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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4
# Folio 32v, page id 00068022:0064
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 33r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 82 lines, status machine
# Lines: 82 recognised, mean confidence 0.76
# 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.

Quoniam patet superesse f super numeratiam nec tamen ab ea possit
oriri variatio, cum problema sit determinatum, ideoque necesse est eam destrui.
quod ut videamus, utile est quamlibet literam quae f continet, explicari;
catenus saltem, quatenus f continel, itaque pro 9 poremus Vf. Pro
e poucuy:  ef quo h ponenus  Af. pro l poremus _Af
a
pro M ponemus (S
2
et pn NF, sed hoc credo sub
erxitum sufficere, ubi destrnendi f tempus erit.
1n tnlequam autem explicemus du c, b. explicabimm distincte:
C, et R, est autem  Sed ut hoc quoque tutius procedat utile
les a alqmaseaq is sa ligr arbitior, numeros adhibere, quo
facilius emor viletur
Bal 45a, + 2( c 125a 4 192, 2315B +5B Ssgr,  64 fa(+ Fa 5192  efea
188.
sin l+ nsaeBs9
18
l7 4saro 18β +f a 315 ( Z _ 18β afa f B 159t 14331 fa 31 5 B +184 β3 2faf  192
loi in FWB fa S59  31fBfa ssyr fB sigr- a 42a Yg + 16(5 ea
18
et p 72
16
-31 - 592 16(.
∞ -260
X 961
2232 - 3844
=2268
627 6
= 4008
= 236 8
-6276
+31 432 12 L18
+124 1n8
18
+254(592
+ 721592
F 182 1592
+
Unde
-4008   +18. f2 19
1Ba
Cum vero etiamnum verear, ne aliquis in ipsa denominatorum
asa collatione error insit, resumere placet tertia vice, et
quidem adhibitis numeris, necesse est enim, ut me nmeris assuefacium, usui
numerorum in calculo Analytico. Esto a p1.
et fier -2f aβa = 3C 16 + st a
un
2n a
R
A 3
_o (2) 2fga +_ 3ea Bga + (2) 3 e2f 16B + F) 4f a (a
ABa
3+14. fH2. ex3
Curpsbsus om
erC 22
ABa
(3+43+ (15 2) e i
1405
28 es
et prol substituendo
ejus valorem inventum multiplicandoque omnia pertBa
F 2Xtt et communemtrunc dibisorem habere p possini fier 
Bh  2309 aBA (t as  1B (6) 3erf 16( a + ( ge6+ ( le 25g a-
A) af 4β a
s
121d L1D8) 4+ ,58) 192
8hp (4) segae +() 45a + (3C 2f a Ba + (2) 9e 16β -170 la
1II
57
16(72
Porra 
X
ehbga ) terf repi)
11I
I8h  ((4) 3ega + B) ( () 4 fa 4 () + (6) erfis ( a + (2) 9e64 (. (8) 2fga (8) sea Bga
1
EM  VIII 
L 193e2f16B a  14) 4f 4Ba)
163 a vI.
Sue Ah p ( 3C2f15P’ a , F( ge 6+6-  2fg a - (4 3ea ga ) af2 a
X16C