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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 110r, page id 00068198:0219
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ux
Wtlvr ao vvtlo + l = ill-am fit
D = - =l+ IC Zu- aM) Hinc formulae
Wotlo +at; radices sunt .+ se H- ab)
V+ l - Y (a ll- at) et v+ El +  (=l - aH))
sint adhuc alia formula ve +  + a=
ejus radices erunt eodem mod
v + L2 - sC 4 A - a) et v+ =A + A( N aui
sint rursus aliae binae formulae
vo + p0+ aq rujus radices sunt
V + Ep -  (app - aq et v+  p + X ( pp -a9)
et vo + nV F aK. 2 cujus radices sunt
V+ LH- H (ZIH - aK) et v + 1 + Y(= HT - aH)
e
sit  l + ( Ell - am) = = A - V (+) a p)
sruvC afentab L
2,h+ tab
ganperrab +2aty fab
Ahh4+ ab + 2htat.
6, at er ab hatsirrabtrafrtab- Taagt.  athlab, -t atabis
2 h+dab
D =4 aagrab
ag. at  rsab  (ansgerrab - 2afr Lb- Tangh. + 4ath fal. =atab,
2, h F h- Vab
amglab
seu aequentur v+Ll- K(Zll- am) et v + L  VNai)
ultiplicetur et dividatur prins lasusper h. dab
et posterius per h+tabre fiet
saff aftab - rab =fsaatf, aagh  2a fir ) (ab) A
Atr Tab
sequ.
=gaag
rrat 4atab
(aast - 4aagh = 2asr tab
=tir sab trab + rrab- gatab + 4ath
+4aa90
afhisastab,
Ed 2B
Similits est aequatio pro ab ponendo aC I- 3
fiat prontraque calculus notabiliter contrahetur, se
fiat aag+4 th- 2fY =0, valebit enais
aequationis utroque latere sed lidea hoc non
vicent, firiet enim O D = A = O+ D
Ueoque (3 = D. qu 4 -h = t 4 seu 2 =t
poterit simils
sed olesee
a
quetri
po ab substituendo a
=Y(ZN -aK) a 
et plileo vistitu
quatio ub
(PV+ =l= Y(LHI- am)= v + =RH (EN - aX)
Rocta aequatia nova
ltret
utaque modo extractio fieri et formulatu duplicata
mo ab ponamus dd. et pro ec ponamque ee, ob 4=h
solum radici involuta manet.
fint Chrrod- rafhrdd + aafsddera qua
C+ 2a tr d- 2hrro3 rreD- rafrhd -4at B
+4athudd
hhrr rafrh + aaf = (2aprh- 4at dd + gathh
rdhir +2afid t-htri raats+ ratro- 2brrd
ea. lih - dd
Sed similit f- hhrra oafstragre-Lhrre, qui duo ipsius t valor
aa, hh - et
debent aequari
siat (seret hhaas hhragro hhlrrd- eehticeaat- ex af
 vertirro GarrthnaatEehhratrehh2hro-dd thrr-
duaat doratre +dd2urre baec quato dividipolus
per C= 8, it nab. bitur velaero intor , 5.F f,h, 
1
superest adhac una aequatio