CATEGORII DOCUMENTE |
Demografie | Ecologie mediu | Geologie | Hidrologie | Meteorologie |
UNIVERSITATEA TEHNICA DE CONSTRUCTII BUCURESTI
FACULTATEA DE GEODEZIE
SISTEME DE MASURARE IN INDUSTRIE
Determinarea coordonatelor punctelor de detaliu
Metoda: intersecia spatiala inainte (in domeniul apropiat)
Specializarea:Geomatica
2010-2011
VARIANTA 1 (sistem local, cu originea în punctul S3)
Pct. |
Coordonate |
||
X |
Y |
Z |
|
S2 |
0 |
78.7155 |
91.1138 |
S3 |
0 |
0 |
93.5175 |
b |
78.7156 |
ZS3S2 |
-2.3757 |
Pct. |
[g c cc] |
[g c cc] |
wS3 [g c cc] |
wS2 [g c cc] |
x [m] |
y [m] |
z [m] |
89 |
101.062 |
74.6211 |
99.3149 |
98.6675 |
194.58995 |
-3.24642 |
2.06244 |
98 |
56.5378 |
123.3754 |
96.4225 |
94.947 |
183.69230 |
149.36777 |
13.29157 |
96 |
56.0868 |
124.0136 |
96.7397 |
95.3225 |
183.57062 |
151.44172 |
12.17106 |
94 |
55.3495 |
125.0551 |
97.2792 |
95.965 |
183.31431 |
154.83282 |
10.23457 |
92 |
54.6324 |
126.0741 |
97.8372 |
96.6348 |
183.06153 |
158.18650 |
8.19598 |
47 |
75.3563 |
99.4196 |
99.2932 |
98.4542 |
188.86207 |
76.99372 |
2.23084 |
48 |
75.5535 |
99.1956 |
99.2868 |
98.4525 |
188.90235 |
76.32860 |
2.24300 |
51 |
77.262 |
97.2884 |
99.2922 |
98.4625 |
189.31478 |
70.64710 |
2.21709 |
59 |
82.3275 |
91.8789 |
99.2891 |
98.491 |
190.49366 |
54.28242 |
2.18772 |
60 |
82.54 |
91.6576 |
99.2846 |
98.496 |
190.52622 |
53.60474 |
2.18773 |
61 |
82.7591 |
91.4359 |
99.2877 |
98.4983 |
190.60275 |
52.91905 |
2.18078 |
63 |
84.3472 |
89.8181 |
99.2849 |
98.5083 |
190.93409 |
47.91512 |
2.17708 |
65 |
85.9799 |
88.1951 |
99.2852 |
98.5192 |
191.31550 |
42.82751 |
2.17008 |
66 |
86.1727 |
88.0058 |
99.2861 |
98.5213 |
191.36119 |
42.22957 |
2.16682 |
67 |
86.398 |
87.7856 |
99.2857 |
98.5224 |
191.41771 |
41.53217 |
2.16740 |
71 |
89.6283 |
84.6814 |
99.2869 |
98.5518 |
192.10484 |
31.57726 |
2.14578 |
72 |
89.8648 |
84.4586 |
99.284 |
98.5508 |
192.15142 |
30.85225 |
2.15387 |
73 |
90.0977 |
84.2431 |
99.2833 |
98.552 |
192.22292 |
30.14279 |
2.15560 |
75 |
91.7247 |
82.7361 |
99.2853 |
98.5668 |
192.57407 |
25.17429 |
2.14564 |
77 |
93.3504 |
81.2606 |
99.2938 |
98.5845 |
192.93131 |
20.22561 |
2.12280 |
78 |
93.5946 |
81.0411 |
99.2953 |
98.5915 |
192.98228 |
19.48285 |
2.11222 |
79 |
93.838 |
80.8244 |
99.2996 |
98.5953 |
193.04490 |
18.74386 |
2.10265 |
81 |
95.466 |
79.3819 |
99.3022 |
98.6115 |
193.39080 |
13.79661 |
2.09275 |
83 |
97.0801 |
77.9804 |
99.3072 |
98.6298 |
193.75297 |
8.89285 |
2.07724 |
84 |
97.3382 |
77.7574 |
99.3083 |
98.634 |
193.80030 |
8.10780 |
2.07218 |
85 |
97.5918 |
77.5416 |
99.3095 |
98.637 |
193.86969 |
7.33719 |
2.06924 |
87 |
99.2034 |
76.1719 |
99.3117 |
98.6515 |
194.20535 |
2.43021 |
2.06530 |
89 |
101.0651 |
74.6211 |
99.3142 |
98.6675 |
194.61338 |
-3.25629 |
2.06391 |
53 |
78.7879 |
95.6204 |
99.2898 |
98.473 |
189.67326 |
65.64648 |
2.20534 |
54 |
78.9958 |
95.3964 |
99.2908 |
98.4758 |
189.72656 |
64.97190 |
2.19984 |
55 |
79.2046 |
95.1726 |
99.2904 |
98.4763 |
189.78399 |
64.29690 |
2.20010 |
57 |
80.7569 |
93.5176 |
99.2875 |
98.484 |
190.13255 |
59.28811 |
2.19576 |
RELATII DE CALCUL UTILIZATE
Pct. |
X [m] |
Y [m] |
Z [m] |
89 |
194.5899 |
-3.2464 |
95.5869 |
98 |
183.6923 |
149.3678 |
106.8161 |
96 |
183.5706 |
151.4417 |
105.6956 |
94 |
183.3143 |
154.8328 |
103.7591 |
92 |
183.0615 |
158.1865 |
101.7205 |
47 |
188.8621 |
76.9937 |
95.7553 |
48 |
188.9024 |
76.3286 |
95.7675 |
51 |
189.3148 |
70.6471 |
95.7416 |
59 |
190.4937 |
54.2824 |
95.7122 |
60 |
190.5262 |
53.6047 |
95.7122 |
61 |
190.6027 |
52.9190 |
95.7053 |
63 |
190.9341 |
47.9151 |
95.7016 |
65 |
191.3155 |
42.8275 |
95.6946 |
66 |
191.3612 |
42.2296 |
95.6913 |
67 |
191.4177 |
41.5322 |
95.6919 |
71 |
192.1048 |
31.5773 |
95.6703 |
72 |
192.1514 |
30.8522 |
95.6784 |
73 |
192.2229 |
30.1428 |
95.6801 |
75 |
192.5741 |
25.1743 |
95.6701 |
77 |
192.9313 |
20.2256 |
95.6473 |
78 |
192.9823 |
19.4829 |
95.6367 |
79 |
193.0449 |
18.7439 |
95.6271 |
81 |
193.3908 |
13.7966 |
95.6172 |
83 |
193.7530 |
8.8928 |
95.6017 |
84 |
193.8003 |
8.1078 |
95.5967 |
85 |
193.8697 |
7.3372 |
95.5937 |
87 |
194.2054 |
2.4302 |
95.5898 |
89 |
194.6134 |
-3.2563 |
95.5884 |
53 |
189.6733 |
65.6465 |
95.7298 |
54 |
189.7266 |
64.9719 |
95.7243 |
55 |
189.7840 |
64.2969 |
95.7246 |
57 |
190.1326 |
59.2881 |
95.7203 |
VARIANTA 2 (sistem local, cu o origine oarecare a retelei de sprijin)
b [m] |
78.7156 |
ZS3S2 [m] |
-2.389700 |
S3S2 [g c cc] |
193.5221471 |
Pct. |
Coordonate |
||
X [m] |
Y [m] |
Z [m] |
|
S2 |
1087.5823 |
999.9871 |
91.1138 |
S3 |
1165.8907 |
991.9913 |
93.5175 |
Metoda a) –utilizand relatiile de la intersectia inainte
Relatii utilizate:
-calculul orientarilor:
P.S. S2
P.S. S3
- calculul coordonatelor punctelor noi prin intersectie inainte
-calculul cotelor
Se va face media valorilor
P.S. |
P.V. |
Diri oriz [g c cc] |
[g c cc] |
[g c cc] |
[g c cc] |
S2 |
S3 |
325.3824 |
|
|
393.5221471 |
89 |
0.0035 |
74.6211 |
|
68.1432471 |
|
87 |
1.5543 |
76.1719 |
|
69.6940471 |
|
85 |
2.924 |
77.5416 |
|
71.0637471 |
|
84 |
3.1398 |
77.7574 |
|
71.2795471 |
|
83 |
3.3628 |
77.9804 |
|
71.5025471 |
|
81 |
4.7643 |
79.3819 |
|
72.9040471 |
|
79 |
6.2068 |
80.8244 |
|
74.3465471 |
|
78 |
6.4235 |
81.0411 |
|
74.5632471 |
|
77 |
6.643 |
81.2606 |
|
74.7827471 |
|
75 |
8.1185 |
82.7361 |
|
76.2582471 |
|
73 |
9.6255 |
84.2431 |
|
77.7652471 |
|
72 |
9.841 |
84.4586 |
|
77.9807471 |
|
71 |
10.0638 |
84.6814 |
|
78.2035471 |
|
63 |
15.2005 |
89.8181 |
|
83.3402471 |
|
61 |
16.8183 |
91.4359 |
|
84.9580471 |
|
60 |
17.04 |
91.6576 |
|
85.1797471 |
|
59 |
17.2613 |
91.8789 |
|
85.4010471 |
|
57 |
18.9 |
93.5176 |
|
87.0397471 |
|
55 |
20.555 |
95.1726 |
|
88.6947471 |
|
54 |
20.7788 |
95.3964 |
|
88.9185471 |
|
53 |
21.0028 |
95.6204 |
|
89.1425471 |
|
51 |
22.6708 |
97.2884 |
|
90.8105471 |
|
49 |
24.3545 |
98.9721 |
|
92.4942471 |
|
48 |
24.578 |
99.1956 |
|
92.7177471 |
|
47 |
24.802 |
99.4196 |
|
92.9417471 |
|
92 |
51.4565 |
126.0741 |
|
119.5962471 |
|
94 |
50.4375 |
125.0551 |
|
118.5772471 |
|
96 |
49.396 |
124.0136 |
|
117.5357471 |
|
98 |
48.7578 |
123.3754 |
|
116.8975471 |
|
S2 |
S3 |
222.6768 |
|
|
393.5221471 |
65 |
310.8719 |
88.1951 |
|
81.7172471 |
|
66 |
310.6826 |
88.0058 |
|
81.5279471 |
|
67 |
310.4624 |
87.7856 |
|
81.3077471 |
|
71 |
307.3608 |
84.684 |
|
78.2061471 |
|
72 |
307.1384 |
84.4616 |
|
77.9837471 |
|
73 |
306.9209 |
84.2441 |
|
77.7662471 |
|
S3 |
S2 |
19.0732 |
|
|
193.5221471 |
89 |
318.0112 |
|
101.062 |
92.4601471 |
|
98 |
362.5354 |
|
56.5378 |
136.9843471 |
|
96 |
362.9864 |
|
56.0868 |
137.4353471 |
|
94 |
363.7237 |
|
55.3495 |
138.1726471 |
|
92 |
364.4408 |
|
54.6324 |
138.8897471 |
|
47 |
343.7169 |
|
75.3563 |
118.1658471 |
|
48 |
343.5197 |
|
75.5535 |
117.9686471 |
|
51 |
341.8112 |
|
77.262 |
116.2601471 |
|
59 |
336.7457 |
|
82.3275 |
111.1946471 |
|
60 |
336.5332 |
|
82.54 |
110.9821471 |
|
61 |
336.3141 |
|
82.7591 |
110.7630471 |
|
63 |
334.726 |
|
84.3472 |
109.1749471 |
|
65 |
333.0933 |
|
85.9799 |
107.5422471 |
|
66 |
332.9005 |
|
86.1727 |
107.3494471 |
|
67 |
332.6752 |
|
86.398 |
107.1241471 |
|
69 |
331.0615 |
|
88.0117 |
105.5104471 |
|
71 |
329.4449 |
|
89.6283 |
103.8938471 |
|
72 |
329.2084 |
|
89.8648 |
103.6573471 |
|
73 |
328.9755 |
|
90.0977 |
103.4244471 |
|
75 |
327.3485 |
|
91.7247 |
101.7974471 |
|
77 |
325.7228 |
|
93.3504 |
100.1717471 |
|
78 |
325.4786 |
|
93.5946 |
99.9275471 |
|
79 |
325.2352 |
|
93.838 |
99.6841471 |
|
81 |
323.6072 |
|
95.466 |
98.0561471 |
|
83 |
321.9931 |
|
97.0801 |
96.4420471 |
|
84 |
321.735 |
|
97.3382 |
96.1839471 |
|
85 |
321.4814 |
|
97.5918 |
95.9303471 |
|
87 |
319.8698 |
|
99.2034 |
94.3187471 |
|
89 |
318.0081 |
|
101.0651 |
92.4570471 |
|
53 |
340.2853 |
|
78.7879 |
114.7342471 |
|
54 |
340.0774 |
|
78.9958 |
114.5263471 |
|
55 |
339.8686 |
|
79.2046 |
114.3175471 |
|
57 |
338.3163 |
|
80.7569 |
112.7652471 |
Pct. |
X [m] |
Y [m] |
Y [m] |
S3-P [g c cc] |
S2-P [g c cc] |
89 |
1188.8864 |
1185.2449 |
1185.2449 |
92.4601471 |
68.1432471 |
98 |
1035.9548 |
1189.9059 |
1189.9059 |
136.9843471 |
116.8975471 |
96 |
1033.8792 |
1189.9955 |
1189.9955 |
137.4353471 |
117.5357471 |
94 |
1030.4796 |
1190.0850 |
1190.0850 |
138.1726471 |
118.5772471 |
92 |
1027.1176 |
1190.1742 |
1190.1742 |
138.8897471 |
119.5962471 |
47 |
1108.4796 |
1187.6973 |
1187.6973 |
118.1658471 |
92.9417471 |
48 |
1109.1453 |
1187.6698 |
1187.6698 |
117.9686471 |
92.7177471 |
51 |
1114.8393 |
1187.5030 |
1187.5030 |
116.2601471 |
90.8105471 |
59 |
1131.2391 |
1187.0134 |
1187.0134 |
111.1946471 |
85.4010471 |
60 |
1131.9166 |
1186.9770 |
1186.9770 |
110.9821471 |
85.1797471 |
61 |
1132.6065 |
1186.9835 |
1186.9835 |
110.7630471 |
84.9580471 |
63 |
1137.6182 |
1186.8048 |
1186.8048 |
109.1749471 |
83.3402471 |
65 |
1142.7182 |
1186.6675 |
1186.6675 |
107.5422471 |
81.7172471 |
66 |
1143.3177 |
1186.6522 |
1186.6522 |
107.3494471 |
81.5279471 |
67 |
1144.0173 |
1186.6376 |
1186.6376 |
107.1241471 |
81.3077471 |
71 |
1153.9898 |
1186.3202 |
1186.3202 |
103.8938471 |
78.2048471 |
72 |
1154.7158 |
1186.2945 |
1186.2945 |
103.6573471 |
77.9822471 |
73 |
1155.4293 |
1186.2857 |
1186.2857 |
103.4244471 |
77.7657471 |
75 |
1160.4080 |
1186.1263 |
1186.1263 |
101.7974471 |
76.2582471 |
77 |
1165.3721 |
1184.2036 |
1184.2036 |
100.1717471 |
74.5632471 |
78 |
1166.1094 |
1184.1974 |
1184.1974 |
99.9275471 |
74.3465471 |
79 |
1166.7973 |
1174.7262 |
1174.7262 |
99.6841471 |
72.9040471 |
81 |
1171.8098 |
1185.7831 |
1185.7831 |
98.0561471 |
72.9040471 |
83 |
1176.7250 |
1185.6453 |
1185.6453 |
96.4420471 |
71.5025471 |
84 |
1177.5108 |
1185.6126 |
1185.6126 |
96.1839471 |
71.2795471 |
85 |
1178.2844 |
1185.6034 |
1185.6034 |
95.9303471 |
71.0637471 |
87 |
1183.2001 |
1185.4389 |
1185.4389 |
94.3187471 |
69.6940471 |
89 |
1188.8986 |
1185.2672 |
1185.2672 |
92.4570471 |
68.1432471 |
53 |
1119.8505 |
1187.3516 |
1187.3516 |
114.7342471 |
89.1425471 |
54 |
1120.5270 |
1187.3361 |
1187.3361 |
114.5263471 |
88.9185471 |
55 |
1121.2044 |
1187.3247 |
1187.3247 |
114.3175471 |
88.6947471 |
57 |
1126.2226 |
1187.1627 |
1187.1627 |
112.7652471 |
87.0397471 |
Pct. |
wS3 [g c cc] |
wS2 [g c cc] |
D S3-P [m] |
D S2-P [m] |
Z [m] |
Z[m] |
Zmed [m] |
89 |
99.3149 |
98.6675 |
194.616915 |
211.1468 |
95.61196 |
95.53393 |
95.57294 |
98 |
96.4225 |
94.947 |
236.75625 |
196.8109 |
106.8361 |
106.768 |
106.8021 |
96 |
96.7397 |
95.3225 |
237.976257 |
197.4518 |
105.7156 |
105.6475 |
105.6816 |
94 |
97.2792 |
95.965 |
239.952636 |
198.4891 |
103.7789 |
103.7112 |
103.7451 |
92 |
97.8372 |
96.6348 |
241.93888 |
199.5673 |
101.7401 |
101.6729 |
101.7065 |
47 |
99.2932 |
98.4542 |
203.953096 |
188.8698 |
95.78196 |
95.70072 |
95.74134 |
48 |
99.2868 |
98.4525 |
203.740288 |
188.9173 |
95.80008 |
95.70692 |
95.7535 |
51 |
99.2922 |
98.4625 |
202.066941 |
189.4865 |
95.76419 |
95.69098 |
95.72758 |
59 |
99.2891 |
98.491 |
198.076676 |
192.0541 |
95.72947 |
95.66697 |
95.69822 |
60 |
99.2846 |
98.496 |
197.923377 |
192.1738 |
95.74175 |
95.65471 |
95.69823 |
61 |
99.2877 |
98.4983 |
197.812506 |
192.3404 |
95.73087 |
95.65169 |
95.69128 |
63 |
99.2849 |
98.5083 |
196.854363 |
193.4023 |
95.72881 |
95.64635 |
95.68758 |
65 |
99.2852 |
98.5192 |
196.050433 |
194.6523 |
95.71886 |
95.6423 |
95.68058 |
66 |
99.2861 |
98.5213 |
195.965297 |
194.8083 |
95.71513 |
95.6395 |
95.67731 |
67 |
99.2857 |
98.5224 |
195.871429 |
194.9956 |
95.71531 |
95.64048 |
95.67789 |
71 |
99.2869 |
98.5518 |
194.692973 |
197.813 |
95.69842 |
95.61448 |
95.65645 |
72 |
99.284 |
98.5508 |
194.624288 |
198.0337 |
95.70651 |
95.62261 |
95.66456 |
73 |
99.2833 |
98.552 |
194.575791 |
198.2684 |
95.70811 |
95.62422 |
95.66616 |
75 |
99.2853 |
98.5668 |
194.212447 |
199.8785 |
95.69791 |
95.61435 |
95.65613 |
77 |
99.2938 |
98.5845 |
192.212951 |
199.9674 |
95.6498 |
95.56073 |
95.60527 |
78 |
99.2953 |
98.5915 |
192.206185 |
200.2497 |
95.64519 |
95.54498 |
95.59509 |
79 |
99.2996 |
98.5953 |
182.737194 |
191.8562 |
95.52803 |
95.34779 |
95.43791 |
81 |
99.3022 |
98.6115 |
193.882186 |
203.9961 |
95.64273 |
95.56376 |
95.60325 |
83 |
99.3072 |
98.6298 |
193.956827 |
205.9499 |
95.62831 |
95.54716 |
95.58773 |
84 |
99.3083 |
98.634 |
193.969713 |
206.2619 |
95.6251 |
95.54026 |
95.58268 |
85 |
99.3095 |
98.637 |
194.008369 |
206.5921 |
95.62186 |
95.5376 |
95.57973 |
87 |
99.3117 |
98.6515 |
194.220444 |
208.6507 |
95.61745 |
95.53414 |
95.5758 |
89 |
99.3142 |
98.6675 |
194.64051 |
211.1722 |
95.61435 |
95.53446 |
95.57441 |
53 |
99.2898 |
98.473 |
200.712124 |
190.1229 |
95.7567 |
95.67497 |
95.71583 |
54 |
99.2908 |
98.4758 |
200.542933 |
190.2236 |
95.75166 |
95.66902 |
95.71034 |
55 |
99.2904 |
98.4763 |
200.379656 |
190.3308 |
95.7511 |
95.67009 |
95.71059 |
57 |
99.2875 |
98.484 |
199.161794 |
191.1224 |
95.7466 |
95.66591 |
95.70625 |
Metoda b) –utilizand o transformare conforma
Transformarea conforma (Transformarea Helmert cu 4 parametri)
Consideram un camp de puncte pentru care se avem puncte cu coordonate in sistem local
si puncte cu coordonate atat in sistem local cat si in sistem general (sistem “national”, “istoric”) – puncte comune .
Fie un sistem national (istoric) XOY si un sitem local xOy. Pentru un punct P legatura dintre cele doua siteme este data prin relatiile:
(1)- cand se cunosc coordonatele in sistem local
(2) – cand se cunosc coordonatele in sistem istoric
Transformarea conforma este o transformare cu 4 parametri, acestia fiind:
doua translatii: Tx, Ty
un factor de scara: m (m=1 in cazul de fata)
unghiul de rotatie: φ (φ=S3-S2-100 in cazul de fata)
Relatia (1) mai poate fi scrisa sub forma:
(3)
Daca in aceasta relatie se aplica transaltiile si factorul de scara, avem:
(4)
In relatia (4) se considera urmatoarele relatii:
(5) (c=XS3; d=YS3)
punct |
sistem local |
sist global |
||
x [m] |
Y [m] |
X [m] |
Y [m] |
|
S2 |
0.0000 |
78.7155 |
1087.5823 |
999.9871 |
S3 |
0.0000 |
0.0000 |
1165.8907 |
991.9913 |
89 |
194.5899 |
-3.2464 |
|
|
98 |
183.6923 |
149.3678 |
|
|
96 |
183.5706 |
151.4417 |
|
|
94 |
183.3143 |
154.8328 |
|
|
92 |
183.0615 |
158.1865 |
|
|
47 |
188.8621 |
76.9937 |
|
|
48 |
188.9024 |
76.3286 |
|
|
51 |
189.3148 |
70.6471 |
|
|
59 |
190.4937 |
54.2824 |
|
|
60 |
190.5262 |
53.6047 |
|
|
61 |
190.6027 |
52.9190 |
|
|
63 |
190.9341 |
47.9151 |
|
|
65 |
191.3155 |
42.8275 |
|
|
66 |
191.3612 |
42.2296 |
|
|
67 |
191.4177 |
41.5322 |
|
|
71 |
192.1048 |
31.5773 |
|
|
72 |
192.1514 |
30.8522 |
|
|
73 |
192.2229 |
30.1428 |
|
|
75 |
192.5741 |
25.1743 |
|
|
77 |
192.9313 |
20.2256 |
|
|
78 |
192.9823 |
19.4829 |
|
|
79 |
193.0449 |
18.7439 |
|
|
81 |
193.3908 |
13.7966 |
|
|
83 |
193.7530 |
8.8928 |
|
|
84 |
193.8003 |
8.1078 |
|
|
85 |
193.8697 |
7.3372 |
|
|
87 |
194.2054 |
2.4302 |
|
|
89 |
194.6134 |
-3.2563 |
|
|
53 |
189.6733 |
65.6465 |
|
|
54 |
189.7266 |
64.9719 |
|
|
55 |
189.7840 |
64.2969 |
|
|
57 |
190.1326 |
59.2881 |
|
|
Utilizand transformarea conforma:
punct |
sist global |
|
X [m] |
Y [m] |
|
89 |
1188.8865 |
1185.2450 |
98 |
1035.9547 |
1189.9060 |
96 |
1033.8791 |
1189.9956 |
94 |
1030.4795 |
1190.0851 |
92 |
1027.1175 |
1190.1743 |
47 |
1108.4795 |
1187.6974 |
48 |
1109.1453 |
1187.6699 |
51 |
1114.8393 |
1187.5031 |
59 |
1131.2391 |
1187.0136 |
60 |
1131.9166 |
1186.9771 |
61 |
1132.6065 |
1186.9836 |
63 |
1137.6182 |
1186.8049 |
65 |
1142.7182 |
1186.6676 |
66 |
1143.3177 |
1186.6523 |
67 |
1144.0173 |
1186.6377 |
71 |
1153.9905 |
1186.3101 |
72 |
1154.7165 |
1186.2827 |
73 |
1155.4295 |
1186.2818 |
75 |
1160.4080 |
1186.1265 |
77 |
1165.3674 |
1185.9792 |
78 |
1166.1114 |
1185.9544 |
79 |
1166.8530 |
1185.9417 |
81 |
1171.8098 |
1185.7832 |
83 |
1176.7250 |
1185.6454 |
84 |
1177.5108 |
1185.6128 |
85 |
1178.2844 |
1185.6035 |
87 |
1183.2001 |
1185.4390 |
89 |
1188.8987 |
1185.2673 |
53 |
1119.8505 |
1187.3517 |
54 |
1120.5270 |
1187.3362 |
55 |
1121.2043 |
1187.3248 |
57 |
1126.2226 |
1187.1628 |
(x,y se preiau de la varianta 1)
Cotele Z sunt aceleasi calculate la metoda a).
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