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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 9
# Folio - , page id 00067968:0093
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Novum genis problem tum. reflex
altemativoum conditisonaliua
at
vorum ut ita dicam in onalyticis
invertie talemt
invenire
sinoplicem,
forure ane valorem, ipsius h, ita
formatum ex a, b,  e e e, v
ut si usit a = b fiat h- e. v: CV
Sin faciamus e= v, fiat h- a- b: a+b
ubi patet e et v tractari ut a et b.
quia valor ipsius A est ambiguus
 in h - ab -0
a+b
seu hh - a- b h + a- b. e v = 0
a+ b
= V-V 1
e+Y
atb. etv
Sed debet esse valor simplex, explicemns
distinctius:
ae( be + 4d) bvtae (ayt b9 bv,
hh ∞-
a + b. C+ v
+ a -ba C- V
tH
a+b. etV
2ac8- 2b p
a + b. C+ b
h L a - b. P- v
a+ b. e+B
quae si est, reducibilis ad simplicem,
debet posse extrari iadix
et fiel (posilo a+b = m, et C + bs =n)
240- 2bY
hh - .
ac 2aBP fbb vV
 +
in n
nmun
a c-2ab ev + bbvV - aa- bb ep. W
e
2 2
rumun
2daspd
la est rabev bve a est aabo
2
22
mncnn
av +bc - 2a0be Ergofil
s
mm nn
ac - bv = + av - bc
nin
seu h-
nin
+av 4 beet ac
 -bv
+b. etv
en
sn
Hinc patab rem revera simpilic valore non vertis
 masat est