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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 10
# Folio 8r, page id 00068007:0015
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nX + pX + gX + rX = x + t = (0 aXt bX+ xt dx +y = 0
Tollatur X, habebitur aequatio in qua b, c, d, y, ascendent ad  gradum stum
et quoniam si besset = y, vel aliter nihilominus ascenderent, sic, sequitur non
seu
posse esse aequatione in aequatione aliter dari nisi , bt, et, 48, y
2
y, 5b Yb, 5bc yb, ybc ybcd, yb, ybc ybc ybed ybidhe
v, yb etc. y ib etc. f, yb  y; et idem i haeleris
facias a
d
Haec aequatio in qua y
d. esse auius dimensumis, TC duaeum d trium, y, quatuor
designavitur per u, 12, 13 14
rabeE etd
Rursus P, 4, Y, s, t assungent ad
quatuor dimensiones. Ad huc amplius si B, et S, dem q et Y se habe
it
bunt eodem modo. Quod si _n tollas seu ponas agneat
seu ponas n =0 tunc p et F,, g et 5 se habebunt eode modo et
ita in reliquis. postre habita scil in terminis, ubi atest n.
Inventa jam aequatione Y. etc. ponatur ut robique
_Et sit jum y + ey + f9+ gy + hy+ K = Y et ullobius
t, phahatur radix quinti gradus. comparando Y+ et et cam
formula excilata ex Y+h dactur atssi
d
ex + 11X + 12 X + 13X + 14 X + 15 =0
21
i
_X + 21 =0
fit 21 = 1121 + 12. 21 - 13. 21+14
2X) = 21
4 H.L
X+21
i
21.2t
+H. X. 21
= 21. 721S
1c. 2
12.
21. 2. 21
Filort. 2t
l.
13.21
= 14.2
4122 +13. 21. 21
=t2. H. 21 -13. 21. 21.21
4 1. 2_. 2 471. 21. 21, 21, 2)
a21. 21.212)  EI. 2.21.21. 2)
X + px + g =0 sit X = ay rab X = a y + sabustioabG ab9 + ab gu ab
+C
fit + ay L5a b15 + 10 a by + 10 à by + 5aby + ab
+9y +59Cy +104cy 419e +59cy +4c
apis +aac ut +bapeus +aapey +ay
X + pX + q = 0
apb +gasbe +6apbC +40ub + apbe
X Inx y y- ne tux +pX
2.2
+ui
=1. 21. 2) =H. H.H.
+21. 2. 21 4 21. 21. H. 21
y + Sl9 +10cC y + 10Cy +5Cy+C
y +acy 46ccy3t4
yi
y +acy 1sces talis
+ b + abest
vin