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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 106r, page id 00068200:0213
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haveatur ab una parte V ab altera valor qui
rationalis aut irrationalis per
X. Babebitur primum
dus. adue ddius. et ita porro.  Cumque edem
rrationales recurvere soleant in his valoribus nam
sit
).
dy
C.
i de
dp
seu
X. erit du p) Z X du unit
3
et dyf, y  y
X dy
a
X + b
v- 1
1eydx
( X+ B
tifidxtigus dus 0dy
+
dy dy
b + eV + 2FX
c +ex + Egu
variis modisva riar possunt aequationes
gratia:
Z-1
DYIX. potest et sic exprimi
unde _ y dy Xdy
X
send - 1, X + X dy
ax
dy  Z X +b vX ax
dy
I V X di
bX + cy + dxy d  + fX + gY p7 v.
b dx+ cdus + exdus
multis
e
1
y 1I
2
exempe
=1 d dx
- 1
X dy. Ergo dy A7 X dx
m
ut ante
interea his variationibus multas obtinere possumus de quationes
ita faulius tollere terminos quos volumus idem puto
tiam posse fieri in aequatione ali qua rationali
afrecta,
ut y + b p X. ut erit 27 dy + bdy dx
seu y dx baque
aliter: Y. + bI . Ergo dus F, Xdes +Vy 2 dy
Ergo y p, - X dys + y dx
dy
1 1 - bg. Ergo yF y 
pure
celerum y invenire per
iurta
solem valorem e
2X du
dit bdu
finis
rationalem expressionem ipsiu X accedentibus solum 
dx. dy ddy. dddue exc. magni momenti est, ita enim Heabemus
novam expressionem puram finitam et generaliter