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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 3
# Folio 13r, page id 00068000:0025
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068000&page=25
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 63 lines, status machine
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Gy + Xx = a la . sit y= 10X + v. et
fiet  10. 10 ∞X + 2. 1OXV FB = la -vD = XZ
100. 00 sit X = 1V + W. unde erit
la -W = 2 ∞Z + WVZ, seu vB + ivZ= la - W1Z - vY
sit v= la -10Z3:4 et v + 11Z -Y et
la - WZ r 1Z - y, seu la - 1Z + 17 1 = 1p1
la - vr =  la - llaa + 2lalio z- 101022,: ep Y
Xhta 11V F 1, Z = ula qZue - 111ZZ,: 4
tn Yipla - Haa + 2la toz - 101oZ7 - vlazp. 11lo 32 Y
sit W -12 1 + a et Z = 134 + l
et
fiet Ta) = 12. 13 2p (p - 1 2l1 - 13 alp (= a1)
+ 11. B3( 1 lyd = 7. erga
-12. 13)- 12l - 13 a + 11. 13Y F 11l = V, et
tandem (= t FH + 12) (1 - 12) 13
WY = (11 - 12)l =13a,, 1 + ey r3
Hec jam fieri poterat quand vn +uBZ=a
fiat enim N = 14b + a et Z= 15V + l et fiet
v0 = 11VZ = (a) = 14 - 15VV - 14 lv - 15 avC la
seu v + 117 = 14. 15B - 14l = 15a, et po Z ponend.
paloum habebimus: v + 11.15B+ UL= 14. 150 - 14 l = 15a. BC
V (14. - 11 = 9)15 = (14 tidl+5a et tursus ob aequatione
10.10 X L 2. 1oV = Z X = 1+n F a Z= 15V +C
0. V
v. lch 1D + 10. 6 a + 3. 10B = 15V, +
qy + XXL la y =10X + V  et fiet
+ 10. lOXX + 2. 10, 89V X t000 vV. 00. 00 la
fint pla = vV = XZ. sitex 2 1B + 00  et fict
+10.00 17
et Z = 12 V + 00l. et fiet plannem
10
0. 12 av (+ 00. ou la
00 n lV
seu fit 00.00v = 1. nV +00. na. Pon ex ae4. 3 et 4
0. 11 l
fit + 10. 10X + 2110.00 V 2 00.00Z. Et habemus
pro X, D, Z, aeg9, 9, 8, G, 5.
00.00
Bib) UIB + 10i t0 3 v0a + 2. 10. 10. 00B, = 00. 00 12V + 05)
si esset 10.10 a + 00. 00 a = 00l. seu 10. 10 = v0. 00l = o2 v0 a
vs sucederet, sed ha nn lint nisi a minor mudlit C, et
tunc non potest, redit eni quaesitum
Rediumus ad 4 fine landob = 11Z + 00 aZ
et li ab X = WV +  00 W et fiet
fiet d la - Woz = vip
la - vb a HYZ + 00 WZ
Y sit v = 12W + 6700 et fir l + = Z1d = 121044009
yy tXX = la y = 1oX F vo V fit 101OXX + 2. volox V + 00. 0utM- la
au 
la = Vn = 2 20lX fit 13. 10 X = 200. 10v = 20l
X= I1V
lano sit X = ( 1V + db Z fit la = 1LIFB B  2. B∞ H YZ
la -ve = ot 20 1d t eoque 10. 1 lv + 201Z
V = 127 +  et 6107 11V + 1010
10. W + 687.7 = 149., sit 10 =1. 7
19.  4 1. 1. 7.7 + 2 1.7. 3 + 3.3 = 149 fin
fit 149 - 3. 3  7. U
et (1. 1. 9 +1) 7 + 2. 1. 3 = 11
7 = . 3+
fit 14q = 12. 3. 3 ∞ 1+ 23. 1 + B- 1. 1. ~ 2.3
sit 149 - 3. 3 = 2. 3. 11 - 1. 11
149 - H +  2.3.1 +3.3 = 149 - 11. 1 = 3. 12
et 2. 81 + 3 - 12 et  p 3= 1. 13