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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 290, page id 175905688X:0312
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=312
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000312.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.70
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

280
F RIA HQFSICIX aZSOH ODTBH C
cundum terminum AquationIS. X H F a X 3, t aa
lox aCCK-
a ac0∞0, (qux quideminrenitur, cum prolinea C F. in gue-
stione Pagin. 8Z ponicurx) in eandem ireidamus A quationem;
quam invenimus eollendo secundum terminum peacedetiris
x
 ad do 2DEZ EBLOLESFd3d FIDEL SBSS, C
X
X a X
CXea3 X a
3CB 6 ediL   CH d 3Edi SH et , 3. Qux 2b illa omnino
l
elb
eAtdirersa, resultans ex inrestigatione lineae D F.
2 l.
Deinde animadrertione dignum est, quod hâc sublatione le
cundi termini AEquationes paging6 _7 in faciliores sic trantini,
tentur ut carum radices sacumle prodone, nec alia resula ad eas
inreniendas opus esse videatur. Ftenim, tollendo secundum ter-
minum aquationis Z. Z ∞ d. X t BB fCHZ, L a Z it bb ∞ O, ( di-
ridacur a per 23 EiFEa, a0 poaCuI.
d. D N, (IVCZ D N F Z a,
atque prOZL FepOnaLENN d v 
hec non proaZ
inm e addaCur
in a aa
a 00.
reloicabit aequatio HaCWX Z == +aa = bb~ B VelXa D  a d L SB.
cujus radix est, x ∞ V+ a a F b b, vel x ∞ Wq n a  bD.
Unde sequitur radicem prigris xquarionis _ _ Z e b b. FOrO
2∞+ a. I. V a a L bb, vel Z ∞ ; a V + aa. 1 bb. OUXr
dices, cum vera tum falta eriam inveniuntur collendo secuindum
terminum, hoc pacto: POnatuF
FZD X, feH Z D a = X
n acsuo 379
Sa- X ∞
di 33  179  a d  X N
O a a - = a X
 PoribatUL = a a = a X - L X X PFOZZ,
ACguC a a  a X 
tum  bb.
DrO 24Z p
FF eerser quario _n La a  b B et X N ∞O IO veL a X eO LBN
 b. Cadem quippe, quae invenitur, ponendo 2 ∞ ; a- L X
quod sumiliter in reliquis sequentibus quadratis. A:quationibus
locu HaDeD) Je ADS UuPEd ∞ 3 V a a GEBB; Velo mS
+resF
2I
aqs
uts AL G
1791aG. + a4-  bb, Vel
aa b6 ac proinde 2 ∞ a
enti e 
a
 ayes
F. OdeiM