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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 9
# Folio 5v, page id 00068104:0010
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quin et interdum una quadratura reduci potest
ad tres, ute Nantvio (
Sit ergo
vi ax + (XVdio + sxWdv
Na+X. a- X dx = O fiet et sit Sa+x = v et sa X = W.
Fiel D = -X Sa +X: 2 sa -X dx et E = (X Sa -x : 2 fa +X dx
quia  -
eH
du + X do ideo faciendo 
quia vd vert d + vN do = v .
reso
itaque
X Ya+bxetiam exprimi potest ut sit = X ve x seu ut
dat bx = v et et 1 = ∞2, seu C = - 12
X tatox de reducitur ad
et
quia (XV. dx +, ) DXx V do = XX. V
ideo si sit  v = a + bx et v = a + bX et adeo et 1 = 1. 2 et C =  ()
et du= bdx
reducetur ( ad D = b sXX. dx
Sic
quia d
aD X = EVdx +2
in n
DW=
satbx
m-1
n
M
n-1
imV. W do +nV W. du
sit jam O  Vm-1,
in 
et a =x = WV, fit et dx = dv. fiet m - 1 = 1: 2. seu m = 3:2
et n = 1: 2. ergo fit  = - a +X SatX : ta -X dx
itaque Euius summa dependet a priope adeoqu haec
Et generalites proinde hoc calculi genere possunt i
dala figura alia ad ib inveniri quarum s quadra
turs datis, etiam dalae quadratura datur
Hujus rei fructus est tum peductio quad caturarum ad simpliciores
tum interdum obtineri fortasse hinc potest aequatio, si
ut si quadratura aliqua reducater ad seipsam