Аналитическая геометрия. Шурыгин В.В. - 34 стр.

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MA
i
A
i+1
i = 1, 2, . . . , n A
k
A
k+1
MA
k
A
k+1
∠MA
k
A
k+1
∠MA
k+1
A
k
MA
i
A
i+1
i = 1, 2, . . . , n ∠MA
i
A
i+1
∠MA
i+1
A
i
π
2
∠MA
2
A
1
>
π
2
∠MA
2
A
3
<
π
2
∠MA
3
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π
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∠MA
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π
2
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M M =
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i
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−−→
MA
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A
i
(r
i+1
, r
i+1
− r
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) 6
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P
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(r
i+1
, r
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⇐⇒ 2
P
n
i=1
r
2
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− 2
P
n
i=1
(r
i+1
, r
i
) 6 0
⇐⇒
P
n
i=1
(r
i+1
− r
i
)
2
6 0
•
• •
•
•
•
•
A
6
A
1
A
2
A
3
A
4
A
5
O
V
3
V
2
{e
i
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1
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2
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3
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e
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b = b
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ij
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11
g
12
g
13
g
21
g
22
g
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31
g
32
g
33
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)8- b 83*2:-7?,01* M A A 2:7 ∠M A A 0 ∠M A A -+6 9b79J8K                                                                                                          k           k+1


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070 ∠M A A +-7?I* 070 36b*, =                                i       i+1                                                                                                   i       i+1

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                                                                                           π
                  i+1          i                                                           2


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.-~8-;2 ∠M A A > \-812L6 /7*L2*8\
      2   1                2
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                    P              n
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         P        n   2
                          P                          n
⇐⇒ 2               r −2        (r , r ) 6 0          i=1 i+1               i
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                  i=1 i
       P  n                                        2
⇐⇒        i=1              i+1             i

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H2/8? b .3-/836,/8b* V ‚070 V \ */70 36//;6830b6J8/9 b*18-3 ,6 :*-K
;*830)*/1-M .7-/1-/80ƒ b+36, ,*1-8-3M +6[0/ {e } = {e , e , e } ‚b /72K
                                                        3                          2

)6* .7-/1-/80 {e } = {e , e }ƒ= {)0/70; /16793,-* .3-0[b*L*,0* b*18-K                                                          i              1       2       3


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              i
                  i
                                   i
                                           j
                                                   j
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                                                                         j   ‚•_ƒ  j
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                  ij                   i       j                                                                                                       2


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76 b)0/708? ;6830 2                                                                                                                i


                                                                                  
                                                                       g11 g12 g13
                                                                                  
                                                            (gij ) =  g21 g22 g23 
                                                                       g31 g32 g33
                                                                                           –¸

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