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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4
# Folio 8v, page id 00068022:0016
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Atrani eodem plane foruum modo formulam
fieri operae puetrum est
pro curvis ratio Senebus ratio irrationali carentibi sed contra
habentibus tractionem. ubi hoc etiam commodi hhabetimus quod litera
. non assurget ultra simplicem exponentem.
av by =CV =dV= CY =f Y =g C hqy + GV + my +ny +pV
+C y +dy + ey +fY +g  h y + ly + mY + ny + p5I
4c3y3 +3d8y +deBY +fβ
6 ef V +3dβy 4 eβ
+∞ +d5
Et multiplicando per crucem,
ach BV
16cti B1
4ch BV
etr β1y7
SdhB16
3dhBy5
dh β9+
retBy
e
(- 4 tic B)
=6h CB V
-4hcβy
hepry
=(C V
3lcBy
= 3Ic BV.
-1c 31 y7
a ic 
2mc 3y
Gsus
= me B2y
CnC y3
nC BY
6c2y5
+clB1y2
C1407
et V5
Eeey7
FlV4
61d B 
9lid 3) st
= hdB4V)
=3Id BV
31dB2y
-1d35y
md vi
=2md B
SCmp2Y2
-mdBis
nda
Cndpys
EpC V CP
cmetor
3d m By3
ecueu
com yd
4hesy
=hesty
fiir:
cnV
dny +
Cen Y
Den By
ime
mesro
pe
a
4uBY +IBy + um By + n B
6hPY tsiy F m β2
+t Y +lBd
Cp VD, (et InV mhyss ntu
6hfp9
-4lfB3y
+cpβy
30p B2y
dx (23,
Cexyr
asfy
-3lfBly2
Omfzy
-nf BZ
entet
atis altipy amtBy antiBi
6t bItsy smtp entipp
oti p altiBy amtisiu antiBhy
kBV 1tBTY mhptu utiBtu
LIV 105 ml ys ntyq
 3tBy mtBs
5ttCry 3l25Y 3m(Bp
3n BV
h1Bi lery imtsoris ontu
amv ImVE m y+
(5 2tm By 2Im βY 2n BV
ex  timega im ni
ang7
=indus 3)
-ng (32
In v mn v
By maBY
epy mps
Unde utjam excerpendo eas tantum quantitates, quae
ad figuras Geometricas nota numettiore
in demnonatore numertitole
illis omnibus in quibus β assurgit ad quadratum et ultra fieta et
regula reformat formuta reformata
abjectis
pellaososi omnibus in nominalore in quibus est B, fier virmuta reformata 6
d
Am V X lnyx +PX. siata jam  (2) ner st E
cut 4Zsi +Y
dytest evisert
Fn ny X + n yX + PX. Eanlergo Z F mydX + nY  E pX Y. Pro X purendoligualarem
zam
X, dy3 + ey 20d
3dy + rey 1r. s l in g
3dy +2ey = 11 ine
myr+ny +p 0ig)
sed haec quo minus fallantur summa cum axactitudine
resumi operae pretum est.