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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 254r, page id 00068201:0507
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5e = 1 - 20
C = na + 12 ab + 13 abc + 1ct abed + etc 51 = 11 + 12 a + 13 ab + 14 ab C + etc
 Fiet 11 + 12a + 13 ab + r4 abc + 15 abcd + et ~ 1 - 2. 11 a  - 2 12 ab = 2. 13 abc - 2. 14 abcd - 2 etc.
Ergo 11 = 1 12 = - 2. 11 13 = - 2. 12 14 = - 2. 13 et ita porro. Unde statim fit
1 = 1 12 = - 2 13 = + 4 14 - -8 15 = - 16, et ita porri
207 = 2C -2 et +CD - 1 - s - 22
2(0() = (1) - (3
(DD - (3) = PC 91) - 2 9 (C) () (1) = (0) 2(0) ()
(9 += st _ 3) 8 = 3. 57 = (C) (3) = () D () O + OD
2(3(D) - 30D = (C) - 0 - (1) +) - () - 3 (7
 D = 2 22 ab + 23 abc + 24 abed + 25 abcde + etc
2 = g22 a + 23 ab + 24 abc + 25 abed + erc
Sit OD = 82 ab + 83 abc + 94 abed + etc.
erit (0) (D) = 82 (ab) + 83 (abd) + 84 (abcd) + etc
OD) = OD = P, 82 a + 83 ab + 84 abc+ etc (() -O = p, 1 - 2 + 4 ab B8abct erc
_(7) - Y = p 22 = 23a + 4 ab f25 abc + et C
+3
dabit
E, 8ra + 83ab + 84 abc + 85 abcd =, +1 - 2 a + 4 a b - g abc + 16 abcd
2- 2223 a - 24 ab 25 abc - 26 abcd
Et rursus 82 ab + 83 abc + 84 abe + 85 abede = a - 2 ab + 4 abe - d abed
- 22 a - 23 ab - 24 oc - 25 a bcd
- 8 -
Ex his duabus aequationibus omnia determinare, licebi:
283 A 24 284
sed hae duae aequationes dant idem. et non plus praestint
2 23
Ex prtore poster ore
1- 22 = 0 2. 82
∞) -9 = DC- 2pOD
quam
(3) = 9(0) - 29 (0))
2145 = + 16 = 26
una
(8)) = 3 + P0 - 2pOD + 9C + p9 - 2p 90 = 290D. - 2p 9C + p90B ((+ p C- 2p 
8) DpC - 2p O5
(∞) = (D) + 9(C) e 29 (03)
(∞D) = OD _, : p = C = 20D
fit 82 =1
=
ibede
83 = - 2 84 = 4+2CY
+2.
(2.1
36 8y - 12
27
-Epr+ 4p07
= 2 ab + 4 abc - 8 abed + 16 abede. OD + p3 = 2p O2
- 2. 8rab = 2. 83 ab. - 2. 8 Faled - 2. 85 abede
85 =
(1) () =
CCDApd - 2p0)
(+ Be = 2p
4y -
+ a)
=E
+ 2(y) = 42
seu (7)
+2 + 4)
et 1- 4y = 2
(t3 - 8y
et2, et 2- 8y seu ((2) y = 22
2
(2y) =
2 -2, 12
sit pinum 9 = 1 fiet ((y) = 2