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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 2
# Folio 10r, page id 00068047:0019
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fit
Ex 6g. 1, 2, 3, datur 6y (4) oe sine parumetio, in qua X y v, Z, dx dus
ex 59. 2 daturae fit, aeque (e sine paraemetro, in qua X, Y, _  ax, dy dogu
exaeq3 fil aeq. (6+ sine paramelro, in qua X, y E
Si  Et simlise
dx dy dy.
et ex oy. 2. et 3. fit aeg11. sine parametro, in qua
Xy
ex aeg. Iet 2. fit aeq. (8) sine parametro in qua X
v
v
postrem
Ex 5g.
V, D, dx Ly. poset similiter
alia fieri ex aeg. 1 et 3, sed hoc jam ovilualiter habetur quia confulimus
C9. 4 et 2, et et 4 ileu 2 et 3. ita aequationes
a
15, 6
V
s
etens
as
tollamus oia sande eo res redibert
us
e, dq dv, et fortasse supersit ad huc
ifferentio diffeentaplem et quia res omnis reducitur ad z. V
dZ:dx du: dx 
sine parame tro habem
7.B. Quanqua suspicer aequadem d esse supervacuam seu
nihil dare nori. In quibus
 habeatur X
s si plncet, quaecamus sis
ex constantem, et nihil impediet
summadem.  si sit Z. V + 1 = dZ: dx + dv: dx
L. V = C fit de = F vdz - Z dv; : vV =) dz: v - edv. v jam et quia V = 2. C, fier
de = edque. Z - ce  seu de: ee seu de V - dy - edv jam dy = de e + +y e
fil de = dv. e: v + dx e = edv: v seu de-sx e
e
0: ebC -1 = dv: v
quod si e: e-1 sit talis ut possit haberi per solam X res itidem redacta
erit ad quadratur asi
V = e de = vaz - Zdv,: vo = _t dz: v = Z dv: vn = d7: v - e dv: V = de
jam dque = dv e 1Z: dp = C. seu dz = dve. ergo de = dv C: V - C dv: v
seu de C= C = dv: V. Idem
tunc etiim res reducta est ad quadr
quadaturas denmes si d do datutex
tures Adpsa si si esset sit dZ = _ dv  dv m. ergo fit
des u se m- e = dv: v., itaque res reducitur ad quadvituras
sed huc alio modo ncempe non tantu cum m datur per e seu cum in =C
e. , seu cum n seu dy. dn = e. v + C
sed et cum m- e
itaque si dz: de - Z. V = Z. V in v
res etin reducta est ad quadraturas
si dy. du dt
detur ex
11
reducitur diffe
rentialis ad