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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 213r, page id 00068195:0425
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 212v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=425
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 102 lines, status machine
# Lines: 102 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.
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# After the first blank line: the recognised lines in reading order, one per line.

4aa. 4a +1
sdda aa a - 1. + dd  aca - 1. + 7dd aaad 
2...-. +.. ....... 1.. 
4a aa a -1 + aaa a - 1 7aaaa = Ce 1 4agaa + 8aaa - 4 a - 1.
e X = ABF 
raaaa + 8aa q = 4 q
ada t 294 - +
at
ee
aaanatBaaat +aa = 4a a 4a +1 +
YtB2C
Raire du sendex eti majoris d.
dd
= ee + 4
+ 4
dda
Ut d. ubique abjici possiu supponamus A. esse
Quadrato quad ratumt 
_ ZB
x-  seu , 2a +1 = _C M p. 43.
2a + Z =V
taaaa + saaa - 4a - 1 = dd
4 vaaa -4a - 1g- dd
taaaa tueaaa- + a = 2 +
gart F C = B. - 2a + sar q-  + 4a +V.
16 9
4dd
a2 F b2
 +a2 + b2 -a
 2a - b = R4 a2 +b2
4a
a + 1  aa + da Ey, 1a + 13 - a + 2a. Epo 13 = d + 2a2 ba
ga +  -  a +  FaC2 ga ( 14
iss ania - ga - a
 = + 9a sin 3 1 7dr4a a = 4d aca +
4 4
agaa  (2- 4a
1pG = a + 24  94 4
16- q ’ais qes  
= aaq pa  22- g
do
ese
dd
ce  je ce e
ec
ee
aaaa +2aaa - ra = ec
at-1 a3 ata
a+ 2 = 2C Ergo 34 + 2 = C. 3a+ 2 =2e
I +3. = 4a + 8a
13 = 4a + 8a e -99
4a
gaaua gaat agant.4aa r at 1. - ec ) 19 a 24 9 a tra - a
2a + 1
4aaag + gaa + 4a +1. Aaaa. 944
64a
a
=aa +, a2 seu
1
rarcaaa
et 8a
aa + a
aaaa in
35L11
1 16a + 32a - 134
= 1 a + 3uac - a. Eagut 1=, 10a + 5.a -a
ho  = 16a3 +32 a- 1
36aa) gaa = 4aa aa + 44442 - 3. Nu Y 43+9aa = 4a + adu
3+ 3da = 4aaaa + 9a4 a 2 - 34
ad +324 act 11.
ana aaa rqua a2
9r= aa + a2= 4aa V
2a1F + taa raa traad traatiaa aa Yaa  4
eat
 = aasatr. Ia. 1.  aa 1 4
33-9a + aa 4.1 3aa
atte (verte aa aa
F aa a
3- 2c2
da . 5+
ox
1 = 10
13+aF a +20
15+1a 164152a
aequa
e
+a = 1a 2
a - b 
20636
a a r4 - 1
a14a5 4d p2ad
13. = 44) seu
at  
a 3
q 
RE13
3.4aa
rone 13 aC, - a 2a
=16 a) 
la +raa
ta,
aat aat