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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 91r, page id 00068200:0183
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Sed hoc non obstante problena esse planum ex ipsa hac investigatione nostra delegit
A
quod non patet ex Cartesiana. Patet emmi nihil aliud quam investigandam esse
+ uta. Adeo tantum opussit, ipsius puncti A. distantiam a vertice, et
ali
puacti L quaesiti it et ipsius CF a center data   ipsius AE abale, detur statum differentia
inter LM quaesitam seu et et ordinatam ex Hyperbo la ad Asymploton. Qua ipsa
antem ordin al dabituo quia dabitur abscissu, data diffeontra ineo AC et abscissem ad
centro. Unde intellisi potes problema reducendum opeartis (ombinatoriae
ad modum determinandi omnes casus possibiles singularum ejus conditionum, utiles atque
inutiles, unde denique utiles etigantur
 AB= X.  AE = a BC = c
B2 = 1+x. DC= BC =c
ACa P2 = SaX
Ego De= ca- = y. Ergo 3=
sa +X
et pro X posito aZ seu Z- x.i
et pro y posito aV, siu r= y fiet: 
a at =  
a a)
eq u
a seur= C
ataz
a +Z
seu posito a +Z = 5, fiet Y = c
seu  a. Locu rgo omnium  est Hyerbola
est auter s= a+ X. positaque X= a. in casu
putest B0
ipsum
Aperbolae contrum  Ergo Y- c
Ca = y
n  AD = a hoc loco BC- B5 = sa a- c
X AB
BE = sat
Ergo a sa tX = X Sa t X - XC
seu sat aux = -x (seu
a +X C a - 2 a+ + X = + Z
1 - e
X a
X
Ta tX
raa
Duet
a +
rate
Eg a sa 1∞ + CX = X va
X = AB a- y 1
-1
pro y sar
fet a a se q
vaz asar a
ergo saz= a- sar
seu aZ = a - 2 Par + ar
sed bevius quia 4 = =. erit X = a- y
et y = a - X.
a-y
ergo ca = a - X Ergo
1ae+X
c’a = a -2ax1 X
a +X
Jam utrumque ta
cubo de a - X = p3 = a
43asant arm Ergo aru am az iHar.
2
a
o
ac proinde arta 2aer-2arZ + a  2a7 a 
=a
seu Y 147 = a - sar et 7= 
satzai
Ergo sat Se
a +
satZ
aor ex
 san= 4. Ego A +
atr
art
= a
unde 4 pa = ca
ac sublata secundo termino
probeema fit planum.
seu sazt sia La
eda Say = a - J
seu 47+ e+2
Ergo Z.
+
en
at
1-
712
2
prcanie au
ti
= a.
let.
+-22
t
1