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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 368r, page id 00068196:0731
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sit
C
1Z. du =  10Z + u V,: 20Z + 21V
et v 40+41X + 42X) + 43Xy
50 +51 Xt s2 x +53Xy
5
fiat Z = 30F3IX + 32X +35+y 3)
1
 2. fuit du 848 0d
  et du =8d8- 9de
Ergo dz. d v 8d0- 0d8; , 9d3- D+8 et 10Z + 1V, : 20Z+ 21V   100 + 18, 3 2061
(10)
Ergo ex 1,8, 9 fit 8d0- Cd9:, 2dD- 2d8 = 100 + 18:, 200 + 2D
si
19: dD = 10O + 11D, :, 200 + 21D seu 200d0 +2D d0= 100dD + 1D d D.
fret 4 = 3 31de + 2. 92. X dx 4+ 33 Xdy
ydx
ydy
Odo 2 3031 dx + 2. 90. 32 Xat  30. 13 Xay
+ 31. 31 431.31 + 231 32X dx + 2. 31.3 E Xydx  3 R
42 35
X 31.32
+3133 +31.33 X dy
1
Y. 2. 32.32 XdXx + 2. 32. 32 Xydy +y Xdy
pr
x 33.33
+31. 32
+3233X dy +32.33X y dx
4. 2. 32.33
odem modo si  adjiciamus reliquia membra aequationis t explicata
 habebimus in summa terminos decem arbitrarias vero 30, 3, 32 33
4,41, 42, 43; et 10, 1,  20, 21. adeoque sufficientes, ut uilibet
ut productum curilibet datae simili, ejusdem gradus comparetur
Quod si voluissemus curare homoeoptosin haberemus in O arbitrarias
et 8 ut et in D, daret 16.  et cum 10, 11, 20, 21, fierent 20
Et ita eaequatio data
et fermini, fierent similiter 20
cum rit posset comparari.
videtu res procedere, et si sollum sit.
exferentralis
proposite est curva Cu aequatio a  coriaaco halis vaco
aals d+ re a + aacd d= raa de quaqe aegs
sochu
Si ego Y = 70 +71X + 72 Xy +7357
E1n
b belyik, 8
11 43.604
771. 72Xdy + 7C. 72Xydx 45 7 1.73  x r71 7 Xyayinnxi lus haptigu
71. 73
+71. 72
71. 73
1273. 7 111
gog L A 3X dy +2.p 21X
fiet 2 d  - 1 70. 71Ax F 30. 72 Xdy 12. 70. 73 Xdy 4 71. 7 vlx + 3. P1. 1. Xdx ry. qua tust tipdus A  ax + 2772 F1
71. 71
71. 71
20 = 23 60 s1. + 960 5 +3. 606
e
4
aacod =aa, 60. 71 460. 72
+61. 71
aa (dco =dua, 61.70 61. 71
n
n
+210. 73
+b1. 71
61. 71
podx +oixdus +82xd
13. B. 72
+660.61 +5. 60. 67 +3. 60. 6 + 3. 6s +36 +6i ubi
2. 71. 73
+61. 72
2. 61. 73
s1. 72
42. 61.73) +61. 72
∞61. 73
nepe  est mone
+83 xyax 184 X dy
61. 73
195Xay 186X pay . 9 Xy 1 B 2 B
C9)
Equalionis 90 + 91X + 92 Xy + 93X 9AXy +95X 196X9 +97X y + 982 =S
98- 89. 82 -31 quae proinde etiam succedit, ut patet (einus disralis est. 91q. + G2Xdy +293K 794X) L4gXx ib Xyly 13.91X X97Xdy + 4. 98X x = 0
du
sit c0 = 6C e + 60 + 61_ et 1= 70 + 7IX + 72Xy+ 73X +4 X
et WPdP = 70. 71dx +70. 72 Xdy f 7073 Xdx
+71. 71.
+71. 71
yox
dy
102
quim lle to ustiatius
ur
pay
 quaeratur conferantur aequ. 7 et gR ut quaerantur 90, 91, etc. fiet 9 = 80 92 = 81 93-82. ypara
94 = 83:2 = 85 95 = 84 96 = 86: 2 97 = 87: 3  = 89 98= 88: 4 3  lt pocet
tantum ergo in aeg. 7. opu est esse 83 = 2.85 et 97 = 2. 49. 9b8) = 3. 89 fil 3. )15 = 3. 12. 73a
 eti fu i ( 8d = 1.95 (t porere oportet 60 a osi pendicus snum socla est
aero
et ergo per se suac e  151.7 3.61 Y. 2
2. 72 seu 72= Z.
ad a M
y1t73 = 
bulla hobuctur ie cer ntus ab ioi lata tenncat 6oti
sed video sun nihilomun
prodire,
in propte
itu
ex hoc