# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068049:0072
# Permalink to this reading: https://leibnizlegible.com/page/00068049:0072?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 36v, page id 00068049:0072
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 35r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068049&page=72
# Source image: https://digitale-sammlungen.gwlb.de/content/00068049/jpgs/default/00000072.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 68 lines, status machine
# Lines: 68 recognised, mean confidence 0.73
# 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.

ou
D= ayy +by + c3
OO = aa G + 241+ 2027.
x V yy+ 2lb ey +c
sit rurtu O0= Hi + n9 + nt gy + p  +44
quos duos ipsius OC identificando, fit
18 (5)
- podb et fiet 2n b - 2b = mp a = +h c=(+ bb = n: 2A bb = p: 
Ex aequ per 1 fit bb = + m3: 2h Et ex 4 per 2 fit bb = pp: 29. Quos duos valores
aequando sit  + m q = B(+) hB
+et +(+) 2h9_ + (+) mp: 4hq = nt seu 8 hhg. + m p = + (+) + hn q
Et exys sit et fit p: M= + (4) P: h. Et ex 6 fit n = + (+) 8hhqe + M p : 4 hq
(
( iam x = ey+ F,g et ponamus eet esse O = sec X + fX + g, fat -Y
fet CD = ee d + 5+  sit ,
2
uum
24
pC = ce ry + eer Hy+ Seerrf gy + 4 eer fy + ee 5 = ec bae
= yn +2ty at
frr. 425tyrF +f rrtt
nefer asrt
1496t
it s m
1692
+25r+2
+23
+ 4 g+
+
126 
Aliter sit AX = L LirVy+5y+F et fit eex et X = y + r Sy = inity
Sit C = L cex + feX + g
et fin 00 = eet eer a reerrsy + vemt yy
+ec 56.. + 2ue 5F y + eet
+ strr . +f25. +ft
+d
00
hhb = my + ny + p y + q
143
+ 5 3 + 25ty+ 1
seu
itique ut hoc formula ipsius C0 aequetur quadrato, debet esse +p h Lm seu p hh = M 9
rec 5F eer + 5 cer = 4 ct 5 L Herrreeses5 -(Aercet +5P+9
ergo habet S pure, et in valore ejus ab est Y. Si faciamus. + - 0. fiet 5 = + (+) (t Deg
Et n = - + e96 + 5 er _ jam reh q = + (+) 8tihque + mp
et fiit (1 errg, eg + ferr R = + (+) 3(CC r G + 2e (erD 5 f5
seu 205 + 25 rr9 = + (4) 8rg + 2ef
bec A = m eabb Z n b: rC cu pert fit C= n bb- V: m
1
Ex postremo ex termino ni, fiet
o
itaque habetur YV, seu esuer
O_- rruy etsy 152
posito coefficientes ingolvere X ut cuneue
F Qvia dy: dx = lmy + ny ete, :, P+qy + ryy, Mt, (semper selvi pd per meras quadrotuas ationales
sine si mo absit quaesita qua semper titer psse videtur. hunc oidemus an quadraturae irahorales, sed purat
um
ces uno pales onti paras seu ad dictam
en
2. ∞ vic ut liceat ex  1 - X exta
is ex tart tantum 2 stmpay. sost preite aquar
quadato, adnbit eoutem nova cum v siii minus poterit forte res ob Ct septrononibus; et spes et set fera di ett det
ona
Eadicem. Si in valore resiuse C X vel saltem ejus denonm
orquationes differentiales nihio miles possint redum
s Ex. g. do  = X.∞, - x. faciamus X
assumi prissunt indeter manto i  jus quodrato equari diti
Meue pr peciom mon. una per hafimas aneas sesti s a quid nont po  deterrum ale nm ylara Circ H Hy