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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 291, page id 175905688X:0313
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=313
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000313.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.72
# 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.

AbbH. -
L inque
aationer
deteis
tione
cranliI
ila ade
CIM let
10n di
Equa
G O MMLE H Z AR, EE LAB L EDRUIBH L. 3QR
Fodem modo, quih adserendo secundum terminum Aquario-
nis yy ∞ -Ay F bb, Teugy F ay - bb ∞0, ponitury L Z a D Z,
(IVC Y DZ. - a,
5 e. . slod S. D5d B 
atque progu seribieurZ BmiL aZ- = a 5  f - = 913P 1p. 5 5913. 1IXC
3ix dC PrO - ag = Y - C A (A R m  4 4 g = P CC X AD XIBBZ EVI113
Ce. atquodgine  e 19y 1d  1 ab. b ex-
C) xiton dercine
prodibic aequatio ZZ X - = aa - bb ∞ 0, vel ZZ ∞ = aa j b. b
cujus radix eAt Z ∞ N = a a f bb, vet Z ∞  V 3 a a-t- bb: trinc
radix prioris erit y ∞o V = a a L, bb- = a, vely ∞ V = aa L. bb
a. Oux quidem Falla de veraradix inrenitur quoque Follen-
dosecundum cerminum Aquationis hac ratione: videlicet, sup
ponendo y delignare etiam detectum alicujus quantitatis, qua
major lic quatn- a, Exempli causa, y ∞ - = a .F
di substicuendo  a+ 1 a2 F X Z locoyy
e= a a  AZ
tum  bb.
10c0 + dy
unde fc Aquatio  A a - = bbX. L1 ZZ∞ O, Vel Z Z∞ = a a. L bbo
cujusiradix est Z ∞ V = n a Y- bb, vel Z ∞ = 1 = a a  b b 3
atque adeo y, ∞ 31a q. +.  aF bb3 vel y ∞  1a 
V= aa f bb. ut ance. Onem modum, collendi secutidum terre
num, ranquam divertum ab eo, qui ab Authore pa5. 7 3 est osten-
us, nocare pores, cum priius e secundus terminus codem signo
L vel -lunc adfecti.
e
ESctD VOHC, 3WIE
odimilices, cum ad roslendum secundum terminum AguatIOgIS
F ∞a2 b6, vel ZZ = aZ F b b ∞0, ponendum (1C
Z a D X, Vel Z ∞ X  2a,
ee Ccribendum X X L a X - = a a PFO Z Z,
I1
_ NISI QL AX aa PIO a2)
ec addenduim  e  bb:
(15
15
proveniet quaioxrF  aa F bbD O, Vel XY X L a a == bB
cujusradix estx∞ V = a a - bb, vel x ∞ = V = a a = bb. FEEE
ractix prioris 2 ~ A L V=  a  bD, VelZ N a L V  aB - bb
Oux radix utraque verd elt, de alioirem 1hOdo inveniri porest 
nimirum ponatur L a = Z ∞ x Sive Z ∞ = a - x, e substituatur
2 cndusie C, B CtBC+ bt ( 43) sBiOD et LLEBBS 3IBCAL rdFO 3113
d0
+ a a