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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 64r, page id 00068198:0127
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o sed set aliud exemplum
patet reni iterum fint fieri
dxsddx: dx = de dx + dvdv, : dx = deo
log. ex constantem, eaque ratione
in nullum in subdifferentiando oriri in commodum. Sed si faciami
sit AX sddx: dx = dx + dudv: dx _ = dx + deo seu dudv: dx = ac
lint tac dax + ddq a dax sdux: dx = dax seu dex - 0..
s x (dlx: dx  dx dax: ddv + dv et  dx ddx: ddv = deo, fiet
cx + ddx sadx: dx = ddes et sddx: du = dav: dex = 1 = (4) per 1, aax illo
+ du: dx. ubi pro ddq: ddo substituamue valorem ex aequ. 2, inet
 dy: deo - 1 = dco: dy +dv:dx. et differentiando dex: deo
a ddydeo: dxdu + dx ddv - dodax,: dxdx seu adv: dax = exx: deo
au +dco: dx 4 dv: dx a = dx: deo, sed hoc fo sed ita freret
dv = - deo et dx = da et dpdado = Ldx. sed hinc oritur
burdum. in equiefit Ax = -de +dx, quod absurdu. sat petendum
dy sdax: dx = det ut LX Rv.  + dx dudx 2 dx sddx: d =
s
deo  du dv.: dx
ss
fiet dax + ddx sddx: dx = sd x R+ D: dx +
dx Cdax: du = ax (ret. 1) dv:gt dx (rel. 2) do:
esit + vel 2 x. do = deo et fiet ddx + ddx Sdaz: d3 = ddX rel1) +
+ dx d (dv: dx)
1
(vet 1)
Fdxado = dodpX, iAXdx) d
reddondae tractabille per valores
M+ a nn + ea
ubi Sintegros, ut yia = a
 1+ a + et
Ex sddx: dx = deo + dx (rel. +) dv do: dx et du- per ibisi n
a
laitu mpul
et deo =(el) ddv: ddx et idco = dx (ret) (dB: dx; ddv: ddx) hiiri scor
 et duc ddx + dx Sddx: dx = ddx rel dv:dx) + dx dedap-duddx d rel (d v.aX
d
axax
2et J. Idx: dx= (ret (d. 0: dxs 1 + dax d rel Cdv: dx) = (V: fx) d vel (dv: dx)
(5 4c: dx + (rel(Aviax, et per 2 sit ddv dax  pet (ler) (dv:  
dax
+ (let) (lv. d; de: ded
s
exa relilv. dx)
=deo x et dd  dax + ddx ler + AX: o) + ter A vides) a ler et
-
Ergo per 2 vel 5 fint ex 5, aulex
-ddv d vel - Ax lxddv - Lvddx)  d alvidx) 0
unde tollendo dax
Llv: dex sHtCqua ore oq. 1. fieret aequatio ideutica quod
ax luid axa
y + dx 
aa
et sit
aax
dxopiaq d siet dilus 3) ddx Xxaa Trapdue : aa 12Xdxdx :aa
sit
dy deo + ex Xx: aa et ex 2, fiet g. a= Sdcoidu seu dy: a
lax ddyu
non est in potestite.
ded aux: cocx ita ope aequs. 2 4 C habebmm, aeres in qua solum ex ay dem
siecilis calcubus imclituendus pro ir ubi assumtro
et
 ded
artimeria valoris ippius, deo suctadit
+ ita vitend
Helationes
o
di