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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 99, page id 175906937X:0123
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=123
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000123.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.80
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

 p oss
phunc aque.
uns elle rele.
CXX
X -bs
demtorimam
1x- P 0O
icionis. Fadia
cerminorum
comparande
A, rellituend
UM, ex co
d db, hoce
M Mb-
C aequation
Cerrire.
iuo
ICC 07 laia
dad ces et
t
A. O U A Y L O N U M.
Suxpoliris auteids majore quamb, ec d d majore quam bc, nec
dun se quam f3, habebit ipsa eandem Formam acque
duodecima provolitio xt - lx 3-  m M X X -- 13 X = p+ ∞O, aC
per conlequens erunt ejusdem nacurx de consticutionis. Fiat ergo
adx quacio, unde conterendo secundos terminos habebimus l~C
=b, hoc cAt, c∞l. + b. Deinde, collatis cerriis terminis,
habebitur mm ∞ dd - b6, hoc est, substituendo ralorem cinven-
cuin, erit d d ∞mm L. bb- L bI. Tum comparando quartostermi-
noshrabebimus (3 - b d d ∞ - = n3 hoc est, substicuto ralore dd
invento, eric f. ∞ bmm -   bb1 - f b3 - 13. TInde discimus, co-
onita reraradice b, hanc xequarionem ∞3 f b X X F bb x f. b3 ∞c
+ 1
F b1 = bbl
LMM L bm
cribus religlis interrire.
Denique, comparatis poltremis cerminis, habebimus bf3 ∞pr
ac per consequens f3 x . unde, cognita reraradice b, HXC X
quatiox3. f bax Lbbx L 0ad tres reliquas cricreterenda.
mm
23 Proposirio.
Pro dccusacelcla plopenione. Iac ex Mltabls, 13L Cx X
d dx f β ∞ 0_x - b ∞ 0, hXC aquatIO∞ = -] CX3-  d d X X- ( f3 X
-b. - b0 -bad
f3 b ∞ 0. Suppositis auteM C Mmajore quain b, _ dd Majore
quam bc, nec non f majore quam bdd, habebit ipla candem FOr-
mam atque decima certia propolitio xt- L lX ( M m ~X L n X
p ∞0, dc per consequens ejusdem erunt natura d constitu-
cionis. Fiat erso adae quatio, collatis que secundis cerminis, habe-
BiimuSt∞ C= b, hoc est, c∞ l.- L b. Deinde, comparando certios
cerminos, habebimusmm∞ d d= bc, hoc est, restituro ralore c
invenco, eeomnoo. Lum Copalalis Gualeslet
minis, habebimus n3 ∞ f3 = b d d, hoc est, Substicuro ralore d d in-
Vento, erit f3 ∞ 13- f- b3-  bb1 = bmm. TInde constat, cognica
Verd