# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068200:0376
# Permalink to this reading: https://leibnizlegible.com/page/00068200:0376?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 187v, page id 00068200:0376
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 186r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=376
# Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000376.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine
# Lines: 73 recognised, mean confidence 0.74
# 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.

X - 2 ex + e, 
aut nexi
+ lx i et
 X- rex + et
a
Ergo hX + gX - rehX Y eh  + LLX KX + LX, m + na
2eg...  +ge .
vel +
ta
a,
Sed in eo video difficultatem, ut dula quand
indetermuatum fundamentalem per alras multiplicando
dantem datae satisue indeterminatarum obtineamus:
quaentur an non utramus multiplicare. ita liceat item jan non liceat
exlicare terminos, quosdam  ipsam N in data, ut ita nansciscatur
omnes terminos tat necessarios
CUlnum quoqe inquorendum e restat an  aeqratio ductum indeterminatarum
determinari possit ad duas radices aequales utriusque incognitae, ( dum
primum secundum unam, deinde secundum alteram ordinatur; et utroque modo
termii ita qui bis occuirunt bis multiplicantur, secundum nterminos progesso
nis o arivimelicae; tabe quid dignoscere mihi videor, ex methodo tan
Gentium Stnsiana videndum tantum am esea methodus a genentiqada x fidae
locorum tangentibus transferri possit ad tangentes seu perpendiculares ex punctis
datis:
X -X
sI
d- y
a
desm in aian scheda i
LX⊓ l. caelera ut aute, fiet 
n
∞ +f
d-y
1
2ax + a X F V sive fal ffaxl, Plax + ra X2 sive l rax + a x
dY 3 ata, a + ax
Ergo 2aX + a X 2afX + asx
Xl+fV dy-yet 2ax + d X 1 V, ert:
M + fl e dy = 2ax + d X
a + aX
ac proinde
+
=a + 7
fier.
d-y
qu
2ax +q
2us
2X ..
p qu+ quq F4
x+f
vs
v
seu de
19dy L y
a + ax
er
Ergo =.  X+f
ax +2nVX+
a +2a X+ aXV
+n’a X2
+ 4dn)...
1d
a
tap
+ ran X - a
+2da.
ju
+ a+ 7
Ergu X H
Su
d- 1
+a - d + y