11
COMPENSACION P CUADRILATERO ANGULO 00⁰00'01" logseno ANGULO δ1" IMPARES PARES 1 1.7951 9.8813725107 2 51º55'39" 1.65 9.8961022358 51º55'39" 3 42º40'34" 2.28 9.8311356479 42º40'34" 4 35º51'03" 2.91 9.7676581899 35º51'03" 5 35º00'53" 3.01 9.7587506284 35º00'53" 6 66º27'32" 0.92 9.9622621584 66º27'32" 7 47º27'51" 1.93 9.8673818415 47º27'51" 8 31º03'42" 3.50 9.7126163151 31º03'42" 360.004444444 17.99 39.3386406 39.33863890 16 39.3386389 2 <1 + <2 101º28'41" ANGULO <5+ <6 101º28'25" 16 <3 + <4 78º31'37" 51º55'39" <7+ <8 78º31'33" 4 42º40'34" 35º51'03" 35º00'53" 66º27'32" 47º27'51" 31º03'42" PENTAGO ANGULO 00⁰00'01" logseno ANGULO δ1" IMPARES PARES 1 60°57'42.71" 1.17 9.9416580707 60°57'42.71" 2 56°56'07.29" 1.37 9.9232724179 56°56'07.29" 3 35°49'37.29" 2.92 9.7674074826 35°49'37.29" 4 69°58'24.58" 0.77 9.9729121939 69°58'24.58" 5 71°01'48.96" 0.72 9.9757482975 71°01'48.96" 6 42°16'26.04" 2.32 9.8278055297 42°16'26.04" 7 51°07'49.17" 1.70 9.8913004 51°07'49.17" 8 74°05'07.08" 0.60 9.9830264672 74°05'07.08" 9 45°45'05.21" 2.05 9.8551063847 45°45'05.21" 10 32°00'05.21" 3.37 9.724226555 32°00'05.21" 539.969444444 16.98 49.4312206 49.43124316 62°05'49.13" 49⁰33'02" 49⁰33'02" 49⁰33'02"

Comp Aproxim Suces

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Comp Aproxim Suces

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Page 1: Comp Aproxim Suces

COMPENSACION POR APROXIMACIONES SUCESIVASCUADRILATERO CON DIAGONALES

ANGULO00⁰00'01" logseno

ANGULO00⁰00'01"

δ1" IMPARES PARES δ1"1 1.7951 9.8813725107 1.802 51º55'39" 1.65 9.8961022358 51º55'39" 1.653 42º40'34" 2.28 9.8311356479 42º40'34" 2.284 35º51'03" 2.91 9.7676581899 35º51'03" 2.915 35º00'53" 3.01 9.7587506284 35º00'53" 3.016 66º27'32" 0.92 9.9622621584 66º27'32" 0.927 47º27'51" 1.93 9.8673818415 47º27'51" 1.938 31º03'42" 3.50 9.7126163151 31º03'42" 3.50

360.004444444 17.99 39.3386406 39.33863890 17.9916 39.3386389

2

<1 + <2 101º28'41"ANGULO<5+ <6 101º28'25" 16

<3 + <4 78º31'37" 51º55'39" 51º55'32.9"<7+ <8 78º31'33" 4 42º40'34" 42º40'31.1"

35º51'03" 35º50'59.9"35º00'53" 35º00'55.1"66º27'32" 66º27'33.9"47º27'51" 47º27'50.1"31º03'42" 31º03'40.9"

PENTAGONO CON PUNTO CENTRAL

ANGULO00⁰00'01" logseno

ANGULO00⁰00'01"

δ1" IMPARES PARES δ1"1 60°57'42.71" 1.17 9.9416580707 60°57'42.71" 1.172 56°56'07.29" 1.37 9.9232724179 56°56'07.29" 1.373 35°49'37.29" 2.92 9.7674074826 35°49'37.29" 2.924 69°58'24.58" 0.77 9.9729121939 69°58'24.58" 0.775 71°01'48.96" 0.72 9.9757482975 71°01'48.96" 0.726 42°16'26.04" 2.32 9.8278055297 42°16'26.04" 2.327 51°07'49.17" 1.70 9.8913004 51°07'49.17" 1.708 74°05'07.08" 0.60 9.9830264672 74°05'07.08" 0.609 45°45'05.21" 2.05 9.8551063847 45°45'05.21" 2.05

10 32°00'05.21" 3.37 9.724226555 32°00'05.21" 3.37539.969444444 16.98 49.4312206 49.43124316 62°05'49.13"

49⁰33'02" 49⁰33'02"

ANGULO COMPENSADO

49⁰33'02" 49⁰32'56.1"

Page 2: Comp Aproxim Suces

539°58'10" 49.4312432 74°12'21.00"-22.5379 23" 66°41'06.00"

54°38'27.25"11 62°05'49.13" C1 20.870000 6.96 102°22'16.62"12 74°12'21.00" C2 -22.870000 -7.62 360.00000013 66°41'06.00" C3 39.000000 13.0014 54°46'27.25" C4 36.500000 12.1715 102°14'16.62" C5 32.960000 10.99

ANGULO360.000000 C6 0.000000 0.00360°00'00" C7 -1.3272216657 -0.13 1 60°57'42.71"

2 56°56'07.29"102°22'16.62" 3 35°49'37.29"54°38'27.25" 4 69°58'24.58"

5 71°01'48.96"6 42°16'26.04"7 51°07'49.17"8 74°05'07.08"9 45°45'05.21"

10 32°00'05.21"11 62°05'49.13"12 74°12'21.00"13 66°41'06.00"14 54°38'27.25"15 102°22'16.62"

EXAGONO CON PUNTO CENTRAL

ANGULO00⁰00'01" logseno

ANGULO00⁰00'01"

δ1" IMPARES PARES δ1"1 60°57'42.71" 1.17 9.9416580707 60°57'42.71" 1.172 56°56'07.29" 1.37 9.9232724179 56°56'07.29" 1.373 35°49'37.29" 2.92 9.7674074826 35°49'37.29" 2.924 69°58'24.58" 0.77 9.9729121939 69°58'24.58" 0.775 71°01'48.96" 0.72 9.9757482975 71°01'48.96" 0.726 42°16'26.04" 2.32 9.8278055297 42°16'26.04" 2.327 51°07'49.17" 1.70 9.8913004 51°07'49.17" 1.708 74°05'07.08" 0.60 9.9830264672 74°05'07.08" 0.609 45°45'05.21" 2.05 9.8551063847 45°45'05.21" 2.05

10 32°00'05.21" 3.37 9.724226555 32°00'05.21" 3.37539.969444444 16.98 49.4312206 49.43124316 62°05'49.13"

539°58'10" 49.4312432 74°12'21.00"-22.5379 23" 66°41'06.00"

54°38'27.25"11 62°05'49.13" C1 20.870000 6.96 102°22'16.62"12 74°12'21.00" C2 -22.870000 -7.62 360.00000013 66°41'06.00" C3 39.000000 13.00

ANGULO COMPENSADO

Page 3: Comp Aproxim Suces

14 54°46'27.25" C4 36.500000 12.1715 102°14'16.62" C5 32.960000 10.99

ANGULO360.000000 C6 0.000000 0.00360°00'00" C7 -1.3272216657 -0.13 1 60°57'42.71"

2 56°56'07.29"102°22'16.62" 3 35°49'37.29"54°38'27.25" 4 69°58'24.58"

5 71°01'48.96"6 42°16'26.04"7 51°07'49.17"8 74°05'07.08"9 45°45'05.21"

10 32°00'05.21"11 62°05'49.13"12 74°12'21.00"13 66°41'06.00"14 54°38'27.25"15 102°22'16.62"

CUADRILATERO CON PUNTO CENTRAL00⁰00'01" logseno

ANGULO00⁰00'01"

δ1" IMPARES PARES δ1"#VALUE! #VALUE! 1.80#VALUE! #VALUE! 51º55'39" 1.65#VALUE! #VALUE! 42º40'34" 2.28#VALUE! #VALUE! 35º51'03" 2.91#VALUE! #VALUE! 35º00'53" 3.01#VALUE! #VALUE! 66º27'32" 0.92#VALUE! #VALUE! 47º27'51" 1.93#VALUE! #VALUE! 31º03'42" 3.50#VALUE! #VALUE! #VALUE! 17.99

#VALUE!#VALUE!

101º28'41"ANGULO101º28'25" 16

78º31'37" 51º55'39" 51º55'32.9"78º31'33" 4 42º40'34" 42º40'31.1"

35º51'03" 35º50'59.9"35º00'53" 35º00'55.1"66º27'32" 66º27'33.9"47º27'51" 47º27'50.1"31º03'42" 31º03'40.9"

ANGULO COMPENSADO

49⁰33'02"

ANGULO COMPENSADO

49⁰33'02" 49⁰32'56.1"

Page 4: Comp Aproxim Suces

COMPENSACION POR APROXIMACIONES SUCESIVASCUADRILATERO CON DIAGONALES

logseno1ºC 2ºC 3ºC 4ºC TOTALIMPARES PARES

9.88137251 -4 -2 0.096 -5.99.89610223578 -4 -2 -0.1 -6.1

9.83113565 -1 -2 0.096 -2.99.7676581899 -1 -2 -0.1 -3.1

9.75875063 4 -2 0.096 2.19.96226215837 4 -2 -0.1 1.9

9.86738184 1 -2 0.096 -0.99.71261631514 1 -2 -0.1 -1.1

39.3386406 39.3386389039.3386389

2

PENTAGONO CON PUNTO CENTRALlogseno

1ºC 2ºC 3ºC 4ºC 5°C 6°C 7°C TOTALIMPARES PARES9.94165807 -7.0 0.00 0.13 -6.82

9.92327241791 -7.0 0.00 -0.13 -7.099.76740748 7.62 0.00 0.13 7.76

9.97291219393 7.62 0.00 -0.13 7.499.9757483 -13 0.00 0.13 -12.87

9.82780552975 -13 0.00 -0.13 -13.139.8913004 -12 0.00 0.13 -12.03

9.98302646718 -12 0.00 -0.13 -12.309.85510638 -10.99 0.00 0.13 -10.85

9.72422655499 -10.99 0.00 -0.13 -11.12-7.0 -6.96

Page 5: Comp Aproxim Suces

7.62 7.62-13 -13.00

-12 -12.17-10.99 -10.99

EXAGONO CON PUNTO CENTRALlogseno

1ºC 2ºC 3ºC 4ºC 5°C 6°C 7°C TOTALIMPARES PARES9.94165807 -7.0 0.00 0.13 -6.82

9.92327241791 -7.0 0.00 -0.13 -7.099.76740748 7.62 0.00 0.13 7.76

9.97291219393 7.62 0.00 -0.13 7.499.9757483 -13 0.00 0.13 -12.87

9.82780552975 -13 0.00 -0.13 -13.139.8913004 -12 0.00 0.13 -12.03

9.98302646718 -12 0.00 -0.13 -12.309.85510638 -10.99 0.00 0.13 -10.85

9.72422655499 -10.99 0.00 -0.13 -11.12-7.0 -6.96

7.62 7.62-13 -13.00

-12 -12.17-10.99 -10.99

Page 6: Comp Aproxim Suces

CUADRILATERO CON PUNTO CENTRALlogseno

1ºC 2ºC 3ºC 4ºC TOTALIMPARES PARES9.88137251 -4 -2 0.096 -5.9

9.89610223578 -4 -2 -0.1 -6.19.83113565 -1 -2 0.096 -2.9

9.7676581899 -1 -2 -0.1 -3.19.75875063 4 -2 0.096 2.1

9.96226215837 4 -2 -0.1 1.99.86738184 1 -2 0.096 -0.9

9.71261631514 1 -2 -0.1 -1.139.3386406 39.3386389039.3386389

2

Page 7: Comp Aproxim Suces

COMPENSACION POR MINIMOS CUADRADOSCUADRILATERO CON DIAGONALES

ANGULO00⁰00'01" logseno λ1 λ2 λ3

δ1" IMPARES PARES v1 1 11.80 9.88137251 v2 1 1

51º55'39" 1.65 9.89610224 v3 1 142º40'34" 2.28 9.83113565 v4 1 135º51'03" 2.91 9.76765819 v5 -1 135º00'53" 3.01 9.75875063 v6 -1 166º27'32" 0.92 9.96226216 v7 -1 147º27'51" 1.93 9.86738184 v8 -1 131º03'42" 3.50 9.71261632 16 4 16360.004444 17.99 39.3386406 ###

16 39.33863892

<1 + <2 101º28'41"<5+ <6 101º28'25" 16

v1 + v2 -v5 - v6 + 16 = 0 I

<3 + <4 78º31'37"<7+ <8 78º31'33" 4

v3 + v4 -v7- v8 + 4 = 0 II

v1 + v2 + v3 + v4 + v5 + v6 + v7 + v8 + 16 = 0 III

1.80v1 - 1.65v2 + 2.28v3 - 2.91v4 + 3.01v5 - 0.92 v6 + 1.93v7 - 3.5v8 + 2 = 0 IV

PENTAGONO CON PUNTO CENTRALEXAGONO CON PUNTO CENTRALCUADRILATERO CON PUNTO CENTRAL

49⁰33'02"

Page 8: Comp Aproxim Suces

COMPENSACION POR MINIMOS CUADRADOSCUADRILATERO CON DIAGONALES

λ4 S1.80 3.80-1.65 0.352.28 4.28-2.91 -0.913.01 3.01-0.92 -0.921.93 1.93-3.50 -3.5017.99

PENTAGONO CON PUNTO CENTRALEXAGONO CON PUNTO CENTRALCUADRILATERO CON PUNTO CENTRAL

Page 9: Comp Aproxim Suces