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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
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pag. 9. Tabula continaata sotum usque ad cd. Hin. 
3. X3. XV.
5 X4 XV. X
ua 6.
to generalis tentiata
pro x. y Z. c
sat additraris instructos prodire +2+3++5F +9 +11 +15+ 18 +22
quindecimum
Et ad aequa
+1...... id est totide
6X. Xy. RG. Xy. XCD. yZ tionem oper simllem multiplicundum potre
9. XB Xty. XZ. XY. XC. AGZ. y. Z. GGco quad anteoflnum pero adhnc, quia et maximum terminum arbitraria iistsine
licet. Denique ad multiplicandam aequ. 10. per gebis agium pro
1X? X y. XZ. XV. X. X 1Z. X9. X. XyCo. yZ. formulam Tarbitrariam usquad undecimum gradum inclusive proditi
vunt Arbivariae literae 2tht+ S+B+GutSi
.Z
Ergo summa omnium
V. y2y. Zc.
S 2 2a
33 X12
22 45. X
V. +213. b
1D X
181 10 37. X
eX
21) 43 414
22 _
1b
CE
nde putet formas tollendas
esse et 276. tollendas
omnes praeter has quatuortres:
184
2
b
 a. ab. abE tollendae ergo erugt 377.
aut certe
utum
Quoniam autem plures quam lops Elbemus arbitrarias
hini utique patet cuius ex formis. X. X. y. X3. Xy. 9. erc.
posse ascribi arbitra tiam, ac poinde tolli etiam posse
quamvis terminos inutiles.
alerum opus est adhuc ut possimus explicare terminos omnes
ut: N. X. X3. erc. y XI. Ny ore per formuu formas ab a. b. c.
inq eum finem habenda est Tabula in promtu. Eam operae pretium erit calculare
saltem usque ad X inclusive. Quin imo spes est compendium etiam esse
proditurum pro toto aliquo gradud, ut pro toto gradi N V. et pro toto
gradu X. Xy. 7. statum exprimerndo sime calculo per formas ab a. b. c. deu
Etiam pro destructione neculiare se dabit compendium. Denique et pro destrnctionibus
quia omnes termini omnium gradiuum destrumctur praeter anos sata in summa et
ex his unum in summ. Et ores reducetur ad investigationem hujgsmodi aequa
tionum resolvendarum: CC C 1l + 2 m + 3n. . + 4. aequ. 0.
EAl +Dn +Xn, aequ. 0. Gl + jom + 10n + 12 aequ. 0 qutur
quaeritur l.
m. n. fii: laequ 84 - 2m 2n a8 -bu 7
aequ12  tom- en scibatur 15, 9. l + 21 5,9 m + 3,5, 9n + 4, 9, 9. aqu. 0.
1,5, 9 l =+ 1, 6, 9 m + 1, 7, 9,n. = 1, 8, 9. aequ. 0.
= 1, 5, l + 1, 5, 10m + 1, 5, 11 n + 1, 5, 12. Erg aequ. 0.
Ergo 25,9m = 35, 9n + 4, 5, 9 aequi 1, 6, 9 n + l97, 9n + 1, 8, 9
aequ. 15, 10m + 15, 11 n + 15, 12.
seu
Et rursus omnia inultiplicando
2,5, 9. m + 35, 9n +4, 5, 9 aqu. 0. 25, 9 mt 35, 9 n 14, 5,9 aqu. 0. 16, 9m +1, 2, 9n +48, 9 u
n
136, 9
1,7,9
1,879
(1) m + (2) n + (2) dig.0
15,91 1,5, 12
110 15, b51C
3) Ci
o
1,5,10.
(5) m +(6) n + (7) aequo per compendium unde
ad imisationem aequationum 1. 2. 3. pro l. poncndo m, et pro mpopendo n, et pro n ponendo nihil seuo
seu
habebimus aequationem (1)5) m +(2) (5In + (4)6) aqu. 0. (1X) m + (1)(6)n + (1) aequ. 0
8
Ergo n aequ. (1) C7)  -(4) (5) aequ. 2,5, + 1,61 24, 5, 9 + 15, 12 91) - 1,5∞+ 1,89, 2, 5.9, + 115, 10,
seu n ago. 21 4519 + 14B5 6 9 4 
212 415612,-
2,3,579+ 12, 5,719 + 114, 52, 10+1257 10-2, 3, 5, G - 113,5,6,9- 1, 2, 52, 11 = 127, 5,6, 11
habentur eculo
Hinc patet pro 4 literis. a. b. c. d. vel X. V. Z. Co. formas vel terminos ad qimur
usque gradum inclosive prodire: 1421249 +0+9t+ 15+18+224 26+33+37,43+ 45.
Ad aequationem 5. multiplicaudam per omipessus usue ad dcimum gradum inclusive prodre
..1.
arbitrariarum erit: 1+ 2 + 3 +546+9 + 11+ 15 + 18 +22923 +2, +26
28
1+2+3+5 +6+9
+e
10 30
11 108
155
168
3+bIgus
3
60
+ 40
92 +26+3313
dem
+45+45
nc
- - . . . . . . - l aqu. 0. et Wo= mpo (013 XB. X. y. X3Z, 42). ~C. X3yZ. L. X (. Xy c0. Xy Zr y c. yY. C0