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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 30
# Folio 5v, page id 00068243:0010
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Onissis ergo caeteris resumemus aequationem: 27.
e2
64 pr (28) 649f + vt hY  8 vh 
et 1 = xut
+ 4X
+x vhi + x
t
4ax p 16. - 4X + X
(29
Ergo si 649h - X Yh + 4X - X 7 0.
potent exresiduo extratu radix et
inveniri p
Ut ergo efficiatur in nmes rationalibus aequatio 29. divellemus eam in duas:
(30)
64 gh - X fjo et =xv h + 4X H0 ex priore posteriore, ubi feliciter evanescit
fiet vh r 2. seu hF 2. Ex aequ. 30. fiet X p, 8ghr seu Xp 16gh, 1 169, 2
3
est autem supra V p g + 1. ergo fiet X , 32g
eierit E BP vsi 4 + 
+1
N4 +4 4 169
9+1
(∞)
seu PH  + e +  16g. sit compendicansa p p - 1ege
92+1
2+1
Et ex 24. n+ e. foret etiam L∞ e. quod est absundum foret enim Ypo.
ergo non licet sic divellere aequationem 29
si esset vhp. 2. fieret hp 2 et fiet n1 - e et ex 17. fici lyte
seu lp.n. idem lprte, ergo rursus Yp.. non ergores procedit ne sit quidem
v
64 qu - XV, eut X p, (+ 9. et rursus Xp, 16. Ergo v B4g2. et v, 29
quod rursus non licet aliter. 649 tr 77- 4X erit X, 19 hi. mitus ti X
uende idem rusus
si esset Bh +Vh + X( A() X p0. seu X 1 (p ti0 + 2
rursus X Vte L 4X - X 0. seu vtir 4 - X seu Xp 4 - vt 
sed ita fieret psghe  in quod absudum.
siu in aeg. 29. faciamus hp CX. fier 64928 X - rco x + 4 - X 
uunde divellendo A= 64g cd X BZ. seu dCoB i sive Misco et
vcXA. seu vCOKHL. est autem ve 9 41. fiet XN C +C
sed ita rut sus Vh pu2 contra atentum
C4gx - V in aequatione ascribatur:
+6+ g’ coX = X 10. et rursys: vcd X p 4 + 4GX + X G
xa
=
+
2
fier vcX 2 + GX et XM nong
et X p 64915- 49- + p 2 +2
645 HXH  Ergo 495  8. atsurdum
vco-9
649e5 X - vcs X + Xp0. fier: X 1, 649 c + G
v
 quos des valous aequando habebilio
rursus 64 4 - x - 44, 0. seu Xp 16 - +4x valor ipsus Y, qui solvet problema
seu 4 16
1+ a H
fier: 619c0 + Y + 649254 +4  16γ c
+
qua divellendo aursia
ug aga
fiet  16 6a gC0 Gco 7V. et Bc 3. fiet
6FV + 1, 6474 ( + 41 p, 168. fiat 148,,D 2p + 1.
eutus 6a) +  + 64V a  + (, (44) + 4 + 1v ego habetur Y.
et ex 28. et 29