0°

180°

90°

135°

45°

-45°

-90°

-135°

Eje

Ecuador

Octantes

Meridiano de Greenwich

Corteza terrestre

Meridianos

Paralelos

Trópico de Cáncer

Trópico de Capricornio

Círculo polar ártico

Círculo polar antártico

País

VER

Capital

Latitud

Longitud

Afganistán

Kabul

Albania

Tirana

Alemania

Berlín

Andorra

Andorra La Vella

Angola

Luanda

Anguila

El Valle

Antigua y Barbuda

Saint John

Antillas Holandesas

Willemstad

Arabia Saudita

Riad

Argelia

Argel

Argentina

Buenos Aires

Armenia

Ereván

Aruba

Oranjestad

Australia

Canberra

Austria

Viena

Azerbaiyán

Bakú

Bangladés

Daca

Barbados

Bridgetown

Baréin

Manama

Bélgica

Bruselas

Belice

Belmopán

Benín

Porto-Novo

Bermudas

Hamilton

Bielorrusia

Minsk

Bolivia

La Paz

Bosnia y Herzegovina

Sarajevo

Botsuana

Gaborone

Brasil

Brasilia

Bulgaria

Sofía

Burkina Faso

Uagadugú

Burundi

Buyumbura

Cabo Verde

Praia

Camboya

Phnom Penh

Camerún

Yaundé

Canadá

Ottawa

Catar

Doha

Centroafricana. Rep.

Bangui

Chequia

Praga

Chile

Santiago

China

Hong Kong

China

Pekín

Chipre

Nicosia

Colombia

Bogotá

Congo. Rep.

Brazzaville

Congo. Rep. Dem.

Kinshasa

Corea del Norte

Pionyang

Corea del Sur

Seúl

Costa de Marfil

Yamusukro

Costa Rica

San José

Croacia

Zagreb

Cuba

La Habana

Dinamarca

Copenhague

Dominica

Roseau

Dominicana. Rep.

Santo Domingo

Ecuador

Quito

Egipto

El Cairo

El Salvador

San Salvador

Emiratos Árabes

Abu Dabi

Eritrea

Asmara

Eslovaquia

Bratislava

Eslovenia

Liubliana

España

Madrid

Estados Unidos

Washington

Estonia

Tallin

Etiopía

Adís Abeba

Filipinas

Manila

Finlandia

Helsinki

Fiyi

Suva

Francia

París

Gabón

Libreville

Gambia

Banjul

Georgia

Tiflis

Ghana

Acra

Gibraltar

Gibraltar

Granada

Saint George

Grecia

Atenas

Groenlandia

Nuuk

Guam

Agaña

Guatemala

Guatemala

Guayana Francesa

Cayena

Guernsey

Saint Peter Port

Guinea

Conakry

Guyana

Georgetown

Haití

Puerto Príncipe

Honduras

Tegucigalpa

Hungría

Budapest

India

Nueva Delhi

Indonesia

Yakarta

Irak

Bagdad

Irán

Teherán

Irlanda

Dublín

Isla de Man

Douglas

Isla de Navidad

Flying Fish Cove

Isla Norfolk

Kingston

Islandia

Reikiavik

Islas Caimán

George Town

Islas Cook

Avarua

Islas Feroe

Tórshavn

Islas Marianas

Saipán

Islas Marshall

Majuro

Islas Salomón

Honiara

Islas Vírgenes

Charlotte Amalie

Israel

Jerusalén

Italia

Roma

Jamaica

Kingston

Japón

Tokio

Jordania

Ammán

Kazajistán

Astaná

Kenia

Nairobi

Kirguistán

Bishkek

Kuwait

Kuwait

Laos

Vientián

Las Bahamas

Nassau

Lesoto

Maseru

Letonia

Riga

Líbano

Beirut

Liberia

Monrovia

Libia

Trípoli

Liechtenstein

Vaduz

Lituania

Vilna

Luxemburgo

Luxemburgo

Macedonia

Skopie

Madagascar

Antananarivo

Malasia

Kuala Lumpur

Malaui

Lilongüe

Maldivas

Malé

Malí

Bamako

Malta

La Valeta

Marruecos

Rabat

Martinica

Fort-De-France

Mauricio

Port Louis

Mauritania

Nuakchot

México

Ciudad de México

Moldova

Chişinău

Mónaco

Mónaco

Mongolia

Ulán Bator

Mozambique

Maputo

Namibia

Windhoek

Nepal

Kathmandú

Nicaragua

Managua

Níger

Niamey

Nigeria

Abuya

Noruega

Oslo

Nueva Caledonia

Numea

Nueva Zelanda

Wellington

Omán

Mascate

Países Bajos

Ámsterdam

Pakistán

Islamabad

Palestina. Territorio Ocupado

Gaza

Panamá

Panamá

Papúa Nueva Guinea

Port Moresby

Paraguay

Asunción

Perú

Lima

Polinesia Francesa

Papeete

Polonia

Varsovia

Portugal

Lisboa

Puerto Rico

San Juan

Reino Unido

Londres

Reunión

Saint-Denis

Ruanda

Kigali

Rumanía

Bucarest

Rusia

Moscú

Samoa

Apia

Samoa Americana

Pago Pago

San Cristóbal y Nieves

Basseterre

San Marino

San Marino

San Vicente y las Granadinas

Kingstown

Santa Lucía

Castries

Santo Tomé y Príncipe

Santo Tomé

Senegal

Dakar

Serbia

Belgrado

Seychelles

Victoria

Sierra Leona

Freetown

Singapur

Singapur

Siria

Damasco

Somalia

Mogadiscio

Sri Lanka

Colombo

Suazilandia

Mbabane

Sudáfrica

Pretoria

Sudán

Jartum

Suecia

Estocolmo

Suiza

Berna

Surinam

Paramaribo

Tailandia

Bangkok

Taiwán

Taipéi

Tanzania

Dodoma

Tayikistán

Dusambé

Togo

Lomé

Tonga

Nukualofa

Trinidad y Tobago

Puerto España

Túnez

Túnez

Turkmenistán

Asjabad

Turquía

Ankara

Ucrania

Kiev

Uganda

Kampala

Uruguay

Montevideo

Uzbekistán

Taskent

Vanuatu

Port Vila

Venezuela

Caracas

Vietnam

Hanói

Yemen

Saná

Zambia

Kabul

Zimbabue

Tirana

OTRAS

CIUDADES

País

Ver

Ciudad

Latitud

Longitud

Brasil

Río de Janeiro

Brasil

São Paulo

China

Cantón

China

Shenzhen

China

Wuhan

España

A Coruña

España

Albacete

España

Alicante

España

Almería

España

Ávila

España

Avilés

España

Badajoz

España

Barcelona

España

Bilbao

España

Burgos

España

Cádiz

España

Castellón

España

Córdoba

España

Cuenca

España

Gijón

España

Girona

España

Granada

España

Huelva

España

Huesca

España

Ibiza

España

Jaén

España

Las Palmas

España

León

España

Lleida

España

Logroño

España

Lugo

España

Málaga

España

Murcia

España

Ourense

España

Oviedo

España

Palma

España

Pamplona

España

Pontevedra

España

Sabadell

España

Salamanca

España

San Sebastián

España

Santa Cruz

España

Santander

España

Santiago de Compostela

España

Segovia

España

Sevilla

España

Teruel

España

Toledo

España

Valencia

España

Valladolid

España

Vitoria

España

Zaragoza

Estados Unidos

Boston

Estados Unidos

Chicago

Estados Unidos

Filadelfia

Estados Unidos

Kansas

Estados Unidos

Las Vegas

Estados Unidos

Los Ángeles

Estados Unidos

Miami

Estados Unidos

Mineápolis

Estados Unidos

Nueva Orleans

Estados Unidos

Nueva York

Estados Unidos

Oklahoma

Estados Unidos

San Francisco

Estados Unidos

Seatle

India

Bombay

España

Pravia

Ciudades

Capitales

Otras

Nombres

0]

O

E

Punto A

N

S

E

O

Posición del punto A

Loxodrómica

Punto B

Punto C

Posición punto B

Posición punto C

Conecta

Elige plano

Ortodrómica

M

Ortodrómicas

N

S

Velocidad de rotación

Zona horaria

UT + 4:30

UT + 1

UT + 1

UT + 1

UT + 1

UT - 4

UT - 4

UT - 4

UT + 3

UT + 1

UT - 3

UT + 4

UT - 4

UT + 10

UT + 1

UT + 3

UT + 6

UT - 4

UT + 3

UT + 1

UT - 6

UT + 1

UT - 4

UT + 2

UT - 4

UT + 1

UT + 2

UT - 3

UT + 2

UT

UT + 2

UT - 1

UT + 7

UT + 1

UT - 5

UT + 3

UT + 1

UT + 1

UT - 4

UT + 8

UT + 8

UT + 2

UT - 5

UT + 1

UT + 1

UT + 9

UT + 9

UT

UT - 6

UT + 1

UT - 5

UT + 1

UT - 4

UT - 4

UT - 5

UT + 1

UT - 6

UT + 4

UT + 3

UT + 1

UT + 1

UT + 1

UT - 5

UT + 2

UT + 3

UT + 8

UT + 2

UT + 12

UT + 1

UT + 1

UT

UT + 4

UT

UT + 1

UT - 4

UT + 2

UT - 3

UT + 10

UT - 6

UT - 3

UT

UT

UT - 3

UT - 5

UT - 6

UT + 1

UT + 5:30

UT + 8

UT + 3

UT + 3:30

UT

UT

UT + 7

UT + 11:30

UT

UT - 5

UT - 10

UT + 1

UT + 10

UT + 12

UT + 11

UT - 4

UT + 2

UT + 1

UT - 5

UT + 9

UT + 2

UT + 6

UT + 3

UT + 5

UT + 3

UT + 7

UT - 5

UT + 2

UT + 2

UT + 2

UT

UT + 2

UT + 1

UT + 2

UT + 1

UT + 1

UT + 3

UT + 8

UT + 2

UT + 5

UT

UT + 1

UT

UT

UT + 4

UT

UT - 6

UT + 2

UT + 1

UT + 8

UT + 2

UT + 1

UT + 5:45

UT - 6

UT + 1

UT + 1

UT + 1

UT + 11

UT + 12

UT + 4

UT+1

UT + 5

UT + 2

UT - 5

UT + 10

UT - 4

UT - 5

UT + 12

UT + 1

UT

UT - 4

UT

UT + 4

UT + 2

UT + 2

UT + 3

UT - 11

UT - 11

UT - 4

UT + 1

UT - 4

UT - 4

UT

UT

UT + 1

UT + 4

UT

UT + 8

UT + 2

UT + 3

UT + 5:30

UT + 2

UT + 2

UT + 2

UT + 1

UT+1

UT - 3

UT + 7

UT + 8

UT + 3

UT + 5

UT

UT + 13

UT - 4

UT + 1

UT + 5

UT + 2

UT + 2

UT + 3

UT - 3

UT + 5

UT + 11

UT - 4

UT + 7

UT + 3

UT + 4:30

UT + 1

Zona horaria

UT - 3

UT - 3

UT + 8

UT + 8

UT + 8

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT + 1

UT - 5

UT - 6

UT - 5

UT - 6

UT - 8

UT - 8

UT - 5

UT - 6

UT - 6

UT - 5

UT - 6

UT - 8

UT - 8

UT + 5:30

UT + 5:30

−

+

Escala

Paralelo

rot = -0.5235987755982988 rad (slider from -180° to 180°, step °)
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capitalesLista: B2:B204
capitalesNum = Length(capitalesLista)
capitalesElegidas1 = Sequence(If[Element[capitalesLista, k] > 0, k, 0], k, 1, capitalesNum)
capitalesElegidas2 = KeepIf(x > 0, capitalesElegidas1)
capitalesNumElegidas = Length(capitalesElegidas2)
capitalesLongitud: E2:E204
capitalesLatitud: D2:D204
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PN: (5; 180°; 90°)
eje = Segment(PS + (0.075 * PS), PN + (0.075 * PN))
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verEcuador = false
verOctantes = false
verGreenwich = false
menu = 2 (slider from 1 to 3, step 1)
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menuTexto: "" + (Element[menus, menu + 1]) + ""
verCorteza = true
verMeridianos: false
verParalelos = false
verCancer = false
verCapricornio = false
verArtico = false
verAntartico = false
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B209: 0
D209: -23.55
E209: -46.63
B210: 0
D210: 23.13
E210: 113.26
B211: 0
D211: 22.55
E211: 114.1
B212: 0
D212: 30.58
E212: 114.28
B213: 0
D213: 43.37
E213: -8.38000000000001
B214: 0
D214: 38.98
E214: -1.85
B215: 0
D215: 38.35
E215: -0.480000000000001
B216: 0
D216: 36.83
E216: -2.45
B217: 0
D217: 40.65
E217: -4.70000000000001
B218: 0
D218: 43.56
E218: -5.93000000000001
B219: 0
D219: 38.88
E219: -6.97000000000001
B220: 0
D220: 41.38
E220: 2.18
B221: 0
D221: 43.25
E221: -2.97
B222: 0
D222: 42.35
E222: -3.7
B223: 0
D223: 36.53
E223: -6.30000000000001
B224: 0
D224: 39.98
E224: -0.03
B225: 0
D225: 37.88
E225: -4.77
B226: 0
D226: 40.07
E226: -2.13
B227: 0
D227: 43.54
E227: -5.66000000000001
B228: 0
D228: 41.98
E228: 2.82
B229: 0
D229: 37.18
E229: -3.6
B230: 0
D230: 37.26
E230: -6.95000000000001
B231: 0
D231: 42.14
E231: -0.41
B232: 0
D232: 38.9
E232: 1.43
B233: 0
D233: 37.77
E233: -3.78
B234: 0
D234: 28.1
E234: -15.42
B235: 0
D235: 42.6
E235: -5.57000000000001
B236: 0
D236: 41.61
E236: 0.630000000000001
B237: 0
D237: 42.47
E237: -2.45
B238: 0
D238: 43
E238: -7.57000000000001
B239: 0
D239: 36.72
E239: -4.42
B240: 0
D240: 37.98
E240: -1.12
B241: 0
D241: 42.33
E241: -7.87000000000001
B242: 0
D242: 43.37
E242: -5.83000000000001
B243: 0
D243: 39.57
E243: 2.65
B244: 0
D244: 42.82
E244: -1.63
B245: 0
D245: 42.43
E245: -8.63000000000001
B246: 0
D246: 41.55
E246: 2.1
B247: 0
D247: 40.97
E247: -5.65000000000001
B248: 0
D248: 43.32
E248: -1.98
B249: 0
D249: 28.45
E249: -16.23
B250: 0
D250: 43.47
E250: -3.8
B251: 0
D251: 42.88
E251: -8.55000000000001
B252: 0
D252: 40.95
E252: -4.17
B253: 0
D253: 37.38
E253: -5.99000000000001
B254: 0
D254: 40.35
E254: -1.1
B255: 0
D255: 39.87
E255: -4.02
B256: 0
D256: 39.48
E256: -0.4
B257: 0
D257: 41.65
E257: -4.72
B258: 0
D258: 42.85
E258: -2.67
B259: 0
D259: 41.63
E259: -0.880000000000001
B260: 0
D260: 42.36
E260: -71.0600000000001
B261: 0
D261: 41.88
E261: -87.6300000000001
B262: 0
D262: 39.95
E262: -75.1700000000001
B263: 0
D263: 39.11
E263: -94.5900000000001
B264: 0
D264: 36.18
E264: -115.14
B265: 1
D265: 34.05
E265: -118.25
B266: 0
D266: 25.79
E266: -80.2200000000001
B267: 0
D267: 44.98
E267: -93.2700000000001
B268: 0
D268: 29.96
E268: -90.0700000000001
B269: 1
D269: 40.72
E269: -74
B270: 0
D270: 35.48
E270: -97.5400000000001
B271: 0
D271: 37.78
E271: -122.42
B272: 0
D272: 47.6
E272: -122.32
B273: 0
D273: 18.96
E273: 72.8300000000001
D274: 43.48818
E274: -6.11309
ciudadesLatitud: D208:D274
ciudadesLongitud: E208:E274
capitalesNombres: C2:C204
ciudadesNombres: C208:C274
ciudadesLista: B208:B274
ciudadesNum = Length(ciudadesLista)
ciudadesElegidas1 = Sequence(If[Element[ciudadesLista, k] > 0, k, 0], k, 1, ciudadesNum)
ciudadesElegidas2 = KeepIf(x > 0, ciudadesElegidas1)
capitales = Sequence((5; Element[capitalesLongitud, Element[capitalesElegidas2, k]]°; Element[capitalesLatitud, Element[capitalesElegidas2, k]]°), k, 1, capitalesNumElegidas)
ciudadesNumElegidas = Length(ciudadesElegidas2)
ciudades = Sequence((5; Element[ciudadesLongitud, Element[ciudadesElegidas2, k]]°; Element[ciudadesLatitud, Element[ciudadesElegidas2, k]]°), k, 1, ciudadesNumElegidas)
verCiudades = false
verCapital = true
verOtras = true
verEtiqueta = true
baseCapitales = Sequence((1.5 * Element[capitales, k]), k, 1, capitalesNumElegidas)
capitalesNombresVisibles = Sequence(Text[Element[capitalesNombres, Element[capitalesElegidas2, k]], Element[baseCapitales, k] + (0.03, 0.03, 0.03)], k, 1, capitalesNumElegidas)
baseCiudades = Sequence((1.5 * Element[ciudades, k]), k, 1, ciudadesNumElegidas)
ciudadesNombresVisibles = Sequence(Text[Element[ciudadesNombres, Element[ciudadesElegidas2, k]], Element[baseCiudades, k] + (0.03, 0.03, 0.03)], k, 1, ciudadesNumElegidas)
K144: 0
B274: 1
hora: Element[tiempo, 4] + Element[tiempo, 3] / 60 + Element[tiempo, 2] / 3600
dias = 189
latA = 0.8290313946973065 rad (slider from -90° to 90°, step 0.1°)
lonA = 0.7539822368615504 rad (slider from -180° to 180°, step 0.1°)
A: (5; lonA; latA)
verA = false
verPosiciónA = false
lox = 0.593411945678072 rad (slider from -90° to 90°, step °)
laserCapital = Sequence(Segment[(0, 0, 0), Element[baseCapitales, k]], k, 1, capitalesNumElegidas)
laserOtros = Sequence(Segment[(0, 0, 0), Element[baseCiudades, k]], k, 1, ciudadesNumElegidas)
loxAux: lonA + ((4 / 3 * tan(lox + 90°)) * tan((3 / 4 * latA)))
verLoxodrómica: false
verB = true
latB = 0.7853981633974483 rad (slider from -90° to 90°, step 0.1°)
verC = true
lonB = 1.0122909661567112 rad (slider from -180° to 180°, step °)
verPosiciónB = true
B: (5; lonB; latB)
laserA = Ray(A, (2 * A))
laserB = Ray(B, (2 * B))
latC = 0.30543261909900765 rad (slider from -90° to 90°, step 0.1°)
lonC = -0.19198621771937624 rad (slider from -180° to 180°, step °)
verPosiciónC = true
C: (5; lonC; latC)
conecta = true
eligePlano = true
verOrtodrómica = true
tierra = Sphere((0, 0, 0), (0.999 * 5))
ortodromiaAB = IntersectPath(Plane[(0, 0, 0), A, B], tierra)
arcoOrtodromiaAB = Arc(ortodromiaAB, A, B)
eje2 = Segment(PN, PS)
L = Point(eje2)
circuloLAB = IntersectPath(Plane[L, A, B], tierra)
D = Center(circuloLAB)
segmentoDA = Segment(A, D)
segmentoDB = Segment(D, B)
arcoCirculoLAB = Arc(circuloLAB, A, B)
verOrtodrómicas = true
laserC = Ray(C, (2 * C))
ortodromiaAC = IntersectPath(Plane[(0, 0, 0), A, C], tierra)
ortodromiaBC = IntersectPath(Plane[(0, 0, 0), B, C], tierra)
arcoOrtodromiaAC = Arc(ortodromiaAC, A, C)
arcoOrtodromiaBC = Arc(ortodromiaBC, B, C)
angAOB = Angle(A, (0, 0, 0), B)
angAOC = Angle(A, (0, 0, 0), C)
angBOC = Angle(B, (0, 0, 0), C)
texto1: "\widehat {AOB}\;=\; " + (LaTeX[angAOB]) + ""
texto2: "\widehat {AOC}\;=\; " + (LaTeX[angAOC]) + ""
texto3: "\widehat {BOC}\;=\; " + (LaTeX[angBOC]) + ""
anguloEcliptica: 23.44°
anguloPolar: 90° - anguloEcliptica
inclinacion = 0.17453292519943295 rad (slider from -90° to 90°, step °)
dir = Vector((1; (-rot) + 180°; (-inclinacion)))
velocidad = 0 (slider from 0 to 5, step 1)
A': (5; lonA; 0)
g = Ray((0, 0, 0), Midpoint[A, A'])
A'' = Intersect(g, tierra)
sectorLatitudA = CircumcircleSector(A, A'', A')
h = Ray((0, 0, 0), Midpoint[(5; 0; 0), A'])
A''' = Intersect(h, tierra)
sectorLongitudA = CircumcircleSector((5; 0; 0), A''', A')
ecuador2 = Circle((0, 0, 0), 5, eje)
loxodromia = CurveCartesian(((5 * cos(loxAux + (tan(lox + 90°) * log(tan(t / 2))))) * sin(t)), ((5 * sin(lonA + ((4 / 3 * tan(lox + 90°)) * tan((3 / 4 * latA))) + (tan(lox + 90°) * log(tan(t / 2))))) * sin(t)), (5 * cos(t)), t, 0, 6.28319)
antartico = Circle((5; 0; (-anguloPolar)), (5; 90°; (-anguloPolar)), (5; 180°; (-anguloPolar)))
artico = Circle((5; 0; anguloPolar), (5; 90°; anguloPolar), (5; 180°; anguloPolar))
cancer = Circle((5; 0; anguloEcliptica), (5; 90°; anguloEcliptica), (5; 180°; anguloEcliptica))
capricornio = Circle((5; 0; (-anguloEcliptica)), (5; 90°; (-anguloEcliptica)), (5; 180°; (-anguloEcliptica)))
ecuador = Circle((0, 0, 0), 5, eje)
greenwich = Circle(PN, (5; 0; 0), PS)
sectorOrtodromiaAB = CircleSector((0, 0, 0), A, B, xOyPlane)
meridianos = Sequence(Circle[PN, (5; (15° * k); 0), PS], k, 1, 11)
paralelosN = Sequence(Circle[(5; 0; (15° * k)), (5; 90°; (15° * k)), (5; 180°; (15° * k))], k, 1, 5)
paralelosS = Sequence(Circle[(5; 0; (-15° * k)), (5; 90°; (-15° * k)), (5; 180°; (-15° * k))], k, 1, 5)
Em135: ((1.0914 * (5 - (cos(rot - 285°) * 0.6))); -135°; -2°)
Em45: ((1.07 * (5 - (cos(rot - 195°) * 0.4))); -45°; -2°)
Em90: ((1.07 * (5 - (cos(rot - 240°) * 0.4))); -90°; -2°)
Ep0: ((1.07 * (5 - (cos(rot - 150°) * 0.2))); 0; -2°)
Ep135: ((1.08 * (5 - (cos(rot - 15°) * 0.6))); 135°; -2°)
Ep180: ((1.08 * (5 - (cos(rot + 30°) * 0.6))); 180°; -2°)
Ep45: ((1.07 * (5 - (cos(rot - 105°) * 0.4))); 45°; -2°)
Ep90: ((1.07 * (5 - (cos(rot - 60°) * 0.4))); 90°; -2°)
segmentoOA = Segment((0, 0, 0), A)
segmentoOB = Segment((0, 0, 0), B)
escala = 0.9999999999999998
texto6: "" + (round((10 * escala)) / 10) + ""
radio = Segment((0, 0, 0), (5; 0; 0))
planoA = OrthogonalPlane(A, zAxis)
paraleloA = IntersectPath(planoA, tierra)
verParaleloA = false
esfera = Sphere((0, 0, 0), 5)