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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 135r, page id 00068201:0269
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adhuc
nisi forte repetere asemel eandem qu qualis suscepta est
aquationis ab initio data, 18, reformationem operae pretium putemis
quod hujus ipsius calculi eventus docebit, an scilicet aliquid prrofecerimus
reformando
Aequationis ergo nostrae 32. tollamus terminum secundum
(34)
ponendo:  Y p c - blc
- 3b2 122
4a- 4abl + b2(2
cd
2a et fict:
+ 26313 3
8a - 113- 6a bl2a
... . . . - - b1
+ 2b133
2a - b1
t
penuctimi multiplicetur per
- 2BlC produci ultimum. Nunc ut videamus an aequatio (35)
2a - b1 possit censeri tractabilis, sive an quadratum a semisse
ultimi minus non sit quad cubo a triente penultimi, compendii
26)d: et ipsam C. in hoc quidem examine
causa p bl. appellabimus
emittemus, cum nihil conferat. Jam ergo cubus a 4 +
est (3) 40
ab
2a - b1
+ , + 3d d + sive B8)  +adt + ad + a
a
Et quadratum a d + d (29) 46
+
a3
a H
a
2d+ + d. Ea vero quantitas 39
a a+
a
sine controversia minor quantitate 38. nondum ergo absolvimus desidera
tum. ubi notandum si  38. subtrahatur a 39. restare negationem
quadratica
(41) a
(40) Unde cum extrahi possit
rdix fici d =1 A.-1 videndum an forte ipsa etiam radix cubica
extrahi queat. Nimirum extrahenda erit radix ex
et
3
+2)
45)
a
cubica ex
+s- 1 Unde
deberet extrahi posse radix cubica
2+ f. 1 per 2+ Si 11 3
ee + L21  e4 0sut
ee + 3ec s-1 43ec 4 cs-1
debet esse C 4 3ec 1 2.
et +30 4 e n
et componendo: e3 +3e + dec 4c 13
et e + 3ec = 3ec +c
1 1.
Quae si susus conferatur praecedenti componatur fier:
20 4 6ec f 4 sive C3 43c2 C -2 10 ut ante.
e7 2 + 3ec H 1 + ce sive 46c +, ec
1 4 12c +36c
82726, c6
=+ 3c 
et er 1 + 6c
9+1 c
et +3eC  = 1311. dabit 1 4 12c +26+8RC
2 u. 2
1 + ce
et
82c
+2
W X