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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 255v, page id 00068201:0510
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D 1-4 1 10 10 =  12 - 26
sgr (9
O= 256 (55)12 +128(165)13+64(339)14 + 32 (4) 15 416(462)16. + 8 (370)17 +4 (65) 8. + 2(55)19 + 1.(11, ) 20 + 1. 21
 54. 12 = - 128. 54. 13 + 128. 16b. 13 = ((128 (112). 13 = , 32. 1L. 1B = - 32. 112. 4. 14 -32, 112. 1. 15
32. 112. 4. 14 = -64. 224. 14 addatur 64. 329. 14 in ipso valore fit 64. 105. 14 = 8() 10514 -- 8. 105 (2. 15+6. 16 +1. 17)
ubi est - 8. 105. 12. 15, cui addatur. 32. 112. 15 fit - 32. 427. 15. Et cum proximo -3c 7 15. 32. 427. 15 - 8. 105.6.1b - 8. 105. 1.17. Huic
(abE
315 addatur +32. 463. 15 ex ipsu atore fit 32. 36. 15 - 8. 105. 6. 16 -8. 105. 1. 17. Explicetur 15, fit 32. 36. 15 = 16.72. 15. 
 et fit 72 ab. 15 = - 72 (32. 1b + 24. 17+8. 18 + 1. 19) sen quod addendo ad - 8. 105 (5. 16. + 1. 17) filt - 144 (16. + 35) 16-74 94 1)17
72 (3. 18 + 1. 19) seu 14. s 16 = 16. 9. 51. 16 - 8. 321. 17- 4. 144. 18 - 2. 36.19
16 14 Cui addatur desiduum quationis
51 35
107 459
du +961.
Fiet
+16. 461. 16 +8. 399. 17 +4. 154. 18 +2. 56. 19 +,10. 20 + 1. 21.
+ 32. 16 +80. 17 + 80. 18 140. 19 + 10. 20+21
O a. H. p, utai cofiientem B +, Pi a PiB. li Ci + P. Pr poripur P  tetc.
o= 
3 + (.92
95 4.94 + 9. 93
197 Ligb
0 = 1191
1. 2. 3. 4. 5
0 = 11. 93 +2. 1.92 + 4. 
O = 1. 1. 95 + 2. 2.94 + 4. 1. 93
9b = - 2.
0 = 11. 94, + 2. 3.9b +4. 9.95 + 8. 1. 94
0 = 11. 99 + 2. 4. 98 + 4. 6. 97 + 8. 4. 8b +16. 1. 95
0 = 1. 1. 9. 11 + 2. 5. 950 + 4. 18. 99-+ 8. 10. 98 + 16. 5.97 +32. 1.96
sit C 97 +. 95.  4- 94. 195 + 494 - 2. 1. 4. 1. 92 seu. 95 = - 4  F 2. 2 94 + 4. 1. 2. 1. 92
199 498
1. 91 9. 9u
97 = 2.396 + 4. 3. 2. 294-4. 3 4. 1. 2 +92 seu 97- -696 + 4094 - 96. 92
95 = - 4. 94 - 4. 93 = D - 2. 94 - 2.93 Ergo 95 - 0 in D
6.
8. 1.
et 34 = 1 35 = - 4 36 = 4. 5 = v 37 - - 4. 36
310 + 1. 2. 3. 4
1.2
1. 2. 3
I.  35- - 7 42 -
37 = - 1. 2. 3. A
3. 3- +. 3. 2 -+1 35 =-
34 = r 1. 2. 3
de-
38= , 4. 5. 6. 7 - 1
 3I = 4. 3. 6.7. 8. 9. 10
. 2. 3
1. 2. 3. 4. 5
4. 4 - 1. 4 - 2 - - 4
36- +
8. 9. 10
1. 2.3
1. 2.3
39- 4. 5. 6. 7.8,8
p. 2. 3. 4
8. 8. 1. 8. 2 = 8. 9- 1. 8.2.8.3. 8- 4. 8- 5. 8-6 = + 70 - 8
6. B- 1. b -2 = 1. 2. 3. 4.5. 6. 7
1. 2. 3
6. 6 -1. 6 - 2-- 20
36 = 5. 5- 1. 5u 2 = + 10, 37 = - 1. 2. 3
1. 2.3
7. 7- 1. 7-2. 7-3. 7-47-5.7-6 - 35+1
1. 2.3
P. 3. 4
c. S.3-+10
e
39 =
2.3
X0 X- 14X. 2
3γ = +, - 1. 2. 3
1.2. 3, 4. 5. 6, 7.
X. X - 1. .. Y-6.+
1. 2... 7
ubi = est L in castu X
X. X - 1 . . X- 14 X. X- 1  X- 18 X. X
1.2.. 15
19
XHI. X. X -1. . X 13, etc
lationem invaniendi inter numerum constantem opsorum 3X, 3XH, 3Xt
3XF = +, XH. X. X - 1 .. .R 741. X. X- 1. , X YI. X. x -1. . X- 9-
Et ita habetur expressio generalis pro 6
1. 2-.
pro D, fiet  2 22-   23-
25 4 + 4. 4. 1. 4-2 = 0 36 = +.
1. 2. 3.-. 15
24 - + 2. X  +3 - 3.3, 1. 3-7 = +2
∞5.5- 1. 5-2 +
1.213. 4. 5
Et generulitar 2x = 2 XH = f, X = X. X- 1. X - 2, X. X. L. X - 2. X +3. X. 4
po
.
.2. 3
1. 2. 3
X. X -1.. X -6 + etc
1. 2.. 7
Columnae numerus 2, Et 2da, dtia, ita etc. signifieltur per y; locus nea 
1. 2.
paris
J. 2... 23
ubi membra evanescunt cum X est minor quam ultinus in numeratoremembri subtrahendus
X. X - 1 .- - X-10
1. 2... 11
1. 2.. - 11
1. 2. 3
IX 2 eut 4. habet X = 2 - 1 - 8
pro comua e codtens vinionum, et A prigum Ex habebit X = 22 in 6 primu coefficiens est quaterniorum,
octonlionum
us
pro Z fet 4X = +. XC. XCX. X- 1. x -( - 2) X. X - 1. ~.. X (~C) r. X 1.. X (=
in D primum
seu primum X, habebit X = 2 = 4
1.2.. (24 1 -1) 1. 2.. (3-1
+ 1.2.. (2-1)
R yari = +, X. X. Ia- (2 - 2)a X. X - C.Z. B - 2) X. X - 1 u. X. B 2) X. X. 1 . ,. X- ( - 1)
atque ita tandem habobitur expressio generalis pro columna y
1. 2... (3 r1 - 1)
1.2... (27 - 1)
1. 2-. (27-1 - 1)
102... (2)12 - 1)
ubi  est + in casu X imparis, et F est - in casu X paris
= 2. 5
2 172