# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068198:0225
# Permalink to this reading: https://leibnizlegible.com/page/00068198:0225?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 113r, page id 00068198:0225
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=225
# Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000225.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine
# Lines: 90 recognised, mean confidence 0.77
# 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.

Qutaco
++ ac
1n) y + 1ny + 28dy + _00aa =0 fiat 7
et fiet
+ 129VV + 2. 12aGCdV +, aa c0W
+IILqDH + II ae CsV + II. aa eW
10d EtDD
1I ac +V
+ 2.00aeCV, +00 aa 
F 21. ade tv
-
taa eda
21ad equ- 2 aa code
+2l aCdes V
= 2)a0 at V
F21 F DV du
El
9 - IB +aC) (vds + 9 dv + adci)
(90 +aco) (ut + teo + ade)
qu (Av + aC)
a dn
2actde
Restat tollendus terminus DD
ibi ponamus 1298 + ut P = 0 seu 12g + 11 + =0
seu P= uF, et fiet
00 H e = 21. 11 + dt = 21 H d 1 + 21 p t dt = 0
2
et evanescit dt. quod non lict, nam fit 00 = d~
21
et revera non adest nisi una arbitraria, D:F
pari jure non licet tollere termnum absolutum
12
Ergo aliter utamur hoc carculo, ponamus 12gy + gaque esc esse aequationem
illam tam in qua (2=0, et ideo Sit fractabilis;
abit arbibrariam, qualem videmus, in qua 12 40
t
haec transformata
ea comparanda sit vatae v. g. vv dx + XV + Xxdx - aado =
fiet 21 = at a a: es cot eere
et hul  + I1 0c0 + 00 ee + aa (e da = code) = XX
adeoque 11 = XX - 00 e - aa
o
c
Cc ct
e cot
8a a
t
C
edo -a de ), qui duo valores secundum 2I et I
s cot
D
defent tolli ex aequi
restabum binae aequationes, quatuor literamns amfitiara
rerendum
ne etiam intus late at, et an vero loceat explicando obtinere
binas tractabiles, quanquam revera, haequatuor non nisi pro
tribus computari possint sb valorem ipsiut e
multiplicetur prius per
imo aequatio data vndx + XVF XX dx: aa d vo
arbitraciam 13, fiet 21 = 13 aa :, cot - ef, = 12Coco + 11 BC + COBP - XX, 0 de-
et fiet 12, = 13 aa (co de - C deo) + (11ec + 00(8 = 13 XX ) (88 - at), :, cot - e4
c = e 12 = 13 aa (8 dt - + d5s) + (11 8t + tt - 13XX) (e - cot):, cot - ep
et fiet  00 = 13 aa ( dt - t d p - co de + edco) + ((3 XX - 118C0) e coF):, e (eg - cot)
 12 = Baa (code - tde = edt + td4) + (13XX - 11 P L) (eg - eo t), :, tF (e8 - cot)
no videmur commoge
et parijure
aps
si e esset 0 et co et  C. co
am valores 21, 12,  ∞, substi tuendi sunt in aeg. secundum V
facere posse  =v, item quasiam ex ipsis g, c +, e, esse constantes
instantes alioque re sola e vartabuls fit fieret = 21 =Baa: cot, et 12 = 13XK - 11ec 400 e C + 13ak C
it quia poscto  =0, non extat 12 ad BD et ad D haec aequatio manet Lesoluta et ex Wn, fiet 00H = 13aa, habemus c
Si amt st C 2d Babi ft 1= 1  = 2. 13aa et, Superest 1240, fit 13 Xx - 1aa e p F = vtga
+13 ca
d
et
E
Sit
igne
ut assunta
Hc tastabilis
si jam sit e.  constans, =, b. a, seu e= 62. a videtur haberi qaesitum
Resumendus calcutus. vertatur
1
+ 13a a de
ens   reic = 1 L
set , siet de-Xxt ina, et videtur haberi isit
fclat
AtdsuV
21 et v