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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 254v, page id 00068201:0508
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C = O1 l - 2t6)
(() = O + l (1 - 20)  (1) = d + l0 (1 - 28)
O (07) = 0D + 10 (1 - 2) H + 1O (, - 13 +407
+1D (1 - 2()
- 2C
e) (0N) 03 - + lOC tOD + 1OF 2lOD 2t0 + (9 l0D)
+ lD = 215
OD) ∞D - (10 210r + 10 =10D (F4 107)
216)
+0
d(OD) = OdD + v10 + dod)
E d0 = 1 - 20 
)F21O
(CD) - Or = 10, 1- 20
(5) = D=pC- 2pOD d8 O, 18
(C)(D = OD + p C(= 2pO D) +BD(F p CF2 OD) - 4pOD( 1pO 140p
2POP(= 2pC)  2p9)
H
Bea + 83b + 84 abc + 85 ab cd + 86 abede + erc
(() = C) + P = 2BC)
Ergo (1)D) - OD = pD. 1 - 0
Hinc + 82 a + 83 ab + 84 abc + 85 abcd +  abcde  22 ab + 237 abc +2 4 abed +25 abede
(OD = OB:  D- 0D
Hinc 82 =9 83 -  84  13- 22 85 = 24 -23 +22 86 =25- 24 +23 -22
+
232 ab +, 83 abc +84 ab cd +, B5 abcde
jam supra 22a = 23 a b + 24 abc +25 abcd +26 abcde = ia - 2 ab + 4 ab, - 8 abd + 16 abedp
84+83 =23 85+84-4 ea
(8 = D, : p= C = 203
fit 2
82-0 83 =1
2. Br ab +2 63 abc + 2.84 abed + 2. 85 abcdC
23 = - = 24 = 4 -2 = 2 25 = -81+5 = - 2
84 = -3 85 = 213=5
22 =1 23 = -2 24 = 4 -2 = 4
3 =0 82 =0 83 =1 8+ = - 4 85 = 2+8 = 10
 2 =X
25 = -8 +8 =0
86 = 0 - 20 = -20
8 92 =0 83 +2. fr = 22 84 + 2. 83 = 23 55 + 2.94 = 24 56 + 2. 85 = 25
23 +2. 82 = -2 24+2 83 = +4 25+2. 84 - -8 26+2. 85 = +
83 - 23 = 22 +2 84 -24 = 25 - 4 85- 25 = 24 +8. 86-26 = 25
22 = 1
83 = 22+23+2 84 = 23+24 -4 85 = 24 + 25 + 8 86 = 25+ 26 - 16 87- 26+17 + 32
83 = 22
84 = 23 - 2. 22 85 = 24 -, 23 +4. 22 86 = 25 - 2. 24 + 4. 23 - 8. 22
Hos duos valores aequando fit
23 = -2 24 = - 2  + 4 = 2 25 = - 2. 23 + 4. 22
27 = - 2. 25 + 4. 24 - 8. 23 + 16. 22 = 32 28= 2. 26+ 4. 25 - 8. 24 +16. 23-23. 22 +64
+ 2. 27 = - 4. 25 + 8. 24 - 16.23 4 32. 22 = 64
popime paecedentis affectum signo hinas
in col. 2. Coefficiens in columna secunda est duplum summae coefficientium proxime praecedentium affectum signo
25 = - 2. 23 -2. 24
26 = - 2. 24 -2. 25
27 = - 2.25 - 2. 2
incolumn. I Coefficiens in columna prima est duplum coefficientis in toto
2.85 =  +16-26 Ergo 25 - 2314
26- 24 +25
285 = 116 +, 24 +25 -. 2. 82 -2. 83
pr .. 2. 84 - - 825
85 + 2. 84 = 24 = + 4 - 2. 83 Ergo 85 = + 4 - 2. 83 -2. 84
per b 2. 84 =- 8 + 23+ 24
8b + 2. 85 = 25 = d - 2.84 Erg 86 = - 8 - 2. 84 - 2. 85
87 = + 16 - 2. 85 - 2. 86
H . 1
82= 0
83= + 1
84 = - 2 - 2. 82 -283
85 = + 4 - 2. 84 -2. 84
86 = - 4
(6) (0) 27 = 2. 86- 52 0- b y. 940 + c y get + d y. 9r2
Ergo 28 = - 2 (26+27) seu D7 -. - 21) - 13
seu () = - 2CC)) - 20
seu Nota coefficiens in columna se Hinc 56 = X = = 27 - 16
+1. 28 = -2. 2+4. 25 - 8. 24 +15. 33 - 32. 22 +69
+ 129 4
22 =1 23F2=0 23 = -2 24 =  - 2. 22 +4 25 = - 2. 23 +4. 22 - 8 26 = - 2.24 +4 23. 8. 22 + 16  in casu yeX an
22 = 1
7 =