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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 26r, page id 00068049:0051
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O = a + b Ik + 
l + nTh
(9)C
Hoc nihul quic a , et b+ in conjungoposunt
t
s
aa +bbh + I + mmsi + 2aC + 2bmto  e sit 2
2abF 2lm F2a M = 2bl th.
sit a et fiet = Vaa +HI + 2al + bb + mm + 2b h
Ex per aeq. 3 per 5, 6,2, 8 fit
10. 20 XX + 10. 21 X + 11. 218
Hic egregiam quod h non ingre-
ditur in aequabem destructitiam 3.
30.40
10.40
20. 30
Ex 4 elegamus
90. 20
1. 20
11.30
3041
31. 40
10.41
11.40
20. 31
21. 30
1
31. 4)
11. 41
21.31
16A eY 30= - 10
(31) F 31.140 (10. 21)
seu 11+ 31, 20+40 =0
seu
10 20Y 50,40 F10. 40.
(57
2abF ulni fam Z ebl =0
sit a=, DX + 1
13
l= 30X+31
(11)
10.20+1040 -0 1 et 11. 21 + 11. 41 = 0
30.40+20. 30
10(3 - 30. 40+ 20.30
Ex, 1D 20+40
31. 41 21. 31
e
(4)
b cene
M24e + 9
dte 2150
10- = 30, vel 20=-40
5 21. q1 +21. 31 fit 11 = 5 - 31 vel 21 = -4)
Ex Ita 21441
18
et ex 16 eligamus 41= - 21
1.7 =10. 2D  (4 10.25, +20. 31
aLia + H1. 40
a = 10X + 11 b = 20X +21
19)
20)
et ex aequ. C12 fiet
=0 seu 11. 20 + 11.40  31.20+31.40. ergo
2
3+ = - 11 vel 2 40 = -20 eligamus 41= D -20 fiet ergo
l= = 10X +. 31
24)
m . - 20X - 21
et fiet deniqs
(. = +1 evanescente tam indeterminata, quam irtationali unde coleigo
q hoc non procedere.
Ergo retentis aeqqu. 1, 2, 3, fudutemus ae94. , 82 sia ac sit et Mltemus aliquid circa aeqq. 37,
si
21
am am + IB + ab + lm =0 sit ut ergo redeat ag. d. oportet facere n = b et B = m
+(67
en be ex aeg. 5,67 g fier 4 = 10X+ 11, b2 
0
m
 al Zb3CX + 31
40x+41
11
20X+21
na
et fiet  = 10 X + I1.  20X + 21 + 307+ 31a 40X + 4Y + _. 10X + 1I 40X + 41 + _ 30X + 31. 20X+21
uae aeq. di explicatim posita coincidit cum ag. 
ex quibus eligamus 40 = -20 et HI et 31 = -11
et prodibunt aegg. 10. H213, 19 15, 16.
quibus valoribus substitutisu
(20)
aequi 12. fiet +10. 21 4 10.41 4 30. 41 -20. 11 0 fit 10. 21+10. 4+ 1+ 30. 21 +30,41 =0 seu 10+30, 2141 =0
(19)
sed arc rursus, tramlibetus eligama res non procedit, nam vel a+l vel b+m siet =0
(F11. 20) ( 11. 29) (4 11. 40)
itaque faciamus a = 10x+H b
F21. 30
et m= 40X + 4 (Xt . qpeu a = C
 Et ex aeq. 3fiet 3q sit a- 
13
e
30s
el a
b-h
b=  - m-
a
17
+
200
20X +21, 30X+31
l= Q m= Z fit ab - fA1 Ini B ax sx
et fit sile ca - 10 b = hot c- 30d D m - 40)
100
e
300
400
qu
95
100,206 4 (1 m v 1. 100. 308
o= ab Lam + 1b+ Im. Ergo a + l, b+m 20. Nihil hinc ergo
a + b sehc 4 stB + sef O = a + bAm + c IIn + fAnn OO = aa + bbim +Gung Fmn
f- ab n  - ac: bm = -bcl: a a
aa celu aa = bb tmtrgo h. na
na fit cen- bbm b- MnC ex A. nf
CF ib = - a. n Cf.C = = a:M
gen
ocabe
20. 300
an +2ab sim + 2aCNin + 2aF omn
Lo
13od   289
2CFn.. 2bM..
 = 6
u
fib. ∞ ta.  bs:C ~an bas a
abdl. 
0
bc: f = a. l fit ff = aq: mn BcC = aa ln: bh = aa ilm.
sed ita bittm b-a. stm Etgo bdm =a, et idem et catlis quod jantile.
100214 10 A1 L
1. 2 11. 40 = 0
10. = 20.31