Аналитическая геометрия. Часть III. Многомерные пространства. Гиперповерхности второго порядка. Шурыгин В.В. - 96 стр.

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S
A
V
A
0
B
U
B
0
C
C
0
W
π
2
π
0
2
ABC A
0
B
0
C
0
U V
W ` = π
2
∩ π
0
2
ABC A
0
B
0
C
0
P
2
A = [a] B = [b] C = [c] A
0
= [a
0
] B
0
= [b
0
] C
0
= [c
0
]
S = [s]
s = λa + λ
0
a
0
, s = µb + µ
0
b
0
, s = νc + ν
0
c
0
.
U = [u] u = λa −µb =
µ
0
b
0
−λ
0
a
0
[u]
AB A
0
B
0
V = [v] v = µb −νc = ν
0
c
0
−µ
0
b
0
W = [w]
w = νc−λa = λ
0
a
0
−ν
0
c
0
u v w
u + v +w = (λa −µb) +(µb −νc)+(νc −λa) = 0
u v w U V W
` = UW
A
2
= P
2
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A
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ABkA
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B
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@-“,- /)0757>  )7- 7*-3*:2 ,5D- D-15E57> D68 .3-/735,/7B5 P 35E:*3
,-/70 DB5< ’2/7> A = [a]  B = [b]  C = [c]  A0 = [a0]  B 0 = [b0]  C 0 = [c0] 0
                                                                         2

         
S = [s] < :*‡7 :*/7- /6*D2‡ˆ0* 60,*”,A* E5B0/0:-/70 B*17-3-B

                s = λa + λ0 a0 ,   s = µb + µ0 b0 ,       s = νc + ν 0 c0 .
  A)0758 0E .*3B-9- 35B*,/7B5 B7-3-*  .-62)0: U = [u]  9D* u = λa − µb =
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AB 0 A0 B 0 < ,56-90 ,-  BA 0758 0E B7-3-9- 35B*,/7B5 73*7>*  5 .-7-: 0E
73*7>*9- .*3B-*  .-62)0: V = [v]  9D* v = µb − νc = ν 0c0 − µ0b0  W = [w] 
9D* w = νc−λa = λ0a0 −ν 0c0 < 165DAB58 7*.*3> B*17-3A u  v 0 w  .-62)0:
u + v + w = (λa − µb) + (µb − νc) + (νc − λa) = 0 < 510: -+35E-:  B*17-3A
                                             )
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ABkA B  ACkA C
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