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Φ Ψ
Φ = Ψ
Φ = Ψ ` Φ∩` = Ψ∩`
` x
1
= t x
i
= 0 i = 2, . . . , n
a
11
(x
1
)
2
+ 2a
1 n+1
x
1
+ a
n+1 n+1
= 0 b
11
(x
1
)
2
+ 2b
1 n+1
x
1
+ b
n+1 n+1
= 0
a
11
b
11
=
a
1 n+1
b
1 n+1
=
a
n+1 n+1
b
n+1 n+1
.
x
1
= t x
2
= t x
i
= 0 i = 3, . . . , n
Φ Ψ A
n
α ∈ GA(A
n
) α(Φ) = Ψ A
C
n
1) Φ A
2
1
◦
9
◦
2) A
2
1
◦
9
◦
Φ {O; e
i
}
Ψ {O
0
; e
0
i
} α : A
2
→ A
2
α(O) = O
0
bα(e
i
) = e
0
i
Φ Ψ
Φ {O; e
i
}
F (x
1
, x
2
) = 0 1
◦
9
◦
α(Φ) = Ψ
α : A
2
→ A
2
Ψ {α(O); bα(e
i
)}
F (x
1
, x
2
) = 0
A
3
1) Φ A
3
90.*3.-B*3C,-/7> Φ 5 B7-3-* F 90.*3.-B*3C,-/7> Ψ <
/60 235B,*,08 .3-.-3½0-,56>,A 7- -)*B0D,- Φ = Ψ <
/60 Φ = Ψ 7- D68 6+- .38:- ` 0:**7 :*/7- 35B*,/7B- Φ∩` = Ψ∩` <
A+0358 .38:2 ` / 235B,*,08:0 x1 = t xi = 0 .30 i = 2, . . . , n .-62
)0: /-B.5D50* :,-*/7B5 7-)*1 E5D5B5*:A* 1B5D357,A:0 235B,*,08
:0 a11(x1)2 + 2a1 n+1x1 + an+1 n+1 = 0 0 b11(x1)2 + 2b1 n+1x1 + bn+1 n+1 = 0 <
7/D5 /6*D2*7 )7-
a11 a1 n+1 an+1 n+1
= = .
b11 b1 n+1 bn+1 n+1
53>0328 235B,*,08 .38:- BA+0358 ,5.30:*3 ,5 /6*D2*: 59* .38
:2 / 235B,*,08:0 x1 = t x2 = t xi = 0 .30 i = 3, . . . , n .-62)0: .3-
.-3½0-,56>,-/7> B/*C 1-¨0½0*,7-B < -6,-* D-15E57*6>/7B- ¨7-9- 27B*3
D*,08 :-,- ,570 B ÂÃ /:< 7*-3*:2 ,5 / < ²IH<
VWXYZY[Y\]Y^ km xaemfegkmfrbghia kigfgxg egftnvj Φ a Ψ k A bjlcp
kj{iht j``abbg zvkakjombibcdaw mhoa h}qmhik}mi j``abbgm nkaymbam
n
v
α ∈ GA(An ) w efa gigfgd α(Φ) = Ψ k AC n
YXY^ 1) ¹htvjt vfakjt kigfgxg egftnvj Φ k A2 dgymi |ci ljp
njbj gnbad a igovg gnbad }fjkbmbamd al heahvj 1◦ 9◦
v nv v
2) km fakcm kigfgxg egft j k A2 j``abbg z kakjombibc igx j a
n
igovg igxnjw vgxnj k bmvgigfcr j``abbcr hahimdjr vggf nabji gba ljp
nj{iht gnbad a imd ym }fjkbmbamd al heahvj 1◦ 9◦
£¤Y[¥^ *3B-* 27B*3D*,0* /6*D2*7 0E D-15E5,,-9- BA* .3*D
6-*,08 < -15*: B7-3-* <
/60 235B,*,0* 130B- Φ B 3*.*3* {O; e } /-B.5D5*7 / 235B,*,0*: 130
B- Ψ B 3*.*3* {O0; e0i} 7- 50,,-* .3*-+35E-B5,0* α : A2 → A2 -.3*
i
D*68*:-* 2/6-B08:0~ α(O) = O0 αb(ei) = e0i .*3*B-D07 Φ B Ψ <
+357,- .2/7> 130B58 Φ 0:**7 B 3*.*3* {O; e } ,*1-7-3-* 235B,*,0*
0E /.0/15 ◦ ◦ 0 .30 ,*1-7-3-: 50,,-: .3*
i
1 2
F (x , x ) = 0 1 9 α(Φ) = Ψ
-+35E-B5,00 α : A2 → A2 < -9D5 130B58 Ψ B 3*.*3* {α(O); αb(ei)} 0:**7 7-
* /5:-* 235B,*,0* F (x1, x2) = 0 <
,56-90),58 7*-3*:5 0:**7 :*/7- D68 .-B*3C,-/7* G 9- .-38D15 B A <
¹ n
YXY^ 1) htvjt egkmfrbghi kigfgxg egft vj Φ k A3 dgymi |ci
3
ljnjbj gnbad a igovg gnbad }fjkbmbamd al homn}{qmxg baym heahvj al
ÀÏ
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