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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 380v, page id 00068196:0756
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a
ax + a.
Comparatio diversarum ejusdem Hyperbolae parerum num dsse differentia
int
sas
=y. Ergo a =ytax + ay. Ego a = ay = y lax. Et a tay -2a y -y ax
sive a + ay - 2ay = yX seu a + a - 2a = X.
. 2aX -X - s
2aX -X - a = y -a.
vaxAa
y
x = 2.-
3
s
2a - X 2aX -X
a
2
1 Ergo Y + 2aX =X 2
ysax +ay.
ve
a
2aK - X
2
A-ay= ytax.
V
Ergo = X +a = Sy a a + a 2ay y a X. Ergo ∞ = a +a - ra
a
~
e
CX = Sy-a, seu X + a = y seu X = Y- a. sed hoc impossibiles N, quia
non potest dici
Ergosint X LaX
a
a
recesse  enim
esse ot sognino em radiasn fa t oesrili non corit
esse nihilo minorem, sed non ideo negligendae inc figurae magniaria
= y. Ergo a = y. Ergo a = y  Ad divisores per binomon ergo
utendum est
V2
ax
fractionibus Hyperbobeides, non tantum parabolocides darotibus
sax
a
a + b
lle à- 1
A
sax + a
a
a + b
a
ab +b
Item
a
ab +b
v
u
a
ab t - (2
a (a) a
+
abub
ab 
ab +b ab lb) ab+b abeb
-
P
v
v
abab
sa
a
2
F ab +b
a rb)
et. Mirum
a
a3
a
o +
e ax +at ta Xa s ax sax
De
etc
Horum summa mplemento est ipsis summae ipsorum:  + a + 2 - x.
sax
Hinc jam oritur memorabilis quaedam comparatio divet sarium Huperbolae
ejusdem partium, eum differentia inter eas videa: 2a et a
videatur quadam summa ejusmodi infinita ex hiberi
KaX=X
y. Ergo Y-
2aX - X