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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 150r, page id 00068201:0299
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sed duo incommoda insunt, si determinatam quoque a sic explicemus
unum in ordinaria aequatione quod ita assurgi poteststo ultius quam
novae indetesmmate assurgent altius quam opes est quia
atque hoc bene procedit pro ordinariis, et nam es nam non ideo altrus
assurgitur u a novis indeterminatis, quam ante: quanquam id
in commodi insit, quod ita ncaremus data; nec omnia una sola aequatione
continentur; Alterum incommodum est pro aequationibus differentialibus
quod ita qui quod ibi da est o. ibaque licet vesimus sic procedere nova
tumen adhac obligatio aequatio subintelligenda est, scilicet non tantum -9++co-a
sed et -d8 +P + deo = 0.
Quod si in aq. differentrali faciamus du: dx = Z: a   habebimus
tres literas X, y, Z, pro quibus licebit substituere valores dictos
cuperinon curando quod paulo altius assurgitur
ecrper deme paria
reducere omnia ad homvexplota  faciendo X = X Z+ V, et y = qv: a. Et
et
adhibendo deinde  do
et +9dv+ dZ + r duedq et +  B Av + VsZ, Vav+ BdZ n
 rm
ptm
v+F+n
vtZ+K
aequatio, - 10. 20 X + 1. 20 X + 12. 20 X + 1. 20X etcop
maltiplicata per 30
2,2
10. 21
10. 22
1. 22
10. 23
comsddelur data per 10. 20 multplicale. id est
per o attpliclo
siet:
0=
9v+ A2 +h dv + BZ et
facta ex aliqua generali ducta
in generalem quaesilam
20X + 21X + 22 x et 
10, 20. 30 +15. 20. 30 X + 12. 20. 30 X H13 10. 30 X 1 19. 20.30 X et
10. 21.30 11. 21. 30
12. 21. 30
10. 22. 30 11. 22.30
10.23. 30
13, 21, 30
compasetur cum 8
12. 22. 50
11. 23130
10. 24f. 38
10.20. 30 + 10. 20. 31 X + 10.20. 32. X  + 10.20. 33. X+ 10. 2034X ete
ubi si 21 = 0 fint 10. 31 - 11. 30. gum scil. non assurgitur ultra X in producto
fiet: 10 = 10. 21. 30., 10.31 -11. 30, ubi si t pt 0 tunc vel 20 erit 0, vel 10. 31 H. 30
as
et posterire admisso fiet . 0, et
10. 20. 36 - 12, 20. 30 =10. 22.30, : 11. 30 = 10. 20, 31 = 11. 20.30,: 10.30
per pestantes. et antex fiat habebitur 22, 21, 20, ponendo semper proxime altiorem ut hic 23=0
ducenda semper linea, ut appareat quae aliae literae aequales nihilo
forta tamen prasat actu instituere divisiones, ita enm simul patet
d
perpenull. 20
per auter et ps habetitur
1 et 21
quia quolieates