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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folio 31v, page id 00068051:0062
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sit aequatio difserentialis Y. M. N dy = axdoe -atq dus
faciamus X = Z+ V et is= ZV fiet dx = de + dv et dy t Zd0 + v1
et moni des 4 Z e dz et X = Z + v 4 ZV et fiet
se
de +Z vaz + ZVdva p7d7 +22 vdr + 27V 12
aZ.Z + az 4v + avdz + avdo = aZvdv- azu d
gh du + y vdz 4v +212vd.
+∞dZ QV dv
2 Z
 d2
aZdque 4 a7do
a vdo ava
Dde ita abqualio ad curvam datam redum potest
homoe oplolos Nam si aequatio differentialis
ad
et lomoepptota necesse est e absolulum aequatione
etalem. Nam Orferentialis sufficit ad ducanda
curdam moremeo per pancta nrsi duas condirectine
normales seu antulu rectia viseces recta ab et
in pea sumus vtcicunque punctum c
poterit duci curva ajr
r ud
suaguatoria ope
qqvationis data quae necesserio utique erit
odem modo se habens merinque. ilac epu
absoluta inter Z et B necessario erit etia homoco
ptola. Tamtum
per M
it necesse
ryo res eo vunsta
et ut
srcinaria
p
Tolas lomoex plotas curias ex aminari
utrum nostrae aequadi satisfaciant