LUCRARE PRACTICA NR.1NR MATRIC 66

Valorile parametrilor elipsoidului WGS-84a= 6378137b= 6356752.31427c= 0.00335281066

0.006694379982e'²= 0.006739496734c= 6399593.62572

Determinarea razelor de curbura M, N, R, r pe elipsoidul WGS-84φ, ° ´ M(m) N(m) R(m)45 0 6367381.815633 6388838.2901081 6378101.0302011145 1 6367400.477099 6388844.53155232 6378113.4921165446 0 6368501.437615 6389212.73310419 6378848.679503446 1 6368520.09299 6389218.97177972 6378861.1366208247 0 6369620.023068 6389586.7856237 6379595.5928913347 1 6369638.649604 6389593.01392596 6379608.0300239148 0 6370736.207505 6389959.99160015 6380340.85946848 1 6370754.782472 6389966.20193319 6380353.2614426649 0 6371848.628177 6390331.89575986 6381083.5697076249 1 6371867.128886 6390338.08054569 6381095.92138355

Lungimea arcului de meridian dintre A1 si A2Calculul coeficientilor constanti

e² A B C D0.00669438 1.00505250178202 0.005063108591 1.06275901327102E-05 2.0820378188E-08

φ φ (rad) Sm(1°), m Sm(1'), m45 0 0.78539816339745 1 0.785689051606 1852.1990044383546 0 0.802851455917 111141.54847442646 1 0.803142344126 1852.5246883943747 0 0.820304748437 111161.08250402647 1 0.820595636646 1852.850067527148 0 0.837758040957 111180.91121147848 1 0.838048929166 1853.17474492731

Lungimea arcului de paralel de φ° φ (rad) N, m Sp (1°), m

e²=

Lungimea arcului de meridian de 1°1´1´´ dintre doua latitudini

de 1°1'1'' pentru latitudinile date

45 0 0.785398163397 6388838.2901081 78846.835093817245 1 0.785689051606 6388844.53155232 78823.973149056146 0 0.802851455917 6389212.73310419 77463.299101824246 1 0.803142344126 6389218.97177972 77440.037669655247 0 0.820304748437 6389586.7856237 76055.99830049247 1 0.820595636646 6389593.01392596 76032.344332660748 0 0.837758040957 6389959.99160015 74625.353562245548 1 0.838048929166 6389966.20193319 74601.314137915349 0 0.855211333477 6390331.8957598649 1 0.855502221686 6390338.08054569

determinarea coordon. unei localitati de pe harta Moldovei la scara 1:400000nr. de ord. denum.localit. φ1 φ2 ƛ1

1 Briceni2 Edinet3 Ocnita4 Donduseni5 Soroca6 Glodeni7 Balti8 Orhei9 Chisinau

10 Anenii Noi11 Cimislia12 Leova13 Cahul 14 Cantemir15 Comrat

lucrarea 2tab 2.1

n= 56600000n rm = 4060000

R= 6378209.04

ρ(m) ρ(cm)90 0 080 10 1113207.481285 1.9667976701142570 20 2226414.962569 3.9335953402285160 30 3339622.443854 5.9003930103427650 40 4452829.925139 7.86719068045701

48°20´ 48°40´ 27°00´48°00´ 48°20´ 27°00´48°20´ 48°40´ 27°00´48°00´ 48°20´ 27°30´48°00´ 48°20´ 28°00´47°40´ 48°00´ 27°30´47°40´ 48°00´ 27°30´47°20´ 47°40´ 28°30´47°00´ 47°20´ 28°30´46°40´ 47°00´ 29°00´46°20´ 46°40´ 28°30´46°20´ 46°40´ 28°00´45°40´ 46°00´ 28°00´46°00´ 46°20´ 28°00´46°00´ 46°20´ 27°00´

φ, ° ψ, °

40 50 5566037.406423 9.83398835057126

tab 2.2ƛ 180 170 160 150δ 0 10 20 30

tab 2.3 n= 56600000ƛ δ x(m) y(m) x(cm)

180 0 5566037.406423 0 9.83398835057126170 10 5481476.791402 966532.252451379 9.68458797067432160 20 5230364.277834 1903696.91150094 9.2409262859264150 30 4820329.792377 2783018.70321167 8.51648373211494140 40 4263832.025383 3577779.87990072 7.53327212965188130 50 3577779.879901 4263832.02538296 6.32116586554898120 60 2783018.703212 4820329.79237706 4.91699417528563110 70 1903696.911501 5230364.27783434 3.36342210512534100 80 966532.2524514 5481476.79140166 1.7076541562745290 90 3.409611064E-10 5566037.40642334 0

tab 2.4φ, ° ψ, ° h k p=k90 0 1 0 080 10 1 1.00509505797521 1.0050950579752170 20 1 1.02060026934287 1.0206002693428760 30 1 1.0471975511966 1.047197551196650 40 1 1.08610012121762 1.0861001212176240 50 1 1.13918276391913 1.13918276391913

tab 2.5φ, ° 90 80 70 60D 0 5.09505797521 20.6002693428742 47.1975511965979

tab 2.6φ, ° semiaxele elipsoidului tg(45+ω/4) rad(45+ω/4)

a b 90 0 1 0 080 1.00509505797521 1 1.00254429227601 0.7866686925521870 1.02060026934287 1 1.01024762773435 0.7904958134718760 1.0471975511966 1 1.02332670794649 0.7969265411158950 1.08610012121762 1 1.04216127409227 0.8060406493650440 1.13918276391913 1 1.06732505073156 0.81795292059769

tab. 2.7R= 6378209.04 n= 4060000φ, ° ψ, ° ρ(m) ρ(cm)45 45 5009433.665781 123.38506565963146 44 4898112.917653 120.64317531163947 43 4786792.169524 117.90128496364748 42 4675471.421396 115.159394615655

49 41 4564150.673267 112.417504267663

tabel 2.8ƛ 26 27 28 29δ 154 153 152 151

tab 2.9

φ, ° ƛ 26 27 2845 x -4502449.154135 -4463438.07869973 -4423067.3967878

y 2195991.180832 2274235.29334003 2351786.6517464646 x -4402394.728487 -4364250.56583973 -4324777.0101925

y 2147191.376814 2223696.7312658 2299524.726152147 x -4302340.30284 -4265063.05297974 -4226486.6235972

y 2098391.572795 2173158.16919158 2247262.8005577348 x -4202285.877192 -4165875.54011974 -4128196.237002

y 2049591.768777 2122619.60711736 2195000.8749633649 x -4102231.451545 -4066688.02725975 -4029905.8504067

y 2000791.964758 2072081.04504314 2142738.949369

tab 2.10

φ, ° ƛ 26 27 2845 x -110.8977624171 -109.936898490141 -108.94254671891

y 54.08845272986 56.0156476192125 57.925779599666546 x -108.4333676967 -107.493856301471 -106.52160123627

y 52.88648711364 54.7708554498967 56.638540053007347 x -105.9689729763 -105.050814112801 -104.10065575363

y 51.68452149742 53.5260632805808 55.35130050634848 x -103.504578256 -102.607771924132 -101.67971027098

y 50.4825558812 52.281271111265 54.064060959688849 x -101.0401835356 -100.164729735462 -99.258764788342

y 49.28059026498 51.0364789419492 52.7768214130295

tab 2.11φ, ° ψ, ° h k p=k45 45 1 1.11072073453959 1.1107207345395946 44 1 1.10550006094375 1.1055000609437547 43 1 1.10043018034352 1.1004301803435248 42 1 1.09550852833727 1.0955085283372749 41 1 1.09073263486483 1.09073263486483

tab 2.12φ, ° semiaxele elipsoidului tg(45+ω/4) 45+ω/4

a b 45 1.11072073453959 1 1.05390736525541 46.5034541645389

46 1.10550006094375 1 1.05142762991266 46.43605802091947 1.10043018034352 1 1.0490139085558 46.370295552417348 1.09550852833727 1 1.04666543285678 46.306158358882849 1.09073263486483 1 1.044381460418 46.2436382663722

tab 3.1 0.75470958ƛ δ δ° ´ ´´ ƛ δ

-180 -135.8477244 135°50´52 ´´ 20 15.0941916-160 -120.7535328 120°45´13 ´´ 40 30.1883832-140 -105.6593412 105°39´34 ´´ 60 45.2825748-120 -90.5651496 90°33´55 ´´ 80 60.3767664-100 -75.470958 75° 28´15 ´´ 100 75.470958-80 -60.3767664 60° 22´36 ´´ 120 90.5651496-60 -45.2825748 45° 16´ 57´´ 140 105.6593412-40 -30.1883832 30° 11´ 18´´ 160 120.7535328-20 -15.0941916 15°05 ´39 ´´ 180 135.84772440 0 0° 0´ 0´´

tab 3.2 c= R= scara generala10980841.49 6367558 83000000

φ, ° Sm ρ(m) ρ(cm)40 4445394.0964682 6535447.393532 7.8740330042551850 5556742.62058525 5424098.869415 6.5350588788129560 6668091.14470231 4312750.345298 5.1960847533707270 7779439.66881936 3201401.821181 3.8571106279284980 8890788.19293641 2090053.297064 2.5181365024862690 10002136.7170535 978704.7729465 1.17916237704403

tab 3.3ƛ δ x(m) y(m) x(cm)

-180 -135.8477244 15669966.57517 -4552381.63703398 18.8794778014157-160 -120.7535328 14322716.86461 -5616399.34604175 17.2562853790443-140 -105.6593412 12744871.30167 -6292874.65767003 15.3552666285233-120 -90.5651496 11045304.27626 -6535129.46947562 13.30759551357-100 -75.470958 9341289.194154 -6326447.73176915 11.2545652941612-80 -60.3767664 7750406.385626 -5681228.88731407 9.33783901882691-60 -45.2825748 6382429.835681 -4643994.28197778 7.68967450082016-40 -30.1883832 5331752.567153 -3286315.10591795 6.42379827367785-20 -15.0941916 4670873.339911 -1701873.84329293 5.627558240856690 0 4445394.096468 0 5.35589650176892

20 15.0941916 4670873.339911 1701873.84329293 5.6275582408566940 30.1883832 5331752.567153 3286315.10591795 6.4237982736778560 45.2825748 6382429.835681 4643994.28197778 7.68967450082016

α=

80 60.3767664 7750406.385626 5681228.88731407 9.33783901882691100 75.470958 9341289.194154 6326447.73176915 11.2545652941612120 90.5651496 11045304.27626 6535129.46947562 13.30759551357140 105.6593412 12744871.30167 6292874.65767003 15.3552666285233160 120.7535328 14322716.86461 5616399.34604175 17.2562853790443180 135.8477244 15669966.57517 4552381.63703398 18.8794778014157

tab 3.4φ, ° k = a = p h = b ω° ω° ´ ´´40 1.01117962460112 1 0.636987961850934 0°38´ 13´´50 1.00015440879593 1 0.00884628936270815 0°00´ 32´´60 1.02233038214791 1 1.2653349459118 1°15´55´´70 1.10941863456041 1 5.94670080945338 5°56´ 48´´80 1.42657327623806 1 20.2495548939791 20°14´ 58´´90 - 1 - -

R= 6371007.18scara generala 4060000

α= 4345016.449tab 4.1

φ, ° ƛ 26 27 2845 x(m) 5003777.338164 5003777.33816396 5003777.33816396

y(m) 1971705.920297 2047540.76338578 2123375.6064741446 x(m) 5114972.390123 5114972.39012316 5114972.39012316

y(m) 1971705.920297 2047540.76338578 2123375.6064741447 x(m) 5226167.442082 5226167.44208235 5226167.44208235

y(m) 1971705.920297 1971705.92029742 1971705.9202974248 x(m) 5337362.494042 5337362.49404155 5337362.49404155

y(m) 1971705.920297 1971705.92029742 1971705.9202974249 x(m) 5448557.546001 5448557.54600075 5448557.54600075

y(m) 1971705.920297 1971705.92029742 1971705.92029742

tab 4.2φ, ° ƛ 26 27 2845 x(cm) 123.2457472454 123.245747245418 123.245747245418

y(cm) 48.564185229 50.432038507039 52.299891785077446 x(cm) 125.9845416286 125.984541628649 125.984541628649

y(cm) 48.564185229 50.432038507039 52.299891785077447 x(cm) 128.7233360119 128.723336011881 128.723336011881

y(cm) 48.564185229 50.432038507039 52.299891785077448 x(cm) 131.4621303951 131.462130395112 131.462130395112

y(cm) 48.564185229 50.432038507039 52.299891785077449 x(cm) 134.2009247783 134.200924778344 134.200924778344

y(cm) 48.564185229 50.432038507039 52.2998917850774

tab 4.3φ, °N 47φ, ° k = p h a b45 0.96449133031659 1 1 0.9644913303165946 0.98177519924199 1 1 0.9817751992419947 1 1 1 148 1.01923055615952 1 1.01923055615952 149 1.03953810545357 1 1.03953810545357 1

tab e2= 0.006694379982 K= 451.7666a= 6378137 K2= 7.855

10^-4 0.0001φ, ° lgU rm x mm x'=x-x0374247 0.47996134432327 10.6580169251752576267

tab nr. Matric 66

punct x(m) y(m) x+Nm Y+Nm1 5104000 -191000 5104066 -1909342 5134000 -186000 5134066 -1859343 5154000 -194000 5154066 -1939344 5184000 -184000 5184066 -1839345 5204000 -187000 5204066 -186934

R= 6379247.183fm= 0.0000000025343ρ= 206265

triunghiul δ corect pt directii corect pt unghiuri suprafataδ12= 14.389806086 -9.931110724δ13= 24.32091681

1 δ23= 9.559413390667 23.8225044766667δ21= -14.263091086 -170000000δ31= -24.44763181 -14.7530557526667 170000000δ32= -9.694576057333

-0.861662000000003 0.86165934306508δ24= 23.47615014333 13.9167367526667δ23= 9.559413390667

2 δ32= -9.694576057333 -24.1857541433333

c Δ123= ε=

δ34= 14.491178086 -220000000δ43= -14.237748086 9.15392539066666 220000000δ42= -23.39167347667

-1.115092 1.11508856161363δ34= 14.491178086 -9.78750039066667δ35= 24.27867847667

3 δ45= 9.373564724 23.61131281δ43= -14.237748086 -145000000δ53= -23.98301014333 -14.5587594193333 145000000δ54= -9.424250724

-0.734946999999997 0.7349447337908

tab 7.2xp= 5134066yp= -113934

punct sm ϴ° ´ ´´ ϴ° x(m)1 4066 9°9´9,09´´ 9.152525 5138080.23332642 8066 44°9´9,09´´ 44.152525 5139853.258442253 14066 99°9´9,09´´ 99.152525 5131828.61707574 19066 149°9´9,09´´ 149.152525 5117697.16547598

tab 7.3φm, ° = 46°20' 46.33333333

R= 6379097.777latura 1 2 3 4

elementesm 4066 8066 14066 19066

1/(2R^2) 1.22871592326E-14 1.228715923E-14 1.22871592325638E-14 1.2287159233E-14(ym)^2 12319397611.2813 11685459946.38 10765949208.3965 10028469706.1572

1/(24R^2) 1.02392993605E-15 1.023929936E-15 1.02392993604699E-15 1.023929936E-15(Δy)^2 8650764.51117137 34043654.68352 103528749.304482 190212440.904194S(m) 4066.63202384427 8067.221945139 14068.0494192673 19068.6881265519

S-s (m) 0.63202384426495 1.221945139431 2.04941926729953 2.68812655188594

punct sm ϴ° ´ ´´ ϴ° xi(m)1 4066.63202384427 9°9´9,09´´ 9.152525 5136873.417227422 8067.22194513943 44°9´9,09´´ 44.152525 5139635.263983373 14068.0494192673 99°9´9,09´´ 99.152525 5143778.0341173

c Δ123= ε=

c Δ123= ε=

4 19068.6881265519 149°9´9,09´´ 149.152525 5147230.34256223

D

xp= 5134007yp= -113993R= 6379097.777t1= 1.047659811r2 0.003212969N= 6389337.483

ro"= 206265

Tabelul calc coord rect plane TMM f-ie de coord geo

Elipsoidul WGS-4Parametriisem mare a 6378137SEM mica b 6356752.31427turtirea f 0.00335281066

prima excentr e2 0.0066943799820a doua exc e12 0.006739496734

Parametrii TMMlong merid axial

k0 0.99994abscisa conv X0 -5000000

ordonata Y0 200000

latitudinea ȹ 46*26'50,58" ȹ gradlongitudinea Ʌ 29*04'38,74" Ʌ grad

ȹradɅ rad

0.00409783553420026t2 1.10637557926185n 0.00167922038443142N 6386521.54638237B -5086819.84442753

Rezultatelex y y E

Ʌ0 Ʌ0 gradɅ0 rad

Transformarea Ʌ ȹ in X(N)) si Y(E)

ɳ2

r(m) ° φ (rad)4517590.8788397 45 0.78539816344516280.9858934 45.016666667 0.78568905164438320.105694 46 0.8028514559

4436987.3238053 46.016666667 0.80314234414357687.7092724 47 0.82030474844356332.4367469 47.016666667 0.82059563664275717.8037883 48 0.8377580414274340.4462322 48.016666667 0.83804892924192434.9384593 49 0.85521133354191035.9086761 49.016666667 0.8555022217

E F3.9323712746E-11 7.1084532E-14

Sm(1''), m

30.869983407306

30.875411473239

30.880834458785

30.886245748789

Sp (1'), m Sp (1''), m

1314.1139182304 21.9018986371313.7328858176 21.8955480971291.054985031 21.517583084

1290.6672944942 21.5111215751267.599971675 21.126666195

1267.2057388777 21.1200956481243.7558927042 20.7292648781243.3552356319 20.722587261

ƛ2 l1+l2 d1+d2 l1 d195 95 20 10 48.3052631695 95 60 50 48.175438695 95 90 20 48.2701754495 95 20 85 48.2982456195 95 55 45 48.157894795 95 5 30 47.6105263295 95 80 30 47.6105263295 95 65 15 47.2526315895 95 70 5 47.0175438695 95 45 55 46.7859649195 95 55 50 46.375438695 95 55 40 46.3403508895 95 35 65 45.6736842195 95 40 75 46.2631578995 95 30 80 46.28070175

rad ψ0

0.17453292519940.34906585039890.52359877559830.6981317007977

φ°27°30´27°30´27°30´28°00´28°30´28°00´28°00´29°00´29°00´29°30´29°00´28°30´28°30´28°30´27°30´

0.8726646259972

140 130 120 110 100 9040 50 60 70 80 90

y(cm) rad δ0 0

1.7076541562745 0.17453292523.3634221051253 0.34906585044.9169941752856 0.52359877566.321165865549 0.6981317008

7.5332721296519 0.8726646268.5164837321149 1.04719755129.2409262859264 1.22173047649.6845879706743 1.39626340169.8339883505713 1.5707963268

rad (ψ)0

0.17453292520.34906585040.52359877560.69813170080.872664626

50 40 86.100121217616 139.18276392

45+ω/4 ω° ω° ´ ´´

0 0 045.072795958314 0.291183833345.292073834699 1.1682953388 1°10´5´´,8645.660527387899 2.6421095516 2°38´31´´,5946.182727324601 4.7309092984 4°43´51´´,2746.865250190647 7.4610007626 7°27´39´´,6

rad ψ0.78539816339740.76794487087750.75049157835760.7330382858376

0°17´28´´,26

0.7155849933177

30 31150 149

29 30 31 ƛ ƛ (rad)-4381349.4056996 -4338296.8131 -4293922.733 26 0.4537856062428621.6331565 2504716.8329 2580049.0716 27 0.471238898-4283986.085573 -4241890.2173 -4198502.228 28 0.4886921912374652.2635308 2449056.4588 2522714.6478 29 0.506145483-4186622.7654463 -4145483.6214 -4103081.723 30 0.5235987762320682.8939051 2393396.0848 2465380.224 31 0.541052068-4089259.4453196 -4049077.0256 -4007661.2182266713.5242794 2337735.7107 2408045.8002-3991896.125193 -3952670.4297 -3912240.7132212744.1546537 2282075.3366 2350711.3764

29 30 31 rad δ-107.9150099926 -106.85460131 -105.7616437 0.45378560659.818266826515 61.69253283 63.54800669 0.471238898-105.51689865943 -104.48005461 -103.4113849 0.48869219158.488972008148 60.321587656 73.135406637 0.506145483-103.11878732626 -102.10550792 -101.0611262 0.52359877657.159677189781 58.950642482 60.723650837 0.541052068-100.72067599309 -99.730961222 -98.7108674355.830382371414 57.579697308 59.311472911-98.322564659926 -97.356414526 -96.3606086854.501087553047 56.208752134 57.899294984

rad (ψ)0.78539816340.76794487090.75049157840.73303828580.7155849933

ω° ω° ´ ´´ D(m/km) rad(45+ω/4)

6.0138166581554 6°0´49´´,74 110.72073454 0.811638389

5.7442320836761 5°44´39´´,24 105.50006094 0.8104621045.4811822096691 5°28´52´´,29 100.43018034 0.8093143335.224633435531 5°13´28´´,68 95.508528337 0.808194927

4.9745530654889 4°58´28´´,39 90.732634865 0.807103746

δ° ´ ´´15°05 ´39 ´´30°11 ´18 ´´45° 16´ 57´´60° 22´ 36´´75° 28´ 15´´90° 33´ 55´´

105° 39´ 34´´120° 45´ 13´´135° 50´ 52´´

rad φ0.69813170079770.87266462599721.04719755119661.221730476396

1.39626340159551.5707963267949

y(cm) δ(rad)-5.484797153053 -2.370990072

-6.7667462000503 -2.107546731-7.581776695988 -1.844103389

-7.8736499632236 -1.580660048-7.6222261828544 -1.317216707-6.8448540811013 -1.053773365-5.5951738337082 -0.790330024-3.9594157902626 -0.526886683-2.0504504136059 -0.263443341

0 02.0504504136059 0.26344334133.9594157902626 0.52688668275.5951738337082 0.790330024

6.8448540811013 1.05377336547.6222261828544 1.31721670677.8736499632236 1.58066004817.581776695988 1.8441033894

6.7667462000503 2.10754673085.484797153053 2.3709900721

D(m/km) rad φ, tg(45+ω/4) rad(45+ω/4) 45+ω/411.179624601122 0.6981317008 1.005574276 0.788177548 45.15924699050.154408795928 0.872664626 1.0000772014 0.785436763 45.0022115723

22.330382147906 1.0471975512 1.0111035467 0.790919229 45.3163337365109.41863456041 1.2217304764 1.0532894353 0.811345541 46.4866752024426.57327623806 1.3962634016 1.1943924297 0.873753515 50.0623887235

- 1.5707963268 - - -

29 30 315003777.338164 5003777.3382 5003777.3382

2199210.4495625 2275045.2927 2350880.13575114972.3901232 5114972.3901 5114972.39012199210.4495625 2275045.2927 2350880.13575226167.4420824 5226167.4421 5226167.44211971705.9202974 1971705.9203 1971705.92035337362.4940416 5337362.494 5337362.4941971705.9202974 1971705.9203 1971705.92035448557.5460008 5448557.546 5448557.5461971705.9202974 1971705.9203 1971705.9203

29 30 31123.24574724542 123.24574725 123.2457472554.167745063116 56.035598341 57.903451619125.98454162865 125.98454163 125.9845416354.167745063116 56.035598341 57.903451619128.72333601188 128.72333601 128.7233360154.167745063116 56.035598341 57.903451619131.46213039511 131.4621304 131.462130454.167745063116 56.035598341 57.903451619134.20092477834 134.20092478 134.2009247854.167745063116 56.035598341 57.903451619

ω° ω° ´ ´´ D(m/km) tg(45+ω/4) 45+ω/42.0713837492585 2°04´ 17´´ -35.50866968 1.0182416 45.51784593731.053821730067 1° 03´ 14´´ -18.22480076 1.009238876 45.2634554325

0 0 0 1 451.0913527027579 1° 05´ 29´´ 19.23055616 1.009569491 45.27283817572.2215897624304 2° 13´ 18´´ 39.538105454 1.019577415 45.5553974406

FI 0 52 TAN 45 0.7853981634

ƛ-ƛ0 y mm m P RAD ψ0.6457718230.7330382860.820304748 0.750491578360.9075712110.9948376741.0821041361.169370599

y(m) xi(m) yi(m) ym-113287.24904236 5136873.4172 -110992.7818 -112463.391-108315.45964484 5139635.264 -108099.3059 -111016.653-100047.08264408 5143778.0341 -103759.0922 -108846.546-104157.82424845 5147230.3426 -100142.2474 -107038.124

yi(m) xr-x(m) yr-y(m)-110992.7817981

-108099.30594774-103759.09217219

-100142.24735923

28.40.4956735075664

46.4473832529.07742753

0.81065976664820.5074968484085

48°29'28'' 27.10526316 27°06'18''48°10'31'' 27.31578947 27°18'56''48°24'12'' 27.47368421 27°28'25''48°17'53'' 27.40526316 27°36'18''48°9'28'' 28.28947368 28°17'22''

47°52'38'' 27.457889474 27°31'34''47°52'37'' 27.72105263 27°55'15''47°23'9'' 28.50526316 28°50'31''47°1'3'' 28.66842105 28°52'6''47°3'9'' 29.23684211 29°14'12''

46°30'31'' 28.58947368 28°47'22''46°31'34'' 28.28947368 28°17'22''46°7'22'' 28.18421053 28°11'03''

46°15'47'' 28.21052632 28°12'37''46°16'50'' 28.45789474 28°39'38''

φ° ' '' ƛ° ƛ° ' ''

0 -90 -180180 270 360