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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 112r, page id 00068196:0221
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dy: dx-
 10 + 1 ny + 127 + 138 etc. sit
aequatio generalis, ubi 10, 11, 12, 13, exprimantur per x ab x
dpemux destendent
sit data aequi. Semper nim quod notandum eo reduci
potest, si noliunque 10, 11, 12, erc. alias esse quam rationales exX
sit jam aequatio data quae se
dy: dx  20 + 21 y + 22 y +23y=, 3049919 435G etc
a
ubi 20, 2) et C, 3a 30, 3t etc. sint etiam dependentes 
ob X; sed datae, inam equando1 et E, fiet.
B 3010 4 3 y + 32. 10y +3310Y 34 10 Jam squando letr
+ 30H t5F. 1Y 437. 1 F33. 1
+ 10 + 1) y + 12 9 23DR 31 12 3212
= 20  21
= 22
+ 13 1 etc 2L0
= 23
fiet
curus differe
cujus differentialis erit
(4
d10 dx + a y dx + d1 a de etc tudys + 122ydy + 133yd
=d20 dx - +21 
= d22
sO -2 = 22.
ubi pro, dus substituendo valorem ex eq. 2. fiet
-23c
11. 20 + 12. 20. 29a+ 13. 20. 3y7 + 14. 20. 4y + 15. 20.5y
=21 e = 22
ut
dio
= 23
C24 = 25
+ 11 29. y + 12 21. 29 4 13 21. 3y (+14. 21. 4y
21
e
d2i
= 22
= 23
tumn
l1 22. 1, + 12, 22. 2y +13 22357
21
4 a12
d22
22
eeng
+11. 23 y +1223, 2G
21
+ d 13
= 27
4 11, 24. y
++ utum
a
4
iiniaa
= d2z
d24
video autem non posse altique iri in aeq. 2 quam in aeg. 1
nam si in aeg. 1 altissiau terminus sit 13, et in aeq.  sit solum 22, sl
13. 22.3=0. quod Ergo et 13=0
fit ergo 12=22 et di2 = d22
et fit ve 14   sed itau video similiter oriri H =21 et ita porro it
Unde colligunus obiter non posse ad egudem curvamL
duas dan et 2 similes vel ejusdem ve diversi ccadus
u non sequibur remeo ut attollatur posterior multi
plitando pper allitrariam 40+ 417
e
3
s
e