# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068197:0137
# Permalink to this reading: https://leibnizlegible.com/page/00068197:0137?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 69r, page id 00068197:0137
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=137
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000137.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 85 lines, status machine
# Lines: 85 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.
# 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.

 y = Haxtab) + ((ax+aC) fit gu a raX + ab. + 2a erb, 214) et y qapsuu tffacta  -(t aa xp t pr ) ma 
pac
- aax Gy +. aabl = 0 p. y - 29y Rax +4 aux = 4u axx = aabb = 2ac taa x
 2a1))
+ aa cc
2ac -22abC
ab +4 aabx 4aabX CC,
lac agnacx anaxe +2aabc
aabl + aa bb
 aacc + aabce
et fit jy = 2aX - a l = 241 ( X + fbx + bc) araabe + raabe
et y = Y(2ax + ab + 2a L(XX + bx + bc). Itaque Hoc ergo summari potest
Gear summari etiam potest _ X = v - 2ab y + aabb,: raqus, sed hoc scimus aliunde
21
aacc
=ratibe
Generalias y =H(mX + ab) + Y(nX +aC) Gy = n.X + ab + 2 (mx L ∞ 2 + (nX + ab, nX + ac)
fint 1, 4 P = 2 MXI g y + mmXX + 24 (n 7b) X + aabl = (+ muX X (+ 4 acnx  +aabC)
RX
a 2ab
 hac
et fiit t - 2 
lab
 nn
+
D2mn
visres aaacc
(reamex
(D 2anbx
ran CX
(Braabe
naXXx ZaCmX +aacc  nnXX
+2acnX
Emaxx
A siet yy = nx + ab + n XX + abn X + aabe)
ac MX
nX + ac
tabtix)
racmat aacC = nnXD + 2ameX - aacc
rabex Praabe +2mn F2anbX + 2aabc
acax)
(2an
Erg. 1∞ (O+ 1a5) OB+aS+ 20 aD
Erposumei poest y - 1 (nx +b a t 21 (imxx + abuXx. rar c))
Et summan potest quadatura ratioulius. sanux ae  + ba +2 Cnn X L abnXX + a bb)
s
aa
dacmxx
y= 10rA + seb +01+ 36 + 210DGS = yy
ODgy + 0071 = 40095 fit s- 20 rgy + 9ODP =0
188
sit e
avs
4 8805
+20980
m
-2985 + 9486
26986
Bfit aa vo = aL MN + 2 aLMAPQ 
V =2GLMNVD + aULLMNAX
+ a pa
=2 PZa
(Dpda MXPZ
au c
aC M)
sit B - p aD = mnXX + ab nx taabe, : pp
ac mp
(qua xpqe
a0 = SatmX + a YBq. dabit aa Wv = aLM N + 2a Ya Lmapq et a v - 2a LMN VV + aa L InmM = (2a Lmap G)
aupque
a pBqV
2aapZ
sid ha ipsi es conferri non potest identificari non pt. idem . si ficiet g
aeLmapque
a
si sit y = ax + ab) + sCa X + a C)  et ndro yt - 2ay, yy = - qu (a b + aC)
2ab
2ac
fit y r(yu - 4 ax.) = (ab + ac) V- 1. quod si livc cas esset raXt abtac = v
hac
fietet fgy = (ab +a C) 1- 1 et y = (abrnc 1 (ab tac) -1
raure
ilib
+aacC
2aabC