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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 71v, page id 00068207:0142
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Denique cum ipsa Praxis docuerit, non opus esse ut integrae Columnarum Signatura
operationibus applicentur, sufficit ea tantum excerpere quae in applicationem
veniunt, ut ita orcatur Schema vicarium non lin se lrerum sed ad usum sufficiens
ScnEMA ViCA RIUM.
D) =0-29
(O7) =D, 2CD
5 (66, =07- 200
6 (N) = 80 2076
Y (80D) =∞D -20V
1-0001. 16088
(0) - 4- 2GC
1o (8B)-8c 203G
M (8OV= D8 2024
16 (8S= 40D 20057
(158) 45 2078
Additae quoque sunt Minimae Dimensiones ut sciatur, verb. gr. quod 85C ante
Numerum rerum 13. id est ante Terdeniones non compareat, sed tancdui
Q valeat Nihilum _ sic in aliis Ratio est quia 2 = 8  = 4 d 0 - 1. Suma 113
a similis astimatio alcarum
signaturarum erit
L. Ubi autem primum occurrunt, ibi habent Coefficientem Unitatem
Et quoniam supra jam calculavimus septeniones Octeniones et Noveniones
jam quoque initialia ne desint complebomus
Bonatur Unio
Binio (() = -20, Fac. -2ab, (5) = ab per X
Qvinio (() = -20. Tac +16 abede
200 =- Eabe)  t rabed (0D) (. 20D rabu
(0 - - 8abc.
Linio 5(OD-- gabid
9 (7) =0354- 203624
Binio -2, a, OD.
Ternio +4 = 2. X.
Semo 02 50D- 10 abcd 
Hac gabed
() (. 203 - 45 abed) Facit Nihil( (∞)). (D- Tabid
.200- 48abud) io clbus
facit Habede. Quimo 80 = abcde per 8
553) - 580 100d Denio (0) - -70 ac. Mrabedes (31. 0 io abi ie
5. (35D9 -86D 2005
Unio  5
(Teppio CD - +abe per 8
Ternio (0) = - 20 fac + 4abe (3) 0 = - Eabe nam -20D ex Binionibus collegi nequit 
Qvaternio (C) - - 20 Fuc - habed (3)
Qvaternio 9 = abid per t.
∞ = 4 ab
2005=0 per ∞) Facit 110 abedef Senio C∞ (07 = - 6 abede) Facit
abed et
Colligantur itaque haec ordine in Tabellam; cujus i usum et continuatio
nem quantum licuerit trademus
usus Pnecieuus est pro Additione Dyadica excerpendo
Lontenio ab 12. -4. 1. 50 abicaetisisomosus
evinio + 16, 0. +10. -4 a. 8D,
Senio - 32. - 4. - 20. +10. -6. n. 80D.
Septenio +64 +8 +36. -20. +22. -6. A. &
9rabcdesuli tslint
aeb abidefchitbane
Octenio - 128. - 8. - 64. 434 - 64. +20, -8. 1. 2 as ens ta
Novenio 4256, 6. 4 120. - 48. +167. -48. 436. - 8 n
es
D. columnas O
+Sabiortghit
intlmuos tralideasum
ED iibisaledefahi Mibonnopus 6gabidet ghitibum
Deno. . 512. 416,- 240, +48. - 372. 490 - 120 436,- 10. a.
Undenio +1024. - 32. +496, 0. 4792 - 132. 4330. -120. +56. - 10. 807
Buodenio - 2048. +32 - 1024, 164, - 1584 +132 -792 4350. 232, +54, - 12
serdenio +4096. 0, +2080. 4560. +3904. 0. +1, 16. -792 +794 208, 
A128abeve fghitbum
IVdenio. 8192. - 64 - 4160,1352-54]8- 428 -3432 + 1718- 2380. 620 -364 +78 - 14
Vdenio 416384 +128 + 8256 +2704 +9544 + 1416 + 6436.343215426 1652+ 1366-364 1106 - 14
VIdenio .32768. -128 - 16384- 4(16 - 1584-3318.- 11456. + 6, (37. 16384 13144 - 4384 +136-576 + 104
Pro Additione igitur Dyadica, verbi gratia sex Notarum
columne simplices OD etr: usque ad abidet excespuntur  Notis propositis ea
hummae supponutur suae columnae
Ia addere poterimus  Notas etiam incognitas, quotcunque etiam
fuerint eadem terie qua Notas cognitas in scriptione Decadica addimus
Pro Continuatione revocentur omnia ad Numenos Combina
ordo quidam se
68 i ois
d
damu
Tabutarq ebque 84 00 164
2 10 10 22 20 35 36 56 54 78 78 106 104 136 136
8 0 20 20 64 48 10 120 232 208 364 364 516
comparatis Numeris coeficientibus
ipsorum 3, d, OD, 6, etc. inter se
et cum Tabula numerorum combi-
natoriorum eruta est compositur
communis ex combinatories
et sic quaevis binae e binae Columnae
uisdem Numeris utuntur, saltem
mutedo signa + e=, ut in impari
sigu hadem totum colligant in Pari au
temoulo signa alternatia ejisdeea
+bg abidetq
128 abidetus
425b abidetgiu
tcorgabia t
0aB abceesu
+40gb abede fghinen
g abcousopiitu
P276B abidet ghitionr
st habi defghiblina
4 10 22 369
5612 14 20 22 11t 3063
6 20 41 72 110 1 210
14 a 20 38 454
48 208510
40 B6 308
lies viophio lenus hatento
2. 10. 2d 35
5. G, 3 70. 126 40 = 3
6. 21. 56. 126. 253. 4b2
292. 1746. 3932
15. 495. 1287 3003 6435
20. 715. 2002. 5005. 11440.
11. 66. 286 1001. 3003, 8008. 19448-
24310, 46620
(3758. 92375. 184756.
8. 364. 1365. 4368. 12376,31824 75562, 167960. 352716. 70592
1. 455.1820 6188. 18564. 50388, 125970, 293930. 6460+6, 185 2704156.
602380. 8568. 27137,97520 203490. 497420. 1144056 2r120030010400600
15. 126. 690,3060 162829760. 116200. 310770. 8(, 190. 19
1876. 15504. 54264. 170542 490311 13075 3660.
e dd hos Numeros ita revocantur columme Oet D, e quidem hidem Numeris signa + alternando
tes = +9 +84 H26 +36. +1
5( = - 10. - 120. -252=120 -
102C - Yu. + 165 +462 + 330 + 5
2c46 ~I2. 220 _ 92. 99B. 220
+13. 4285 +287 +F116 +215 +76
14. - 359: 2502. 3432. 2002 - 35c
+32 = +11 = 165+ 462 -330
+1c. + 455. 13003., +6435 15005 41365 +105
18. - 3 40, +3  1410, 11448 - 430 - 560
26100. 2381460 d 426o 7 5E876 155 11952