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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 2
# Folio 14v, page id 00068074:0028
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068074&page=28
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ax dx + a dy = 5du sihel A. ald C et ab gae ere
seu X: a + dy: dx = gy: aa sit X: a = (dz. 9 y2 a =) de
d
: V. dycdx = Z: 
fdz:v. sit
et ex aeg. 2 per 3 et gfl d: Z + Z: v
v = e
fiet dz.  4 de D2dzu: V dz: D Et 1:C + Vde: 1Z = 2(az: v unde rursus
de: e  - ae ddz: 47 = 2 dz: V
Ex et pro V ponendo
c
posito dde =0 et tollendo v ope aequ. 7. fiet de: ce - de ddZ: 3 = 2dzC:
X aer. 10
poterimus aliter tollere V ex aequ. 10 per aeq. B3 et fret
differentiando sit
: z: de  edv: de sed ita sublato de, prodit du. opus
est ad huc una aequatione nempe differentio differentiu. Scit daz- dede F
ed quia caque = de + edv
13
ex7
de: ce
(4)
= de ddz: dZ = 2 a
seu der 
2dedo + edao
ex de aequest diterentiandoit
edau + de de
emrissa e,
lip 69,7
il
de
substitulo in oeg. 9
c.N d
sit v:
Bd
 + _1-
- dv qu de
ex aeg. 13 toleendo e
7
ful
 hoc valore
gdo:  utazue = 2(dz: v
du ddv - do adZ
2
dt
o
az dv
sed difficultas est quod tolli debet tam v quam Z
de va
Ela
eo
Ex ag
et valere ipsius e
et
d2
per