Math 479 : Dy 5
←
Frenet
Boat
frame
hit it falls
,
got for
thtsoethshezeocwntne
canes
#
To def w/ th
little
Df A
PI
Any
Its
.
Pp
If
Prf
:
di
T
.
'
1st
R3
I→
:
§
is
0
,
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for
some
called
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twisty
,
B
parallel
to
a
'
b)
.
its )
" )
TH
=
T G)
Tls )
film
'
=
6
's)
=
fry
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sin
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also
is
al
s
:
t
,
sin
lots ) )
Bt
OHNO 's ) To 4)
,
'
pat
.
she
T G)
th
,
chief
my
&
=
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wts
.
)
genets
a
unique
a
pellet
to
parallel
uf
x
'
's )
,
th
here hsaht
,
might
w
,
ta
,
bth
Bt
.
us )
she
.
.
wztx
w
,
,
two
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.
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costa Nuys )
+
cos lots ) )
.
Tls )
.
.
ru
+
B
rddnf
.
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a
one
) I?
at HlsDames
=
rdakfpulhl
SEI
tt
)
To, H
.
sot I
red to the
is
's
wltlso )
rdekf pdhl uk
one
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cos
swath
-
&
are
its ) )
.
0
she
'
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o=
so
.
TH KSIEO
:
use
6 's)
The my smooth
Tls )
in
smrth
a
so
:
one
.
Tin
Existence
is
rf his cast at lgth
post
favorite
Unqunss
retyped
if its duh the
the
.
.
Ns )
m
aysttjfne
it day
push
,
,
No !
rektypkd
or
.
Ilea : gin
.
!
Tls )
:
paid
More
.
#
Yes
:
possible
as
noml vwtr field Tls)
:
Lent
,
Bohp frame
uthe
reunited
e.g.
,
oysjiids )
+
smlots ) )
Toils )
.
also) =3 HD tyth }
,
,
0
,
as
Now
,
T Is )
=
TvIs )
=
'
,
pals ) Tls )
-
,
uyjls )
Far
ftp.
see
T G) =L
p.
'
=
Bit then this gig
-
p,
, ,
Ip , zls)
'
0 G)
Bt
Df
:
the
, by
mkprtkr
Another
use
f
nonlvf
a
the twist rite
An
A
Df
:
fm
B
Grush
a
the integral
T 4)
'
N
'
,
Is )
Nz (s)
are
parallel
re
,
ake
)
fdm
F
)
oils ,
+
(
+ cos
lots ) p , d D) bids )
+
(
south g)
Tls )
soethy ) Its )
:
,
soltis
'
,
f
's)
.
wds )
ODES
.
the exits
,
a
sown old
& Lee
the
r
:C
.
T exist
.
,
#
is
#
=
in
'
J 's )
the
he the
=
-
-
stf
.
shore
(
a
'
G)
Tls ) ) ds
x
.
twist rte
) hs
=
Is )
trot ate
Nils ) alyxls )
correspond
+
.
.
he tnistnte =p ids )
unit vt
KHN , Is )
=
=
coslotsllwds )
+
) =L
p ds
tv
fmehs
Fact
the
rebkf
fu
.
was ) )
.
tht
rdltfpdhl fine br Bhp fm
Gun
k , & kz
is
fine ( as
arbitrary
(s)
z
Tls )
.
,
or
,
there
exile
Tw ( Tls ) xls ) )
Gy : N
p
10%1154
sin
-
(
+
.
.
twist
The
-
Is )
ODE far the
its geometry obis
new
Thu
(
spk
=
,
s.nl#p.zls))wTls )
-
to 'H )
my
pals ) I
-
Bt then
.
lot 'D 0K$
sin
a
,
)
Ids )
Pids ) WLS )
+
pods ) Tls
-
=
,
pods )
Polls ) ii lslt
'
,
=
0
.
the associated Bishop
f-
is
(
TH
=
a
'
G)
,
N ,↳l
,
Nzls)
=
TGKNGD
Tmet qwfs
y
kdswds )
kis ) Hs )
kzls) Tls )
like
cmrtu
k
tosh
.
Tuft
'
,
IT Is ) 1--1<1 , )
=
Mci
,
so
Cunt he
D
a
sat
of
radio
in
the kkz
-
plane
.
.
fr twin
As
,
nte
the
YIYST
-
so
if
wile
he
he
ask
The upshot
Df
:
We
Thy
:
is
tht
If
a
&
congruent to
{
0
son
then
,
tom
B
fom
a
,
one
I
regular
if
.
O
'
,
}
the twist rate
Nls ) in the
f
Feet fne
.
.
.
bit
jot
we
said
the
so
TH du
sat
( k it the noml
one
I
¥
ST
&
R
all the
,
Fette
ink
tut nte
.
&
cos o
=
their +1¥ In
swath
Raf
it
f
polar cooks
develop
( ones
in
in
mtfk
R3 with
the mind
.
develop
the
-
one
x
to
Bishop
ants
k.kz plane
Ik kd
,
,
.
.
hmg coefficients k
&
([ #
are
, ,
any
k
,
rut
4h I
,
in
then
,
Ri
,
.
a
D