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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 17
# Folio 3r, page id 00068035:0005
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demonstrativio.n generaliter pertingre licoat, eundo per exemplo particularia simpliciora.
a +3 b +2ab + B, 1 c + 2bd + d.
Ex duabus posterioribus aequationibus: a 
sive 27b) 8 (d3. et C 343 3ab
a C. et 3abp 2Cd unde 3ab +b
9b∞ 2cd
d adeoque C ad P. in triplicataratione id ad 3b.
27b3
=. Ergo cpj 2ad. et cp 3aeb. Ergo 4 p d , 9 a b. seu 4d7, 9b a
adeoque a a p. et =  8d3
sit  ap4.
2763
(a+3 a bx hab +b3(C72Cd + d 9aa bb, 9bb
ergo craatb+ 2a p9 eg res nonc + Ccg2a a fop7
possiatis sa p4
c78 eut 4⊓ d seu 6464. et 3 16ab D c8d. ergo
9. 16 a b
ex de 3b. et b. ponere possumus B1.
O8CD Ergo api 4d, id est D 9 d 14. et c ) 27d
(27)
ergo asi gei in loum ipsarum a. e c. in reliqua aequatine substituendo vntorem
si sit generaliter:
3.4 de N + b s d seu ad 4d + 363 p, 3d. seu d13627oassundum.
4) +Z a b) + 2, 21 a b + Z2. . a
-212
d)  vivat C d
132,3
et.
AB  X. A _BC, y.
DC H P.
B
A(B) HX+ c.
TBp, t.
ax  y3.
cor 3X A
B(8)17 co.
(Bt, y + I.
co. seu t
 H X
a 1 c
a radras  (y S yX + N
9r. A F 3) N +S. et pro  ponendo ut, fec A H 2y
3V p 4 y quod est absurdum.
fier: (∞ ( 3 X co 3XCO + Wo p (+Fy), 10y3 +10y N y  + A
a seu  =
seu tr 
9 Y N p 2YA + A3, seu 3y p4A 9y +, ∞ 3y+ A.
. seu 
bX
Eugns Y , 3X t. et t,, EX. et Cop
Ergo 5yi 13+ X. Ex pF. dF  c. Ergo
sit aequatio quae cunque
X
+ di
X 3 X ( (F 3X Cd
+ DX b + 2 Xcob + co b)
+dc
X+ bxy +C
5X
co. ercopi
3yH A
V + OY +f. pro X ponatur X+ C0, pro Y, Y + A, fier
V yA (+ N)
r1ye +Xe
pro y
.. cy
d. Unde patet regulam slusii tam esse facilem
demonstratu, quam Methodum Fermatii de maximis
et Minimis, imo ex ea statim resultare, cum absunt Asymptote
ax AbX + cX + d, d es + ey +55. DYX + hyX + l yX po sit pro X,  sit XNC.
HX
3x0
3. 3to
b. X
1 10 d
- 2X0. co
.10
red
5C3 140 Syx. RyX hy.
3a6. et cp 3ab p, 8d eii 16d 881 b+a
5bH 20
dei
fiet:
2763
3b1
ny iX
PV2Y
qy X3
eon ba
BPSX + hyx an
SXV
os
100
hy ha
ter ita
propset sit ytA
8yc
9X A
92C
13a
Du d7 30
- 1 1
autoqu et
Zd bpue a
 veq seu 
seu r vd
X1 2 H =. Ergo 2V
2X 1)
Nimirum