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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 390, page id 1066518432:0418
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390
A P P F N D I X.
rel proportionis horum. Acqui principium rectis praebet lequentes
xquationes
E. A. AB = L. L. B + AL. MB F N. NB + O. OB + P. PB.
2. A. TATB = L. IITB + MI. IMFB +N. ENTB + O. TOTB +P. EPFB.
3. A. 2A2B = L. 2T2B FMI. 2MI2B + N, 2N2BFO. 2O2BF P. 2P2B.
4. A. 3A3B = L. 3C3B + MI. 3N3BF II. 3I3B + O. 3O3B + P. ZPZB.
5. A. 4. A4. B = L. 4 I. 4.B + M. 4. M 4. P +. IV. 4. L I4. B. + O. 4.DAB + P. 4. P 4B.
6. A. 5A5B = L. 5L5B + Ad. 5M5B + L. 5A5B. +O. 5OSB F P. 5P5B.
FIx aequationes continus à se inricem subductxe, seilicet secunda d
Prima, tertia a secunda, quarta a tertia e Sic deinceps, atque re-
sidux dirisae per respectiras disterentias ordinatarum AB, LATB;
TATB, 2A2B; 2A2B, 3A3B, ScC, habebuntur quinque aequatio-
nes, in quibus lingulis A erit ex una parte Cola, ex li in reliquis mem-
bris, pro singulis BL =TBTL; BM = IBTM; BN =+BEN, ex SIC
deinceps, dirisis per AB = +AFB, SCrIbanEuE (, R, S, Y, V.
in quinque residuis aequationibus, ex ex eodem modo tractentur ac
sex primae, sequentes scilicet ab antecedentibus subducendo, relin-
quentur quatuor novx, quae per respectiras =OT, I =2,
22 =23.
2-
13
I.
24 dirictantur et pro R - RF: O =OI; S =S1:
=OT; V = VF: O =OT; FCTIDANEUE Y, 5, L, I1;
Item pEO RF = R2: F -92; 5F-52: OF =92, eEC. YF, SF, FF, UT.
PrO R2 = R3: 9293; 82 -53:92 = 13, eC. Y2, 52, 12, 1123
et sic porro codem ordine, et hxe lubductiones ac dirisiones conti-
nuentur usque dum unicatantum super sit aequatio, Poterunt in quan-
titatibus datis omnes A, L, MI, N, O, P, _C. exhiberi, aut Pal-
tem omnes excepta ultima P, quae arbitrariae magnitudinis est, nam
Factis debiris reductionibus invenietur
D
Le
NI = = Or = P
M = -- 170 -0 - 10
L. = - NIr = NV5 - Ot = PI
A =LO LMIR LNS LOT + PV. In his aequationibus eAt aLB:
aAB = Q; aMB: aAB =R; aNB: aAB = S, aOB: aAB = T; aPB:
aAB = V. SicdLL TB: a+AIB = OF; aTMTB: dLATB = RLL; aENFB:
dAIB = ST, _C. Nec non d2L2B: d2A2B = 92; d2N2B: d2A2B
=92; ec. Obi notandum liceram d cuilibet ordinatae praepositam
significare differentiam, inter hanc ordinatam ipsique proximam ver-
si