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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 74v, page id 00068255:0148
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123 12312)
st12. 512 vy + Z + 123. 525Zy + 113. 513V, + 100p 500F = U= mm
1 1()
(0)
+ 0
2.16) 5. 0. 1. 2() + 8. 4(5)
4 5 2 4(6) 1 2. 1. 24)
2
6(5
44
112. 512  11213. S12B3VB. u g 13. 5_3 BVZ + 123523, 1n13. si2 3 qu L 12313, 5231322 + l 6. g. lst
11223, 51223
11223.51223
5 = 112. 512.51223, 12713. 52313 VZ
=+ 112. 512. 51223, 11213. 51213VV ~ (123,523, 52712. 12313. 5231372
=112. 512. 11223 11213 .= 123.523. 19 12313
5+ 112. 523, I12. 112(3, 123B
2+122. 512. 12312. 12313. 1n13.
+ 13. 513. 1123, 51213
 ins nthe
+12S
SI2
+.  +ug. opd 
4 5 4
= 112. 512. 14223,  123 i p 133. 513. l E. 12 13
117 +61) ebratBto =
incae
-123. s23. 53312. 1213. 51213 1g 1 2
4 1 ) + 12. 513, 11213. 11213, 12315. (4)
4u2. se (+u2. 513 (12. SIIU2SIZ
123. st- 113. 512 (1231512 113. 512
aub lum atb, um
F B. 512. 12312. 1233. (p139(
3
= 113. 513. 11223. 51223 v0
+
seu (a - b) (L- m) = (a+ b) (1+ m) = (aD, am - b I+ bm a am = bl= b m = 2am - 2bl = 2112. 523. 117. 512
2,123,512. 112.513
12313 =423. 513 + 13. 527
in coefficiente ipsiis vV est y2. S12. 112B, (51223. 5MI3 - 11227. 11213)
et Coefficiens ipsius vo fit - 2. 112. 512, 112+3 (12. 512. 523.13 = - 2. 112, 512. 11213, 12313
eris = - 2. 13,523. 11213. 12313 92313 = +113, 513 =113,. 523
23. 313
et pari jure coefficiens ipsius Z
pro coefficientte ipsigus vZ. In primas erit 51223, . SCs. HE  SIIS
in eodem coeff. ipsiue DZ in 2da 5 erit 1(2)+ 12(5IZM B3 _ 11223. 11213 12313]
jam 11213, 12713
seu nEc AC IV3 quibus accedit.
1 1425
seu 113 3 (2 I 113. 525 L 11
+112. 123, 113. 513) a
+123. 5121
132 (423. 122.512
125. SIE D
F123523, 11. 1351253)
123. 112. 512 113 112. 123. 512. 5235113.513
123. 513 + 113. 523 325.7B3+ 313. 7231 45
+(23. 513 + 113. 52+323. 713 +3137745
15
aequ.
et fit (35
Ex 2 et 4 adi . 513. 113 (=), (40 - 28) 315. 713 + (40 + 20) 713. 313
10) 35 151
Ex aequ. se sit 7.7 -+ (4 - 20) 12. 723, : +(30 + 10) 113. 312
(4428 )u2. 32h. 715 + (48 28) 112. 723. 30
 leetd Subtuhendo fit 2. 12. 513 = (30 + 10) scr ns 4( 30 - 10) 712 313 5 (304 18) 123. 312. 713 +(30-10) 123. 71. 315
+ (40 + 20 ) 512. 723(+ 20 - ) 5iz. 312
(25, + 10) 323. 71277 - (90 - 26) s12. 323
B5- 13) 123. 12 (20 + 20) 12 323
(2;2) 5 12 3i3 71+ (4 +28 ) (, 2. 313
ae
Ex 1 et 3 addendo fil 2. 512. 113 = bB + (3 - 1) 312. 713 + (20 + 18). 712. 313 et fit (30 - 10) 523. 312, 713 + (38. +. 3.). 314, p. 313
15
2a 4 subtralendo fit 2. 13. Siz  (40 + 20 1329 12 + (40 - 20) 7. 3. 313
Ex 0g.7. fit 713
313
113.513. 11223.51225 17 51223
Addatur - 112. SertEsu = ---
Ergo taudem omnibus duplicatis, fit 2, 112. 123. 513. 513 + 112. 522
Ex 1 - 12. 513 + 512. 113. =- 312. 713. + 712. 313 (16)
Ex3. +112. 5134 Gr2. 113 = +31. 713+ 712. 73,35
45
BE . 312 rL. 5at (113. S13 = 113. 513. 11223. 51223) 612 12. 518 113
s2
Y127. 527,11213. 5143 =4112.515-1132512, 123. 529 51213
112.523  un3. 31225 +12I3. 12515 = 11223. 11213, 12313
123. 512
11 s23 +512. 523. 113 quod in ar23, ( 112. 125. 523 5137 +112  3B. S13 = 11223. 1142, 12313
C1 123. Se NL. 15.5
 315S
et 13. 513
12. 523 da
113. 512 l
5
= 11223. 51223 (l- mm)
2 117. S12. 51123, 11213. 51213B P∞ 123. 513. 51g 2. 12919. 523 137 32 - Bp. Sp2 s1723. 12315 523B3BZ = 1213. 5123 I. m mi
+ M SeZ
1