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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 20v, page id 00068199:0040
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addx axayiut aadu dex: ys = y ady. ddy seu
e posito cy: cd  y. a seu day 7 d
ddx dx c0. + coco ddx = y ady adu iet dy adyus = dxdxco, conalu
Ergo
Co dx: 2 + coco x = itue: 3b seu 30 +61o dx
seu x + 2co dx 4 c = co + 2dy: 3. adedq
 Ax + a = 13co 4+ 2dy31. 13 est autem co- adus : y
15
e
go sit X + sady: y =) dy: B Y3a4: gy +2f): a. Et rla
redtuctus est calculus ad quadraturas
ca
5
u
fie nosse
l
Notandum nin autum
avonatur pro arbi hrio relatio
B
et
t
 esse ut
niter X, ax et adue
seit assunt sed ejus loco assimi posse
e eliam
delrationem inter et V: X d y:X, dd y: x vet
e
s
et pri y: x assumi posse armulam quam cumque com
X et ys et erelationem inter difereatios differenta es egus
e.
e
se
quositam ex 
tionem satam transformare ut preddatur tractabilis
e
1
s
Aliud inventum sd non aequi generate
ydy + X dx = y dx
sit yy+Xx -Z a2
dumamus yy + xx ese progressionis Acithmeticae,
l y dx =0 seu y ddx + Cy Ax = 0.
eam
res
Ergi
 - dx: dx id est S. yytxX
 sumantur progressionus Arithmeticae erunt ipsae dx
afet cy: y
siu  deut 1:y
 ipsis Y proportionales, et ut crescent dx, ila de crescent y
tollamus V sit q yy+  XX = aZ et y = saX - XX et dy = adZ- 2X Ap: 21 a
E
et fiet d95Y= 4a  xdx da e Cuatnxae tog ax log.
C
age uenez 25L Xx= log idam et hic patitum