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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 349, page id 1066518432:0377
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=377
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
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DF VTRTBUS EY NIOTTDUS GORPORUM. LIB. II. 34C
perinde ac ou et ob. Ouo posito; quia NP =np (COnAr.) = BII -
Br = AT = PN = 20, + 40 = a0 + b0 (TCu a0 ip si a qualiS) = pn = NF +
ac + 24. (rel 02) = aa + LV43 CrIt a = DX = NI4, eC HIA. aa = TIA. TIX. -
Ha. N4.
Triangula vero similia NY4Z _C NPM, peabent N4: NP = N3:
NMI = Nn: NNI =Ii =Ff: NNI. Nam mn - L nNT = NN =NIp=
BI - Ff; Crgo nN = BI - Bi -F f = Ti - Ff. TIinc, quia BI. IK =
BE. TIA, exIE BI. HA. NV4: BHI, vel NP = HA. N4 = (BI. TK. TI-BI.
II. Ff): BI, =TI. Ii =TH. FF (Teu ductis per singula hyperbola
puncta R, s parallelis KF, ke rectae AB, lineis VF, se cidem AB
normalibus, occurrentes in punctis F, e aliCujuS CUIEVA DF,) = TK.
TI =FP. Ef, CrIE HA. au (=TA. FIX - HIA. NV4) =HA. HIT - IK. Li L FF.
Ff.
V. Tlinc Cum CUpPa (MIM. FT. BujuS) reperta SII VW. Vu = AB.
AD. Z. X. MIm: NIZ: MR -OX. Og (NuM. IIT. hujuS) =HO. a0 -OY.
Og; CxIE (NUM. EV.) WV. Vu =HIO. HIX -IK. Ii + HK. Ff -OY. O93
e sic ubique; ergo omnia WVV. VW =Omn. HO. TIX =omn. IK. II +
Omn. FF. Ff =omn. OY. O9. TIOC CA, ODVW = O~HA =AIRD 1
AFED = BB TO; nam, si punctum MI est in A, omnes HX arcae (1-
mul a nihilo incipient. AreIS AFFD e BBYO capiantur aequalia
quadrilinca hrperbolica AOFID _E ASTD, Critque DDV WV = O∞HA
=OIKTT = ASTD, 2C per COnseqHONS. (5. 605.) BV: B∞ =BP. BI.
BA: BII. GB. SB (vel resticutis BC, MN, ND locOB~, BI, e
BII) = BC. MN. AB: NP. GB. SB. Tam, quia BC: AB = FInUS an-
guli BAC: radium vel SInUm EOTUM, SE NP: MN =SNMP: rad. 3
erit BV: B∞, id eR, celeritas mobilis in MI ad celerirarem inicialem.
in A, SICUE AB in sBAC ad GB. SB in sNMP. Onde, S VA Seni-
ficet relocitatem in A, erit BV, seu celeritas in M, quam ctiam
exprimaM pOF VNI = AB. VA. sBAC: OB. SB.SNMP.
VI. POrrO, quia MIX. MIR: MZ. MK, SCU MX: MZ =cad.:
SNXZ veI SNMP, ec (5. 254.) MZ. MR = VM; Crit ex xquo
MX. MK: VNI =rad.: SNME; acqui (num. V.) VN: VA = AB.
(BACE: GB. SBSNMPE, e (ponendo AR e A pro radioolculi,
e Policitatione centrali initio motus in currae puncto A) VA: A.
AR =sBAC: rad. ErgO ex aquo et per compolitionem rationum
MX. MR: A. AR = ABI. sBAC: SBZ. OBI. SNMP. ANumatuE
quaedam magnitudo M, taliS, UE MI. MIR sIF ad A. AR, ACUE AB:
sBAC: ad GB. sAMP, scu:. M = A. AR. AB. SBAC:: MR.
LX
B