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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 237v, page id 00068196:0470
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et
Habemus ergo inventam quadintricis quadhaturam ex data quadra
tura Hyperbolae. Nec quicquam amplius in eo genere praestari
pote quia ea ad quadraturam figurae tangentruum reducio
habebitur si detur
saax dXCLC F
(da a 1 a
a dx + a de
(a tx 4
Ax a
S1 - X2
d Z
NI
a
H 1Z. dx 4 da
ata
X aa
X autiis casibus nonlicec
a dx ri
2 +) h
simus datur Negressus d
a sumis ad differen
tias, videnda est
carsa.
Ergo ad sit dxp do erit ar Z. Ergo Z1 a. Et a ZX ta faX
Ergo
atx + sxda + sad 1Zp a. Hnt
aulet eo casu signum deberc esse.
Actunte in Non
Vondum accurate in his calenlis detemrinato
2 dx + sx
ado
at a   +-
Xin
+fid + a 1 a. Ergo FB- et = p+
semper ilud inspiciendum an sul crescart an verum imo
crescente alterum de eorum quae in se invicem
ducuntur decrescat, denique an mod crescant modo
decrescan. Horsimel observato non amplius a signis
turbabimur
1- X
da
da 1. ada 
ata - a da
va LX
Nota sadx quaeritur pro areu quadratricis haberetu. cutor istius (a)
jam sidatur (a x, datur et a dx.
Datur autem adx per quadratumram eixloidis, datur ergo
e ade. Ergo datur et Saax quiau data figura
seu summa summadtum videntur dari diferentiae seu summas
in quo tamen cautione opus. Tentandi hoc
gratia tantum annitare volui.
60
ug a  m n. 0. P
pausepare
m. n. 0. p.
n
0 bc d
n a bc
m, ab
a da
vel necesse est esse a p
sy
Notu ( debet esse error
7 n
5 p partes uus
b
Ergo p0 a. b. c. d. e
quod non credo
si pro faa in sada scibres
q. (a). fiet q fdx hypetolae urea
Se
x
a x 
in culerto nam alius qui
9c
 n
habeo signorum rationem, quod tamen sudio se faci-
endum est
dx 
Est autem Catex petore
CEGEEH rX-qui (a
cujus diffiae: rux-gdus Hady +day sage
et rax- 9dys + Cattus + 4 a7
rs
aau
-15iy + sadque + sum pisaax
sector
tanu
Ies perb.
DnG0
ec
nquo
ex r
121
Es