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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 97v, page id 00068201:0194
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A bZ + ac
E =4 + da
ergo 550. n +5bpo b,-n
quod si possitesse eltan: 4 +9b +6, b+ 10b20.
nempe 97=b-
9 - 3n + 6 n 60)n
2)
=5 I
TRH y 12Y b 137b +
Gz A( y +2∞b +6
RZ 2 Y + b
S H5
et pro n sait itaque N + lB- 2 N a P+aBB  (3V. sB, po. quae res per aequationem cubicam effici
potest praeformano; qua effecto, habiu quaerendus scilicet valorem ipsius b. primae explicationis, quae
ejusmodi relationem, dabit q- 3a p +4 n po. qua oolata sumendo scilicet N. P. Q. R. S. pro cognitis
aequationis ut initio posita est, et q n. p. g. r. s. pro f prodactae quationis cognetis
literam B pro mrbihraria prima, libiam b pro secunda. His positis non video quid
imped int hos terminos simuli  tolli.
+ 3b y + 3b y + 63
+2pb. +pb2
ut duo termini secundus et tertius simul tollantuo, erit: b p - P et b p F
eritque.
. 6pb- 39 5 p et b5) F + 39 p F ue p  3 p. 10
id est: 6B B- 65B 9B- - PB 2,, 9b +6B, po2
Denno: suppono semper a nobis effici posse ut terminus 4 sit affirmatioqus
pons enim negativum esse ab initro eqadjectis 3b +2pb. affirmativis (nam p
semper potest esse affirmativa, reddi potest quantycunque cum b. sit tantae
magnitudinis, quantam volumus. Hoc posito cum velimus nunc facere ut
duo termini secundus et tertius simul  absint, habebimus aequationes duas, 3b + p p7o. et 3b + 2pb +950
ex prima aequatione bp = P. ergo b 51 L. inserantur hi vabores, insecunda, fer. (3p9 4. p + 4+0 et ert 97 l
adeoque 3b2 +2 pb + 4 r 9b + 6pb + p ubi destructis omnibus redit prior aequatio: P  4. Ad hanc
ergo praeformationem obtinendam
contra A:
1b r apb + 4
b7 + pb a 9b +Y
alia opus est methodo, et adhibenda est explicatio major. Vitendum ante
9b +3p
sive e.t Deo s q. s  b C pbq+ q  s porb o
b3 + p6 4 4b +r mdt pb +4 57 39b + 9br +pqb + 3pr et quoniam
suppono non esse 39b 1 p b, quia mondim 345P ideo b- grb, +8
divit ese sinturipusap
+ et fpq
p6q
Pb3
sp rpr
-p4 LNOrpu
0769 sq+hr ponc (9+3rp  ergytg pL. 34) p
erit a ti 2rf g. Aft F 9r. f por insi s
FHid
.p
e
Ap= 21p9  p 2 Capu 
rc.tt2s ede
ar
+dac p P4
+ aqZ + ar
b. + ac. + dac (N
d.. + db.
aZ adZe taed se
conferendo:  b p a - p - d. ex secundis: et a acs.
et ac ()
ad tac - da + dp + d - ag. extertiis, et denique:
aer+ (ad r aed d d +3P + d - agd , (aed)
em -nx
f173 in 3 n
1
-pl
un
et redennt priora, adtem imit
Pser Har
+ s
2ab2
2R1Z
7Z + s. B0
sit y + d X = ea Cd
n 5yF10y 21v245y
Xy + auYb 16yb, + 4yb7 + b+