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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 166r, page id 00068201:0331
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200 + 210a121b = 0 300+ 310a + ∞ 302 b =0
X = Ta +uy+ 1LGF 13y54 y + 15 y etc.
XX = 20 + 21y +uyy+ 23 y + 24 y +2) y et
, 22 10.10 +210 y + 2. 10 12 y + 2 10 131 + 2. 10114y +2. 10. 13 y22 10.1695
2. 11. 15
+ I1 I1 2. I1. 1a 2. 11. 13 2.11. 14
12.12 2. 12. 13 2. 1214
fiet 16 = fro = 21: 21 12- 1 = 2: 4 20, : 2. 10
13. 13
204 + 219 a = 0 300 + 310a + 201 b + 31 ab + 30a =0
a = - 206: 214, Ergo ex 2. fit 21, P. 218. 300 - 20214. 310 + 214. 218. 301 b- 208. 218. 31 Xb
+ 204. 20b. 320= 0. seu +218. 216, 300 + 210. 210. 301 b 8 seu 226
=268. 218. 310 = 208. 218. 311
+209, 208, 320
D. Bl. 4100 = 20. 21. 9110. =2p. 21. 4101.
0.c
Ni bet e eoni nubo se hatus  arolb tco ro torobl
5)
409. + 410, a + 40Vb + 4001 C + 4 000 ab + 4 101 ac + 40n bc + 4200 a + 4020 bb = 0
tollatur primum a ex hac aequatione fiet:4000 43t 4000 - 2017100 . (010 b8, e4 001 C +. 40: 4. 10b- 20. 4101c
=21. 21. 4011 bC + 20. 20. 4200+ 20. 20. 4020bb =0 Hinc tollatur porro b, fiet ubi ex ae qu. 5.
tamendo compediose b+ _, Cb +D =0 debent in aeq. 7 omnes termini carentes b. multiplicari per O2.
et omnes termini habentes b. multiplicari per et per -OD et omnes termini habentes bb multiplicari
per 32. Est autem 32 = 21. 21. 21. 21. 301. 361 - 2. 20, 21. 21. 21. 301. 311 4 20. 20. 21. 21. 311.311, et
2 2121, 21. 21. 300. 300 = 2. 20. 21. 21. 21. 300. 310 + 2. 20. 2D. 21. 21. 300.320 + 20. 20. 21.21. 310. 310720. 20. 20. 4. 310-
+ 20. 20. 20. 20, 320. 320. denique - 0D =- 21. 21. 21. 21. 300, 301 + 20. 21. 21. 21.30p. 310- 2020. 21. 21. 301. 318
s sil tollas aet b ex 7 habebis valorm ipsius e, ubi coeffi. + 20. 2. 21. 21. 300. 311 = 20. 20. 2. 21. 310. 311 + 20. 20. 20. 21. 311. 320
cientes ipsius a et ipsius b. in 4g9. 2ser3 Z et 3 eodem moodo se habebunt, et fiet
= 26, 301. 301, +000 - 20, 21301. 301. 4100 + 20. 217301 4200
28025. 391. 311. 4000 +220. 2027301311. 4100 -2. 203. 213.301. 311. t200
+ 20u. 2t 1311. 311. 4000 -20.2]3. 311.311. 400 4204. 217. 311. 311. 4200
+21. 30p. 4001 -20. 25. 3017 4101
2 2021(30131. 400) +2 26. X. 301. 1. H01 .
+2N. 2Y. 311. 311. 4001 =2032]. 311311. 401
215300.301. 4010 +20. 215.301. 310. 4010 =20, 27. 301. 320. 4010 - 3F. 310301. Fo11 L 202 1301 3iv 4o11 - 26. 1 3 9, Y Fo11
F21. 21. 300. 311. 4010 420.27. 310. 311. 4010 +203. 213 311. 320.4010
4 20. 4900301. 4110
20. 1 2 30a311. 4110
6.
+292: 212305, 4020
26. 7. 320. 4020
+xV.300. 31. 401 -1o 2. 303 1 t01 E2p. 2i 3 1 31831
2042)7. 201. 310. 4110 +208. 313. 301. 320. 4110
+28. 213 310. 311. 4110 =20.212311. 320. 4110
=2202(2 200.310. 4020 + 2. 20. 25. 300. 20. 4010 + 20. 21. 311311 40e0
2. 25. 21. 319. 320. 4620
F0oert f100a + f01 eob + 50010C + 50001d +51100 ab + 51010 ac + 51001 ad + 501bbc
pro a substituatur valir
+50101 bd + 5ODICd +52000a + 5040b 4 50020C20
et exaeq. 8 plag. 1fies: 27. 50000 321. 5100c + 21. 5000b + 28. 50010C + 25. 50001d 2E1. 51100b 1. 51019C - E1. 5,001d
0
rtto on
+21, 5910l + 28. 50101bd + 27. 50011 cd + 24. 52000 + 25.59200b + 25. 50020C
Et porroe
2Ab. 2, 301. 3H. +0o)
aeq. setullab seu ordinando +21. 50000 + +25. 50100 b +25. 5a10bC + 21, 50200b (10)
2u. 31000 +20C = 20. 21. 51100.
+ 212, 50010C
F28. 52000 4gt cone
20.2. 51010
421V.
5000)
+ 212 50101bd
4 212 50011CC
Consentit aq. 10 cum eg. 17. quod notatu est dignum
mutato tantum  ultimo cujusque termini- oin sivvi.
numero piont res exigit.
comparentur aequationes 2 et 3
+212. 50200C