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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 18v, page id 00068197:0036
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= XX + ab. sit (XD. + ab = (X∞ + 2XZ
d
et X = ab - Z23:
L: 22
2
et y = X+Z = ab-
yy = ab aabb +7 +-2ab
Etsi
e
+ a
seu in formula.
non sit X + lab = X- Vab seu in valore ipsius y
sen in formula
xxta
a non habeat duas radices aequales; tamen an formula
explicando X per ab =- Z23: 2Z reperitur, formula rata
ex Xx+ ab, ho accepere plures radices aequales
ipsius XX+ab, radices sunt X + Vab, et X- fab, fiat
X = ab -ZZ . 22, et  rebet esse are an ergo
sit fit ab - 7Z + fab, quae quidem non est = ab - 2Z - vab
22
a Sed videndum tamen en prodent.
aequaliba secundin innfit us. sed prodit tamen in formula
duplex aqualitas radicum secundum Z.
jonq + naZ + 12aa: 20X +2a
aaGy = aX, X b, XC XX N= L
+H. 11aaZ+ 2. 11. 122Z + 12. 12a
xaaygrax, Xxtbx tac =aX, 18Z +3101 a2+210. 12422
se formula si Numeruor est formulo habens duasa
radees aequales, licebit maltiplicare conside +10. 20673 + 11. 204b 
care, ul aequationem, et mulliplicare per
0, 1, 2 (3, 4, fietu 2 1 0 a1 =2
fint 2. 10. 10ZY + 2. 101147 D - 2. H. 12a
13. 20ag bZ
Puatur
a 10. 10623
30x + ZIRX + 32aaXX-
H. danb
410. 2 ab2Z 4+ 11. 21. aabZ +13. 2ab
+WaC ZZ +2. 20. 4 (y + 21. 21aC
20.2023+ 2. 2. 21aZ 4 21. zaa
= 2. 12 12
2. 20. aiicZ - 2. 2. 214b (2
5
= 2. 21. 7aCD
Alibo deprehendi
hoc non procedere
B_X + 24F . 0 multiplicundo progressione
huchmetica Cd, 1, 2,3, 4, sifiet 1. 31 ap + 2. 32aa XX + 33aX+34a0
et cursus per 4,3, 21, 
Et ila taldem lollatur X;
ut dividamue
fidr
3 4. 30 X3+ . 31a XX + 2. 32 aaX + 1. 33a=0
E sed in fallor melius erit ad scopum nostessto
10X+ 1aX3, 12a AXX +Ba X + 14, deit XXFZN
per duc hatrua
Item ut dividamus Wx FnAXF hCIX ABaX HGxXSaXH per XI. B
Jonctatum ab 2BXX + ZaX + 23aa; et ila porro; ubi nihil referta qua
parte intipiamus. 
2