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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 156r, page id 00068200:0313
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Est Aequatio. X LX - 39, 16 e En tabi exto squnisterrer est (82)
 est aequatio cubica xZe
tem formaco dari posse, posito
ponc erga pubrem aequatlem
priductam esse latem:
PZ + 
si sit Aquatio
-Sc. 2 9
X H3  constat enuonebus 
). ∞r 4 23
xpur
altera  p. 3
et ex qX ae q  d. fier  t et 0
Ergo ii qualibem
at simplicius
f19 + 54 +
ubi. Z
= ea muc
48 erit tiu radis  1t C L  + d   ++p
Et ad sinc ubiter secundum. Ruddem vicemt, pendice de
7a.. 3
+en
apontione Epsmadi possunt signa omnia mataio f n contaru
+pZ q
s. ~ 915
 ex ntis Caritari,
Reaunium
secundia B pay 13
:quo casu sneC tentum
Cubsteq. ajude
 1Z9+ s: qu ds 
extrahenda radix cubita
Schoter
sit jam ala aequatio cubiea y ip q. ti a  Exprecepto Carresia mihuto
syna locorum parium, cmmesique aegientu verae transiuntaduntur in. fal sas et contra, fidetqe
id = +pZ q
unde gani extrahii potest Radix.
sit aequatio Z3 X = pZ7
jam per anticipationem inter tollendor terminum secundum serper obtineri
3 - pZ - q locu 33 + pZ + 9. et, quod eodem redt 93 + pZ - q
Et si reperias secundum terminum jum sublatum
potuit
eitque restitutum gia quemlibet, et cursus tolli cogitare potest et. faale res
loco 73. pZr + g.
procedit. Caeterum ea duplicitas ab initio hujus paginae ex Beannia notata,
tollendi terminum secundum non procedit, nisi in aequaliona ollend unde
tollendus et terminus secundus habeat signum oppositur signo primo si non habet
id iterum facile effici potest, mutando signa locorum parium. 
Hinc jam artificium apparet, in omni aequatione seu secundo termino carente
cigna omnia in contrarium mutane; item mulandi signa omnia locomu im parium
non mutais signis locorum parium.  cum sartesius docuero tantum omutare signa
omna pocorum priu parium. Nimirum mutentur signa omnia parium
 male, non mutantum signum
et impariam et restituantur signa parium.
omninus loccrvus antum parium hac termini seundi sublatione;
ecuirendum ergo ad methodum meam. Esto aequalio 73 - pZ- 4
sigillatim produtat quadratos
substoluntur X + pZC 4 X + pX
item al + 2l H Z, item al + 3l ei Y, et al + 4( vV
2. 3. 4.
Numerum invenir, qui additus ad 1.
Ergo X ( a l  +7 et po jam  +3l 1 y X. Ergo  y 2
 v- 31 Atqe ita eliminatimus al,
l+ al 1 X2
Ergo Y Eudem mode sl e v= X et X
ut elimonemusjam et x pet - 1 + Z p A + ve sioc yy 1
Jam ( + al  X. Ergo al 5 X l j ilemque al , Z 21 Ergo X ( Z= 1. Et pro X
poncata Z + oZba t b fiet Zb +F Et pro Z ponendo X + 2bX + B, fiet
 + 2bX + b - (  o. sumtaque b pro artitrio habetur X, eritque X p + l - b et
q
 260 +b
xt
non sucede) pumo et quartom, nec succede, pumo ex sexto, si non succedit primo et tertio, nec succedet. Et ut ex 12 Tib e+ 2a 4 db, usus
nendoque b ibys e _ by , b7 .
quano et quinto. Ego uits pus condinationtbus lentur, confouctonibus 4, ca quamiaitus ds enstadi rogo  freti.  B  L C gentae Vf  bs (  ctb punon b eco b 
o e 16 19 . 12