3-klass triangulyat


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II. Shartli tenglamalarni tuzish.
Birinchi guruh shartli tenglamalari.
Shakl shartli tenglamalari:
1.(1) + (2) + (11) +W1 = 0
2. (3) + (4) + (12) +W2 = 0
3. (5) + (6) + (13) +W3 = 0
4. (7) + (8) + (14) +W4 = 0
5. (9) + (10) + (15) +W5 = 0
Ikkinchi guruh shartli tenglamalari.
Gorizont shartli tenglamasi.
6.(11) + (12) + (13) + (14) +(15) +W6 = 0
Burchak yig‘indi sharti.
7. (2) + (3) +W7 = 0
8. (4) + (5) +W8 = 0
Qutb shartli tenglamasi.
9.
– δ1(1) + δ2(2) – δ3(3) + δ4(4) – δ5(5) + δ6(6) – δ7(7) + δ8(8) – δ9(9) + δ10(10) + +W9 = 0
Tomonlar shartli tenglamasi.
101(1) – δ4(4) – δ11(11) + δ12(12) + W10 = 0;
11. δ3(3) – δ6(6) – δ12(12) + δ13(13) + W11 = 0;


III. Birinchi guruh tenglamalarini yechish.
9-jadval

Uchbur. №

Burchak-lar №

Keltirilgan burchaklar

Birlamchi
tuzatma
(V'')

Birlamchi tuzatma hisobiga tuzatil-gan burchaklar

Ikkilamchi tuzatma
(V")

Tenglashtiril-gan burchaklar

I


1
2
11

39° 16' 33,19"
23° 50' 29,37"
116°52'47,51"

+3,31
+3,31
+3,31

39° 16' 36,5"
23° 50' 32,68"
116°52'50,82"

+6,76
-1,13
-5,63

39° 16' 43,26"
23° 50' 31,55"
116°52'45,19"

II



3
4
12

179°59'50,07"
W1= - 9,93

62° 37' 25,70"


70° 17' 02,45"
47° 05' 30,70"

+9,93

+0,38
+0,38
+0,39


180°00'00,00"
62° 37' 26,08"
70° 17' 02,83"
47° 05' 31,09"

0
+1,22
-2,92
+1,70

180°00'00,00"
62° 37' 27,30"
70° 16' 59,91"
47° 05' 32,79"

III


5
6
13

179°59'58,85"
W2= - 1,15

59° 26' 48,31"


54° 22' 55,94"
66° 10' 23,75"

+1,15

-2,67
-2,66
-2,67


180°00'00,00"
59° 26' 45,64"
54° 22' 53,28"
66° 10' 21,08"

0
+3,19
-7,75
+4,56

180°00'00,00"
59° 26' 48,83"
54° 22' 45,53"
66° 10' 25,64"

IV


7
8
14

180°00'08,00"
W3= +8,00

36° 17' 50,95"


89° 29' 50,24"
54° 12' 09,15"

-8,00

+3,22
+3,22
+3,22


180°00'00,00"
36° 17' 54,17"
89° 29' 53,46"
54° 12' 12,37"

0
-5,32
+3,94
+1,38

180°00'00,00"
36° 17' 48,85"
89° 29' 57,40"
54° 12' 13,75"

V


9
10
15

179°59'50,34"
W4 = -9,66

54° 59' 18,62"


49° 21' 45,92"
75° 39' 08,89"

+9,66

-4,48
-4,47
-4,48


180°00'00,00"
54° 59' 14,14"
49° 21' 41,45"
75° 39' 04,41"

0
-4,26
+6,29
-2,03

180°00'00,00"
54° 59' 09,88"
49° 21' 47,74"
75° 39' 02,38"








180°00'13,43"
W5 = +13,43

-13,43


180°00'00,00"

0

180°00'00,00"



IV. Ikkinchi guruh shartli tenglamalarining ozod xadlarini hisoblash.
1. Gorizont shartli tenglamasining ozod xadini hisoblash.
W6 =[11 + 12 + 13 + 14 +15 ] – 360°
10-jadval

Burchaklar №

Birlamchi tuzatma kiritilgan burchaklar

11
12
13
14
15

116°52'50,82"
47° 05' 31,09"
66° 10' 21,08"
54° 12' 12,37"
75° 39' 04,41"



359° 59' 59,77"
W6 = - 0,23

2. Burchak yig‘indi shartli tenglamasining ozod xadini hisoblash.


W7 = [2+3] - [αAV ± 180° - αVS]
W7 = [23° 50' 32,68"+ 62° 37' 26,08"] - [67° 21' 21'' + 180° - 160° 53' 21''] = +1,23"
W8 = [4+5] - [αVS ± 180° - αSD]
W8 = [70° 17' 02,83" + 59° 26' 45,64"] - [160° 53' 21'' + 180° - 211° 09' 36'']=+3,47"
3. Qutb shartli tenglamasining ozod xadini hisoblash.

11-jadval

Burchak-lar №

Birlamchi tuzatma kiritil-gan burchaklar

Burchaklar lg Sin



δ

Burchak-lar №

Birlamchi tuzatma kiritilgan burchaklar

Burchaklar lg Sin



δ

2
4
6
8
10

23° 50' 32,68"
70° 17' 02,83"
54° 22' 53,28"
89° 29' 53,46"
49° 21' 41,45"

9,606620
9,973764
9,910044
9,999983
9,880147

4,76
0,76
1,51
0,02
1,81

1
3
5
7
9

39° 16' 36,5"
62° 37' 26,08"
59° 26' 45,64"
36° 17' 54,17"
54° 59' 14,14"

9,801450
9,948415
9,935079
9,772315
9,913297

2,58
1,09
1,24
2,87
1,48




1=

9,370558







2=

9,370549




W9 =∑1 - ∑2


4. Tomon shartli tenglamasining ozod xadi.






12-jadval

Burchak-lar №

Birlamchi tuzatma kiritilgan burchaklar

Burchaklar lg Sin



δ

Burchak-lar №

Birlamchi tuzatma kiritilgan burchaklar

Burchaklar lg Sin



δ

1
12

39° 16' 36,5"
47° 05' 31,09"

9,801450
9,864776

2,58
1,96

11
4

116°52'50,82"
70° 17' 02,83"

9,950340
9,973764

1,07
0,76




1=

9,666218







2=

9,924104




3
13

62° 37' 26,08"
66° 10' 21,08"

9,948415
9,961310

1,09
0,93

12
6

47° 05' 31,09"
54° 22' 53,28"

9,864776
9,910044

1,96
1,51




1=

9,909726







2=

9,774820




W10 = - 17,0 W11 = - 14,0






A]

B]

C]

D]

E]

F]

S]

Nazorat

[A

+30,00

- 6,00

- 6,00

+ 0,39

+ 4,26

- 1,62

+21,03

+21,03

[B




+12,00

- 3,00

+ 9,18

- 4,86

+ 4,14

+11,46

+11,46

[C







+12,00

- 1,38

- 3,48

+ 1,44

- 0,42

- 0,42

[D










+44,29

- 9,77

- 3,51

+39,20

+39,20

[E













+ 7,30

- 3,49

-10,05

-10,04

[F
















+ 7,83

+ 4,79

+ 4,79

VI. Normal tenglama koeffitsiyentlari hisoblash. 13-jadval

V. Ikkinchi guruh shartli tenglamasining o‘zgartirilgan koeffitsiyentlarini hisoblash.
14 -jadval

uchbur. №

Burch. №

a

b

C

d

e

f




A/K1

B/K2

C/K3

D/K4

E/K5

F/K6

S

2-chi tuzatma V"

V"2

I

1
2
11

+1

+1





-2,58
+4,76

+2,58

+1,07








-1
-1
+2

-1
+2
-1




-3,31
+4,04
-0,73

+1,36
-1,22
-0,14




-3,95
+3,82
+0,13

+6,76
-1,13
-5,63

45,70
1,28
31,70






+1

+1




2,18

3,65







0

0




0

0




0

0




II

3
4
12

+1

+1

+1


-1,09
0,76



-0,76
+1,96



+1,09

-1,96





-1
-1
+2

+2
-1
-1

-1
+2
-1

-0,98
+0,87
+0,11

-0,40
-1,16
+1,56

+1,38
+0,29
-1,67

0
0
0

+1,22
-2,92
+1,70

1,49
8,53
2,89






+1

+1

+1

-0,33

+1,20

-0,87




0

0

0

0

0

0

0

0




III

5
6
13

+1




+1

-1,24
+1,51




-1,51
+0,93






-1
-1
+2




+2
-1
-1

-1,33
+1,42
-0,09




+0,19
-1,32
+1,13

-0,14
-1,9
+2,04

+3,19
-7,75
+4,56

10,18
60,06
20,79






+1




+1

+0,27




-0,58




0




0

0




0

0

0




IV

7
8
14

+1







-2,87
+0,02










-1
-1
+2







-1,92
+0,97
+0,95







-2,92
-0,03
+2,95

-5,32
+3,94
+1,38

28,30
15,52
1,90






+1







-2,85










0







0







0

0




V

9
10
15

+1







-1,48
+1,81










-1
-1
+2







-1,59
+1,70
-0,11







-2,59
+0,70
+1,89

-4,26
+6,29
-2,03

18,15
39,56
4,12






+1







+0,33










0







0







0

0

290,17




W

-0,23

+1,23

+3,47

+9,0

-17,0

-14,0




+0,05

-0,28

-0,80

+9,0

-17,0

-14,0











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