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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 176r, page id 00068198:0351
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sit y= -
Et
ydx =
Xy- fyax +(xdu t faxdy
AX, X XY, y
an
q=
aL, Z
primum d est et quodlibet dx est I, primum dus est
seu 2X2Y
primum dx est AIX, primum dq est 1Z1E = 2X2Y
CD seu XZ =D (Zdx + sxdzue + faxdze
seu ABCd=, IZIXBC3Z2F2ZIF1Z~D = szdx
do X
eeae
lie1CIF+ 2E2F+GC = (dxdi
ax = 1 dy=
jam erit
et ((Xdu = (1 =
 plu
seu DC
i
Xy -1 seu DG. ABHD - 1VX = ssER Z + DGin A.V
et saxdzue = = sX
sed ABHD est Xtd in D + dZ, seu X+I in (: +
Ergo ra
seu
X
X
y = 5y
ABCD, _ seu rectangulum ultimorum X et 
X
A1Z 3-1Z. V. D_DC 22.E1L = sxdzue
(seu ultimum rectangulum demto primo, eut
2dx + (xdque + sdxde.
primum X est A, - primum Z est
AB
fint y - (L
Ky - 1
S
s sa
X
( 1 = 1 =
X = DG
X
-
da
X+1.
s= + DG(+s =
Sd X
sed haec doctrina  summarum sumdralium necuratius
si
s
ila fieret X
constituenda
Generaliter si simul erescant X et Z, fit
T_ (aX)Ltaz
-
sult X + dx) (ult Z + dZ) (prim. X. prim. Z) = (∞ dx + (XdZ + (dxdZ
+
SXa
ubi semper dx et dz intelliguntur proxime sequentes X et Z
spee
refert quae progressio ipsarum, X et Z. Hinc posito Z esse propressio
nis Geimetricae et X Arithmericae habetur sX. IX. Hinc et similiter xess
quaero adhuc ((
bex - y XX - log. V et fe
xdxdy. 9 Ergo habetur su bux in cinealibus. ques haberetur
.X
ylus si petys
tAR
xsibt epau ax. Fgax, si habeatur spdy pay vlogu=
erog. Geoui torxug
1F
-
2one
2E.
2X
3X
AX
12
C