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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 169v, page id 00068198:0338
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=338
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hAC _ ∞ + 11G =10 2a 217 =20 y+ Z= v. fietque +10: 1 +20: 21 = v
seu - 0t 4 H 20 c 10. 21 + H. 20, : N. 21 =  V
10_t 2b: 21 C+ 30,31  =c. 11: 10 + 21: 29 = 10, 2.1 + 20111s,  10. 20
1I: 10 + 21: 20+ 31:30 = 10. 20. 31 + 10. 30. 21 +20. 30. 11, :, 10, 20. 30.
10+y C93 = gy 200 4d -y
+10 + HY -21Z c (79- qZ∞) vy vZ
20
e
py +y+12 =0 _ fit y = 14 11. 11 -12 - 2 11
y+Z= V
V = 14 H. 11 - 12 = =11 + V1 21. 21 - 22 - L21
 = V421. 21 - 22 -121 ytz = v
_ coc = 4 11 - 12 + L 21 - 22 + 2 V... . . .
Sit V +  11 + = 21 = C0. fit
Ergo C0 +  11 - 2 1. 12 + 12 _ + = 21 - V = 21. 22 + 22 =11 + 2. 12 - 121 + 22
1a
4
= 4 
9+ Z=B tollende sunt y et Z
vZ = vv- vy
gy - Zu ( = (. 1 y - 12 + 21Z+22  = ( per 3) vy - ∞Z. Ergo per 4ec 3 fit - 11y - 12 +2. v - 219 + 22 - vy- vH
(0
gy + 1y +12=0 ZZ+217+22 20
4y +2Z  - y = 12 - 21Z 22 = v0 - 29Z 4 per rec3 sit - ny n 21V + 219 2E - v. 2yv- ryy
rC (periet 27)
Ex 5 fit 1∞ BV B, et V du 20 y = vV + 21V - 123: L 2V. + 11 + 21
+22
Eogo Z= WV +11V - 223: 2v + 11 +21 Et ex C 3 per b et 7. fit 2W0 + 11B = 2VV+ 1B
pam jurs similitudinis
22
.
+21
sed iilem
ator E  Nempe valores ex duo, ex duabus aeq. 3 et 4 educti, non possunt
+
12
quae est identica nec servit nisi ad
6 
tolcere citeras duas per has solas. iteque enouum quod assumeme itaque
tertia aequatio adjungenda est. Quam si placet fubricabimus. No
ut y et Z non assurgant ad quadrelum. yy+ Z3 (~ -11 y - 12 - 2FZ - 22 = vv - 2y2
22
sa
+12
2. 2. 22V
(21V (2. 11. 214 2. 1102V =NAE (82. 2IV  c2. 1121VY
IC.  = ZD + i1 1 BV+ 2IV- 12 42V+11 21 vDF 1IV - 22 = vv = 12(2) 2v + 11 - 29 vvid v- 12
itque valores B et 7 substituantur in aeq. g. et fiet
2
2. 1122. 
IH
FII. I1. VV 4 H. 11. 2IV (+ 11. 11. CL)
__. LI. 2. -411. I1.22
1.12. 21)
(= A I1. 21.22
in 122
fovinot2
42. R 2V (F ,1.2122)
4 (11., 2 DV 4 112. 21D(1112. 2P
12. 21. 2
q
 B rB t2A V
d.1
D + I1
21
3 (E. 11.21
16113. + 4. II. I2. 1X. 1 14. I2V
44.M.
a.
2. 22. 11. 12.2) 22
1222.
1221.
2.2= 0
12
IP. 22
ec.1t.
. n2. 
4. 12.2
4. 21. 22
t
e
4
21
421. 21 II.  (F21, 21. 22
us
2.21 17
2. 12 VV,
IV. LIC.L
122
Q. HI V7 C2. II.d
2. 12 DV) - 2. IL=D +12
2. 22
+2. H1. _). 22. 12. 2E
tri
IB + AOt
12: = 1510E. 12 92+
DE1. 02. 92 +
Be
DE. 12:5
150. R. 02:V+ 8E.12, 02, 9. 2+
IE. R. G + 1E. DEdr: J. 2 + ob. 12: 14
ed
EPF. 1E. ch. . t + 1E. E. _9+ 1E DE B. b + BE 
t
D
AE
1Fn1E+hVACV. 9+ AICar. V b+ h o2V
ye. bo
veahineritioe.  ta deoiar. sise 1 i