lucrare de disertatie_anexa 1

7/26/2019 Lucrare de Disertatie_Anexa 1

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Ing. Codruț George Benedic Lucrare de Disertație

Masterat Geomatică

Facultatea de Geodezie - U.T.C.B. 127

Anexa nr. 1

Valorile nodurilor rețelei de meridiane și paralele, calculate în programul „Excel ”

Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + · 0 0 0,000000 0,000 0,000 0,0000000 0,0000000

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20 0 15,7841903 0,000 2453585,882 1,0744880 1,0744880

30 0 23,8267706 0,000 3643853,564 1,5707963 1,5707963

40 0 32,0711998 0,000 4789399,149 2,0193768 2,0193768

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89 0 85,9270361 0,000 8997266,899 3,1411142 3,1411142

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- 40 0 - 32,0711998 0,000 - 4789399,149 - 2,0193768 - 2,0193768

- 50 0 - 40,6289306 0,000 - 5873471,955 - 2,4065996 - 2,4065996

- 60 0 - 49,6750041 0,000 - 6876758,990 - 2,7206990 - 2,7206990

- 70 0 - 59,5317208 0,000 - 7774469,603 - 2,9521314 - 2,9521314

- 80 0 - 70,9778335 0,000 - 8527486,032 - 3,0938648 - 3,0938648

- 89 0 - 85,9270361 0,000 - 8997266,899 - 3,1411142 - 3,1411142

0 10 0,000000 1002227,539 0,000 0,0000000 0,0000000

10 10 7.8633516 992803,768 1234041,345 0,5455318 0,5455318

20 10 15,7841903 964436,633 2453585,882 1,0744880 1,0744880

30 10 23,8267706 916808,705 3643853,564 1,5707963 1,5707963

40 10 32,0711998 849276,518 4789399,149 2,0193768 2,0193768

50 10 40,6289306 760633,186 5873471,955 2,4065996 2,406599660 10 49,6750041 648563,931 6876758,990 2,7206990 2,7206990

70 10 59,5317208 508190,758 7774469,603 2,9521314 2,9521314

80 10 70,9778335 326659,961 8527486,032 3,0938648 3,0938648

89 10 85,9270361 71184,990 8997266,899 3,1411142 3,1411142

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0 - 10 0,000000 - 1002227,539 0,000 0,0000000 0,0000000

10 - 10 7,8633516 - 992803,768 1234041,345 0,5453318 0,5453318

20 - 10 15,7841903 - 964436,633 2453585,882 1,0744880 1,0744880

30 - 10 23,8267706 - 916808,705 3643853,564 1,5707963 1,5707963

40 - 10 32,0711998 - 849276,518 4789399,149 2,0193768 2,0193768

50 - 10 40,6289306 - 760633,186 5873471,955 2,4065996 2,4065996

60 - 10 49,6750041 - 648563,931 6876758,990 2,7206990 2,7206990

70 - 10 59,5317208 - 508190,758 7774469,603 2,9521314 2,9521314

80 - 10 70,9778335 - 326659,961 8527486,032 3,0938648 3,0938648

89 - 10 85,9270361 - 71184,990 8997266,899 3,1411142 3,1411142

- 10 - 10 - 7,8633516 - 992803,768 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 10 - 15,7841903 - 964436,633 - 2453585,882 - 1,0744880 - 1,0744880




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

- 30 - 10 - 23,8267706 - 916808,705 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 10 - 32,0711998 - 849276,518 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 10 - 40,6289306 - 760633,186 - 5873471,955 - 2,4065996 - 2,4065996- 60 - 10 - 49,6750041 - 648563,931 - 6876758,990 - 2,7206990 - 2,7206990

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- 80 - 10 - 70,9778335 - 326659,961 - 8527486,032 - 3,0938648 - 3,0938648

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10 20 7.8633516 1985607,537 1234041,345 0,5455318 0,5455318

20 20 15,7841903 1928873,265 2453585,882 1,0744880 1,0744880

30 20 23,8267706 1833617,411 3643853,564 1,5707963 1,5707963

40 20 32,0711998 1698553,037 4789399,149 2,0193768 2,0193768

50 20 40,6289306 1521266,373 5873471,955 2,4065996 2,4065996

60 20 49,6750041 1297127,862 6876758,990 2,7206990 2,7206990

70 20 59,5317208 1016381,516 7774469,603 2,9521314 2,9521314

80 20 70,9778335 653319,923 8527486,032 3,0938648 3,0938648

89 20 85,9270361 142369,980 8997266,899 3,1411142 3,1411142

- 10 20 - 7,8633516 1985607,537 - 1234041,345 - 0,5453318 - 0,5453318

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- 30 20 - 23,8267706 1833617,411 - 3643853,564 - 1,5707963 - 1,5707963

- 40 20 - 32,0711998 1698553,037 - 4789399,149 - 2,0193768 - 2,0193768

- 50 20 - 40,6289306 1521266,373 - 5873471,955 - 2,4065996 - 2,4065996

- 60 20 - 49,6750041 1297127,862 - 6876758,990 - 2,7206990 - 2,7206990

- 70 20 - 59,5317208 1016381,516 - 7774469,603 - 2,9521314 - 2,9521314

- 80 20 - 70,9778335 653319,923 - 8527486,032 - 3,0938648 - 3,0938648

- 89 20 - 85,9270361 142369,980 - 8997266,899 - 3,1411142 - 3,1411142

0 - 20 0,000000 - 2004455,077 0,000 0,0000000 0,0000000

10 - 20 7.8633516 - 1985607,537 1234041,345 0,5455318 0,545531820 - 20 15,7841903 - 1928873,265 2453585,882 1,0744880 1,0744880

30 - 20 23,8267706 - 1833617,411 3643853,564 1,5707963 1,5707963

40 - 20 32,0711998 - 1698553,037 4789399,149 2,0193768 2,0193768

50 - 20 40,6289306 - 1521266,373 5873471,955 2,4065996 2,4065996

60 - 20 49,6750041 - 1297127,862 6876758,990 2,7206990 2,7206990

70 - 20 59,5317208 - 1016381,516 7774469,603 2,9521314 2,9521314

80 - 20 70,9778335 - 653319,923 8527486,032 3,0938648 3,0938648

89 - 20 85,9270361 - 142369,980 8997266,899 3,1411142 3,1411142

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- 60 - 20 - 49,6750041 - 1297127,862 - 6876758,990 - 2,7206990 - 2,7206990

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- 89 - 20 - 85,9270361 - 142369,980 - 8997266,899 - 3,1411142 - 3,1411142

0 30 0,000000 3006682,616 0,000 0,0000000 0,0000000

10 30 7.8633516 2978411,305 1234041,345 0,5455318 0,5455318

20 30 15,7841903 2893309,898 2453585,882 1,0744880 1,0744880

30 30 23,8267706 2750426,116 3643853,564 1,5707963 1,5707963

40 30 32,0711998 2547829,555 4789399,149 2,0193768 2,0193768

50 30 40,6289306 2281899,559 5873471,955 2,4065996 2,4065996

60 30 49,6750041 1945691,793 6876758,990 2,7206990 2,7206990

70 30 59,5317208 1524572,274 7774469,603 2,9521314 2,9521314

80 30 70,9778335 979979,884 8527486,032 3,0938648 3,0938648




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

89 30 85,9270361 213554,970 8997266,899 3,1411142 3,1411142

- 10 30 - 7,8633516 2978411,305 - 1234041,345 - 0,5453318 - 0,5453318

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20 - 30 15,7841903 - 2893309,898 2453585,882 1,0744880 1,0744880

30 - 30 23,8267706 - 2750426,116 3643853,564 1,5707963 1,5707963

40 - 30 32,0711998 - 2547829,555 4789399,149 2,0193768 2,0193768

50 - 30 40,6289306 - 2281899,559 5873471,955 2,4065996 2,4065996

60 - 30 49,6750041 - 1945691,793 6876758,990 2,7206990 2,7206990

70 - 30 59,5317208 - 1524572,274 7774469,603 2,9521314 2,9521314

80 - 30 70,9778335 - 979979,884 8527486,032 3,0938648 3,0938648

89 - 30 85,9270361 - 213554,970 8997266,899 3,1411142 3,1411142

- 10 - 30 - 7,8633516 - 2978411,305 - 1234041,345 - 0,5453318 - 0,5453318

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- 50 - 30 - 40,6289306 - 2281899,559 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 30 - 49,6750041 - 1945691,793 - 6876758,990 - 2,7206990 - 2,7206990

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- 80 - 30 - 70,9778335 - 979979,884 - 8527486,032 - 3,0938648 - 3,0938648- 89 - 30 - 85,9270361 - 213554,970 - 8997266,899 - 3,1411142 - 3,1411142

0 40 0,000000 4008910,155 0,000 0,0000000 0,0000000

10 40 7.8633516 3971215,074 1234041,345 0,5455318 0,5455318

20 40 15,7841903 3857746,531 2453585,882 1,0744880 1,0744880

30 40 23,8267706 3667234,822 3643853,564 1,5707963 1,5707963

40 40 32,0711998 3397106,073 4789399,149 2,0193768 2,0193768

50 40 40,6289306 3042532,745 5873471,955 2,4065996 2,4065996

60 40 49,6750041 2594255,724 6876758,990 2,7206990 2,7206990

70 40 59,5317208 2032763,032 7774469,603 2,9521314 2,9521314

80 40 70,9778335 1306639,846 8527486,032 3,0938648 3,0938648

89 40 85,9270361 284739,960 8997266,899 3,1411142 3,1411142

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- 30 40 - 23,8267706 3667234,822 - 3643853,564 - 1,5707963 - 1,5707963

- 40 40 - 32,0711998 3397106,073 - 4789399,149 - 2,0193768 - 2,0193768

- 50 40 - 40,6289306 3042532,745 - 5873471,955 - 2,4065996 - 2,4065996

- 60 40 - 49,6750041 2594255,724 - 6876758,990 - 2,7206990 - 2,7206990

- 70 40 - 59,5317208 2032763,032 - 7774469,603 - 2,9521314 - 2,9521314

- 80 40 - 70,9778335 1306639,846 - 8527486,032 - 3,0938648 - 3,0938648

- 89 40 - 85,9270361 284739,960 - 8997266,899 - 3,1411142 - 3,1411142

0 - 40 0,000000 - 4008910,155 0,000 0,0000000 0,0000000

10 - 40 7.8633516 - 3971215,074 1234041,345 0,5455318 0,5455318

20 - 40 15,7841903 - 3857746,531 2453585,882 1,0744880 1,0744880

30 - 40 23,8267706 - 3667234,822 3643853,564 1,5707963 1,5707963

40 - 40 32,0711998 - 3397106,073 4789399,149 2,0193768 2,0193768

50 - 40 40,6289306 - 3042532,745 5873471,955 2,4065996 2,4065996




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

60 - 40 49,6750041 - 2594255,724 6876758,990 2,7206990 2,7206990

70 - 40 59,5317208 - 2032763,032 7774469,603 2,9521314 2,9521314

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- 80 - 40 - 70,9778335 - 1306639,846 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 40 - 85,9270361 - 284739,960 - 8997266,899 - 3,1411142 - 3,1411142

0 50 0,000000 5011137,693 0,000 0,0000000 0,0000000

10 50 7.8633516 4964018,842 1234041,345 0,5455318 0,5455318

20 50 15,7841903 4822183,164 2453585,882 1,0744880 1,0744880

30 50 23,8267706 4584043,527 3643853,564 1,5707963 1,5707963

40 50 32,0711998 4246382,592 4789399,149 2,0193768 2,0193768

50 50 40,6289306 3803165,932 5873471,955 2,4065996 2,4065996

60 50 49,6750041 3242819,655 6876758,990 2,7206990 2,7206990

70 50 59,5317208 2540953,790 7774469,603 2,9521314 2,9521314

80 50 70,9778335 1633299,807 8527486,032 3,0938648 3,0938648

89 50 85,9270361 355924,950 8997266,899 3,1411142 3,1411142

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- 20 50 - 15,7841903 4822183,164 - 2453585,882 - 1,0744880 - 1,0744880

- 30 50 - 23,8267706 4584043,527 - 3643853,564 - 1,5707963 - 1,5707963

- 40 50 - 32,0711998 4246382,592 - 4789399,149 - 2,0193768 - 2,0193768

- 50 50 - 40,6289306 3803165,932 - 5873471,955 - 2,4065996 - 2,4065996- 60 50 - 49,6750041 3242819,655 - 6876758,990 - 2,7206990 - 2,7206990

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0 - 50 0,000000 - 5011137,693 0,000 0,0000000 0,0000000

10 - 50 7.8633516 - 4964018,842 1234041,345 0,5455318 0,5455318

20 - 50 15,7841903 - 4822183,164 2453585,882 1,0744880 1,0744880

30 - 50 23,8267706 - 4584043,527 3643853,564 1,5707963 1,5707963

40 - 50 32,0711998 - 4246382,592 4789399,149 2,0193768 2,0193768

50 - 50 40,6289306 - 3803165,932 5873471,955 2,4065996 2,4065996

60 - 50 49,6750041 - 3242819,655 6876758,990 2,7206990 2,7206990

70 - 50 59,5317208 - 2540953,790 7774469,603 2,9521314 2,952131480 - 50 70,9778335 - 1633299,807 8527486,032 3,0938648 3,0938648

89 - 50 85,9270361 - 355924,950 8997266,899 3,1411142 3,1411142

- 10 - 50 - 7,8633516 - 4964018,842 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 50 - 15,7841903 - 4822183,164 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 50 - 23,8267706 - 4584043,527 - 3643853,564 - 1,5707963 - 1,5707963

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- 50 - 50 - 40,6289306 - 3803165,932 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 50 - 49,6750041 - 3242819,655 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 50 - 59,5317208 - 2540953,790 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 50 - 70,9778335 - 1633299,807 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 50 - 85,9270361 - 355924,950 - 8997266,899 - 3,1411142 - 3,1411142

0 60 0,000000 6013365,232 0,000 0,0000000 0,0000000

10 60 7.8633516 5956822,611 1234041,345 0,5455318 0,5455318

20 60 15,7841903 5786619,796 2453585,882 1,0744880 1,0744880




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

30 60 23,8267706 5500852,232 3643853,564 1,5707963 1,5707963

40 60 32,0711998 5095659,110 4789399,149 2,0193768 2,0193768

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70 60 59,5317208 3049144,548 7774469,603 2,9521314 2,9521314

80 60 70,9778335 1959959,768 8527486,032 3,0938648 3,0938648

89 60 85,9270361 427109,940 8997266,899 3,1411142 3,1411142

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- 50 60 - 40,6289306 4563799,118 - 5873471,955 - 2,4065996 - 2,4065996

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- 80 60 - 70,9778335 1959959,768 - 8527486,032 - 3,0938648 - 3,0938648

- 89 60 - 85,9270361 427109,940 - 8997266,899 - 3,1411142 - 3,1411142

0 - 60 0,000000 - 6013365,232 0,000 0,0000000 0,0000000

10 - 60 7.8633516 - 5956822,611 1234041,345 0,5455318 0,5455318

20 - 60 15,7841903 - 5786619,796 2453585,882 1,0744880 1,0744880

30 - 60 23,8267706 - 5500852,232 3643853,564 1,5707963 1,5707963

40 - 60 32,0711998 - 5095659,110 4789399,149 2,0193768 2,0193768

50 - 60 40,6289306 - 4563799,118 5873471,955 2,4065996 2,4065996

60 - 60 49,6750041 - 3891383,586 6876758,990 2,7206990 2,7206990

70 - 60 59,5317208 - 3049144,548 7774469,603 2,9521314 2,9521314

80 - 60 70,9778335 - 1959959,768 8527486,032 3,0938648 3,0938648

89 - 60 85,9270361 - 427109,940 8997266,899 3,1411142 3,1411142

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- 89 - 60 - 85,9270361 - 427109,940 - 8997266,899 - 3,1411142 - 3,1411142

0 70 0,000000 7015592,771 0,000 0,0000000 0,0000000

10 70 7.8633516 6949626,379 1234041,345 0,5455318 0,5455318

20 70 15,7841903 6751056,429 2453585,882 1,0744880 1,0744880

30 70 23,8267706 6417660,938 3643853,564 1,5707963 1,5707963

40 70 32,0711998 5944935,628 4789399,149 2,0193768 2,019376850 70 40,6289306 5324432,304 5873471,955 2,4065996 2,4065996

60 70 49,6750041 4539947,517 6876758,990 2,7206990 2,7206990

70 70 59,5317208 3557335,306 7774469,603 2,9521314 2,9521314

80 70 70,9778335 2286619,730 8527486,032 3,0938648 3,0938648

89 70 85,9270361 498294,930 8997266,899 3,1411142 3,1411142

- 10 70 - 7,8633516 6949626,379 - 1234041,345 - 0,5453318 - 0,5453318

- 20 70 - 15,7841903 6751056,429 - 2453585,882 - 1,0744880 - 1,0744880

- 30 70 - 23,8267706 6417660,938 - 3643853,564 - 1,5707963 - 1,5707963

- 40 70 - 32,0711998 5944935,628 - 4789399,149 - 2,0193768 - 2,0193768

- 50 70 - 40,6289306 5324432,304 - 5873471,955 - 2,4065996 - 2,4065996

- 60 70 - 49,6750041 4539947,517 - 6876758,990 - 2,7206990 - 2,7206990

- 70 70 - 59,5317208 3557335,306 - 7774469,603 - 2,9521314 - 2,9521314

- 80 70 - 70,9778335 2286619,730 - 8527486,032 - 3,0938648 - 3,0938648

- 89 70 - 85,9270361 498294,930 - 8997266,899 - 3,1411142 - 3,1411142




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

0 - 70 0,000000 - 7015592,771 0,000 0,0000000 0,0000000

10 - 70 7.8633516 - 6949626,379 1234041,345 0,5455318 0,5455318

20 - 70 15,7841903 - 6751056,429 2453585,882 1,0744880 1,074488030 - 70 23,8267706 - 6417660,938 3643853,564 1,5707963 1,5707963

40 - 70 32,0711998 - 5944935,628 4789399,149 2,0193768 2,0193768

50 - 70 40,6289306 - 5324432,304 5873471,955 2,4065996 2,4065996

60 - 70 49,6750041 - 4539947,517 6876758,990 2,7206990 2,7206990

70 - 70 59,5317208 - 3557335,306 7774469,603 2,9521314 2,9521314

80 - 70 70,9778335 - 2286619,730 8527486,032 3,0938648 3,0938648

89 - 70 85,9270361 - 498294,930 8997266,899 3,1411142 3,1411142

- 10 - 70 - 7,8633516 - 6949626,379 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 70 - 15,7841903 - 6751056,429 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 70 - 23,8267706 - 6417660,938 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 70 - 32,0711998 - 5944935,628 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 70 - 40,6289306 - 5324432,304 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 70 - 49,6750041 - 4539947,517 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 70 - 59,5317208 - 3557335,306 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 70 - 70,9778335 - 2286619,730 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 70 - 85,9270361 - 498294,930 - 8997266,899 - 3,1411142 - 3,1411142

0 80 0,000000 8017820,309 0,000 0,0000000 0,0000000

10 80 7.8633516 7942430,148 1234041,345 0,5455318 0,5455318

20 80 15,7841903 7715493,062 2453585,882 1,0744880 1,0744880

30 80 23,8267706 7334469,643 3643853,564 1,5707963 1,5707963

40 80 32,0711998 6794212,147 4789399,149 2,0193768 2,0193768

50 80 40,6289306 6085065,491 5873471,955 2,4065996 2,4065996

60 80 49,6750041 5188511,448 6876758,990 2,7206990 2,7206990

70 80 59,5317208 4065526,064 7774469,603 2,9521314 2,9521314

80 80 70,9778335 2613279,691 8527486,032 3,0938648 3,093864889 80 85,9270361 569479,920 8997266,899 3,1411142 3,1411142

- 10 80 - 7,8633516 7942430,148 - 1234041,345 - 0,5453318 - 0,5453318

- 20 80 - 15,7841903 7715493,062 - 2453585,882 - 1,0744880 - 1,0744880

- 30 80 - 23,8267706 7334469,643 - 3643853,564 - 1,5707963 - 1,5707963

- 40 80 - 32,0711998 6794212,147 - 4789399,149 - 2,0193768 - 2,0193768

- 50 80 - 40,6289306 6085065,491 - 5873471,955 - 2,4065996 - 2,4065996

- 60 80 - 49,6750041 5188511,448 - 6876758,990 - 2,7206990 - 2,7206990

- 70 80 - 59,5317208 4065526,064 - 7774469,603 - 2,9521314 - 2,9521314

- 80 80 - 70,9778335 2613279,691 - 8527486,032 - 3,0938648 - 3,0938648

- 89 80 - 85,9270361 569479,920 - 8997266,899 - 3,1411142 - 3,1411142

0 - 80 0,000000 - 8017820,309 0,000 0,0000000 0,0000000

10 - 80 7.8633516 - 7942430,148 1234041,345 0,5455318 0,545531820 - 80 15,7841903 - 7715493,062 2453585,882 1,0744880 1,0744880

30 - 80 23,8267706 - 7334469,643 3643853,564 1,5707963 1,5707963

40 - 80 32,0711998 - 6794212,147 4789399,149 2,0193768 2,0193768

50 - 80 40,6289306 - 6085065,491 5873471,955 2,4065996 2,4065996

60 - 80 49,6750041 - 5188511,448 6876758,990 2,7206990 2,7206990

70 - 80 59,5317208 - 4065526,064 7774469,603 2,9521314 2,9521314

80 - 80 70,9778335 - 2613279,691 8527486,032 3,0938648 3,0938648

89 - 80 85,9270361 - 569479,920 8997266,899 3,1411142 3,1411142

- 10 - 80 - 7,8633516 - 7942430,148 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 80 - 15,7841903 - 7715493,062 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 80 - 23,8267706 - 7334469,643 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 80 - 32,0711998 - 6794212,147 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 80 - 40,6289306 - 6085065,491 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 80 - 49,6750041 - 5188511,448 - 6876758,990 - 2,7206990 - 2,7206990




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

- 70 - 80 - 59,5317208 - 4065526,064 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 80 - 70,9778335 - 2613279,691 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 80 - 85,9270361 - 569479,920 - 8997266,899 - 3,1411142 - 3,14111420 90 0,000000 9020047,848 0,000 0,0000000 0,0000000

10 90 7.8633516 8935233,916 1234041,345 0,5455318 0,5455318

20 90 15,7841903 8679929,694 2453585,882 1,0744880 1,0744880

30 90 23,8267706 8251278,349 3643853,564 1,5707963 1,5707963

40 90 32,0711998 7643488,665 4789399,149 2,0193768 2,0193768

50 90 40,6289306 6845698,677 5873471,955 2,4065996 2,4065996

60 90 49,6750041 5837075,379 6876758,990 2,7206990 2,7206990

70 90 59,5317208 4573716,822 7774469,603 2,9521314 2,9521314

80 90 70,9778335 2939939,653 8527486,032 3,0938648 3,0938648

89 90 85,9270361 640664,910 8997266,899 3,1411142 3,1411142

- 10 90 - 7,8633516 8935233,916 - 1234041,345 - 0,5453318 - 0,5453318

- 20 90 - 15,7841903 8679929,694 - 2453585,882 - 1,0744880 - 1,0744880

- 30 90 - 23,8267706 8251278,349 - 3643853,564 - 1,5707963 - 1,5707963

- 40 90 - 32,0711998 7643488,665 - 4789399,149 - 2,0193768 - 2,0193768

- 50 90 - 40,6289306 6845698,677 - 5873471,955 - 2,4065996 - 2,4065996

- 60 90 - 49,6750041 5837075,379 - 6876758,990 - 2,7206990 - 2,7206990

- 70 90 - 59,5317208 4573716,822 - 7774469,603 - 2,9521314 - 2,9521314

- 80 90 - 70,9778335 2939939,653 - 8527486,032 - 3,0938648 - 3,0938648

- 89 90 - 85,9270361 640664,910 - 8997266,899 - 3,1411142 - 3,1411142

0 - 90 0,000000 - 9020047,848 0,000 0,0000000 0,0000000

10 - 90 7.8633516 - 8935233,916 1234041,345 0,5455318 0,5455318

20 - 90 15,7841903 - 8679929,694 2453585,882 1,0744880 1,0744880

30 - 90 23,8267706 - 8251278,349 3643853,564 1,5707963 1,5707963

40 - 90 32,0711998 - 7643488,665 4789399,149 2,0193768 2,0193768

50 - 90 40,6289306 - 6845698,677 5873471,955 2,4065996 2,406599660 - 90 49,6750041 - 5837075,379 6876758,990 2,7206990 2,7206990

70 - 90 59,5317208 - 4573716,822 7774469,603 2,9521314 2,9521314

80 - 90 70,9778335 - 2939939,653 8527486,032 3,0938648 3,0938648

89 - 90 85,9270361 - 640664,910 8997266,899 3,1411142 3,1411142

- 10 - 90 - 7,8633516 - 8935233,916 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 90 - 15,7841903 - 8679929,694 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 90 - 23,8267706 - 8251278,349 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 90 - 32,0711998 - 7643488,665 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 90 - 40,6289306 - 6845698,677 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 90 - 49,6750041 - 5837075,379 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 90 - 59,5317208 - 4573716,822 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 90 - 70,9778335 - 2939939,653 - 8527486,032 - 3,0938648 - 3,0938648- 89 - 90 - 85,9270361 - 640664,910 - 8997266,899 - 3,1411142 - 3,1411142

0 100 0,000000 10022275,387 0,000 0,0000000 0,0000000

10 100 7.8633516 9928037,685 1234041,345 0,5455318 0,5455318

20 100 15,7841903 9644366,327 2453585,882 1,0744880 1,0744880

30 100 23,8267706 9168087,054 3643853,564 1,5707963 1,5707963

40 100 32,0711998 8492765,183 4789399,149 2,0193768 2,0193768

50 100 40,6289306 7606331,863 5873471,955 2,4065996 2,4065996

60 100 49,6750041 6485639,310 6876758,990 2,7206990 2,7206990

70 100 59,5317208 5081907,580 7774469,603 2,9521314 2,9521314

80 100 70,9778335 3266599,614 8527486,032 3,0938648 3,0938648

89 100 85,9270361 711849,900 8997266,899 3,1411142 3,1411142

- 10 100 - 7,8633516 9928037,685 - 1234041,345 - 0,5453318 - 0,5453318

- 20 100 - 15,7841903 9644366,327 - 2453585,882 - 1,0744880 - 1,0744880

- 30 100 - 23,8267706 9168087,054 - 3643853,564 - 1,5707963 - 1,5707963




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

- 40 100 - 32,0711998 8492765,183 - 4789399,149 - 2,0193768 - 2,0193768

- 50 100 - 40,6289306 7606331,863 - 5873471,955 - 2,4065996 - 2,4065996

- 60 100 - 49,6750041 6485639,310 - 6876758,990 - 2,7206990 - 2,7206990- 70 100 - 59,5317208 5081907,580 - 7774469,603 - 2,9521314 - 2,9521314

- 80 100 - 70,9778335 3266599,614 - 8527486,032 - 3,0938648 - 3,0938648

- 89 100 - 85,9270361 711849,900 - 8997266,899 - 3,1411142 - 3,1411142

0 - 100 0,000000 - 10022275,387 0,000 0,0000000 0,0000000

10 - 100 7.8633516 - 9928037,685 1234041,345 0,5455318 0,5455318

20 - 100 15,7841903 - 9644366,327 2453585,882 1,0744880 1,0744880

30 - 100 23,8267706 - 9168087,054 3643853,564 1,5707963 1,5707963

40 - 100 32,0711998 - 8492765,183 4789399,149 2,0193768 2,0193768

50 - 100 40,6289306 - 7606331,863 5873471,955 2,4065996 2,4065996

60 - 100 49,6750041 - 6485639,310 6876758,990 2,7206990 2,7206990

70 - 100 59,5317208 - 5081907,580 7774469,603 2,9521314 2,9521314

80 - 100 70,9778335 - 3266599,614 8527486,032 3,0938648 3,0938648

89 - 100 85,9270361 - 711849,900 8997266,899 3,1411142 3,1411142

- 10 - 100 - 7,8633516 - 9928037,685 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 100 - 15,7841903 - 9644366,327 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 100 - 23,8267706 - 9168087,054 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 100 - 32,0711998 - 8492765,183 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 100 - 40,6289306 - 7606331,863 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 100 - 49,6750041 - 6485639,310 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 100 - 59,5317208 - 5081907,580 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 100 - 70,9778335 - 3266599,614 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 100 - 85,9270361 - 711849,900 - 8997266,899 - 3,1411142 - 3,1411142

0 110 0,000000 11024502,925 0,000 0,0000000 0,0000000

10 110 7.8633516 10920841,453 1234041,345 0,5455318 0,5455318

20 110 15,7841903 10608802,960 2453585,882 1,0744880 1,074488030 110 23,8267706 10084895,759 3643853,564 1,5707963 1,5707963

40 110 32,0711998 9342041,702 4789399,149 2,0193768 2,0193768

50 110 40,6289306 8366965,050 5873471,955 2,4065996 2,4065996

60 110 49,6750041 7134203,241 6876758,990 2,7206990 2,7206990

70 110 59,5317208 5590098,338 7774469,603 2,9521314 2,9521314

80 110 70,9778335 3593259,576 8527486,032 3,0938648 3,0938648

89 110 85,9270361 783034,890 8997266,899 3,1411142 3,1411142

- 10 110 - 7,8633516 10920841,453 - 1234041,345 - 0,5453318 - 0,5453318

- 20 110 - 15,7841903 10608802,960 - 2453585,882 - 1,0744880 - 1,0744880

- 30 110 - 23,8267706 10084895,759 - 3643853,564 - 1,5707963 - 1,5707963

- 40 110 - 32,0711998 9342041,702 - 4789399,149 - 2,0193768 - 2,0193768

- 50 110 - 40,6289306 8366965,050 - 5873471,955 - 2,4065996 - 2,4065996- 60 110 - 49,6750041 7134203,241 - 6876758,990 - 2,7206990 - 2,7206990

- 70 110 - 59,5317208 5590098,338 - 7774469,603 - 2,9521314 - 2,9521314

- 80 110 - 70,9778335 3593259,576 - 8527486,032 - 3,0938648 - 3,0938648

- 89 110 - 85,9270361 783034,890 - 8997266,899 - 3,1411142 - 3,1411142

0 - 110 0,000000 - 11024502,925 0,000 0,0000000 0,0000000

10 - 110 7.8633516 - 10920841,453 1234041,345 0,5455318 0,5455318

20 - 110 15,7841903 - 10608802,960 2453585,882 1,0744880 1,0744880

30 - 110 23,8267706 - 10084895,759 3643853,564 1,5707963 1,5707963

40 - 110 32,0711998 - 9342041,702 4789399,149 2,0193768 2,0193768

50 - 110 40,6289306 - 8366965,050 5873471,955 2,4065996 2,4065996

60 - 110 49,6750041 - 7134203,241 6876758,990 2,7206990 2,7206990

70 - 110 59,5317208 - 5590098,338 7774469,603 2,9521314 2,9521314

80 - 110 70,9778335 - 3593259,576 8527486,032 3,0938648 3,0938648

89 - 110 85,9270361 - 783034,890 8997266,899 3,1411142 3,1411142




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

- 10 - 110 - 7,8633516 - 10920841,453 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 110 - 15,7841903 - 10608802,960 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 110 - 23,8267706 - 10084895,759 - 3643853,564 - 1,5707963 - 1,5707963- 40 - 110 - 32,0711998 - 9342041,702 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 110 - 40,6289306 - 8366965,050 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 110 - 49,6750041 - 7134203,241 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 110 - 59,5317208 - 5590098,338 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 110 - 70,9778335 - 3593259,576 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 110 - 85,9270361 - 783034,890 - 8997266,899 - 3,1411142 - 3,1411142

0 120 0,000000 12026730,464 0,000 0,0000000 0,0000000

10 120 7.8633516 11913645,222 1234041,345 0,5455318 0,5455318

20 120 15,7841903 11573239,593 2453585,882 1,0744880 1,0744880

30 120 23,8267706 11001704,465 3643853,564 1,5707963 1,5707963

40 120 32,0711998 10191318,220 4789399,149 2,0193768 2,0193768

50 120 40,6289306 9127598,236 5873471,955 2,4065996 2,4065996

60 120 49,6750041 7782767,172 6876758,990 2,7206990 2,7206990

70 120 59,5317208 6028289,096 7774469,603 2,9521314 2,9521314

80 120 70,9778335 3919919,537 8527486,032 3,0938648 3,0938648

89 120 85,9270361 854219,880 8997266,899 3,1411142 3,1411142

- 10 120 - 7,8633516 11913645,222 - 1234041,345 - 0,5453318 - 0,5453318

- 20 120 - 15,7841903 11573239,593 - 2453585,882 - 1,0744880 - 1,0744880

- 30 120 - 23,8267706 11001704,465 - 3643853,564 - 1,5707963 - 1,5707963

- 40 120 - 32,0711998 10191318,220 - 4789399,149 - 2,0193768 - 2,0193768

- 50 120 - 40,6289306 9127598,236 - 5873471,955 - 2,4065996 - 2,4065996

- 60 120 - 49,6750041 7782767,172 - 6876758,990 - 2,7206990 - 2,7206990

- 70 120 - 59,5317208 6028289,096 - 7774469,603 - 2,9521314 - 2,9521314

- 80 120 - 70,9778335 3919919,537 - 8527486,032 - 3,0938648 - 3,0938648

- 89 120 - 85,9270361 854219,880 - 8997266,899 - 3,1411142 - 3,14111420 - 120 0,000000 - 12026730,464 0,000 0,0000000 0,0000000

10 - 120 7.8633516 - 11913645,222 1234041,345 0,5455318 0,5455318

20 - 120 15,7841903 - 11573239,593 2453585,882 1,0744880 1,0744880

30 - 120 23,8267706 - 11001704,465 3643853,564 1,5707963 1,5707963

40 - 120 32,0711998 - 10191318,220 4789399,149 2,0193768 2,0193768

50 - 120 40,6289306 - 9127598,236 5873471,955 2,4065996 2,4065996

60 - 120 49,6750041 - 7782767,172 6876758,990 2,7206990 2,7206990

70 - 120 59,5317208 - 6028289,096 7774469,603 2,9521314 2,9521314

80 - 120 70,9778335 - 3919919,537 8527486,032 3,0938648 3,0938648

89 - 120 85,9270361 - 854219,880 8997266,899 3,1411142 3,1411142

- 10 - 120 - 7,8633516 - 11913645,222 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 120 - 15,7841903 - 11573239,593 - 2453585,882 - 1,0744880 - 1,0744880- 30 - 120 - 23,8267706 - 11001704,465 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 120 - 32,0711998 - 10191318,220 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 120 - 40,6289306 - 9127598,236 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 120 - 49,6750041 - 7782767,172 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 120 - 59,5317208 - 6028289,096 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 120 - 70,9778335 - 3919919,537 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 120 - 85,9270361 - 854219,880 - 8997266,899 - 3,1411142 - 3,1411142

0 130 0,000000 13028958,003 0,000 0,0000000 0,0000000

10 130 7.8633516 12906448,990 1234041,345 0,5455318 0,5455318

20 130 15,7841903 12537676,225 2453585,882 1,0744880 1,0744880

30 130 23,8267706 11918513,170 3643853,564 1,5707963 1,5707963

40 130 32,0711998 11040594,738 4789399,149 2,0193768 2,0193768

50 130 40,6289306 9888231,423 5873471,955 2,4065996 2,4065996

60 130 49,6750041 8431331,103 6876758,990 2,7206990 2,7206990




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

70 130 59,5317208 6606479,854 7774469,603 2,9521314 2,9521314

80 130 70,9778335 4246579,498 8527486,032 3,0938648 3,0938648

89 130 85,9270361 925404,870 8997266,899 3,1411142 3,1411142- 10 130 - 7,8633516 12906448,990 - 1234041,345 - 0,5453318 - 0,5453318

- 20 130 - 15,7841903 12537676,225 - 2453585,882 - 1,0744880 - 1,0744880

- 30 130 - 23,8267706 11918513,170 - 3643853,564 - 1,5707963 - 1,5707963

- 40 130 - 32,0711998 11040594,738 - 4789399,149 - 2,0193768 - 2,0193768

- 50 130 - 40,6289306 9888231,423 - 5873471,955 - 2,4065996 - 2,4065996

- 60 130 - 49,6750041 8431331,103 - 6876758,990 - 2,7206990 - 2,7206990

- 70 130 - 59,5317208 6606479,854 - 7774469,603 - 2,9521314 - 2,9521314

- 80 130 - 70,9778335 4246579,498 - 8527486,032 - 3,0938648 - 3,0938648

- 89 130 - 85,9270361 925404,870 - 8997266,899 - 3,1411142 - 3,1411142

0 - 130 0,000000 - 13028958,003 0,000 0,0000000 0,0000000

10 - 130 7.8633516 - 12906448,990 1234041,345 0,5455318 0,5455318

20 - 130 15,7841903 - 12537676,225 2453585,882 1,0744880 1,0744880

30 - 130 23,8267706 - 11918513,170 3643853,564 1,5707963 1,5707963

40 - 130 32,0711998 - 11040594,738 4789399,149 2,0193768 2,0193768

50 - 130 40,6289306 - 9888231,423 5873471,955 2,4065996 2,4065996

60 - 130 49,6750041 - 8431331,103 6876758,990 2,7206990 2,7206990

70 - 130 59,5317208 - 6606479,854 7774469,603 2,9521314 2,9521314

80 - 130 70,9778335 - 4246579,498 8527486,032 3,0938648 3,0938648

89 - 130 85,9270361 - 925404,870 8997266,899 3,1411142 3,1411142

- 10 - 130 - 7,8633516 - 12906448,990 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 130 - 15,7841903 - 12537676,225 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 130 - 23,8267706 - 11918513,170 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 130 - 32,0711998 - 11040594,738 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 130 - 40,6289306 - 9888231,423 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 130 - 49,6750041 - 8431331,103 - 6876758,990 - 2,7206990 - 2,7206990- 70 - 130 - 59,5317208 - 6606479,854 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 130 - 70,9778335 - 4246579,498 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 130 - 85,9270361 - 925404,870 - 8997266,899 - 3,1411142 - 3,1411142

0 140 0,000000 14031185,541 0,000 0,0000000 0,0000000

10 140 7.8633516 13899252,759 1234041,345 0,5455318 0,5455318

20 140 15,7841903 13502112,858 2453585,882 1,0744880 1,0744880

30 140 23,8267706 12835321,876 3643853,564 1,5707963 1,5707963

40 140 32,0711998 11889871,257 4789399,149 2,0193768 2,0193768

50 140 40,6289306 10648864,609 5873471,955 2,4065996 2,4065996

60 140 49,6750041 9079895,033 6876758,990 2,7206990 2,7206990

70 140 59,5317208 7114670,612 7774469,603 2,9521314 2,9521314

80 140 70,9778335 4573239,460 8527486,032 3,0938648 3,093864889 140 85,9270361 996589,860 8997266,899 3,1411142 3,1411142

- 10 140 - 7,8633516 13899252,759 - 1234041,345 - 0,5453318 - 0,5453318

- 20 140 - 15,7841903 13502112,858 - 2453585,882 - 1,0744880 - 1,0744880

- 30 140 - 23,8267706 12835321,876 - 3643853,564 - 1,5707963 - 1,5707963

- 40 140 - 32,0711998 11889871,257 - 4789399,149 - 2,0193768 - 2,0193768

- 50 140 - 40,6289306 10648864,609 - 5873471,955 - 2,4065996 - 2,4065996

- 60 140 - 49,6750041 9079895,033 - 6876758,990 - 2,7206990 - 2,7206990

- 70 140 - 59,5317208 7114670,612 - 7774469,603 - 2,9521314 - 2,9521314

- 80 140 - 70,9778335 4573239,460 - 8527486,032 - 3,0938648 - 3,0938648

- 89 140 - 85,9270361 996589,860 - 8997266,899 - 3,1411142 - 3,1411142

0 - 140 0,000000 - 14031185,541 0,000 0,0000000 0,0000000

10 - 140 7.8633516 - 13899252,759 1234041,345 0,5455318 0,5455318

20 - 140 15,7841903 - 13502112,858 2453585,882 1,0744880 1,0744880

30 - 140 23,8267706 - 12835321,876 3643853,564 1,5707963 1,5707963




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

40 - 140 32,0711998 - 11889871,257 4789399,149 2,0193768 2,0193768

50 - 140 40,6289306 - 10648864,609 5873471,955 2,4065996 2,4065996

60 - 140 49,6750041 - 9079895,033 6876758,990 2,7206990 2,720699070 - 140 59,5317208 - 7114670,612 7774469,603 2,9521314 2,9521314

80 - 140 70,9778335 - 4573239,460 8527486,032 3,0938648 3,0938648

89 - 140 85,9270361 - 996589,860 8997266,899 3,1411142 3,1411142

- 10 - 140 - 7,8633516 - 13899252,759 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 140 - 15,7841903 - 13502112,858 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 140 - 23,8267706 - 12835321,876 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 140 - 32,0711998 - 11889871,257 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 140 - 40,6289306 - 10648864,609 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 140 - 49,6750041 - 9079895,033 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 140 - 59,5317208 - 7114670,612 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 140 - 70,9778335 - 4573239,460 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 140 - 85,9270361 - 996589,860 - 8997266,899 - 3,1411142 - 3,1411142

0 150 0,000000 15033413,080 0,000 0,0000000 0,0000000

10 150 7.8633516 14892056,527 1234041,345 0,5455318 0,5455318

20 150 15,7841903 14466549,491 2453585,882 1,0744880 1,0744880

30 150 23,8267706 13752130,581 3643853,564 1,5707963 1,5707963

40 150 32,0711998 12739147,775 4789399,149 2,0193768 2,0193768

50 150 40,6289306 11409497,795 5873471,955 2,4065996 2,4065996

60 150 49,6750041 9728458,964 6876758,990 2,7206990 2,7206990

70 150 59,5317208 7622861,370 7774469,603 2,9521314 2,9521314

80 150 70,9778335 4899899,421 8527486,032 3,0938648 3,0938648

89 150 85,9270361 1067774,850 8997266,899 3,1411142 3,1411142

- 10 150 - 7,8633516 14892056,527 - 1234041,345 - 0,5453318 - 0,5453318

- 20 150 - 15,7841903 14466549,491 - 2453585,882 - 1,0744880 - 1,0744880

- 30 150 - 23,8267706 13752130,581 - 3643853,564 - 1,5707963 - 1,5707963- 40 150 - 32,0711998 12739147,775 - 4789399,149 - 2,0193768 - 2,0193768

- 50 150 - 40,6289306 11409497,795 - 5873471,955 - 2,4065996 - 2,4065996

- 60 150 - 49,6750041 9728458,964 - 6876758,990 - 2,7206990 - 2,7206990

- 70 150 - 59,5317208 7622861,370 - 7774469,603 - 2,9521314 - 2,9521314

- 80 150 - 70,9778335 4899899,421 - 8527486,032 - 3,0938648 - 3,0938648

- 89 150 - 85,9270361 1067774,850 - 8997266,899 - 3,1411142 - 3,1411142

0 - 150 0,000000 - 15033413,080 0,000 0,0000000 0,0000000

10 - 150 7.8633516 - 14892056,527 1234041,345 0,5455318 0,5455318

20 - 150 15,7841903 - 14466549,491 2453585,882 1,0744880 1,0744880

30 - 150 23,8267706 - 13752130,581 3643853,564 1,5707963 1,5707963

40 - 150 32,0711998 - 12739147,775 4789399,149 2,0193768 2,0193768

50 - 150 40,6289306 - 11409497,795 5873471,955 2,4065996 2,406599660 - 150 49,6750041 - 9728458,964 6876758,990 2,7206990 2,7206990

70 - 150 59,5317208 - 7622861,370 7774469,603 2,9521314 2,9521314

80 - 150 70,9778335 - 4899899,421 8527486,032 3,0938648 3,0938648

89 - 150 85,9270361 - 1067774,850 8997266,899 3,1411142 3,1411142

- 10 - 150 - 7,8633516 - 14892056,527 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 150 - 15,7841903 - 14466549,491 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 150 - 23,8267706 - 13752130,581 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 150 - 32,0711998 - 12739147,775 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 150 - 40,6289306 - 11409497,795 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 150 - 49,6750041 - 9728458,964 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 150 - 59,5317208 - 7622861,370 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 150 - 70,9778335 - 4899899,421 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 150 - 85,9270361 - 1067774,850 - 8997266,899 - 3,1411142 - 3,1411142

0 160 0,000000 16035640,619 0,000 0,0000000 0,0000000




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

10 160 7.8633516 15884860,296 1234041,345 0,5455318 0,5455318

20 160 15,7841903 15430986,123 2453585,882 1,0744880 1,0744880

30 160 23,8267706 14668939,286 3643853,564 1,5707963 1,570796340 160 32,0711998 13588424,293 4789399,149 2,0193768 2,0193768

50 160 40,6289306 12170130,982 5873471,955 2,4065996 2,4065996

60 160 49,6750041 10377022,895 6876758,990 2,7206990 2,7206990

70 160 59,5317208 8131052,128 7774469,603 2,9521314 2,9521314

80 160 70,9778335 5226559,383 8527486,032 3,0938648 3,0938648

89 160 85,9270361 1138959,840 8997266,899 3,1411142 3,1411142

- 10 160 - 7,8633516 15884860,296 - 1234041,345 - 0,5453318 - 0,5453318

- 20 160 - 15,7841903 15430986,123 - 2453585,882 - 1,0744880 - 1,0744880

- 30 160 - 23,8267706 14668939,286 - 3643853,564 - 1,5707963 - 1,5707963

- 40 160 - 32,0711998 13588424,293 - 4789399,149 - 2,0193768 - 2,0193768

- 50 160 - 40,6289306 12170130,982 - 5873471,955 - 2,4065996 - 2,4065996

- 60 160 - 49,6750041 10377022,895 - 6876758,990 - 2,7206990 - 2,7206990

- 70 160 - 59,5317208 8131052,128 - 7774469,603 - 2,9521314 - 2,9521314

- 80 160 - 70,9778335 5226559,383 - 8527486,032 - 3,0938648 - 3,0938648

- 89 160 - 85,9270361 1138959,840 - 8997266,899 - 3,1411142 - 3,1411142

0 - 160 0,000000 - 16035640,619 0,000 0,0000000 0,0000000

10 - 160 7.8633516 - 15884860,296 1234041,345 0,5455318 0,5455318

20 - 160 15,7841903 - 15430986,123 2453585,882 1,0744880 1,0744880

30 - 160 23,8267706 - 14668939,286 3643853,564 1,5707963 1,5707963

40 - 160 32,0711998 - 13588424,293 4789399,149 2,0193768 2,0193768

50 - 160 40,6289306 - 12170130,982 5873471,955 2,4065996 2,4065996

60 - 160 49,6750041 - 10377022,895 6876758,990 2,7206990 2,7206990

70 - 160 59,5317208 - 8131052,128 7774469,603 2,9521314 2,9521314

80 - 160 70,9778335 - 5226559,383 8527486,032 3,0938648 3,0938648

89 - 160 85,9270361 - 1138959,840 8997266,899 3,1411142 3,1411142- 10 - 160 - 7,8633516 - 15884860,296 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 160 - 15,7841903 - 15430986,123 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 160 - 23,8267706 - 14668939,286 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 160 - 32,0711998 - 13588424,293 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 160 - 40,6289306 - 12170130,982 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 160 - 49,6750041 - 10377022,895 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 160 - 59,5317208 - 8131052,128 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 160 - 70,9778335 - 5226559,383 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 160 - 85,9270361 - 1138959,840 - 8997266,899 - 3,1411142 - 3,1411142

0 170 0,000000 17037868,157 0,000 0,0000000 0,0000000

10 170 7.8633516 16877664,064 1234041,345 0,5455318 0,5455318

20 170 15,7841903 16395422,756 2453585,882 1,0744880 1,074488030 170 23,8267706 15585747,992 3643853,564 1,5707963 1,5707963

40 170 32,0711998 14437700,812 4789399,149 2,0193768 2,0193768

50 170 40,6289306 12930764,168 5873471,955 2,4065996 2,4065996

60 170 49,6750041 11025586,826 6876758,990 2,7206990 2,7206990

70 170 59,5317208 8639242,886 7774469,603 2,9521314 2,9521314

80 170 70,9778335 5553219,344 8527486,032 3,0938648 3,0938648

89 170 85,9270361 1210144,830 8997266,899 3,1411142 3,1411142

- 10 170 - 7,8633516 16877664,064 - 1234041,345 - 0,5453318 - 0,5453318

- 20 170 - 15,7841903 16395422,756 - 2453585,882 - 1,0744880 - 1,0744880

- 30 170 - 23,8267706 15585747,992 - 3643853,564 - 1,5707963 - 1,5707963

- 40 170 - 32,0711998 14437700,812 - 4789399,149 - 2,0193768 - 2,0193768

- 50 170 - 40,6289306 12930764,168 - 5873471,955 - 2,4065996 - 2,4065996

- 60 170 - 49,6750041 11025586,826 - 6876758,990 - 2,7206990 - 2,7206990

- 70 170 - 59,5317208 8639242,886 - 7774469,603 - 2,9521314 - 2,9521314




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

- 80 170 - 70,9778335 5553219,344 - 8527486,032 - 3,0938648 - 3,0938648

- 89 170 - 85,9270361 1210144,830 - 8997266,899 - 3,1411142 - 3,1411142

0 - 170 0,000000 - 17037868,157 0,000 0,0000000 0,000000010 - 170 7.8633516 - 16877664,064 1234041,345 0,5455318 0,5455318

20 - 170 15,7841903 - 16395422,756 2453585,882 1,0744880 1,0744880

30 - 170 23,8267706 - 15585747,992 3643853,564 1,5707963 1,5707963

40 - 170 32,0711998 - 14437700,812 4789399,149 2,0193768 2,0193768

50 - 170 40,6289306 - 12930764,168 5873471,955 2,4065996 2,4065996

60 - 170 49,6750041 - 11025586,826 6876758,990 2,7206990 2,7206990

70 - 170 59,5317208 - 8639242,886 7774469,603 2,9521314 2,9521314

80 - 170 70,9778335 - 5553219,344 8527486,032 3,0938648 3,0938648

89 - 170 85,9270361 - 1210144,830 8997266,899 3,1411142 3,1411142

- 10 - 170 - 7,8633516 - 16877664,064 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 170 - 15,7841903 - 16395422,756 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 170 - 23,8267706 - 15585747,992 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 170 - 32,0711998 - 14437700,812 - 4789399,149 - 2,0193768 - 2,0193768

- 50 - 170 - 40,6289306 - 12930764,168 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 170 - 49,6750041 - 11025586,826 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 170 - 59,5317208 - 8639242,886 - 7774469,603 - 2,9521314 - 2,9521314

- 80 - 170 - 70,9778335 - 5553219,344 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 170 - 85,9270361 - 1210144,830 - 8997266,899 - 3,1411142 - 3,1411142

0 179 0,000000 17939872,942 0,000 0,0000000 0,0000000

10 179 7.8633516 17771187,456 1234041,345 0,5455318 0,5455318

20 179 15,7841903 17263415,726 2453585,882 1,0744880 1,0744880

30 179 23,8267706 16410875,827 3643853,564 1,5707963 1,5707963

40 179 32,0711998 15202049,678 4789399,149 2,0193768 2,0193768

50 179 40,6289306 13615334,036 5873471,955 2,4065996 2,4065996

60 179 49,6750041 11609294,364 6876758,990 2,7206990 2,720699070 179 59,5317208 9096614,568 7774469,603 2,9521314 2,9521314

80 179 70,9778335 5847213,309 8527486,032 3,0938648 3,0938648

89 179 85,9270361 1274211,321 8997266,899 3,1411142 3,1411142

- 10 179 - 7,8633516 17771187,456 - 1234041,345 - 0,5453318 - 0,5453318

- 20 179 - 15,7841903 17263415,726 - 2453585,882 - 1,0744880 - 1,0744880

- 30 179 - 23,8267706 16410875,827 - 3643853,564 - 1,5707963 - 1,5707963

- 40 179 - 32,0711998 15202049,678 - 4789399,149 - 2,0193768 - 2,0193768

- 50 179 - 40,6289306 13615334,036 - 5873471,955 - 2,4065996 - 2,4065996

- 60 179 - 49,6750041 11609294,364 - 6876758,990 - 2,7206990 - 2,7206990

- 70 179 - 59,5317208 9096614,568 - 7774469,603 - 2,9521314 - 2,9521314

- 80 179 - 70,9778335 5847213,309 - 8527486,032 - 3,0938648 - 3,0938648

- 89 179 - 85,9270361 1274211,321 - 8997266,899 - 3,1411142 - 3,14111420 - 179 0,000000 - 17939872,942 0,000 0,0000000 0,0000000

10 - 179 7.8633516 - 17771187,456 1234041,345 0,5455318 0,5455318

20 - 179 15,7841903 - 17263415,726 2453585,882 1,0744880 1,0744880

30 - 179 23,8267706 - 16410875,827 3643853,564 1,5707963 1,5707963

40 - 179 32,0711998 - 15202049,678 4789399,149 2,0193768 2,0193768

50 - 179 40,6289306 - 13615334,036 5873471,955 2,4065996 2,4065996

60 - 179 49,6750041 - 11609294,364 6876758,990 2,7206990 2,7206990

70 - 179 59,5317208 - 9096614,568 7774469,603 2,9521314 2,9521314

80 - 179 70,9778335 - 5847213,309 8527486,032 3,0938648 3,0938648

89 - 179 85,9270361 - 1274211,321 8997266,899 3,1411142 3,1411142

- 10 - 179 - 7,8633516 - 17771187,456 - 1234041,345 - 0,5453318 - 0,5453318

- 20 - 179 - 15,7841903 - 17263415,726 - 2453585,882 - 1,0744880 - 1,0744880

- 30 - 179 - 23,8267706 - 16410875,827 - 3643853,564 - 1,5707963 - 1,5707963

- 40 - 179 - 32,0711998 - 15202049,678 - 4789399,149 - 2,0193768 - 2,0193768




Masterat Geomatică


Verificare

[ ⃘] [ ⃘] [ ⃘] [] [] + ·

- 50 - 179 - 40,6289306 - 13615334,036 - 5873471,955 - 2,4065996 - 2,4065996

- 60 - 179 - 49,6750041 - 11609294,364 - 6876758,990 - 2,7206990 - 2,7206990

- 70 - 179 - 59,5317208 - 9096614,568 - 7774469,603 - 2,9521314 - 2,9521314- 80 - 179 - 70,9778335 - 5847213,309 - 8527486,032 - 3,0938648 - 3,0938648

- 89 - 179 - 85,9270361 - 1274211,321 - 8997266,899 - 3,1411142 - 3,1411142

Observație:

O altă verificare care se face este înlocuirea valorilor obținute pentru și înecuația meridianelor.

Această ecuație este de forma:

2 √ 2 · · +

(√ 2 · ) = 1

Această ecuație arată că meridianele sunt elipse cu o semiaxă constantă șicealaltă semiaxă variabilă, care depinde de longitudinea .

Când = ° elipsa se transformă în cerc, iar când = ° elipsa se transformă înlinie dreaptă.

Notă:

Calculele pentru obținerea unghiului prin metoda iterației, a valorilor pentrucoordonatele rectangulare plane și , precum și verificările rezultatelor obținute pot fivizualizate în fișierele „Excel ” de pe CD - ul anexat prezentei lucrări.

lucrare de disertatie_anexa 1

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