# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068199:0356
# Permalink to this reading: https://leibnizlegible.com/page/00068199:0356?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 178v, page id 00068199:0356
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=356
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000356.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 76 lines, status machine
# Lines: 76 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.

addx = xxdy + yydy
sit X: a = C 1ost 1 +1DI9F 1 20 org +X
X = 2. aelussio Glae y = at (ast H) v
 X: a = 0: 8 et y: a = D: 8. posito O et 3 et Y esse formatus ex Z, et V
rationaliter integre utrunque  et fiet d ax. a =  d0 - OdZ: yx et
dy: a = f dD - D dP: fE et fiet dx: dy =  dC - C d4,:, d D - Dd8 t
XX: aa = ( O: PZ et yy: aa = DD : YB..
Ergo denique fiet
8d0 - 1) dg: t d~- Dd4 = d0 + DD: YY
sitae , et ubi  quaecunque formula ubi x et inter se servant lees homoxneo
rum assurgens ad _e et C = b4 (= a _ + Ge - 4) et D = d Cg +C- Y,
dZ = a d (g X) et do m  dO = b4 d(= 2) du = er d (r)
On
b d (n 2) - b e. 9()  e.n) - (4 pe 9) dg en,
q
et lit9. (a  C
sr 6 () pem f
4 = (29 (2e-294
unqu.
a
2n 1 2e- 2n
en qAspet)
 = 2p ean d (perg) = ce 4 d (ip ernu = X
sea ( Ca) ep. K prdet
Eadem et
me
it ft
4:
lita fint
Forta Sutius erat ad universalitatum
Srd
2-q
s recta Prectaic
 Edeiel
pergs
uti utile est quod a in uno latere
aequationis evanescit, ita enim in
altero ailiter ad hiberi p
sit  d( 1) =  2d (pC
a
tog dper. te 
(= FP- 9 pe n. D. L
Batg  d ((e 2) que
t
d(∞C.- qe A (p)-
et fiet denique bE = b2 c. 4 (AC 2.  = A(q e n))
Ge em
unumquamque terminum ut C componere ex mibus, ffiat 0- b. + c  + p5 9 9 2. 7 (p Cem.t- + p en) et na inteterm
natae hic srba
sit
tl
1
et pa
buut legem
homogenecrum
Vdu + bdZ = adv. sit v =  10+ uxtuy
Ergo fiet
palet vocca b inutile esse
30+31X +41y + 3L XX + tgy +52 xy
et  P. Z=  3dX +2. 32Xdx L 52Xdu
4 dy 2 42y dy sc yx
30+31X + 41y +32 XX + 9ryy +82 xy
16FHX + 1S) adu +2. 92xdr + si xdu = a (udx tadu) (30 11 tu Xx +sipus) sed ita rursus
ts gryy
1d+lX +EG,  2. 4ydy szydx
non prodeunt nisi arbitrariae q
video me in praecedenti gestrictius egise quam debebam, nam formula ex duabus lileris X et
y composita non semper nspi fieri pottest ex simplicibus in vicem ductis. Ergo resumamus
et fiat  10 +MXF ay + B 12x + 22yy +32Xy, cujus differentia est 11 ex + 21dy + 2. 12Xdx + 2. 22 yly + 32 xdy + 32 ydx
ub facere poterimus 11. ax + 21 dy +2. 12 Xdx +2. 229 dy +32 xdy +32 ydx = Sedx tody
Suk 50+ Six+61 
10 + ux + 21y +12 X + 22y 4+32 Xy
sed rursus tantum sprodeunt
arbilaariae novem
imo dene vix
quide