; et
l0g.mica exhibet so: Tt = ST: AF, ergo ex aequo Pp: lt =5I2.
AF. MK =VXE: AF. OF, _ VX. TF=AF. OF. Pp.
IV. Cum (Constr.) SIE AD = TZ, _ Ad = t∞ = tI + TZ - XX
erit Dd = TY -XX, vel Z~ = TF -Dd, id CA, VX2. ZX =VX.
TF =VX. Dd; acquis lOCOVX. Xa substicuendo (5. 49L. num. FF.)
aequale AF. Wv, LOCOque VX2. TF (nUM. EFT. hujus) aequale solidum
AF. OF. Pp, ac denique Faciendo VX2 =R. AV, RCL AF. VX.
WV= AF. OF. Pp = AF. R. Dd, vel, applicando omnia ad AF, repC-
rietr VX. W = OF. Pp =R. Dd (scu ponendo Y. Dd aequale OF.
Pp) =VX. 1 = T. Da =R. Da = (T = R). Dd. Jam, quoniam Da
est elementum spatii AD, SI T =R St Colicitatio quXCUnQUO ACCC, Fie. 134.
leratrix, crit momentum hujus folicitationis ae quale momento velo-
citatis acgnisita in currae puncto D, ex cum idem folicitationis mo-
mentum repertum sit aequale momento oedinatae XV, Sequitur hanc
ordinatam exponere celeritarem in D acquisitam. Atqui, quoniam
le