, 1.
I 14 () ( 1); 2 - ( 1); 3 - : (α41-42) (α46-47) ; 13 14 X Y (42 41) (46 47) .
2
, | ||
X | Y | |
231,72 | 141,97 | |
131,71 | 61,93 | |
251,86 | 381,84 | |
361,87 | 287,82 |
. α = 218˚40΄30˝, α =317˚43΄30˝.
. ( 1) 15 , , 1,2,3 .
() . :
α= α 180˚ + β,
α ;
α - ;
β - , .
0˚ 360˚, 360˚.
:
α41-42 = 218˚40΄30˝;
α42-1 = α41-42 + β42 180˚ = 218˚40΄30˝ + 86˚19΄00˝ 180˚ = 124˚59΄30˝
α1-2 = α42-1 + β1 180˚= 124˚59΄30˝ + 149˚05΄00˝ 180˚ = 94˚04΄30˝
α2-3 = α1-2 + β2 180˚= 94˚04΄30˝ +90˚18΄30˝180˚ = 4˚23΄00˝
α3-46 = α2-3+β2 180˚= 4˚23΄00˝ + 220˚35΄30˝ 180˚ = 44˚58΄30˝
α46-47 = α3-46 + β46 180˚ = 44˚58΄30˝ + 92˚44΄30˝ 180˚ = 317˚43΄00˝
. ƒβ :
ƒβ = α46-47 - α46-47,
α46-47 , 2.
α46-47 .
:
ƒβ= 317˚43΄00˝ - 317˚43΄30˝ = -30˝
|
|
:
ƒβ = 2τ˝ ,
n ,
τ - .
τ = 30˝
ƒβ = 2 × 30˝ = 2΄14˝
ƒβ :
| ƒβ |≤ | ƒβ |.
|−30˝| ≤ 2΄14˝.
, , . . 16 .
. :
υβ= − ƒβ ⁄ n = −30˝ ⁄ 4= 7,5˝,
υβ .
, υβ τ˝, , τ˝, n×υβ : υβ=−ƒβ. 2 , υβ. , .
, +30˝, 3 ( ).
( ). , , υβ.
: β46()= 22035/30// + 30// = 22036/00//
4 , α46-47. ( 2). : 1, 2, 3, 4 ; r ; α- .
4 .
2 -
. d :
d = D× cos ν
D - ,
ν .
D1-2 = 140,39; ν = 234/.
d = D1-2 × cos 234/ = 140,39 × 0,998997 = 140,2
6 .
. Δx Δy :
Δx = d × cos α
Δy = d × sin α
, , . :
Δx = d × cos r
Δy = d × sin r
( 3), cos r sin r .
|
|
3 -
Δx Δy , 8 9. :
d 42-1 = 122,02;
r = 5500/30//;
α =124059/30//
42-1:
∆x = d× cos r = 122,02 × cos(5500/30//˚)= 122,02 × 0,573457 = 69,97
Δy = d × sin r = 122,02 × sin(5500/30//) = 122,02 × 0,819235 = +99,96
. ƒ ƒy :
ƒ = Σ ΔX - Σ ΔX ;
ƒy = Σ ΔY - Σ ΔY .
Σ ΔX Δx;
Σ ΔY Δy.
: Σ ΔX = 120,39
Σ ΔY = 319,8 .
Σ ΔX = x x = x46 x42 = 251,86 131,71 = 120,15
Σ ΔY = y y = y46 y42 = 381,84 61,93 = 319,91.
:
ƒ = + 0,24
ƒy = - 0,04.
ƒ :
ƒ =
ƒ = = + 0,25.
. ƒ ƒ , = Σ d.
. :
= 491,97;
ƒ = = = =
(, ).
1/1000. . ;
ƒ ≤ ; .. ≤
, , . , , Δx Δy, , , . , , .
ƒ ƒy . :
υΔX = ; υΔy =
d . :
100 = 4,92; d100 = 1,22
υΔX = = - 0,06; υΔy = = 0,01
Συ ΔX = -ƒ ; Συ Δy = - ƒy.
10 11 .
:
Δx = Δx + υΔX = -69,97 + (-0,06) = - 70,03
Δy = Δy +υ Δy = 99,96 + 0,01 = 99,97
Δx Δy - .
X Y :
Σ Δx = ΣΔx 120,15 = 120,15,
Σ Δy = ΣΔy 319,91 =319,91.
, 15 .
|
|
. 42 46 . 4 12 13 .
:
Xn+1 = Xn + ΔX,
Yn+1 = Yn + ΔY,
Xn+1; Yn+1 - X Y;
Xn; Yn - Y.
:
X1 = X42 + Δx42-1 = 131,71+ (-70,03) = 61,68
X2 = X1 + Δx1-2 = 61,68 + 10,04 = 51,64
X3 = X2 + Δx2-3 = 51,64 + 130,21 = 181,85
X46 = X3 + Δx3-46 = 181,85 + 70,01 = 251,86
Y1 = Y 42 + Δy 42-1 = 61,93 + 99,97 = 161,90
Y 2 = Y 1 + Δy1-2 = 161,90 + 139,91 = 301,81
Y 3 = Y 2 + Δy2-3 = 301,81 + 10,00 = 311,81
Y 46 = Y 3 + Δy3-46 = 311,81 + 70,03 = 381,84
- 46.
.
.
4 16 (44) 10 . 1:1000. 100 . - . 100 ( 4).
4 -
, . 42 :
= 131,71 , = 61,93 .
, X = 100 31,75 , . =0 61,95 , , 0,1 , 1,5 (4, 5). . . , 6 . , .. 0,2 . . .
. , , , 1:1000. , , .
. ( 2). .
. ( 8), ( 10), ( 13 14). .3. , , -.
3-
( 41, 42)
|
|
˚ ′ ″ | , | |||
120,87 | ||||
90,81 | ||||
136,67 | ||||
117,50 |
, 8 41, , 42 605/ 30//, 41 42 8. . 41 120,87 . . ( 5) .
. 42-1 β ( 6), 4 . β .
20 42 β20=6825/30", 1 β20=34735/00//. , 20. , . .
5 -
4 -
, | ||||||
42 ˚ ′ ″ | 1 ˚ ′ ″ | |||||
.
6 -
. 23 30.
5. 24 3 , 21,45, 36,09 . , , ( 7).
. ( 36) ( 37). 6
1 2. 36 37 , .
5 -
, | , | ||
3 | |||
4,48 | 29,02 | ||
21,45 | 36,09 | ||
29,22 | 26,18 | ||
88,13 | 28,77 | ||
46 | |||
28,22 | 12,24 | ||
19,81 | 22,32 | ||
49,00 | 11,32 | ||
38,34 | 2,64 | ||
75,00 | 30,26 |
1-2 : 1 20 1 , 2 30 2 . 6 L1 L2 36 . 1 L1 , .1 L2 . 36 ( 8). 37 2 .2.
6 -
, L, | ||
17,27 | 10,06 | |
25,85 | 15,23 |
7 -
. [34].
|
|
:
- . , , , ;
8 -
- , , 66 ;
- [3];
- . [3];
- , . [3] 1:1000.
, , .
1
˚ ′ ″ | D(), ν˚ | d() | |||||||||||||
˚ ′ ″ | () ˚ ′ ″ | X | Y | ||||||||||||
ΔX | ΔY | ΔX | ΔY | ||||||||||||
218 40 30 | 231,72 | 141,97 | ƒβ = α46-47 - α46-47,= 31743/00// - 31743/30// = 30/ ƒ = Σ ΔX - Σ ΔX = 120,39 -120,15 = +0,24 ƒy = Σ ΔY - Σ ΔY .= 319,87 -319,87 = -0,04 ƒ = = = + 0,25 ƒ = = = = | ||||||||||||
86˚ 19′ 00″ | 124 59 30 | 124 59 30 (55 00 30) | 122.02 0˚ | 122,02 | 0,573457 0,819235 | -6 -69,97 | +1 99,96 | -70,03 | 99,97 | 131,71 | 61,93 | ||||
149˚ 05′ 00 | 61,68 | 161,90 | |||||||||||||
94 04 30 | 94 04 30 (85 55 30) | 140,35 2˚34′ | 140,25 | 0,071062 0,997472 | -7 -9,97 | +1 139,90 | -10,04 | 139,91 | |||||||
90 18 30 | 51,64 | 301,81 | |||||||||||||
4 23 00 | 4 23 00 | 130,65 0˚ | 130,65 | 0,997075 0,076429 | -6 130,27 | +1 8,99 | 130,21 | 10,00 | |||||||
220 35 30 | 181,85 | 311,81 | |||||||||||||
44 58 30 | 44 59 00 | 99,26 3˚42′00″ | 99,05 | 0,707312 0,706901 | -5 70,06 | +1 70,02 | 70,01 | 70,03 | |||||||
92 44 30 | 251,86 | 381,84 | |||||||||||||
317 43 00 | 317 43 30 | 419,97 | |||||||||||||
361,87 | 287,82 | ||||||||||||||
120,39 | 319,87 | ||||||||||||||
120,15 | 319,91 | ||||||||||||||
+0,24 | -0,04 | ||||||||||||||
2
0
˚ ′ ″ | , | ˚ ′ ″ | |
99 40 30 144 26 30 77 27 30 233 53 30 90 09 00 | 87.67 180.68 129.47 112.76 | 03 46 00 04 52 30 |
, | ||
X | Y | |
247.50 137.50 256.50 389.50 | 144.10 73.90 390.90 296.10 |
:
(41-42) = 213˚ 31′ 00″
:
(46-47) = 319 08 30
, | ||
42 ˚ ′ ″ | 1 ˚ ′ ″ | |
96 13 30 65 31 00 45 01 00 66 32 30 44 54 30 77 31 00 37 53 30 20 16 00 | 315 33 30 293 42 30 262 45 30 308 01 00 280 46 00 327 34 30 302 53 30 242 58 30 |
( 41, 42)
˚ ′ ″ | , | |
66 50 00 84 57 00 121 36 30 204 36 00 210 16 00 | 133.63 155.23 77.16 132.53 113.18 |
, | |||
L1 | L2 | ||
23.73 30.43 | 13.73 16.05 | ||
, | , | ||
3 14.62 23.77 81.42 72.13 81.45 46 96.25 74.01 | 29.70 20.41 27.26 18.11 47.11 50.40 | 15.40 |
1
˚ ′ ″ | , | ˚ ′ ″ | |
89 45 00 160 30 30 75 42 00 234 20 00 91 41 30 | 84.23 176.17 144.05 97.64 | 03 13 00 04 22 30 |
, | ||
X | Y | |
247.50 137.50 256.50 389.50 | 144.10 73.90 390.90 296.10 |
:
(41-42) = 212˚ 32′ 30″
:
(46-47) = 324 31 00
, | ||
42 ˚ ′ ″ | 1 ˚ ′ ″ | |
109 15 30 75 49 00 54 15 30 76 42 30 53 30 00 89 22 30 44 43 30 27 43 30 | 323 27 00 301 50 30 272 53 30 314 50 00 288 55 30 333 32 00 307 38 00 255 23 30 |
( 41, 42)
˚ ′ ″ | , | |
64 25 00 82 51 00 117 26 30 207 36 00 213 59 30 | 136.10 155.08 72.18 125.56 106.073 |
, | |||
L1 | L2 | ||
22.50 32.97 | 19.09 28.12 | ||
, | , | ||
3 5.16 14.92 71.97 63.32 70.68 46 85.54 71.00 | 26.83 18.18 28.88 19.12 48.68 49.63 | 9.93 |
2
˚ ′ ″ | , | ˚ ′ ″ | |
106 59 00 146 49 00 70 51 30 245 18 00 82 15 00 | 72.86 193.02 140.73 115.38 | 03 31 30 04 48 30 |
, | ||
X | Y | |
245.00 140.00 259.00 387.00 | 135.00 83.00 400.00 287.00 |
: (41-42) = 206 21 00
: (46-47) = 318 33 30
, | ||
42 ˚ ′ ″ | 1 ˚ ′ ″ | |
100 23 00 69 04 30 47 05 00 71 33 00 47 49 30 85 52 30 41 37 30 21 31 30 | 313 12 00 289 51 30 258 30 00 304 04 00 274 58 00 324 48 00 295 43 00 234 58 00 |
( 41, 42)
˚ ′ ″ | , | |
72 13 30 91 26 00 131 06 00 214 48 30 220 50 30 | 127.42 148.06 70.38 134.72 116.08 |
- | , | ||
L1 | L2 | ||
30.08 37.80 | 25.33 29.04 | ||
, | , | ||
3 12.48 22.74 79.04 71.00 76.55 46 92.36 81.88 | 24.13 16.09 30.23 19.97 49.92 50.44 | 12.90 |
3
˚ ′ ″ | , | ˚ ′ ″ | |
101 22 00 133 19 00 81 34 30 229 15 30 91 33 30 | 98.54 179.31 114.54 123.12 | 03 01 30 04 38 00 |
, | ||
X | Y | |
232.50 152.50 271.50 374.50 | 140.46 77.54 394.54 292.46 |
: (41-42) = 218 11 00
: (46-47) = 315 15 30
, | ||
42 ˚ ′ ″ | 1 ˚ ′ ″ | |
86 39 00 57 57 00 38 44 00 58 28 30 38 40 00 67 16 00 32 20 30 15 28 00 | 312 19 00 291 08 00 259 02 00 306 20 00 279 19 00 325 45 30 304 27 30 239 47 00 |
( 41, 42)
˚ ′ ″ | , | |
65 17 30 82 40 00 119 05 30 197 15 30 202 17 30 | 135.18 158.95 84.02 136.64 116.69 |
- | , | ||
L1 | L2 | ||
23.97 26.69 | 19.56 21.54 | ||
, | , | ||
3 22.71 30.97 89.00 78.91 90.86 46 104.76 71.93 | 33.41 23.32 24.84 16.58 44.61 50.56 | 16.40 |
4
˚ ′ ″ | , | ˚ ′ ″ | |
89 32 00 141 16 00 87 43 00 217 28 30 101 08 00 | 106.84 164.92 116.55 111.60 | 03 13 00 04 54 30 |
, | ||
X | Y | |
233.75 151.25 270.25 375.75 | 147.74 70.26 387.26 299.74 |
: (41-42) = 223 12 00
: (46-47) = 320 19 30
, | ||
42 ˚ ′ ″ | 1 ˚ ′ ″ | |
91 00 30 61 24 00 42 44 30 60 46 00 41 42 30 67 36 30 33 58 00 19 00 00 | 318 33 30 298 35 30 268 39 00 312 44 00 288 08 30 330 47 00 310 49 30 255 30 30 |
( 41, 42)
˚ ′ ″ | , | |
59 06 00 75 58 30 109 16 00 190 52 30 195 58 00 | 142.00 164.62 85.98 129.98 109.77 |
, | |||
L1 | L2 | ||
16.58 20.88 | 25.93 20.70 | ||
, | , | ||
3 19.70 27.14 85.11 74.40 88.52 46 101.59 63.50 | 36.37 25.66 22.60 15.17 42.16 50.31 | 13.88 |
5
˚ ′ ″ | , | ˚ ′ ″ | |
85 14 30 154 21 30 83 44 30 219 59 30 102 04 00 | 100.25 163.05 131.69 97.90 | 03 19 00 04 47 00 |
, | ||
X | Y | |
241.56 143.75 262.75 383.25 | 149.56 68.44 385.44 301.56 |
: (41-42) = 219 45 30
: (46-47) = 325 09 30
, | ||
42 ˚ ′ ″ | 1 ˚ ′ ″ | |
101 13 30 69 10 30 49 30 00 68 29 00 48 02 00 76 29 30 39 00 30 24 14 30 | 323 20 30 303 05 30 274 28 30 316 17 30 291 57 30 334 05 00 311 58 00 260 58 30 |
( 41, 42)
˚ ′ ″ | , | |
59 26 00 76 47 30 109 05 00 196 38 00 202 26 00 | 142.39 162.73 80.34 124.20 104.51 |
, | |||
L1 | L2 | ||
15.05 24.68 | 15.39 21.57 | ||
, | , | ||
3 10.46 18.61 76.66 66.48 78.73 46 92.53 64.15 | 33.83 23.65 24.55 16.39 44.29 49.70 | 20.92 |
6
˚ ′ ″ | , | ˚ ′ ″ | |
89 52 00 153 28 30 80 09 00 227 08 00 96 23 00 | 92.88 170.64 134.00 101.30 | 03 17 30 04 12 30 |
, | ||
X | Y | |
242.50 142.50 261.50 384.50 | 145.92 72.08 389.08 297.92 |
: (41-42) = 216 26 30
: (46-47) = 323 27 30
, | ||
42 ˚ ′ ″ | 1 ˚ ′ ″ | |
102 03 30 69 59 00 49 37 00 70 07 00 48 40 00 80 03 30 40 11 30 24 09 30 | 321 29 00 300 30 30 271 13 30 313 55 30 288 29 30 332 22 30 308 42 30 255 11 00 |
( 41, 42)
˚ ′ ″ | , | |
62 29 00 80 18 00 114 14 00 201 20 00 207 15 00 | 138.60 158.91 77.42 126.58 107.18 |
, | |||
L1 | L2 | ||
18.90 28.01 | 12.66 25.11 | ||
, | , | ||
3 9.90 18.74 76.58 67.00 77.28 46 91.77 68.76 | 31.08 21.49 26.41 17.57 46.24 49.96 | 16.86 |
7
˚ ′ ″ | , | ˚ ′ ″ | |
86 35 00 146 26 00 87 30 00 216 01 00 103 25 30 | 106.30 161.72 121.71 105.43 | 03 29 00 04 57 30 |
, | ||
X | Y | |
236.25 148.75 267.75 378.25 | 149.56 68.44 385.44 301.56 |
: (41-42) = 222 50 00
: (46-47) = 322 48 00
, | ||
42 ˚ ′ ″ | 1 ˚ ′ ″ | |
94 34 30 64 06 30 45 16 00 63 13 30 43 56 00 69 57 30 35 35 00 21 01 00 | 320 52 30 301 00 30 271 48 30 314 42 00 290 31 30 332 28 00 312 02 00 259 21 30 |
( 41, 42)
˚ ′ ″ | , | |
58 20 00 75 16 30 107 46 00 191 40 30 196 59 30 | 143.27 165.02 84.65 127.04 106.93 |
, | |||
L1 | L2 | ||
14.46 21.01 | 16.13 23.00 | ||
, | , | ||
3 16.50 23.97 81.95 71.27 85.30 46 98.40 62.16 | 36.25 25.57 22.70 15.22 42.26 50.04 | 31.02 |
8
˚ ′ ″ | , | ˚ ′ ″ | |
84 14 00 158 29 00 81 54 30 222 10 30 101 05 00 | 97.47 163.93 136.69 94.31 | 03 41 30 04 10 00 |
, | |||||
X |
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: 2016-11-23; !; : 1924 |
:
- , 20 40 . - .
==> ...
: 0.302 .