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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 83, page id 175906937X:0107
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=107
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.77
# 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.

ima propoli.
bd100 8
bbdd. 30;
Per
aao
115 l2C-
debic  d X
e aquatione
CTIEMMN
cadie b, han
igus rres in
n
ta A AX
enS Esale
V Tlatq
d bc majo
la f.PO
CACOI
 live
Est IIt 3
bebicurda
es Guaeren
ebiuIS
nolei
A O U A Z E O N U N.
Eadia b, hanc aequationem _3. L l. ∞ v L b l v +7 ∞o cresreli
sUadLAAICCSCORCCTMCIC.
Lb
+ bb
HH.
3 Propositio.
PEOC POPOMLIOHe, Hat ex duabuS AS L CxX L ddx L bdd ∞ C
d x - b ∞ 0 haeC aequatio x+ - = C ∞3 + d d N x F - b b d d ∞ O. Sup.
 b
politis aucem b majore quam c, e bc majore quam dd, habebic
ipla eandem Formam acque cerria propolitio x+ -- lX3 -mmXX X
p+ ∞0, e per consequens ejusdem erunt natura e constitu-
tionis. Fiat jam adaequatio, e comparando lecundos terminos
habebiimus - l∞c b, hoc est, c∞b - l. Deinde, conterendo
certiosterminos, erit -mme dd - b5, hoc elt, resticuendo ra-
lorem cinrentum, habebitur d d ∞ bb. L bI -mm. Uinde discius,
cognita rera radiceb, hanc aequationem ~3 L b xx. + b b x. + bb l ∞0
exibus reliquis inserrire.
+ b1 = b3
M. - bM
Postremo, comparatis ultimis terminis, habebimus pr  bbdd.
unde sequitur, dd aequari ; _e cognita rerd radice b, hanc ae qua-
Cione N3. F b ∞ N F bb x + 7 pro cribus reliquis usurpari.
L bb
MM
Propositio.
PrO quarta propolitione hat ex auabus x3.  CNX I adx Fb adt ∞C
ec x - b ∞0liaec aequatio x+ - = cx3 F d d x x X - bb d d ∞ 0. Sup-
-- b
politis aurem cmajore quam b, ee d d majore quam be, trabebie
ipla candem formam acque tertia propolitio xt L l X3- L mmax X
pt ∞ 0, ac per consequens dux illae aequationes eandem habebunt
naturam _ corsticutionem. Fiat jam adaequatio, comparatis que
secundis terminis habebimus lDc= b, hoc est, c∞l. L b. Dein-
de