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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 173r, page id 00068198:0345
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(1) AH
Assumo y: a = 10 vX F d F a
+. x - 802 x = v. Z = -D+  que in - B2 ab. 34L .70  18 ad
5iov: 601Z
sit y: a = 320v0 + 302Z2 + 311 vZ + 3I4V + 3e Z 30l a Z + 300 au) :, Aro W + 4o1 2( + Au) V. 9 10 a ( + avaZ + 40 a
-
1V, HI0. 11ODV = II. 110. 291VZ
20. 110. 110VB
12 201. 2017Z +21t2 212DZ 1:1 23. 201 :1977 + 2 p 221. UB. EM VZ
d B-- D+ sa 801
+ 10. 110. 110. A2OV F r0. 110. 110 411v3Z F N. 201. 201. 411 v73 + 10. 110. 11C.H02VVZI
F 12. 201. 201.027 II. 110. 201. 420. n F 11. 110. 201.402 . .. + 12. 201. 201 f20v0 2Z
= 20...... 320  - 20.... 311 - -. =22... 39
= 22 .. . . 302 Z = 21... .. 320 . - 21. 1. 402
11. 1102014I vVZ
-20.. .
= 22.. .
 2.....
+10. 11B. 110. 410 aV3 + 10, 110. 110. 401 aWZ. + 10, 116. 110,400aa vV
20. 110. 10. 31011
F 1. 201. 201. 401 aZ
22. 201. 201. 30111
= 20. 110. 110. 301... = 20, 110.110.3000...
= 12, 201. 205. 401 a1ZZ
= 22. 201.201. 301
= 12. 201.201. 4004423
= 22. 201201.300 a0..
+ 11. 110, 201. 40 avrz + 11. 110. 201. 400 aa VZ
20
311
= 21. 110, 201.310.. = 21. 110, 201. 3004...
+ 11. 110, 201. 401 a17Z
= 21. 110. 201. 301..
2051os Laa a
ut totlantur v, dqu DZ, va fit ob v, 420 = 20 Et 4t ob Ba, 418 = 2  rasie
310 IB imatuat ne
Et ob vZ, fit 40. 10, 110. 110 -+ 11,110201. 320 -10.20.110. 110. 311 -10. 21. 110. 201. 320 -0
HI.
10. 1- 20. 31L
seu 110. 110 (10 42034) + 140. 281 20 (11.20 - 10. 21) = 0. quodsi faciamus HIC0 et 2120
fiet 4L = 28. Supecistrur solum VV, V V. et compendio scribamus
+144
OVeF DaV +. Zaa; et fiet V = -D + Y(9) - 44) = 20 qo
D = (12 ee) (12. 411 - 22. 311) Z +12. 481 221. 301) 201. 20 9Z. compendro 13. 4H. Z H2. 401 a7Z, 201. CP
271o
et fit DD =  2074
2012
C== ((1∞ 402- 20, 302) 110. 10 + (12. 420 - 22. 32001. 207) 2Z 7(16. 401 - 20301110110aZ+10. +a ruo aa
seu compondio O = (10, 402. 110 + 12,920, 205)2Z +10. 401. 100aZ + 10, 400. 110 aa
 = 12. 40174 + 12. quiaZ F 12. 400  201 201aa ZZ
=22.3025 - 22. 301
-22. 300
20. 308
Et fiet ((DB - 409) = Z ,( 2 20, . qu (13. 411 Z + X. 207. 12. Ct 11, 12. 401 a 2 + 20 4 (3. 401)a42
J. 4. 12. 4813 10. 102. 110Z+ + 4. 12. 10tys 10. 401. 11047 -4. 18. 402, 10. 400. 110 au 2
A. 12. 402 12. 120. 202 4. 2. 4B1, 10. 41o aZ - 4. 12. 401710. 401. 10 aa 2Z. 4 1. 0, 102 N a
4. 12. 4u1, 12. 420, 201
Possumus antu facere 300 = 440 vB et 901 - g et aet
00
et 302 = 402. 002. Et 310- 415 0r0 et
= 4. B. 400, 10. 3,2. 118 au 7 Z- 4. 13. 4 00. 10. 701115
=+. 12. 400,13. 420207
(4. 402 400, 10.300. 10 a
possumus autem assumerc 300, 314,301, 320, 302, 311, _ assumere in ratione aliqua, etsi forte
incogulta ad 400, 41d, 401, 420, 402, 4H, quanquam in tuon 420, au jam cogat inventa sit er 10:20
quae tamen ipsa nondum cognita sunt. Et poinde possumus + 12. 400 appelare 2040,
- 22. 300
et 210. 40c appellare 10. 400, et +10. 401, 340+ 001. 401 rt, 17. 401 = 201. 40
-20. 2
- 22. 301
C +10. 410 = 010. 410 et 472. 40 = 210. 410 et 110. 420 = 120. 420 1, 12. 420 = 220. 420
-20.300
-22. 320
-20, 320
et 10.402 = 062.402 et 12. 402 = 202.902 et ti0. 411 = 011. 4u e +12. 41 = 211. 411
-20. 310
-20 402
22. 1210
22. 902
10
22.31
itaquehationale erit tale
(H 201. 201. 211. 211. 411. 411Z +2. 201. 201. 211. 20, A11 To1a Z + H. 201. 25). 101. 201. 20. 9 1. Le a9 7 L
=9. 110. 10, 002. 202. 902. 42. =4. L1I1D22. 001. Io2. 401..- 4- 10. 110. 202000, 402 900-.. - 4 11B. 10201. ver Io1. HO a Z- 4. vd. 1102 . 9 4. te
4. 21. 231. 202. 9. 40920.. = 4. 10. 1,8. 20 1u82. 40 1. 70 . - 4 18. 40. 201. 001 401. d1... -4.)8 11 P. qeo W, Juodut..
4701. 201. 201. 220,401. 420 = 4 18. 110. 200. 002. 400. 4021.
-4. 201. 2 200220. 416. 420. 1
001
tatiae da
de = a (10. 2dv vdz seaa
0 3d0, 0ad 101
Surd A 55 - a bdc L 3dotag. oesis
20O
vel erit q: at
 . 40) a y  B. Bds) A
ACDF
ettandam aZ dv vdz: 22 
Sea boi dr.a
erit aldval
sti o
C
Hoc poterit duci in y: a explcatum
er cominaa,: porxt2
xplicando X: a per HoV
et vperta, D+ sae,: C
 Sion  (Dda 2