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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 2
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2. Sept 1674
speciminis de Divulsionibus Requationum altera plagula
Quae diximus pagina praecedente exacte disentienda sunt, ne qua restet onspicio
erroris.
Esto aequatio proposita:
X F.bX + b + v 10 iteue (36)
quam constat in Numeris rationalibus pariter surdisque impossibilem esse. et quamvis
in  eerem
sit ad circulum, de scribi tamen nullo pacto locum  ejus posse fit enum ea
Ea cconferatur factitiae plagulae praecedentis, nam si ex ipsa etiam haec
aequatio exitum obtinere posse videbitur, ipsammet factitiam absurdam esse
necesse est. Factitia, si ponemus
Aeq. (13)G. et d. nihilo aequatis, ina 
generabitur:
Acus (38)
 V 
Ey et X F e 0. sive VE yX +VSX +VeXp
et + X+ AB B  a fiesive h
Composita ex his duabus aequationibus erit factitia
utile
conferenda propositae. Sed ex mati esse arbitior
mutare nonnihii sententiam, et loco propositeber
proposita, autem est
impossibilis aliam adhibere quae hoc jam habeat,
c . . pa. reti 
1623 61a..
B.
0 Ateg. (39)
ut q =nr (eo literarum q. n. r. sensu, quem paulo ante adhibui) sit qeadratus
sone tam r quam n’esse unitatem fiet (4)  aequandus quad rato (a
st fit. 4ril
+ 98+ 8
 
 4 - 1
8 punax h . fieae 4 A A1 nar   
proposita
uegua . Aequatio ergo punetia sit talis.
Aeys (40)
X  y4+Zg. + 1 H∞
eut s Y ,2V  ( q t) XH
X  Y p aequari quadrato, iv
Videamgan sit possibilis
i etum
B Itaque debet
4 B.  Z quod facili exitum
2. Erit ergo  F 
reperit, ponendX 1I et Z e
et Y + 2 +2 paenda ergo + esse  fiet yp, 1. Quae aequatio est possilitis
impossibilis et Apta est ergo calculo nostro explorandom
ergo aequatio proposita per YFY +Ba ita stabit 
A Ba. + Ba.
(X) fiet e - BBl ABa
Aeq. (44)
2Ba.
Multiplicata
cum problema diu a me quasitum continent
( + R X + . d - Y3Y y 10.
+(a:
Collatione eorgo instituta  
proper
Sit E 1
iter. (11)
ob (9) fet
fVL+ β aL iq (43)
eba - Bhc. Acy(q) Et het
Vl
a 
Et popter Homogeneum, fiet. A. ACqu. B) Apd
Rrestat propter (X) aequatio talis: (46)
sive equ (47) fX+ Ba
ut
n ul
Cb
SV+ Bal+VI+ Bal
+ 1 O5)+ aB
Db
ea
D i +6B6.
iauq
+ pal 3 ,b 1b
127 20)
acq (45) ponamus Bpb. sI SY Xt β Br, fiet ex eq. 47. se item 9) et
sur Aeytus)  A ut +  + 15 p0. sive 5 + Els + l N Y
sive s +0
n
sibe s+l 10. Aeq. (E). Ergo juncti s Aequa-
tionibus 48, et 50, fiet Aeq. (51) =faBl Bβb. Cum ergo literarum omnium
nlores simplices nactisimus, licebit calculi veritatem in numeris explricti. V. et B. ponamus p l. (52)
fier D - H al
(53).  po by 1 AfBa. Erit 87- 2. Ap. 1
ess. 3. hp 2 Cppu3
aiodihus snpel b. cyp- A. X, fet C a tet  +detne. hic X p) dc el , 1. 3
A40. Eyp 1.
.1yt lex Aeg. 40. fit 6 + 21+ l 0 Quod est veristimum 4
1ls.