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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 11r, page id 00068199:0021
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e
er
Mt
MMX n
E
s
M dx + XdiA dy ) Ergo Max tdq = dy
Max +xam = ndy + Y du seu du = y du + max + xdm
s
sit aequatio data dys = fy + pdx sit  log (1:1) = sedx
posita n constente sit Cg= meh veirgo si ia sit
sit n=
_ m+ r s + gy +dy = 8 Fiat n + ny =0
it differentiando dm + adg. dn y + ady = 0
ergo am + du y + dy =0 sit dn = 9 et n =
et dm: a = f Ergo M = (f bg e de. Ergo
si
tandem y = - M: n - -
60.
f bd dx
fuistet dati f +gy +hilus = 0 fi et y= -
Et hinc
baa s
bd
X
t
aequatio data -C +ga + hdy + kgy + Zydu
fiat e = f+  et devellatur aequatio in dua
f4gy +ha, et tel 8+K9y + 2 ydy 20
tnamus dar y= -+
9y=
sunt, 9
D.h
l
R: C,  B dx
t
ax
et f+8 = e
h, K, C datae, f et  quaesitae
2t
29. h qu (= bd
ett.
S
h bd
8 = ld (B
1
t
-2 qu ((
h
= s( bk. dx)
h
bd do1) = e-
compendie ergo bE: (2gh vocetur  et bd: Quocobora
it C- f =  = l d (P qu S(f9dx))
= l dp qu ((59dX) +2lp fq s f9dx
Si k:l = ig: h aequaratur constanti, sieret ap- o
et e C
L
 2lp45 2pu = s fgax
= Sfgax=
24)
3
un
seu B - V = 554dx sea fdB - βdf = f qdX
se esfet constans a
fiet aBd7 = ff qax 
e
So seu posito H
dB = 2
seu db Sat = ff gdx fet
C
si dB
du a)dx
a
esset constans, itam B foret constans et daretur
colatio