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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 151, page id 175906937X:0175
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=175
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000175.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.74
# 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.

21F Du
14 n. De
minor quim
 I
TX, CHLNXN
c elte ne
cum est lpp
cndicem
 tC
ND0.
hicur x FOreI
Majoremq
pt ∞0.
lx
 +
quam1.
IEWMIXX.
tiam rela
∞x. 
2ju5
suerit:
e
x +P
nIX, hoc
A Q U A Y L O N U H.
FSF
Duare in hoc colu erie x major quam n, et minor qudm
C. mmpB + p
vel major quam p, quandoquidem de tunc mmxx- L pr minus est
qua lX3, exit quoquemmpp.  pF minus quam l X3, _C X MajOF
quam V C. mmpp + P+
major quam V C. mmPB + p+
Ouodhrerox minortuerit quam
n, ee ipla etiam minor (IE quain P, quona _E TUNC M M XX L p+
inOF CA quam l~3; Crit quoque mMXN-L pP X x minus quain
l∞3, e mm +BC
Mm. + p∞
radicem aequationis proposux necesario esse inter maximum et
minimum erium terminorum n,
mm. + BP et V C. mmPD. + pr
Prop. I5. X + = IX3 - MMN X 1 B3 X  p+ ∞O.
Pertranlpolitionem eAtx+ -(  IX3 = Mm ~x ∞ p+ - n3 ~; ideo-
que litueriex+ L Ix3 =mm x x ∞0, seu, dirisis omnibusterini-
HIS PEF NX, X X. L lX -MM ∞ O; CrIt quOque p+ - n3 X ∞ O,
hoc elt, si CAx x ∞ = - lX-  mm, vel x ∞ - = 1 L V = II. L m M,
exicp= ∞n3x, Ceux ∞ =. CIndc patEL, Gi == eA ae quale ip (1 - , 1- L
V=II. +mm; radicem aequationis propolicae esse equalem sin-
3dc = l.  V = bI F mm. Ouod (I
Tuerit Xt-L IX3 majus quam mm x x, hoc CA, XX L lx ajuS
qua m m, erit quoque pt majus quam n3 X, hoc est,  majus quam
X. RC proinde cum xx- L lx majus sIE quam mm, Crit Xx L IX MTajuS
quam mm aliqua quancitate. Ouantitas aurem haec, licet (ic inc09-
HIta, VOCeTUTZZ ericque xx L Ixxmm. 1 22 seuxN∞ Ix L Mm 1 77.
hoc est, ∞ ∞ = = 1. L V = II. L mm + 7Z, ideoque x major quam
=l.L V = II. FMm. Ergo in hoc CalU X IInOFerIE quam., e
major quam = = l. f V = II . L mm. Ouod Situerie xt - L- l ∞3 mi-
MIIS