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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4
# Folio 19r, page id 00068022:0037
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Hyperbola spatium FCBG duplet, fiet.
dimidietur
1t
8 15 24 35 48 63 80 gy 120 143)
Sr
6
50.
0
169
3
195 en Y
195 erc F
5)
addatur
auferatur: 1
fiet:
+
-.
120
+5 - = + 
- 13 + L = + 1 2 - 
11
13
15 C. 28
45
+  = h0() fatio FCBG
L etc B quadranti.
5 + 8 = 1 etc. sed nihil inde
28
X == + 2 2 +
quae senes poinde pendet ex punctis
et. c si addatur circuleri et Hyperbolica
sed omnium optima auferendi ratio haec videtur:
-
+
15
- 1
auferatur 1 - 1 4 1 - 
- 2
aufeatu tet..
Ab
2
+30
Jam 1 = 1 +.
C
=
+ 1
5 +
1
10 12
0
+ 5 - 4
12
+
132
Ergoi semiciralus = L -1
sive semi circulus
- L
20
e
12 + 2
13
14
enc
- 1 + 1
2
Ergo Rccolligendo te sput. FCBG, 
Et quad rans  spat  CBG.
n
Unde sequitur
12
2
es
- 3
~
30
15
D 1E)
(+ c
15
+ 1
su
17
-
iu1 Quadranti
 - 1 dimidio suntur
+ = -
in
EOH FCBG
erc
8 gn
6
erc
30 56 =g0H , +Z - 1
 +1s- +c
(4, 2,
12
30 X90
302 155) er.
50
et quadrantei 
er
duplo Hujus
circulum excedere differentiam quadrantis a rad spatio dicto, dploduplicata serre:
2
2
3o
90
2
semicirculum esse aequari. dctrip  disferentiae su dimidte spatii Hyperboloci
quud
o
+
10
1l
sevu
C8
t70
dranti
quartae parti
spatip FC13G
opio
6
palu
(6)
56 72 90 no
et L
56 132 sit minutum. del -
Esta. Similire eS. differentia dicte D, jeries 2. 3 d Y_L.
Ergo 3D  + 2M,, D + 2t. Ego D  M LL- M. quae calculo
e
protatio est elegm