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Math 479 :
Day 38
.
Reed
break
bite
from
1
'
Kgls )
whe
Yls )
the
B
paid tht
we
ape bw
[ Guv
zteo
'
'
a
gudsr carat
the
'
Eun
-
&
G) & In
]
'
xls )
f.
as )
come
on
safe
a
'
4 G)
+
Huls )
-
kgls)
we
,
uls )
,
)
.
the next HW will indnk the
time
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when
F=o
Suppose
Bt
.
a
,
online thereto
an
we
merger
an
,
.
then
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.
D
slightly gross
uhih bond
any
R
in
ry
a
family to
Z
in
do
rd
sooty
my
(
holy )
.
it
µ
{
Tami
Fwlhrme
,
li ) R
l ii )
At
each
We
on
IIP ) for
=
Wehe
com
,
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Using
this
we
,
gm
to be the
S llilslds
had and
,
will
pre
wy
:
P
+
of
uv
El
angle E ;
in
Ei
=
-
Li
&
uhih B sinpf
plane
.
)
the
of
?
the
the
btw
ape
in
at carting
1signed
a
Be the tung
?
ink
an
on
st
gun
define
can
Hopfs Umlaufsntz
I The pot
sure
to
he
define
In
tht
assume
tmotmotr
R
xi
it
,
't
)
along
.
B
2
shah
in
a
then
sgt
.
it
.
uhih
is
2T
published in
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1938
.
they
a
no
.
ah
on
R
connected
Shifrin )
.
to
soy
.
.
Z
is
sin
by
(Local ) Gass
.
Bennet
there
§
zfnpsglsddst
this
Now
theorem is
ntrswprsj
hgutuf
,
ej A
.
KPH
triangle in
Us
so
,
KdAa=2t
at
look
E Ei
-
some
.
He
examples
t
trying
pre
it
.
.
#÷:
€s
Hi
o
3
,
(
a
Kg
o
=
all
on
& 1<=0 eveyvhr
Sides
0=2
'T
0
or
a
fat
It
Exe
you
:
b
,
to
i
=
to
z
2A
-
( it
a
-
,
we
)
see
lit
-
H
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lit
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03 )
o
=
,
+02+03
the
w/
some
n
.
EQ
see
gnan ya
.
ante sphere
triangle
Kso
on
all
SS Id
th
,
}
tells
2
.
Sids hit
,
Area
O
es
,
IT
-
}
.
xln
=
-
2) whih
,
again D
:
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so
it
.
A gooder
Again ,
-
knew
already
you
EE
-
so
,
2T
The
"
EE
-
:Sphid
(±
/
=
K
new
;
=
triangles
exti
ate
,
area
at os
at
he
sun
=
an
ql
is
afe
set
he
so
ts
=
f
-
it
angle
sum
to tie
greater than
f
area
the
'
it
.
triangle
!
3±z
sphe
=
41g
=
tz
-
EE
-
it
.
a
high
school
geometry
ft
.
So
new
seek to
we
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pre
xi
,
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?§p¥o[
fm
the
is )
Thr
Greens
Bt
dares
then
.
ds
't
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f
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,
Eun
-
nehwtht
&
p
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as
able
dyind
+
g
smooth
fhb
P Q
,
on
R
'
we
he
dndv
'
¥ro
ad
]ds=tz{{
'
u
=oEF2
Eu
-
dndv
,
lttedutleefoldudu
'
so
th }
qul to
s
dam
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.
we
] £6
for
¥÷ 4 Q
sfzteo [ l¥o ) ,t(F¥o)D
and
'
:
ds={{l¥u
arose
{ FEIG
E
sat
=
body
far
kg
law
We
.
bur
.
§ ;6'
Now the
Bonet
-
§ ?lsHds=
Umlauf
the
From
Gauss
th
{ µ
)ds
t
,§kdAm=2+
EE
-
IS
kdnm
:
FX
.
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