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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 162r, page id 00068198:0323
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Se
0= 20 du - 21  a 431 )  + 211 aye a24 9 hy Xay
vu
iliea
ilam
redis
Xyqy gray xdus
inid polus d= reste a uoris troi tsax etc.
rursus o= 60 ax +61 Xdx r71 y dp + 611X, ax 1 62 X dx + Y2Y dx er
Xily
62600t 1 6unen 4 60uom
 13s li
17 
y xsi xs
dy yax ray
P aeq. 1 compendio fit O dx + D du =0 ex aeque 2fit 6 dx + 8du 2o Unde sinutur valore, quan
titutum Cd, 2 6, D, qui postea repraesentati Ex 3 fit = dy: dx = O: D ex Esit. ay: ax = 6:8
Ay qut Ergo fit  04 265 = 0quae explicata et divisa per X-y dabit,
p ap e bu
Ex aequationibus) et 2, nontest significare datam
differentialem (ad homoeoptosin odactam) altera
deductam geremtem deductam. differentialem deducta
ex aequatione integrali generali homroeoptita, unde
ope aequationum 2 et 2 sollendo dy: dx ut inde prodest
aequatio DG- 8D=0 comparanda epit haec producta
cum aequade intergrali generali per arbitiarim formula
homoeoplotam) mulliplicata. at ita secri potert, utrum
data differentialius reduci possit ad cupvum Algeblaum
420.72 +kys+20.721 +X (470.73 +Xy (+Z0.731 + Y (42.74
+21. 611
731. 72
+211.71
+221.60
31.611
- 21. 61
321 a60
ii
+22.71
37+21. 72
+22.71
+29.50
20.62
vif +2. 72
+ 211. 72
+22.611
+221. 71
+23. 61
+231.60
20. 691
31.621
EII. 6C
32. 611
F321. 61
331. 60
+20. 24,
 
3, +2. 73
122.72
r2Z21
+24. 60
10. 64
=31. B2
OP = 2060+2B.HIX + 20. 6I y t2o EuXy t2O. 72X t20. 61y, 20.) EI Xyt20. SIxXy (73 XL 6 y+ V. BUKytron1Kyt 20. 6xG1 2074 S207y trobta y  2074 Yyreo E o   se Labe r16
etc et en Eeq
veni absX
exipa quod 
+08. f207(
ensfe F
421. 71
+22.60
32160
3. 60
poneurs 2, 3, F, nempers
volique p ted, pro y3; pro rys et eiu polentis +, pte a1 2 35e)
et pro  po 9 3 pro r ad ciypihuls 8) ad et
2 et egiaut ab xdden
dmp x quo
Termini, habertas signum +diffevunt ab habentibus
17 ponendo
Edemtis praefixis (2, 6, 3i1) rec
summa in eodem termino est eadem ut
in 20.72, 21,71, 22. 60 et semper cunti prodib 2.
F29. 60
uib
32.6
33. 60
nam talia aque
supponunt pro
2 et 3, vel
potest occurre e 31.62 nam  si 3 significat X, tunc 3I
 e
uterminii ejusdem sigui
seti bet
3. 242 et 7 item 3 et b indicant cummexaetitions requ
2et5 item 3 eg7 d0g
eandem ateram. Hinc ratio reddo potest combina
tionum exclusarum. Exempli sacia 21. 61 fro
XF y non possicul corre, nan xty prodrit ex xis diviso per
39. 60
31. 62
13460
quibus praefiguntur ere praevalent, sic in ry, patet ipsi
Xy - Xy
1b. 8. 4 2, 
Xy - X9 = Xy8. X-y - X yFry, 1-G
X- 9 = X + Xy +Xy, X- y
LG. r= yrrB. 7
X Gasirn
sed non potunt 2l. 61 prodire in X vel G. Bam  si 2 sigo fitat
func 6 significat y ergo prodicet xy, non e vel 
in y prodemule ex xy - X) diviso per X-y. Non
panificat X, et e2 significat X, ergo prodiret . non Xy velxy
 superest ut legem signi constituamms Et quidem si + illis demus quae
nata sunt ex O2 praedomdnante X ideo quia in O et e, X desigo atum
per 2 et 7, sequitur, illis conbinationibus praesigi +, in quibus numer
termino 31. 72 praefigi +, quia 72 ctinens 2, praevilet ipsi 31 continenti 1.
 Ex his praescitiin si pro
no seu ad A
seribi poterit desitercitum
d aristy niet