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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 429, page id 175905688X:0451
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=451
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.85
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 e1+
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enioe
DE RE DUCTLOHE A OLAYEOHUM. 129
methodum esty - a ∞00, ideoque y ∞ a; cumque Z sIC D 3 a ay -
13m bby  3 ab b = 2 a3, erie inde Z etiam ∞ -f 2 a b b. Aqua-
eio autem, per quam Propolica diridi pocest, polita Crat x 3.
YN X = a a X Z∞0. Ouocirca si in hac subrogeneur valores
quanticatum incognicarum Y et Z, invenietur proipla x3 F a ~ X
 a a X  ab b∞ 0.
Atque ica de aliis omnibus Propositis aequationibus, sire r-
tionalibus sire irrationalibus, ex vel aliquam vel nullam Fractio-
nem habencibus; atque etiam sire ultimus Terminus, sive aliquis
alius, quem libuerie, aequationis, per quam Propolitxe dividi
queune, dacus fuerie, sive alicui quanticari (ut in his exemplis), si-
re nihilo aequalis sit; cujus quidem generis nullum exemplum
altero, cum operatio liaudquaquam direrla existat. Id tantum ad-
dam, haec omnia etiam ex comparatione terminorum duarur
ejuldem Formae aequariomum inveniri volle.
ZOMd, EY TTMA R BOV F A SE EX FBN DVN F A D
OMNEM SCOYATIONEM SEVE IN EA IRRA-
TTON ALES QV A NTET A TBS EF FR A CTFONES,
SIPE NYELLE REDERLANEVR, EXCEDFIS
TAN ZYNC FL LLS AE OV ATTON FBVS, TN OVF-
DY S SFON A R A DLC ALE A SV N F, OV A TNCO.
ONLTAM OVANTETATEM ENCEVDVHT.
Cum aucem hae dux Regula Mechodum requirane, qua omnia
Siona radicalia, quae incoenitam quantiearem includune, s in
xquatione Propolita calia torre fuerine, primum tollaneur; sc-
quentes rero Regula, quibus omnia signa sine dilcrimine pri
um auterantur: peaemiteam
Modum tollendi sirna radicalia ex qualibet aequa-
tione Proposita.
Proponatus, verbigratia, aequatio n∞ e. L 8. L B -+ k Y m, _C.
in qua r. quaelibet licera quancitatem delignet, signo radicali
Oadlectam. Mulciplicetur utraque pars quadrate, de erane-
Ccet signum quantitatisn. Ononiam aurem reliquae litera e, 8. B
L. m, eeC. aut unam aut duas dimensiones habebunt, signumque
radicale, in quancum duas habene, eranelcet; manifestum est, ob-
TIH
3
FIMeTI