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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 431, page id 175905688X:0453
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=453
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

t
acI
en
decat
eparem
l
52, DIC
2
 15C
8
(1CFDD
DE REDUCTTORE AE OUA EIOHUM. 43L
erirque qt. F rr8h. F ssek F 1ThR ∞0
L tFBK
rrb. Ls(
F + BBRe + 2q+FFBR
+BB F s+RR L ErY
088
8 LFE hhk R L g tbR reBh- (+ B B- Errs(BR IN 88∞ O.
Supponatur rurtus, breriearis causa,
k- r + BB88- s= RR 58 ∞ V8
ec = q2FF -  rr(s88 ∞ 10.
Hecque vd- L wo hR ∞0
p8 ∞ - Bo BR
de inrenietux v ES∞W BhKR. Oux aquatio ab omnibus si
enis radicalibus liberata est.
Deinde ponatur unaquae que licera aequationis superioris
B∞e- g. L B, ecc. designare quancitatem signoradicali V C. 2d-
Fectam. In hac igitur (i loco quadeatae multiplicationis utraque
pars mulciplicetur cubice, crane(cet signum radicale ip(iuIS n, d
unaguae que reliquarum licerarum e, 8, B, dt c. aCquiret L, 2, auF3
dimensiones. In quancum autem eres dimensiones habene, in tan-
cum carene etiam signo radicali, adeo ut hâc ratione obtineri
queat aequatio, in qua e non nili r aur 2 dimensiones habere po-
telt. Ouocirca mulciplicando omnes hosceterminos pere, ob-
cinebitur aequatio, in qua epraeter F, 2, X 3 dimentiones habere
neguic. In quancum aurem z habet, in tantum quoque sisnum
radicale, uti dictum est, cranescit; ac proinde ipla c in hac a qua-
tione etiamnon nisi T X 2 dimentiones retinere poterit. Hlinc si
opchiujus aequationis quaeratur ralor iplius ee, isque in locumee
praecedentis substituatur, obcinebicur xquario in qua e unam
eancum dimensionem habebic, atque ideo inveniri poterit e a-
qualis aliquor terminis, in quibusipla non comprelenditur. Dux
aequatio, li deinde cubetur, dabit aliam, in qua limilicer signum
radicale iplius eprorluserane (cet. vel porest rursum pere mulei-
plicari, de ralor ee denovo inveniri, quiicerum, ut antea, policus
Jocoees habes ralorem ipliuse alio adhuo modo; ideoque duo hi
valoresinricem comparati, aequarionem dabune, in quav cxam
ipsius
L + + BB