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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 190v, page id 00068199:0380
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 191r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 112 lines, status machine
# Lines: 112 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.

se
bx sit
ob c
ate vorua e iolru es s teta
sit Formula x ex aequanda quadrato ixx fit aux tiba ac = x seu ax + b + accx = bob
a
aa X = qd Maut Aro Sarrua, sobrsia et d aproft2 + fil uo mrtbani vnraninnda ndpsm Gb
-320. 30. 20V + 320. 30. 2iV +318. 31 31
- 1av+ 240. 41 Bv+ ai. 
)13o Woigarys on a v 130. 131a
1 = p b 18  s) a . 11o. u. 31 a + ac40 av + à c 4 14
adi aaap uta
+130..
-130 ac
forte ulitius erit, e brevius favere 40 = 0 et 41 = 0
312
stit
facious
aE
et at = 10 et aX+ abx + a a ct = WVXX seu a Xx + abx+ ac = vox vel ax + ab + ac: x  v,
pax quav 4a +130
Jam video eere x ut  D X = 120 14  + 120 13B 4 230 1  +.
at E lovana ot a4 = 200+ 2ta et adt = 3ovtsia
etc
D) nost+ + 3eo 1B
et ax  ina l 1b, Y V-
et
ax +abX + a CX = quadrato  seu ax + ab + aac : x =  sit al = 1ov+na ar hovtua ad = hotia
sed pulo rem nos siet brevius consequi posse
c
aX= 10 1460C = no hhy + 3084,  A6 o  et exagu. 2 per sequentes fiet
a
ll.1302. 10 90V +  136. 1. 4 a B + 10. 1. 31a +  130 ab t6 = = 4  - 110. fo. 4d. Lto. d Hd
1. 204
+ 135 ac..
Sed vider rem ob hoc solum.  non smecedere quod non datur utrobique v sE6
a
130 145 10 96 + ab Y(8 r aac, : B0 (46. = 1oae t 4 f3roaa 22, + 2. 10 uona 2y 14, .t6
Anergo sic X = a  1t 2 4 320 +2 +eo t 3 +
seu 130 h6 +E6 + ab h6 = 130. 120 a + 220. 13 pa S2 + 130. 11030aa 24 t8
an 13046 a 135h5 + sb 13 1h6 + aac
pax = H 4 ~  130 136 aX = 46v + 3. 404. 1o t6 + 3,. 4V 1h0 axx- 40 av 4
aac h
et fat Vaex +abx t acx = a cola
40 a v + 3. 40 d. 1∞ t 3040 v 156
abq0 a b 130 t
aC 40V 
a130f6
2. 40ab130.
+ ac 130..
a130,
= 136. t6
e
ax = 40’a V + 3. 40av 130 f6 + 3. 40a130 148 +
quato
 abx = 4 ab 4oc b + ab. 130 G6
+ 2. a b.  3o L6
+ ac 130
2. 40a 10V
130. 6.
sit jam aco = 8sh2 + Z ii6 tit acoco = a  2 + 2a 22,t C
aCX = aec 40ab + a 
(ponmised video E et  deber esse stantes, atque adeo pro
26 debere
aatet hinc eoanescere debere D in priore formula, temque vo 1t6
6
quad vdetur
posse fieri e fiet 40 + 3.40 al 135. 10. 30 =0 et 340 a  130 + 139. 10.3c
quod procedit, et fiet 130. 130 = - 3. 46 a2: 10. 30 - - 40. a.) (3. 40a + 1 ab) 10. 30
unde f. (9) 10 + (3) sb = 40. se B4 40 = - 3b. 8 tgo ut cognita
ab B0 o
assumi tractam potest et fint 4040aa + 3. 1030  3 3. 130. 130. 10. 30
 seu 40 4 40. 40
pur su L est
mpossibile
detent
 3, 130. 130. 10. 30
ita
27 tolli
SEficultas
supersunt aequatanes 7. pro qubus 
30 ver absorbetur in
sed tunc inclu
cveffrcientes 17 B
invenientur
ussit patecrsieas insi v in 
160. 10. 20 l- 0
ea ut tollatur
sner
in
literus, conter an o videtur  opus
et E
hoiberi putd .
e
et
bolli pst debet v
ariabilies +
et in,   qat 4 + g uE
Eest Ergo restitur
posse
proredo
dearo
pes ut
dar
et E etam
50. 60. 20 =0. Ergo saltu, vel 50 oel 60 = 0
=, vi qua
. 16301
agod
at
56
10t