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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 25r, page id 00068194:0049
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 eo + 20Y) (+ V) sive rax + ax, co +20Y)  a
prox sumatur 4 X pro 2ax 4 aX fei +2 a4  4 2a7,, + aqu 4 ay + a y
X1 Y+ C. per 2ag +rac 4 45 + 2ayc + cv. sit fayr +  a c seu c+ 4 4
sii aq 4 a 2ax + a x r
sen XH
vide 29 jun 1676.
a
aa
guira a
 fiet:
qy iag +ayt 
aequ. v+ 20N
2ax +axx
rarv + AaviV
a
14 et dco aequ vix Xd
seu a + d0 (a)+ aq( a a - a yy + a 9y
ag- a yy
ut ergo numerator fiut quadratus ponalii y aequ. b + Ev + dxx I
a
sit compondid.- 2a + a aequ. Y era
e+ 2e + pV
fiet 
D
12
s
do
+b
322aX + 7 ag2 = pe2aX + m ax aequa
7y. se àqt 2ayyt ay  yy a u
aequq aqu
2
(2) aq- = yy
fiet: C aequa49  S.
D aequ. b + 2bC+ 2b d vv +cv + 20dv +
a
u
Cla etagosic procedemm.
a Fav0  2aDYY et pro psubstilatndo valere 
tempro dx
cbi Epio Cudua sonic series
rationalis quaeritu
aq agy a
et b
es
62 3
363
9+
3
D aequ. b12 + 4 bCv + 4bd vD + 2b  V + 4bC dv + 2b54 p+ + 4bE V + 3b Cd v + 4bcv + 8b d v 4b 
4
d V + 4bdcEv + Cv + AbC d v + 2CF dp + 4bdv F2
112
E aequ. C + 4 ev + 6Cv + 4C P + v. et 9’ aequ. C + 8e v +29
+12
2
 arsto
v4 56eV +70 eVbev +
8CV + V. quibus substitutis debet C comparari cum hac fermula quad rata
se quadrato ipsius: f+gV + hvD+ K v + lvE, seu cum f + 2f9+ 2fh vv+ 2fK v + 2Flp4
sed hinc apparet terminos comparandos esse novem, cor
4 g4 VD +2ghiv3 + ZaKB 4 E9lV
ue  atm comedtiiti nis davitiuum adv. en feciende, sed +hn v+ 2k xV + 2tlp
40
25
= KKV + EKIV = 
e
a
rar
v