Аналитическая геометрия. Часть I. Шурыгин В.В. - 90 стр.

UptoLike

Составители: 

e(ϕ) = i cos ϕ + j sin ϕ M
{O; i, j}
x = ρ cos ϕ, y = ρ sin ϕ.
M
M 6= O ϕ
2πk k Z M = O ϕ
ρ
(ρ; ϕ)
(ρ; ϕ + π)
M
(ρ; ϕ) ϕ
ρ
`
O
a
M
ϕ
O F
                       = H-~8-;2 .39;-2:-7?,* 1--3L0,68 8-)10 M -8K
e(ϕ) = i cos ϕ + j sin ϕ
,-/08*7?,- 3*.*36            /b9[6, / ** .-793,;0 1--3L0,686;0 /7*L2K
                     {O; i, j}
J}0;0 /--8,-I*,09;0†
                          x = ρ cos ϕ, y = ρ sin ϕ.                ‚`ڃ
—[ 236b,*,0M ‚`ڃ b0L,-\ )8- .39;-2:-7?,* 1--3L0,68 8-)10 M -L,-K
[,6),- -.3*L*79J8/9 .- ** .-793,; 1--3L0,686;= ˆL,61- -+368,-* ,*
0;**8 ;*/86= ¼/70 M 6= O \ 8- ϕ -.3*L*79*8/9 / 8-),-/8?J L- /76:6*;-:-\
1368,-:- 2πk \ k ∈ Z \ 6 */70 M = O \ 8- ϕ ;-|*8 +8? 7J+; b*}*/8b*,K
,; )0/7-;= P3-;* 8-:-\ 0,-:L6 2L-+,- /)0868?\ )8- ρ ;-|*8 .30,0;68?
0 -830 68*7?,* [,6)*,09 = H30 ~8-; /)086*8/9\ )8- 1--3L0,68 (ρ; ϕ) 0
                                      )
(−ρ; ϕ + π) [6L6J8 -L,2 0 82 |* 8- 12 ‚~8- ;-|,- .-9/,08? /7*L2J}0;
-+36[-;† )8-+ ,6M80 ,6 .7-/1-/80 8-)12 M / .-793,;0 1--3L0,686;0
(ρ; ϕ) \ ,2|,- .-b*3,28? .-793,2J -/? b-132: .-7J/6 ,6 2:-7 ϕ 0 [68*;
-87-|08? ,6 ,*M 8-)12 / 1--3L0,68-M ρƒ=

                                             M

                                     ϕ
                                 O       a       `↑
                              Ç0/= òò=
   H30 b+-3* .-793,-M /0/8*; 1--3L0,68 L79 0[2)*,09 ~770./6\ :0.*3K
+-7 070 .636+-7 */8*/8b*,,- 36/.-76:68? .-7J/ 070 b ,6)67* 16,-,0K
)*/1-M /0/8*; 1--3L0,68\ 070 b O-12/* 36//;6830b6*;-M 130b-M\ 6 b 16K
)*/8b* .-793,-M -/0 */8*/8b*,,- +368? -/? 6+/ 0// 16,-,0)*/1-M /0/8*;
1--3L0,68=
   { ~8-; .636:36O* ; 36//;-830; /7*L2J}2J .-793,2J /0/8*;2 1--3K
L0,68\ 2L-+,2J L79 -L,-b3*;*,,-:- 0[2)*,09 0 ~770./6\ 0 :0.*3+-7\ 0
.636+-7† .-7J/ O .-;*}6*; b O-12/ F .636+-7\ 7*bM O-12/ ~770./6
0 b .36bM O-12/ :0.*3+-7 ‚-8,-/08*7?,- 16,-,0)*/1-M /0/8*; 1--3L0K
,68ƒ\ 6 b 16)*/8b* .-793,-M -/0 +*3*; -/? 6+/ 0// 16,-,0)*/1-M /0/8*;
1--3L0,68 ‚/;= 30/= ò_ƒ= „610* .-793,* /0/8*; 1--3L0,68 ,6N-L98 .30K
;*,*,0* b 6/83-,-;00\ .-/1-7?12 836*18-309;0 ,*+*/,N 8*7\ .30+70|6K
                                    ÙÝ