Аналитическая геометрия. Часть I. Шурыгин В.В. - 92 стр.

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ρ
L
D
M
F
1
= OK
ρ =
−p
1 + e cos ϕ
.
Γ ⊂ A
n
r = r(t) t
(α; β) ⊂ R r(t)
Γ t ∈ (α; β)
r(t) Γ
r = r(t) Γ ⊂ A
n
t = t(τ)
(γ; δ) 3 τ 7→ t(τ) ∈ (α; β)
r = r(τ) = r(t(τ))
Γ
A
n
{O; e
i
} r(t) =
x
i
(t)e
i
x
i
= x
i
(t)
   ðÍwÍñÍ ÊZ {b*/80 /7*L2J}**
236b,*,0* 7*b-M b*8b0 :0.*3+-7 b
~8-M |* .-793,-M /0/8*;* 1--3L0K                  M
                                                                   L
,68 ‚.-7J/ ,6N-L08/9 b .36b-; O-K
12/*\6 .-793,69 -/? /-b.6L6*8 / -/?J
6+/ 0// 16,-,0)*/1-M /0/8*; 1--3K
                                                             K F1 = O          ρ

L0,68Ġ
                                                                   D
                                                        Ç0/= òã=
                  −p
            ρ=             .
   àxyuµxXwSxµÍ´ ™WzxTÍzSTÍá â•ä \
               1 + e cos ϕ

:76b6 @@\ åòÅ âòä \ :76b6 _\ åÆ=
   ðÍwÍñW W S³T͚XxXW´á â]ä \ •^_\ •^ã\ •^`\ •••\ ••]\ ••Ú\ Æã^\ Æã•\ Æã]\ ÆãÆ\
ÆãÚ\ Æãò\ Æã_\ Æa^\ Æa]\ ÆaÆ\ ÆaÚ\ Æaò\ ÆaaÅ âÚä \ 8*;6 ••=
c $lilegip+eofpe ilqkekp 1nnpmol4 pmei2hnj p mlil2h
      nj '
H636;*830)*/10; 236b,*,0*; 70,00 Γ ⊂ A b 6OO0,,-; .3-/836,/8b* ,6K
[b6J8 236b,*,0* b0L6 r = r(t) \ :L* t · b*}*/8b*,,M .636;*83\ .30,0;6K
                                             n


J}0M [,6)*,09 0[ ,*1-8-3-:- 0,8*3b676 (α; β) ⊂ R \ 6 r(t) · 36L02/Kb*18-3
,*1-8-3-M 8-)10 70,00 Γ .30 7J+-; [,6)*,00 t ∈ (α; β) = ˆ+76/8? [,6)*,0M
O2,1 00 r(t) ;-|*8 ,* /-b.6L68? /- b/*M 70,0*M Γ \ 8- */8? ~86 O2,1 09
;-|*8 .636;*830[-b68? 8-7?1- )6/8? 70,00= { [6b0/0;-/80 -8 3*I6*;-M
[6L6)0 .3*L.-76:6*8/9 861|*\ )8- ~86 O2,1 09 2L-b7*8b-39*8 ,*1-8-3;
L-.-7,08*7?,; 2/7-b09;\ ,6.30;*3† 9b79*8/9 0,*180b,-M 070 +0*180bK
,-M\ ,*.3*3b,-M 070 12/-),-KL0OO*3*, 032*;-M 0 8= .= ˆ)*b0L,-\ .636K
;*830)*/1-* 236b,*,0* 70,00 -.3*L*79*8/9 ,*-L,-[,6),- = €6.30;*3\ */70
                     )
r = r(t) · .636;*830 */1-* 236b,*,0* ,*1-8-3-M 70,00 Γ ⊂ A \ 6 t = t(τ )
· ,*1-8-369 b[60;,- -L,-[,6),69 O2,1 09\ (γ; δ) 3 τ )7→ t(τ ) ∈ (α; β) \ 8-
                                                                   n


236b,*,0* r = r(τ ) = r(t(τ )) 861|* 9b79*8/9 .636;*830 */10; 236b,*,0*;
70,00 Γ =
   ¼/70 b .3-/836,/8b* A b+36, 3*.*3 {O; e } \ 8-\ 36[7-|*,09 r(t) =
 i
     i
                            n
                                              )
x (t)e -.3*L*79J8 1--3L0,68,* .636;*830 */10* 236b,*,09 x = x (t) \
                                                   i
                                                                       i   i

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