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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 11
# Folio 10v, page id 00068056:0020
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Nequasio
mocum
C
s
Exagen
du = a dx: Exr-aa Aeqquatio praxestanda est: sy dda atu: stax us -gu Xdsi d
3
C Ldx + du = TF + dx an: XK a4, = XV x dx: syp aa. y = a (ax. exx-aa
y rax +  =a)ax: ser aa xdx: Exr aa Ergo denique cx 69. 2. fiet
a
 ex: TXX - aa X dx CxX-aa = (Xdx XX - aa = A sdx. sxx aa = x p: xr aa
dx: Exx-aa vocemus  M fiet
MXM: (XM = (m = Ma posito dx-
seu (FM XM = sem sm - (Xm (M.
seu
SM XM = (XM sA + sXM M L XM M = SX M dM
sed a M = X X M. Ergo (XM = M. Ergo fit
MM - X M M= X Ma Male
dy = M-  dM = XM Y = fM - (X M
m
dy = 1: YXY - Aa
Comisso a dx ut constante.) Aequatio inventa
Py fax+ay: (saxraque= y- x dy: dx aequatio praestanda
ss
1
sit 1: 1XX - aa = M (= du y = SM Sn dM = +C:M SAX+y = XM
Ergo ex aeq. 2. fit
Sn XM: SXN = (n - XM. seu ((a XM = SXMsM = (XM XM
Ergo diferentiando sn xa  XMSM + (XM M - ( XMXM = sXMM.
 sin XM = X (M + suM XM XM (XMM. (XMX dm
+
seu pe ex. 8 per 6) -S(MXm: M = (M - Xm seu -((M XM = M Sm = XMM
et differentiando SM XM = (MM Y ((M dm seu) -sM No (= _MM + X M XM
fee 2M =XMuod falsum. itaque soorte peccatum est signis
debet esse dy 1: fXM = 1aM itaque non procedit
 ax + a du  Ax + dx a: XX aa = AX XX = dx aa + de a: XX -aa
Name hago fdx 4 du = LX X. SXK - aa sed (AxX. SxN-aa = Vxx-aa
 Aequatro efficienda sy saxa: (Tax tdue = y - Xdy: dx Aequalio inventa dy=ar. XX. aa
siet sx aecus X dy et adx: dus = Sx dy q frg etvu lifiet (Y Xd9 dy: adx = y - x dy: dx. co
seu fx sg du gydx = aX dy. Ergo Ex 3. 4. 2 fit sodx  a = XXX- aa. Ergo ex tet
n
henata
fiet Syxdus = y ExX aa - Xa adeoque Yx= dserentiando (y xy) = Ay sar. aa A(yR L. 1ac
adx
hoc est dy = adx: YXX -aq. Itaque res succedit
1.L Z