m.i.c.-2-lucrarea-2-adeea.xlsx

8/19/2019 M.I.C.-2-Lucrarea-2-adeea.xlsx

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tab.1.1coord. rectang.

nr.punct X Y1 2 3

A 1300 3700

B 900 4300C 500 3900

Δ 25636620

δc= 12.5 mmma!= 397.""75 m

pct coord c#t#te gra%c d#&t.c#t#teX Y p'an

1 2 3 41() 1090 3491 151() 1090 3491 12

4 943 36"" 154 943 36"" 104 943 36"" 197 740 4007 10

7 740 4007 157 740 4007 1"

10 495 42"4 1510 495 42"4 10

punct coord. geode*#ce Δ+,Δ!X Y cadran

1 2 3 4B 900 4300 -1.5A 1300 3700 IId# -400 600 -62.5666

7 737.073 3997.43" -0.52"4A 1300 3700 II

d# -562.927254 297 -30.94554 947.391 3702.343 -0.0066

arctgΔ+,Δ!


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A 1300 3700 IIId# -353 2 -0.4230

A 1300 3700 -1.5B 900 4300 IV

d# 400 -600 -62.56664 952.562 36"5.073 -11.6991

B 900 4300 IIId# 52.5619654 -614.927 -94.5716

7 744.391 4021.343 1.790"B 900 4300 III

d# -155.609119 -27".657 67.5777B 900 4300 1C 500 3900 III

d# -400 -400 504 937.43" 3669."32 -0.5262C 500 3900 III

d# -437.43" 230.16" -30."3577 734.731 39"9.7"" 0.3"25C 500 3900 I

d# -234.731 -"9.7"" 23.25"5

nr punct d#&t.crt. de 'a 'a (/m

0 1 2 3

1 2 3002 1 4 24034 1 3005 2 3 24067 2 240" 3 4 3009 " 3"0

10

11 1 24012 4 3 30013 5 20014 7 3"01516 4 20017 5 6 3"01"


3/42

19 5 3"020 6 7 20021 11 3602223 4 3"024 7 6 200

25 " 30026 10 360272" 3 3"029 " 7 30030 9 3603132 9 " 36033 10 30034

35 7 36036 10 9 30037 11 2003"39 6 36040 11 10 20041

c #u' rete'e# Co't.oc #u. ng # / g c cc Corect#e /cc1 2 3 4

1 99.99"4 2.5" 2 99.99"" 2.5"

3 100.003 1.424 99.999 1.42

ne#nc #der# cc -".0000000003 ".003 99.9997 1.044 99.9996 -0.02

7 99.999 1.46" 100.0012 2.52

ne#nc #der# cc -5.0000000005 5.007 100.001 -2.63

" 99.997 -1.549 100.001 -0.37

10 100.0016 -1.46ne#nc #der# cc 6.0000000002 -6.00


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6 99.99"6 1.137 100.0004 1.31

) 10 99.9974 2.3711 100.0029 2.19

ne#nc #der# cc -6.9999999999 7.004 99.99"4 0.96

5 99.9993 2.13) 6 100.0026 1.04

7 99.9993 -0.13ne#nc #der# cc -3.9999999996 4.00

A B C D

a b c d

4 -1 0 0

-1 4 -1 0

0 -1 4 -1

0 0 -1 4

0 -1 0 -1

2.0000 -0.5 0 0

1.9365 -0.5163977795 01.9322 -0.5175491695

1.9319

k5 2.13

k4 2.19 1.9319

k3 -0.37 1.9322 1.1340

k2 2.34 1.9365 -0.190 0.0000

k1 2.58 2.0000 1.169 0.0000 0.0000

r.ec.,nec. 1 2 3 4


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0 1 2 3 41 4 -1 0 02 -1 4 -1 03 0 -1 4 -14 0 0 -1 45 0 -1 0 -1

( 3 1 2 2

abcisaA B C D

a b c d

10.8 -3.0 0.0 0.0

-3.0 13.6 -3.0 0.0

0.0 -3.0 13.2 -3.6

0.0 0.0 -3.6 11.2

0.0 -3.8 0.0 -2.0

3.2864 -0.9128612089 0 0

3.5731 -0.8396073663 0

3.5349 -1.0184224158

3.1880

k5 2.02

k4 1.20 3.1880

k3 1.70 3.5349 1.2234

k2 2.16 3.5731 1.429 0.0000

k1 1.58 3.2864 1.969 0.0000 0.0000

r.ec.,nec. 1 2 30 1 2 3


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1 10." -3.0 0.02 -3.0 13.6 -3.03 0.0 0.0 13.24 0.0 0.0 -3.65 0.0 -3." 0.0( 8 7 7


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tab.2.1Δ+,Δ! d#&t. #-8

punct coord c#t#te gra%c cadran #-8X Y

1 2 3 4 5b "35 2"27 13.07246376"1 904.6352"56262

a 904 3729 IIId# -69 -902 95.1395364531 295.1395364531c 73" 3939 -11.463917526 1116.22264"041b "35 2"27 IId# . -97 1112 -94.460773121 105.539226"792c 73" 3939 -1.265060241 267.6"63"36657a 904 3729 IId# -166 210 -57.416076719 142.5"39232"1

1"1.0"75622045"1.0"75622045

tab.3.1or#ent. coord. geode*#ce punct

med#u X Y5 6 7 "

"1.0"75622045 1094 3505 22"1.0"75622045 10"6 34"0 4

"1.0"75622045 947 3702 33"1.0"75622045 953 36"5 52"1.0"75622045 937 3670 72"1.0"75622045 737 3997 6

"1.0"75622045 744 4021 "2"1.0"75622045 735 3990 10

"1.0"75622045 499 429" 92"1.0"75622045 492 4274 11

tab. 4.1#&t. #-8 coord. geode*#ce punct#-8 X Y

5 6 7 "721.110255092"

- 1300 3700 A137.43340"3622

α1= 31.621636.6761170503- 737.073 3997.43" 7

169.0544""5319α2= 62.1436352.6169024913

arctgΔ+,Δ!

m

12


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- 947.391 3702.343 4199.5769975695721.110255092"

- 1300 3700 A337.4334

β1= 32.0050617.16957"1964- 952.562 36"5.073 4305.42"4

β2= 69."557319.1613- 744.391 4021.34294" 7267.5777

565.6"54249492- 900 4300 B

250ϒ1= "0."357494.296"536154

- 937.43" 3669."32 4

169.1643ϒ2= 26.7415251.317693"3"5

- 734.731 39"9.7"" 723.25"5

1,p p=100,( Apro!#mat#a 1 Apro!#mat#a 21,p p 1,p

4 5 6 7 "

3 0.333333333 4.333333333 0.230769230" 4.9010"7"09"2.4 0.416666667 3.060"69565 0.3267045455 3.0250"25291

1.3333333333 0.75 1.793"0635 0.5574737762 1."7053702773 0.333333333 4.333333333 0.230769230" 4.9010"7"09"

2.4 0.416666667 3.3"70129"7 0.29524539"" 3.6975594"271.3333333333 0.75 1.9010"7"1 0.5260146295 2.10754"2096

2.4 0.416666667 3.3"70129"7 0.29524539"" 3.6975594"273 0.333333333 3.660"69565 0.2731591449 3.6250"25291

3." 0.263157"95 4.943"12709 0.202273034" 5.31169272290.9"70129"7 1.013157"95 1.2975594"3 0.77067757"4 1.36134370"

2.4 0.416666667 3.060"69565 0.3267045455 3.0250"252913 0.333333333 3.9"70129"7 0.250"143322 4.2975594"272 0.5 3.310344"2" 0.3020"33333 3.952600173"

3." 0.263157"95 1.3""52914 0.7201"65423 4.77"30946760.660"695652 1.513157"95 0.6250"2529 1.5997""7533 0.9750991361

2 0.5 3.310344"2" 0.3020"33333 3.952600173"3." 0.263157"95 4.760674157 0.2100542"37 5.051734950"

1.310344"276 0.763157"95 1.952600174 0.512137617 2.2175416"06


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3." 0.263157"95 4.760674157 0.2100542"37 5.051734950"2 0.5 2.727659574 0.3666146646 2.97"3094676

3.6 0.27777777" 4.5 0.2222222222 5.419"16513"0.9606741573 1.040935673 1.251734951 0.79""911705 1.3923294305

3." 0.263157"95 4.527659574 0.220"646617 4.77"30946762 0.5 2.960674157 0.337760910" 3.251734950"

3 0.333333333 4.143"12709 0.24132364"1 4.51169272293.6 0.27777777" 4.5 0.2222222222 4.9472434916

0.7276595745 1.374269006 0.97"30946" 1.022171442" 1.06316673333." 0.263157"95 4.943"12709 0.202273034" 5.3116927229

3 0.333333333 3.727659574 0.26"264"402 3.97"30946763.6 0.27777777" 5.236363636 0.1909722222 5."35223""06

1.143"12709 0."74269006 1.511692723 0.6615100972 1.63666125"23.6 0.27777777" 5.236363636 0.1909722222 5."35223""06

3 0.333333333 3.9 0.2564102564 4.34724349161.6363636364 0.611111111 2.235223""1 0.4473"247"6 2.4912565992

3.6 0.27777777" 4.5 0.2222222222 4.94724349163 0.333333333 4.636363636 0.2156"62745 5.235223""062 0.5 3.2"57142"6 0.304347"261 3."19"16513"

0.9 1.111111111 1.347243492 0.742256322" 1.526"591"973.6 0.27777777" 4.""57142"6 0.20467"3626 5.419"16513"

2 0.5 2.9 0.344"275"62 3.34724349161.2"57142"57 0.77777777" 1."19"16514 0.54950594"" 2.0692735695

tab.7.1ng # corectat

599.99"799.9991

100.003199.9991

0.000099.999"99.9996

99.9991100.0015

0.0000100.0007

99.996" tab.7.4100.0010 #/ung # :a'oare100.0015 1 2

0.0000 1 2.5"


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99.99"7 2 2.34100.0005 3 -0.37

99.9976 4 2.19100.0031 5 2.13

0.000099.99"5

99.9995100.0027

99.99930.0000

tab.7.3E term Liber Suma

e w s Control

0 -8.0 -5.0 3.0

-1 -5.0 -4.0 1.0

0 6.0 8.0 2.0

-1 -7.0 -5.0 2.0

4 -4.0 -2.0 2.0

-18.0000

0 -4.0000 -2.5000 -2.5000

-0.5163977795 -3.6148 -2.7111 -2.7111-0.1380131119 2.1392 3.4158 3.4158

-0.5546054 -3.0503 -1.6731 -1.6731

1.8457 -3.9351 -2.0894 -2.0894

40.433 40.433 40.433

1.8457 3.9351

1.1824 3.0503

0.2942 -2.1392

1.1010 3.6148

0.0000 4.0000

tab.7.25 ( 4 1- 2-"=0


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5 6 70 3 9

-1 1 10 2 4

-1 2 44 2 4

2 10 100100

tab.7.6E term Liber Suma

e w s Control

0.0 -10.61 -2.8 7.8 7."-3.8 -11.79 -8.0 3.8 3."0.0 -11.67 -5.1 6.6 6.6-2.0 -3.28 2.3 5.6 5.611.6 -12.88 -7.1 5.8 5."

-50.2300

0 -3.2285 -0.8550 -0.8550

-1.063502664 -4.1245 -2.4545 -2.4545

-0.2526040279 -4.2810 -2.0172 -2.0172

-0.7080575251 -2.3965 0.0834 0.0834

3.1471 -6.3693 -3.2222 -3.2222

41.843 41.843 41.843

3.1471 6.3693

1.4330 2.3965

0.5112 4.2810

2.1524 4.1245

0.0000 3.2285

tab.7.54 5 (

4 5 6 7

- 1;4 2- 3- 5-5=- 2;4 3- 4;6=0- 3;4 4- 5-7=0- 2- 4;4 5-4=0

10." 1-3 2-3 1;13.6-3 2;13.2-3.6 3;11.-3." 2-2 4


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0.0 0.0 " 610.0 -3." 4 14

-3.6 0.0 10 9211.2 -2.0 6 31-2.0 11.6 6 34

6 6 33 1063

1063


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pct coord c#t#te gra%cX Y

1 2 31() 1000 20001() 1000 2000

4 943 36""4 943 36""

4 943 36""7 740 40077 740 40077 740 4007

10 495 42"410 495 42"4


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Apro!#mat#a 3 Apro!#mat#a 4p 1,p p 1,p p

9 10 11 12 13

0.2040363362 5.10754"21 0.1957""6561 5.16613"05"7 0.19356"19130.3305694937 3.37509914 0.2962"75932 3.4327303145 0.29131330120.534605"299 2.0322053" 0.4920762494 2.06235959"2 0.4"4""149250.2040363362 5.10754"21 0.1957""6561 5.16613"05"7 0.19356"1913

0.27044"65" 3.76134371 0.265"62435" 3."257913245 0.2613"3"32"0.4744"49942 2.16613"06 0.4616510919 2.19"033961" 0.4549520241

0.27044"65" 3.76134371 0.265"62435" 3."257913245 0.2613"3"32"0.275"557""7 3.97509914 0.251566053 4.0327303145 0.24797095"10.1""2639023 5.43666126 0.1"393641"4 5.4"2"79497" 0.1"23"59161

0.73456"349 1.42579132 0.7013649072 1.44562"3"33 0.6917407071

0.3305694937 3.37509914 0.2962"75932 3.4327303145 0.29131330120.2326902057 4.36134371 0.2292"71342 4.4257913245 0.22594"29410.25299"0155 4.2175416" 0.237104947" 4.3272227147 0.23109510790.2092790362 4."6316673 0.2056273319 4."97533"29" 0.2041"439"71.0255367511 1.03273031 0.96"3070071 1.049"234649 0.95254110190.25299"0155 4.2175416" 0.237104947" 3.0327303145 0.329735""030.1979517947 5.19232943 0.1925917"63 5.2379369"51 0.190914"5""0.450949"102 2.32722271 0.4296967341 1.9206733513 0.5206507391


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0.1979517947 5.19232943 0.1925917"63 5.2379369"51 0.190914"5""0.3357609445 3.06316673 0.3264595391 3.097533"29" 0.322"3747490.1"450"0913 5.66927357 0.1763"94417 5.7742541252 0.1731"254070.71"220"305 1.43793699 0.6954407671 1.455742075" 0.6"6934"7440.2092790362 4."6316673 0.2056273319 4."97533"29" 0.2041"439"70.30752"1396 3.39232943 0.2947"26915 3.4379369"51 0.290"721144

0.2216463003 4.63666126 0.2156724299 4.6"2"79497" 0.213543"250.202132763" 5.126"5919 0.1950511927 5.2053"64441 0.19210"69560.9405"62399 1.097533"3 0.911133646 1.1102364499 0.90070903370.1""2639023 5.43666126 0.1"393641"4 5.4"2"79497" 0.1"23"591610.2513630496 4.06316673 0.2461134543 4.097533"29" 0.244049235"0.1713730305 6.0912566 0.16416973" 6.1969071595 0.161370"2160.6109999"24 1.6"2"795 0.5942196107 1.7012416426 0.5"7"0597360.1713730305 6.0912566 0.16416973" 6.1969071595 0.161370"2160.230030"234 4.526"5919 0.2209037123 4.6053"64441 0.21713704420.401403"539 2.59690716 0.3"50734503 2.6419530217 0.37"507"659

0.202132763" 5.126"5919 0.1950511927 5.2053"64441 0.19210"69560.19101379"6 5.4912566 0.1"21076"01 5.5969071595 0.17"670106"0.2617926794 4.06927357 0.2457441071 4.1742541252 0.239563756"0.654939241" 1.6053"644 0.6229029" 1.63"42416"3 0.61034255920.1"450"0913 5.66927357 0.1763"94417 5.7742541252 0.1731"254070.29"7532""3 3.526"5919 0.2"353"3967 3.6053"64441 0.27736277"0.4"32613796 2.17425413 0.459927"3"4 2.2195325497 0.45054531"7

C# 'at. C## centru1 2

1.42 -0.021.42 1.46


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1.04 -2.632.52 1.31

-1.54-1.461.132.37

0.961.04

-0.13


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7 66 5

) 5 44 7-

" 9

9 10 10 7

7 "-

10 1111 6

) 6 77 10-

-10.61=02-3 3-3." 5-11.79=03-3.6 4-11.67=0

2 4-2 5-3.2"=011.6 5-12.""=0


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tab.7.9

r.core'ate#1 2 3

1 1.5" 0.7"2 2.16 2.533 1.70 1."04 1.20 1.375 2.02 2.04

Coord X Core'ata >Y


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d#&t.c#t#te or#ent. coord. 'oca'ep'an #-8 X Y

4 5 6 715 0 1015 200012 2"1.0"75622045 996.4"72949 19"".5256415115 "1.0"75622045 947.390""14 3702.34294"1110 3"1.0"75622045 952.5619654 36"5.07274573

19 2"1.0"75622045 937.43"2169 3669."322657310 2"1.0"75622045 737.0727457 3997.43"0345915 "1.0"75622045 744.390""14 4021.34294"111" 2"1.0"75622045 734.7309423 39"9.7""4622715 "1.0"75622045 499.390""14 429".34294"1110 2"1.0"75622045 492.0727457 4274.43"03459


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tab.6.1


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3."0.6"6934"744 9.27"7545162 2

3.6

3."2

0.9007090337 ".103174"146 33.6

3."0.5"7"059736 10.0306"21761 3

3.6

3.60.37"507"659 12.5 3

3.63

0.6103425592 9."437514711 2

3.60.45054531"7 11.4571929414 2


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r#entarea #&tante Coordonate re'at#:e#-8/m Δ!0/m Δ+0/m

3 4 5 6- - - -

0 300.005 300.0050 0.0000100.0009 240.005 -0.0034 240.0050

199.9996 300.007 -300.0070 0.0019299.99"60 240.006 -0.0053 -240.0060

e#nc #der# /mm - -10.61 -0."999.9970 3"0.01 0.017907549 3"0.00999957"

199.9956 300.00" -300.0079993 0.0207350644299.9992 3"0.01 -0.004775346 -3"0.00999997399.9996 300.007 300.007 -0.001""49996

e#nc #der# /mm - -11.79 -1"."3

#-8


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199.9990 200.005 -200.005 0.0031416712299.9972 3"0.009 -0.016713669 -3"0.00"999632399.9963 200.004 200.0039997 -0.0116241253

99.9992 3"0.01 0.004775346 3"0.00999997e#nc #der# /mm - -12."" -11.32

99.99"7 360.00" 0.00735149 360.007999925

199.9"7" 300.006 -300.0059945 0.057492295299.9963 360.009 -0.02092353 -360.00"999392399.9956 300.00" 300.0079993 -0.0207350644

e#nc #der# /mm - -11.67 -11.32199.99"7 200.004 -200.004 0.0040"41521299.9956 360.00" -0.024""1967 -360.00799914399.9969 200.005 200.004999" -0.0097391"07

99.9963 360.009 0.02092353 360.00"999392e#nc #der# /mm -3.2" -4.75

A B

a b

10.8 -3.0

-3.0 13.6

0.0 -3.0

0.0 0.0

0.0 -3.8

3.2864 -0.9128612089

3.5731

k4

k3 1.80

k2 2.53 3.5731

k1 0.78 3.2864 2.305

r.ec.,nec. 10 1


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1 10."2 -3.0

3 0.0

4 0.05 0.0( 8

reduct#e# ed.'#n#ara r#entarea atura de+/m # /mm &pr#8#n@

7 " 9 100 - - -

0.001 ".0623 192.0"33 2.-1-0.030 30."05" 2"5.4066 3.-2

-0.007 7.615" 274.223" 4.-3-0.01" 1".4391 2"6.0791 5.-4-0.024 25.29"2 279.5167 6.-5-0.024 26."32" 270.4"33 7.-6-0.009 25.6320 222."401 ".-7-0.020 40.3113 233.0499 9.-"-0.033 45.9674 250.9793 10.-9-0.039 49.2037 25".2571 11.-10

/g c cc


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tab.3.2punct

"2435

76"

109

11


26/42

ma! ?(m#n5.4379156"72 3." 10.6004491736

(0 m#n

100 2 7.6903741159pm#n= 0.37"507"659

? (0

? &m#n

m#n=


27/42


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Corect## pe co. re'at#:e Coord. re'.comp.d!/mm d+/mm Δ! /m Δ+ /m

7 " 9 10- - - -

4.74436 2.35152 300.0097 0.00243.79550 1.""122 0.0004 240.0069

-1.72553 -5.22414 -300.00"7 -0.00333.79552 1.""123 -0.0015 -240.0041

10.61 0."9 0 0".19526 9.595"" 0.02610 3"0.019601.36442 2.161"0 -300.00663 0.022900.50433 1."477" -0.00427 -3"0.00"151.72553 5.22414 300.00"73 0.00334

11.79 1"."3 0 0


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1.64531 1.34145 -200.0034 0.00457.69091 7.74"0" -0.0090 -3"0.00134.047"3 4.07792 200.00"0 -0.0075

-0.50433 -1."477" 0.0043 3"0.00"212."" 11.32 0 0

6.12660 6.49664 0.0135 360.0145

5.10549 5.413"6 -300.0009 0.06291."0204 1.57097 -0.0191 -360.0074

-1.36442 -2.161"0 300.0066 -0.022911.67 11.32 0 0

2.40253 2.7364" -200.0016 0.006"4.32457 4.9256" -0.0206 -360.0031

-1.64531 -1.34145 200.0034 -0.0111-1."0204 -1.57097 0.0191 360.0074

3.2" 4.75 0 0

ordonataC D E term Liber

c d e w

0.0 0.0 0.0 -0.89

-3.0 0.0 -3.8 -18.83

13.2 -3.6 0.0 -11.32

-3.6 11.2 -2.0 -4.75

0.0 -2.0 11.6 -11.32

-47.1100

0 0 0 -0.2708

-0.8396073663 0 -1.063502664 -5.3391

3.5349 -1.0184224158 -0.2526040279 -4.4705

3.1880 -0.7080575251 -2.9181

3.1471 -6.4166

51.144

k5 2.04 3.1471 6.4166

1.37 3.1880 1.4437 2.9181

3.5349 1.3934 0.5150 4.4705

1.515 0.0000 2.1684 5.3391

0.0000 0.0000 0.0000 0.2708

2 3 4 52 3 4 5


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-3.0 0.0 0.0 0.013.6 -3.0 0.0 -3."

0.0 13.2 -3.6 0.00.0 -3.6 11.2 -2.0

-3." 0.0 -2.0 11.67 7 6 6

tab.".1r#entarea 'at. educt#a ung #'/g c cc # / g c cc

11 12- -

200.0000 392.0"33300.0009 3"5.4057

399.9996 274.2242399.9963 2"6.0"2"299.9972 379.5195199.9990 70.4"43199.9956 22."445299.99"7 333.0512399.9"7" 250.9915399.99"7 25".25"4


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tab.6.2?d#r ma! ? ma!10.60044917 14.99129"9""5

?d#r m#n ? m#n

15.0"016""2 21.32657927333."451"705"


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tab.7.10Coord. ca'cu'ate


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"00.0263 2620.0562 6"00.0172 2240.0550 5

1000.0253 2240.0474 41000.0296 2620.0556 7

- - -1300.0497 29"0.0433 9

1000.04"" 29"0.1062 101000.0297 2620.09"" 71300.0364 2620.0759 "

- - -"00.0472 29"0.1131 11"00.0267 2620.1100 6

1000.0300 2620.09"9 71000.0492 29"0.1063 10

- - -

tab.7."Suma

s Control

6.9 7.8 7."-15.0 3.8 3."

-4.7 6.6 6.60.9 5.6 5.6

-5.5 5.8 5."

2.1027 2.1027

-3.6691 -3.6691

-2.2067 -2.2067

-0.4382 -0.4382

-3.2696 -3.2696

51.144 51.144

tab.7.7 (

6 7

10." 1-3 2-0."9=0-3 1;13.6 2-3 3-3." 5--3 2;13.2 3-3.6 4-11.3-3.6 3;11.2 4-2 5-4.75-3." 2-2 4;11.6 5-11.3


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" 614 14

10 926 316 34

33 1063

1063


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1"."3=02=0=02=0


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m.i.c.-2-lucrarea-2-adeea.xlsx

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