# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068217:0015
# Permalink to this reading: https://leibnizlegible.com/page/00068217:0015?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 8r, page id 00068217:0015
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=15
# Source image: https://digitale-sammlungen.gwlb.de/content/00068217/jpgs/default/00000015.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 77 lines, status machine
# Lines: 77 recognised, mean confidence 0.78
# 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.

XE + 1X LX
Im + ln + Ip + mn + mp +np
+limup L lrip +tup tnoip mup npe
Um + lmn + lmp + ltin + lmp + Imup.
∞ aequ. aer m a + b + c. X
XE x qN’+ rX + s. aequ. 0.
y aequ. ab elc. Z. aequ. abc.
sc
X aequ. a +b +C.
aequ.
Xoqu. 4+2d , a X a. _thyX _ -3Z.
X aequ  + 4yX - 4ZX - 2y
8y +474
+a
+ at seu x’aequ 6y +4a y + a - 4z a
Et frei aequatio a + qa (+ a) +6y +4 a y (= aaZ +29y +spo
d
+ra
aequide
oH X 2X + YX +s ( aequ. 0
14
senz4i quaentur a B
ponantur ad ez inientae, quaeritur  inventae a et ab.
ab2 aequ. y + 4 Z y 2Z X - 4Zy + 4Z y 4 equ m deL
Deberet aequalio 3. ita inteltiplicari peer altitiariam ut inde
rit productio possit compararicum aequ. 4. Quae aequ.
4 prius augeri potuit aequationic 1. et 2. per arbitrariam
multiplicatis. Sed matum est quod comparatio institui
non posse videtur
Aequatio Xx 9X + YX + (po. scit explicata per xaequatbte
multiplicetur per formulam generalem per a. b. c. expressam
assurgentem ad a et arbitrariis instructam pro a et abc. substitulis
prius valoribus; a residuo tollendi omnes termini
c
X= a+ N + dx + e
Cax , 2a X + 3a X+ 
+1ab
iab
nale
a
Eia
Eta
un abcd
aebc
abc abc abc alcd
12
12
X
+2a
1ab
cab
 a
a
31abe
+ a aequ. 0
isi a bcd
21ab
in abc
uabed
ta
aq aequ. l. ab aqu. m. ab Eet aequ. n.
ac
bEC et
31Bb
aeb
b
31a
abc
2I4bC
Z, MaVC
na
c
12 12
143
a. a. a
et
12 12,