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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 201v, page id 00068199:0402
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XB sa b+ CX) = sdx sceb + ex +25 x dx: ab + CX)
X
y = a4: x fit tyt dy = - aadx: XX et  (dydy + Ax dX) =
a dx (a + X+): XX sit dx : XX = -d 1: X
8
et sit aa: x = y fiet aa dx: XX = du et a +x = a + a
X1
et fit dx ((a + X) : XX = - dy (a: yy) (a + y)
XX (dx Va +XF: Xx = Sax ((a +X) + s, Xdx sid X s(a + X) : XX
f sdx Sa +X). X = (dx (a + X)OX +. (dx S dx 1a X) : X
+
() + XX: Ia + X
e
 S(a +X) : XX = a: XX sa LX
a: ++ +X: +X) sed posterioris
-1 (5
(a + X
summa pendet ex ce summa ipsius Y(a +X).
prioris
a
a
Ergo et summa
1 +2(xdx: Ya + X
Ha +X): XX = dx ((a +X): 1
-Idx (a + K): XX C + (XX dx Ma X
qu
XX Y(+ X) summari potest per curvam Hyperbilae
4
(a +X). 1
L XX: Nat X). Ergo
Si horum unum sumuratur ex curva Hyp. etiam alterum
(( +X) :XX = a : XX 1(a+ X)
Ergo 
4
4
 :x = 4 dx Ha X): XY + 5 +a 5 (dx  (2tX): X
ex ea summabitur
itaque posterior pendet ex qatatu carvae hy perbolicae extensione
a
B (a +X
recta
XX: M +X
= XX NaFX . 14 +X
quod relobetur tandem (10) in XXO A(+X
e
in
a
in in X N(a +X):,  n +X
Ga
4
A. + X et vel
14
et XX N(a +X
... +x fiet 4a dy Saa + ay:.. + Vay
sit XX = av fiet res reducetur ad d avdvadsaa + V):. + sav
sit  X = ay fiit dy ex X a +X
C1a. saa +XX: Laa + ax,  reducitur ad 
in numeratore C nomnalor
+ Vax + aX):, aa = ax
aa + XX: a + sax Hoc multiplicetur pe
per a - ax, firt  aVaa tXX: aa = ax