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Âû÷èñëåíèå ñåòè òðèàíãóëÿöèè

 

Îãëàâëåíèå

Èñõîäíûå äàííûå *

Ðåøåíèå òðåóãîëüíèêîâ *

Îöåíêà òî÷íîñòè èçìåðåíèé â ñåòè *

Âû÷èñëåíèå ïîïðàâîê çà öåíòðèðîâêó è ðåäóêöèþ *

Âû÷èñëåíèå ïðèáëèæåííûõ êîîðäèíàò *

Âû÷èñëåíå ïîïðàâîê çà ðåäóöèðîâàíèå *

 

Èñõîäíûå äàííûå

¹

Íàçâàíèå

êîîðäèíàòû

Ðàññòîÿíèå

X

Y

1

Êàìåíêà

6 239 843

5 376 563

18 675 ì

2

Ëàçîðêè

6 224 833

5 387 671

 

 

 

 

Íàçâàíèå èñõîäíûõ ïóíêòîâ

Íàçâàíèå íàáëþäàåìûõ ïóíêòîâ

Óðàâíåííûå çíà÷åíèÿ èçìåðåííûõ íàïðàâëåíèé

Çíà÷åíèå íàïðàâëåíèé ïðèâåä¸ííûõ ê öåíòðàì çíàêîâ

Êàìåíêà

Lc = 0.021 m

q c = 186 o 31’

Lr = 0.008 m

q r = 9 o 38’

Ðå÷èöà

Ëàçîðêè

Ãîðíå÷êè

Ñåâàñòüÿíîâî

Êðóãëîâî

Ïðîêàòíàÿ

0 î 00’ 00.00”

31 o 17’ 36.64”

86 o 39’ 32.25”

146 o 03’ 16.98”

233 o 01’ 53.80”

295 o 38’ 59.70”

0 î 00’ 00.00”

31 o 17’ 38.08”

86 o 39’ 33.40”

146 o 03’ 18.18”

233 o 01’ 55.60”

295 o 39’ 01.71”

Ëàçîðêè

Lc = 0.074 m

q c = 289 o 26’ = Lr = 0.007 m

q r = 162 o 58’

289 o 26’

Àëååâî

Ãîðíå÷êè

Êàìåíêà

Ðå÷èöà

0 î 00’ 00.00”

173 o 34’ 57.81”

228 o 23’ 14.01”

260 o 15’ 08.79”

0 o 00’ 00.00”

173 o 35’ 01.13”

228 o 23’ 17.73”

260 o 15’ 10.53”

Ãîðíå÷êè

Lc = 0

q c = 0

Lr = 0.013 m

q r =20 o 24’

Ëàçîðêè

Ñåâàñòüÿíîâî

Êàìåíêà

0 î 00’ 00.00”

245 o 37’ 44.40”

290 o 10’ 13.01”

0 î 00’ 00.00”

245 o 37’ 44.83”

290 o 10’ 13.15”

Ñåâàñòüÿíîâî

Lc = 0

q c = 0

Lr = 0.032 m

q r = 58 o 51’

Ãîðíå÷êè

Êðóãëîâî

Êàìåíêà

0 î 00’ 00.00”

231 o 09’ 54.31”

283 o 56’ 13.55”

0 î 00’ 00.00”

231 o 09’ 54.64”

283 o 56’ 13.80”

Êðóãëîâî

Lc = 0

q c = 0

Lr = 0.019 m

q r = 0 o 10’

Êàìåíêà

Ñåâàñòüÿíîâî

Ïðîêàòíàÿ

0 î 00’ 00.00”

40 o 15’ 04.83”

307 o 33’ 14.34”

0 î 00’ 00.00”

40 o 15’ 04.59”

307 o 33’ 14.51”

Ïðîêàòíàÿ

Lc = 0.040 m

q c = 328 o 52’

Lr = 0.011 m

q r = 38 o 52’

 

Ðå÷èöà

Êàìåíêà

Êðóãëîâî

0 î 00’ 00.00”

51 o 37’ 13.42”

116 o 33’ 22.34”

0 î 00’ 00.00”

51 o 37’ 13.27”

116 o 33’ 22.43”

Ðå÷èöà

Lc = 0,070 m

q c = 116 o 00’ 6 î Lr = 0,114 m

q r = 315 î 07’

00’

Êàìåíêà

Ïðîêàòíàÿ

Ëàçîðêè

0 î 00’ 00.00”

64 o 01’ 51.55”

243 o 09’ 30.94”

0 î 00’ 00.00”

64 o 01’ 50.51”

243 o 09’ 29.81”

 

 

Ðåøåíèå òðåóãîëüíèêîâ

¹

Íàçâàíèå âåðøèí

Óãëû

Sin

Óãëîâ

Äëèíû ñòîðîí

Ñôåðè-÷åñêèå èçáûòêè

1

Ãîðíå÷êè

Êàìåíêà

Ëàçîðêè

69 o 49’ 46.85”

55 o 21’ 55.61”

54 o 48’ 16.60”

179 o 59’ 59.06”

0.938671769

0.822793775

0.817191286

k=19895.1(3)

18 675.00

16 369.59

16 258.13

303.6201778

249.8171213

e = 0.63”

2

Ñåâàñòüÿíîâî

Êàìåíêà

Ãîðíå÷êè

76 o 03’ 46.19”

59 o 23’ 44.73”

44 o 32’ 28.32”

179 o 59’ 59.24”

0.970560446

0.860704339

0.701421966

k=16751.280

16 258.13

14 417.90

11 749.72

 

191.0284752

164.4190375

e = 0.42”

 

3

Êðóãëîâî

Êàìåíêà

Ñåâàñòüÿíîâî

40 o 15’ 04.59”

86 o 58’ 36.81”

52 o 46’ 19.16”

180 o 00’ 00.57”

0.646140963

0.998608348

0.796234242

k=18184.453

11 749.72

18 159.15

14 479.08

170.1251359

169.8883890

e = 0.43”

4

Ðå÷èöà

Êàìåíêà

Ëàçîðêè

116 o 50’ 29.06”

31 o 17’ 36.64”

31 o 51’ 52.80”

179 o 59’ 58.50”

0.892259752

0.519422339

0.527914687

k=20930.004

18 675.00

10 871.51

11 049.26

206.3449305

107.1801664

e = 0.27”

5

Ïðîêàòíàÿ

Êàìåíêà

Ðå÷èöà

51 o 37’ 13.27”

64 o 21’ 00.29”

64 o 01’ 50.51”

180 o 00’ 04.08”

0.783914053

0.901455746

0.899028782

k=14094.989

11 049.26

12 706.01

12 671.80

140.0140129

126.2164384

e = 0.32

6

Êðóãëîâî

Êàìåíêà

Ïðîêàòíàÿ

52 o 26’ 45.48”

62 o 37’ 05.90”

64 o 56’ 09.16”

180 o 00’ 00.54”

0.792778890

0.887962370

0.905834248

k=15984.028

12 671.80

14 193.22

14 478.88

183.4734716

162.9175387

e = 0.41”

 

 

Îöåíêà òî÷íîñòè èçìåðåíèé â ñåòè

15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

¹

(c + r) 0

(c + r)”

r”

c”

K 1 = L 1 . r

Sin (M 1 + Q )

M 1 + Q1

M 1

Q 1

L 1

S

K = L . r

Sin (M+ Q )

M + Q

M

Ýëåìåíòû

Ôîðìóë

0.00”

-1.54”

-1.50”

-0.04”

23514.21

-0.705665493

315 o 07’

0 o 00’ 00.00”

315 o 07’

0.114

11 049.26

4331.565

-0.113492227

186 o 31’

0 o 00’ 00.00”

Ðå÷èöà

+1.44”

-0.10”

0.04”

-0.14”

14 43.855

+0.520322574

31 o 21’ 14.01”

228 o 23’ 14.01”

162 o 58’

0.007

18 675

4331.565

-0.613047403

217 o 48’ 36.64”

31 o 17’ 36.64”

Ëàçîðêè

+1.15”

-0.39”

-0.12”

-0.27”

2681.445

-0.759608763

310 o 34’ 13.01”

290 o 10’ 13.01”

20 o 24

0.013

16 258.13

4331.565

-0.998464421

273 o 10’ 32.25”

86 o 39’ 32.25”

Ãîðíå÷êè

+1.20”

-0.34”

-0.17”

-0.17”

6600.48

-0.295923167

342 o 47’ 13.55”

283 o 56’ 13.55”

58 o 51’

0.032

11 749.72

4331.565

-0.460643151

332 o 34’ 16.98”

146 o 03’ 16.98”

Ñåâàñòüÿ-íîâî

+1.80”

+0.26”

0.00”

+0.26”

3919.035

+0.002908877

0 o 10’ 00.00”

0 o 00’ 00.00”

0 o 10’

0.019

14 478.98

4331.565

+0.862056509

59 o 32’ 53.80”

233 o 01’ 53.80”

Êðóãëîâî

+2.01”

+0.47”

+0.18”

+0.29”

2268.915

+0.999963867

90 o 29’ 13.43”

51 o 37’ 13.43”

38 o 52’

0.011

12 671.80

4331.565

+0.846503812

122 o 09’ 59.70”

259 o 38’ 59.70”

Ïðîêàòíàÿ

 

Âû÷èñëåíèå ïîïðàâîê çà öåíòðèðîâêó è ðåäóêöèþ

¹

Íàçâàíèå âåðøèí

Ñôåðè÷åñêèå óãëû ïðèâåäåííûå ê öåíòðàì

W

W 2

M b

1

Ãîðíå÷êè

Êàìåíêà

Ëàçîðêè

69 o 49’ 46.85”

55 o 21’ 55.32”

54 o 48’ 16.60”

179 o 59’ 58.77”

e = + 0.63”

-0.60

0.36

0.14

2

Ñåâàñòüÿíîâî

Êàìåíêà

Ãîðíå÷êè

76 o 03’ 46.19”

59 o 23’ 44.78”

44 o 32’ 28.32”

179 o 59’ 59.30”

e = + 0.42”

-0.27

0.0729

0.06

3

Êðóãëîâî

Êàìåíêà

Ñåâàñòüÿíîâî

40 o 15’ 04.59”

86 o 58’ 37.42”

52 o 46’ 19.16”

180 o 00’ 01.17”

e = + 0.43”

+1.60

2.56

0.38

4

Ïðîêàòíàÿ

Êàìåíêà

Êðóãëîâî

64 o 56’ 09.16”

62 o 37’ 06.11”

52 o 26’ 45.48”

180 o 00’ 00.76”

e = + 0.41”

+1.16

1.3456

0.27

5

Ðå÷èöà

Êàìåíêà

Ïðîêàòíàÿ

64 o 01’ 50.51”

64 o 20’ 58.29”

51 o 37’ 13.27”

180 o 00’ 02.07”

e = + 0.32”

+2.39

5.7121

0.56

6

Ëàçîðêè

Êàìåíêà

Ðå÷èöà

31 o 51’ 52.80”

31 o 17’ 38.08”

116 o 50’ 30.19”

180 o 00’ 01.07”

e = + 0.27”

+1.33

1.7689

0.31

Òî÷íîñòü âñåé ñåòè ñîñòàâëÿåò M b = 0,81

 

Âû÷èñëåíèå ïðèáëèæåííûõ êîîðäèíàò

¹

Íàçâàíèå âåðøèí

Ñôåðè÷åñêèå óãëû ïðèâåäåííûå ê öåíòðàì

X 1

X 2

X 3

Ctg 2

Ctg 1

Ctg2+ctg 1

Y 1

Y 2

Y 3

1

Ëàçîðêè

Êàìåíêà

Ãîðíå÷êè

54 o 48’ 16.60”

55 o 21’ 55.32”

69 o 49’ 46.85”

6 224 833

6 239 843

6 224 460

0.6974629400

0.7053018800

1.3960481750

5 387 671

5 376 563

5 371 307

2

Ãîðíå÷êè

Êàìåíêà

Ñåâàñòüÿíîâî

44 o 32’ 28.32”

59 o 23’ 44.78”

76 o 03’ 46.19”

6 224 460

6 239 483

6 237 452

0.5914979520

1.0161447670

1.6076427190

5 371 307

5 376 563

5 365 060

3

Ñåâàñòüÿíîâî

Êàìåíêà

Êðóãëîâî

52 o 46’ 19.16”

86 o 58’ 37.42”

40 o 15’ 04.59”

6 237 452

6 239 483

6 253 843

0.0528092460

0.7598121530

0.8126214000

5 365 060

5 376 563

5 372 873

4

Êàìåíêà

Ëàçîðêè

Ðå÷èöà

31 o 17’ 38.08”

31 o 51’ 52.80”

116 o 50’ 30.19”

6 239 843

6 224 833

6 235 668

1.6087777530

1.6451048730

3.2538826260

5 376 563

5 387 671

5 386 792

5

Êàìåíêà

Ðå÷èöà

Ïðîêàòíàÿ

64 o 20’ 58.29”

64 o 01’ 50.51”

51 o 37’ 13.27”

6 239 483

6 235 668

6 248 345

0.4870695440

0.4802033620

0.9672729060

5 376 563

5 386 792

5 385 957

6

Êàìåíêà

Ïðîêàòíàÿ

Êðóãëîâî

62 o 37’ 06.11”

64 o 56’ 09.16”

52 o 26’ 45.48”

6 239 483

6 235 668

6 253 842

0.4675708630

0.5179442050

0.9856615069

5 376 563

5 385 957

5 372 874

 

Âû÷èñëåíèå ïîïðàâîê çà ðåäóöèðîâàíèå

Íàçâàíèå íàïðàâëåíèé

Õ êì

Ó êì

Õ 1 – Õ 2

1 + Ó 2

Ó 1 + 2Ó 2

d 1-2

d 2-1

Êàìåíêà

6 239,843

-123,437

         

Ëàçîðêè

6 224,833

-112,329

+15,010

-359,203

-348,095

-4.55

+4.41

Ãîðíå÷êè

6 224,460

-128,693

+15,383

-357,567

-380,823

-4.87

+4.94

Ñåâàñòüÿíîâî

6 237,452

-134,940

+02,391

-381,814

-393,317

-0.77

+0.79

Êðóãëîâî

6 253,842

-127,126

-13,999

 

-374,000

-377,689

+4.42

-4.46

Ïðîêàòíàÿ

6 248,345

-114,043

-08,502

-360,917

-351,523

+2.59

-2.52

Ðå÷èöà

6 235,668

-113,208

+04,175

-360,082

-349,853

-1.27

+1.23

Ëàçîðêè

6 224,833

-112,329

         

Ãîðíå÷êè

6 224,460

-128,693

+00,373

-353,351

-369,715

-0.11

+0.12

Ðå÷èöà

6 235,668

-113,208

-10,835

-337,866

-338,745

+3.09

-3.10

Ñåâàñòüÿíîâî

6 237,452

-134,940

         

Êðóãëîâî

6 253,842

-127,126

-16,390

-397,006

-389,192

+5.49

-5.38

Ãîðíå÷êè

6 224,460

-128,693

+12,992

-398,573

-392,326

-4.37

+4.30

Ïðîêàòíàÿ

6 248,345

-114,043

         

Ðå÷èöà

6 235,668

-113,208

+12,677

-341,294

-340,459

-3.65

+3.64

Êðóãëîâî

6 253,842

-127,126

-05,497

-355,212

-368,295

+1.65

-1.71

 





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