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110-681: The Machángara River is a river located in the southern Andes of Ecuador . In the city of Cuenca it merges with the Tomebamba River forming the Matadero River in the basin of the Amazon River . 2°52′55″S 78°58′01″W  /  2.88204°S 78.96696°W  / -2.88204; -78.96696 This article related to a river in Ecuador is a stub . You can help Misplaced Pages by expanding it . Ecuador Ecuador , officially

220-473: A 2008 referendum , a new constitution implemented leftist reforms. In December 2008, Correa declared Ecuador's national debt illegitimate, based on the argument that it was odious debt contracted by prior corrupt and despotic regimes. He announced that the country would default on over $ 3 billion worth of bonds, and he succeeded in reducing the price of outstanding bonds by more than 60% by fighting creditors in international courts . He brought Ecuador into

330-481: A geographic coordinate system as defined in the specification of the ISO 19111 standard. Since there are many different reference ellipsoids , the precise latitude of a feature on the surface is not unique: this is stressed in the ISO standard which states that "without the full specification of the coordinate reference system, coordinates (that is latitude and longitude) are ambiguous at best and meaningless at worst". This

440-560: A 300-by-300-pixel sphere, so illustrations usually exaggerate the flattening. The graticule on the ellipsoid is constructed in exactly the same way as on the sphere. The normal at a point on the surface of an ellipsoid does not pass through the centre, except for points on the equator or at the poles, but the definition of latitude remains unchanged as the angle between the normal and the equatorial plane. The terminology for latitude must be made more precise by distinguishing: Geographic latitude must be used with care, as some authors use it as

550-501: A Plan to return to the constitutional system through universal elections. This plan enabled the new democratically elected president to assume the duties of the executive office. Elections were held on 29 April 1979, under a new constitution. Jaime Roldós Aguilera was elected president, garnering over one million votes, the most in Ecuadorian history. He took office on 10 August as the first constitutionally elected president, after nearly

660-652: A brief war erupted between Colombia and Peru, over Peru's claims to the Caquetá region, which ended with Peru reluctantly signing the Salomon-Lozano Treaty on 24 March 1922. Ecuador protested this secret treaty, since Colombia gave away Ecuadorian claimed land to Peru that Ecuador had given to Colombia in 1916. On 21 July 1924, the Ponce-Castro Oyanguren Protocol was signed between Ecuador and Peru where both agreed to hold direct negotiations and to resolve

770-524: A decade of civilian and military dictatorships. In 1980, he founded the Partido Pueblo, Cambio y Democracia (People, Change, and Democracy Party) after withdrawing from the Concentración de Fuerzas Populares (Popular Forces Concentration). He governed until 24 May 1981, when he died, along with his wife and the minister of defense Marco Subia Martinez , when his Air Force plane crashed in heavy rain near

880-573: A division of the former territory of the Royal Audience of Quito . Quito, which remained the capital of the department and republic, is located only about 40 kilometers (25 mi), 1 ⁄ 4 of a degree , south of the equator. Various peoples had settled in the area of future Ecuador before the arrival of the Incas . The archeological evidence suggests that the Paleo-Indians ' first dispersal into

990-535: A series of peaceful treaties, and Peru after a short war in which the Protocol of Rio de Janeiro was signed in 1942. During the struggle for independence , before Peru or Ecuador became independent, areas of the former Vice Royalty of New Granada declared themselves independent from Spain. A few months later, a part of the Peruvian liberation army of San Martín decided to occupy the independent cities of Tumbez and Jaén, with

1100-512: A small band of Spaniards headed by Francisco Pizarro reached Cajamarca and lured Atahualpa into a trap ( battle of Cajamarca ). Pizarro promised to release Atahualpa if he made good his promise of filling a room full of gold. But, after a mock trial, the Spaniards executed Atahualpa by strangulation. New infectious diseases such as smallpox , endemic to the Europeans, caused high fatalities among

1210-491: A survey but, with the advent of GPS , it has become natural to use reference ellipsoids (such as WGS84 ) with centre at the centre of mass of the Earth and minor axis aligned to the rotation axis of the Earth. These geocentric ellipsoids are usually within 100 m (330 ft) of the geoid. Since latitude is defined with respect to an ellipsoid, the position of a given point is different on each ellipsoid: one cannot exactly specify

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1320-549: A synonym for geodetic latitude whilst others use it as an alternative to the astronomical latitude . "Latitude" (unqualified) should normally refer to the geodetic latitude. The importance of specifying the reference datum may be illustrated by a simple example. On the reference ellipsoid for WGS84, the centre of the Eiffel Tower has a geodetic latitude of 48° 51′ 29″ N, or 48.8583° N and longitude of 2° 17′ 40″ E or 2.2944°E. The same coordinates on

1430-600: A variety of indigenous peoples that were gradually incorporated into the Inca Empire during the 15th century. The territory was colonized by Spanish Empire during the 16th century, achieving independence in 1820 as part of Gran Colombia , from which it emerged as a sovereign state in 1830. The legacy of both empires is reflected in Ecuador's ethnically diverse population, with most of its 17.8 million people being mestizos , followed by large minorities of Europeans , Native American , African , and Asian descendants. Spanish

1540-411: Is also used in the current literature. The parametric latitude is related to the geodetic latitude by: The alternative name arises from the parameterization of the equation of the ellipse describing a meridian section. In terms of Cartesian coordinates p , the distance from the minor axis, and z , the distance above the equatorial plane, the equation of the ellipse is: The Cartesian coordinates of

1650-535: Is based on its leading role in trying to secure an independent, local government. Although the new government lasted no more than two months, it had important repercussions and was an inspiration for the independence movement of the rest of Spanish America. Today, 10 August is celebrated as Independence Day, a national holiday . On 9 October 1820, the Department of Guayaquil became the first territory in Ecuador to gain its independence from Spain, and it spawned most of

1760-484: Is determined by the shape of the ellipse which is rotated about its minor (shorter) axis. Two parameters are required. One is invariably the equatorial radius, which is the semi-major axis , a . The other parameter is usually (1) the polar radius or semi-minor axis , b ; or (2) the (first) flattening , f ; or (3) the eccentricity , e . These parameters are not independent: they are related by Many other parameters (see ellipse , ellipsoid ) appear in

1870-453: Is determined with the meridian altitude method. More precise measurement of latitude requires an understanding of the gravitational field of the Earth, either to set up theodolites or to determine GPS satellite orbits. The study of the figure of the Earth together with its gravitational field is the science of geodesy . The graticule is formed by the lines of constant latitude and constant longitude, which are constructed with reference to

1980-462: Is of great importance in accurate applications, such as a Global Positioning System (GPS), but in common usage, where high accuracy is not required, the reference ellipsoid is not usually stated. In English texts, the latitude angle, defined below, is usually denoted by the Greek lower-case letter phi ( ϕ or φ ). It is measured in degrees , minutes and seconds or decimal degrees , north or south of

2090-451: Is the angle between the equatorial plane and the normal to the surface at that point: the normal to the surface of the sphere is along the radial vector. The latitude, as defined in this way for the sphere, is often termed the spherical latitude, to avoid ambiguity with the geodetic latitude and the auxiliary latitudes defined in subsequent sections of this article. Besides the equator, four other parallels are of significance: The plane of

2200-421: Is the meridional radius of curvature . The quarter meridian distance from the equator to the pole is For WGS84 this distance is 10 001 .965 729  km . The evaluation of the meridian distance integral is central to many studies in geodesy and map projection. It can be evaluated by expanding the integral by the binomial series and integrating term by term: see Meridian arc for details. The length of

2310-525: Is the official language spoken by a majority of the population, although 13 native languages are also recognized, including Quechua and Shuar . Ecuador is a representative democratic presidential republic and a developing country whose economy is highly dependent on exports of commodities, primarily petroleum and agricultural products. The country is a founding member of the United Nations , Organization of American States , Mercosur , PROSUR , and

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2420-505: The Philosophiæ Naturalis Principia Mathematica , in which he proved that a rotating self-gravitating fluid body in equilibrium takes the form of an oblate ellipsoid. (This article uses the term ellipsoid in preference to the older term spheroid .) Newton's result was confirmed by geodetic measurements in the 18th century. (See Meridian arc .) An oblate ellipsoid is the three-dimensional surface generated by

2530-567: The 20 km walk . Ecuador adopted the United States dollar on 13 April 2000 as its national currency and on 11 September, the country eliminated the Ecuadorian sucre , in order to stabilize the country's economy . The US Dollar has been the only official currency of Ecuador since then. The emergence of the Amerindian population as an active constituency has added to the democratic volatility of

2640-559: The Axis Powers in World War II favoring Peru with the territory they occupied at the time the war came to an end. The 1944 Glorious May Revolution followed a military-civilian rebellion and a subsequent civic strike which successfully removed Carlos Arroyo del Río as a dictator from Ecuador's government. However, a post-Second World War recession and popular unrest led to a return to populist politics and domestic military interventions in

2750-641: The Bolivarian Alliance for the Americas in June 2009. Correa's administration reduced the high levels of poverty and unemployment in Ecuador. Correa's three consecutive terms (from 2007 to 2017) were followed by his former Vice President Lenín Moreno 's four years as president (2017–21). After being elected in 2017, President Moreno's government adopted economically liberal policies, such as reduction of public spending , trade liberalization , and flexibility of

2860-627: The Galapagos Islands . The 19th century was marked by instability for Ecuador with a rapid succession of rulers. The first president of Ecuador was the Venezuelan-born Juan José Flores , who was ultimately deposed. Leaders who followed him included Vicente Rocafuerte ; José Joaquín de Olmedo ; José María Urbina ; Diego Noboa ; Pedro José de Arteta ; Manuel de Ascásubi ; and Flores's own son, Antonio Flores Jijón , among others. The conservative Gabriel García Moreno unified

2970-584: The Galápagos Islands . In recognition of its unique ecological heritage, the new constitution of 2008 is the first in the world to recognize legally enforceable rights of nature . The country's name means " Equator " in Spanish, truncated from the Spanish official name, República del Ecuador ( lit. "Republic of the Equator"), derived from the former Ecuador Department of Gran Colombia established in 1824 as

3080-521: The Inca Empire in 1463 sharing the same language. In contrast, when the Incas made incursions into coastal Ecuador and the eastern Amazon jungles of Ecuador, they found both the environment and indigenous people more hostile. Moreover, when the Incas tried to subdue them, these indigenous people withdrew to the interior and resorted to guerrilla tactics. As a result, Inca expansion into the Amazon Basin and

3190-579: The Non-Aligned Movement . According to the Center for Economic and Policy Research , between 2006 and 2016, poverty decreased from 36.7% to 22.5% and annual per capita GDP growth was 1.5 percent (as compared to 0.6 percent over the prior two decades). At the same time, the country's Gini index of economic inequality improved from 0.55 to 0.47. One of 17 megadiverse countries in the world, Ecuador hosts many endemic plants and animals, such as those of

3300-579: The Republic of Ecuador , is a country in northwestern South America , bordered by Colombia on the north, Peru on the east and south, and the Pacific Ocean on the west. It also includes the Galápagos Islands in the Pacific, about 1,000 kilometers (621 mi) west of the mainland. The country's capital is Quito and its largest city is Guayaquil . The territories of modern-day Ecuador were once home to

3410-724: The Spanish Empire and the Portuguese Empire . Moreover, to add legitimacy to his claims, on 16 February 1840, Flores signed a treaty with Spain, whereby Flores convinced Spain to officially recognize Ecuadorian independence and its sole rights to colonial titles over Spain's former colonial territory known anciently to Spain as the Kingdom and Presidency of Quito. Ecuador during its long and turbulent history has lost most of its contested territories to each of its more powerful neighbors, such as Colombia in 1832 and 1916, Brazil in 1904 through

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3520-687: The Treaty of Guayaquil (1829) which Peru reluctantly signed, after the overwhelmingly outnumbered Gran Colombian force led by Antonio José de Sucre defeated President and General La Mar's Peruvian invasion force in the Battle of Tarqui . In addition, Ecuador's eastern border with the Portuguese colony of Brazil in the Amazon Basin was modified before the Wars of Independence by the First Treaty of San Ildefonso (1777) between

3630-433: The geoid , a surface which approximates the mean sea level over the oceans and its continuation under the land masses. The second step is to approximate the geoid by a mathematically simpler reference surface. The simplest choice for the reference surface is a sphere , but the geoid is more accurately modeled by an ellipsoid of revolution . The definitions of latitude and longitude on such reference surfaces are detailed in

3740-571: The zenith ). On map projections there is no universal rule as to how meridians and parallels should appear. The examples below show the named parallels (as red lines) on the commonly used Mercator projection and the Transverse Mercator projection . On the former the parallels are horizontal and the meridians are vertical, whereas on the latter there is no exact relationship of parallels and meridians with horizontal and vertical: both are complicated curves. \ In 1687 Isaac Newton published

3850-575: The 1960s, while foreign companies developed oil resources in the Ecuadorian Amazon. In 1972, construction of the Andean pipeline was completed. The pipeline brought oil from the east side of the Andes to the coast, making Ecuador South America's second largest oil exporter. In 1978, the city of Quito and the Galápagos Islands were inscribed as UNESCO World Heritage Sites , making the first two properties in

3960-514: The Americas occurred near the end of the last glacial period , around 16,500–13,000 years ago. The first people who reached Ecuador may have journeyed by land from North and Central America or by boat down the Pacific Ocean coastline. Even though their languages were unrelated, these groups developed similar groups of cultures, each based in different environments. The people of the coast combined agriculture with fishing, hunting, and gathering;

4070-487: The Amerindian population during the first decades of Spanish rule, as they had no immunity . At the same time, the natives were forced into the encomienda labor system for the Spanish. In 1563, Quito became the seat of a real audiencia (administrative district) of Spain and part of the Viceroyalty of Peru and later the Viceroyalty of New Granada . The 1797 Riobamba earthquake , which caused up to 40,000 casualties,

4180-612: The Caqueta river and the Marañon-Amazon river. Peru ignored these protests and created the Department of Loreto in 1853 with its capital in Iquitos. Peru briefly occupied Guayaquil again in 1860, since Peru thought that Ecuador was selling some of the disputed land for development to British bond holders, but returned Guayaquil after a few months. The border dispute was then submitted to Spain for arbitration from 1880 to 1910, but to no avail. In

4290-614: The Caquetá river. Later, Ecuador contended that the Republic of Colombia, while reorganizing its government, unlawfully made its eastern border provisional and that Colombia extended its claims south to the Napo River because it said that the Government of Popayán extended its control all the way to the Napo River. When Ecuador seceded from the Gran Colombia, Peru contested Ecuador's claims with

4400-537: The Cedula of 1802 an ecclesiastical instrument, which had nothing to do with political borders. Peru began its de facto occupation of disputed Amazonian territories, after it signed a secret 1851 peace treaty in favor of Brazil. This treaty disregarded Spanish rights that were confirmed during colonial times by a Spanish-Portuguese treaty over the Amazon regarding territories held by illegal Portuguese settlers. Peru began occupying

4510-814: The Colombian government's representatives an agreement was reached and the Muñoz Vernaza-Suarez Treaty was signed 15 July 1916, in which Colombian rights to the Putumayo river were recognized as well as Ecuador's rights to the Napo river and the new border was a line that ran midpoint between those two rivers. In this way, Ecuador gave up the claims it had to the Amazonian territories between the Caquetá River and Napo River to Colombia, thus cutting itself off from Brazil. Later,

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4620-629: The District of the South as far back as April 1830. Moreover, the Cauca region, throughout its long history, had very strong economic and cultural ties with the people of Ecuador. Also, the Cauca region, which included such cities as Pasto , Popayán , and Buenaventura , had always been dependent on the Presidencia or Audiencia of Quito. Fruitless negotiations continued between the governments of Bogotá and Quito, where

4730-447: The Earth's orbit about the Sun is called the ecliptic , and the plane perpendicular to the rotation axis of the Earth is the equatorial plane. The angle between the ecliptic and the equatorial plane is called variously the axial tilt, the obliquity, or the inclination of the ecliptic, and it is conventionally denoted by i . The latitude of the tropical circles is equal to i and the latitude of

4840-568: The Ecuadorian border troops. Finally, on 23 July 1941, the Peruvians launched a major invasion, crossing the Zarumilla river in force and advancing into the Ecuadorian province of El Oro . During the course of the Ecuadorian–Peruvian War , Peru gained control over part of the disputed territory and some parts of the province of El Oro, and some parts of the province of Loja , demanding that

4950-642: The Ecuadorian coastal provinces, establishing itself as an independent state. Its inhabitants celebrated what is now Ecuador's official Independence Day on 24 May 1822. The rest of Ecuador gained its independence after Antonio José de Sucre defeated the Spanish Royalist forces at the Battle of Pichincha , near Quito . Following the battle, Ecuador joined Simón Bolívar 's Republic of Gran Colombia , also including modern-day Colombia , Venezuela , and Panama . In 1830, Ecuador separated from Gran Colombia and became an independent republic. Two years later, it annexed

5060-587: The Ecuadorian government give up its territorial claims. The Peruvian Navy blocked the port of Guayaquil , almost cutting all supplies to the Ecuadorian troops. After a few weeks of war and under pressure by the United States and several Latin American nations, all fighting came to a stop. Ecuador and Peru came to an accord formalized in the Rio Protocol , signed on 29 January 1942, in favor of hemispheric unity against

5170-484: The Ecuadorian military shot down Peruvian aircraft and helicopters and Peruvian infantry marched into southern Ecuador. Each country blamed the other for the onset of hostilities, known as the Cenepa War . Sixto Durán Ballén , the Ecuadorian president, famously declared that he would not give up a single centimeter of Ecuador. Popular sentiment in Ecuador became strongly nationalistic against Peru: graffiti could be seen on

5280-541: The Gran Colombian federation on 13 May 1830. After Ecuador's separation, the Department of Cauca voluntarily decided to unite itself with Ecuador due to instability in the central government of Bogota. The Venezuelan born President of Ecuador, the general Juan José Flores , with the approval of the Ecuadorian congress annexed the Department of Cauca on 20 December 1830, since the government of Cauca had called for union with

5390-419: The Incas two generations of rulers— Topa Inca Yupanqui and Huayna Capac —to absorb them into the Inca Empire . People belonging to the confederations that gave them the most problems were deported to distant areas of Peru, Bolivia, and north Argentina. Similarly, a number of loyal Inca subjects from Peru and Bolivia were brought to Ecuador to prevent rebellion. Thus, the region of highland Ecuador became part of

5500-672: The Pacific Ocean known as Tumbes . In Ecuador's southern Andes Mountain region where the Marañon cuts across, Ecuador had claims to an area it called Jaén de Bracamoros . These areas were included as part of the territory of Gran Colombia by Bolivar on 17 December 1819, during the Congress of Angostura when the Republic of Gran Colombia was created. Tumbes declared itself independent from Spain on 17 January 1821, and Jaén de Bracamoros on 17 June 1821, without any outside help from revolutionary armies. However, that same year, Peruvian forces participating in

5610-449: The Pacific coast of Ecuador was hampered. The indigenous people of the Amazon jungle and coastal Ecuador remained relatively autonomous until the Spanish soldiers and missionaries arrived in force. The Amazonian people and the Cayapas of Coastal Ecuador were the only groups to resist both Inca and Spanish domination, maintaining their languages and cultures well into the 21st century. Before

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5720-473: The Peruvian border. Many people believe that he was assassinated by the CIA, given the multiple death threats against him because of his reformist agenda, the deaths in automobile crashes of two key witnesses before they could testify during the investigation, and the sometimes contradictory accounts of the incident. Roldos was immediately succeeded by Vice President Osvaldo Hurtado. In 1984, León Febres Cordero from

5830-454: The Putomayo and Marañon Rivers. In July 1941, troops were mobilized in both countries. Peru had an army of 11,681 troops who faced a poorly supplied and inadequately armed Ecuadorian force of 2,300, of which only 1,300 were deployed in the southern provinces. Hostilities erupted on 5 July 1941, when Peruvian forces crossed the Zarumilla river at several locations, testing the strength and resolve of

5940-665: The Social Christian Party was elected president. Rodrigo Borja Cevallos of the Democratic Left (Izquierda Democrática, or ID) party won the presidency in 1988, winning the runoff election against Abdalá Bucaram (brother in law of Jaime Roldos and founder of the Ecuadorian Roldosist Party). His government was committed to improving human rights protection and carried out some reforms, notably an opening of Ecuador to foreign trade. The Borja government negotiated

6050-617: The Sun is overhead at some point of the Tropic of Capricorn . The south polar latitudes below the Antarctic Circle are in daylight, whilst the north polar latitudes above the Arctic Circle are in night. The situation is reversed at the June solstice, when the Sun is overhead at the Tropic of Cancer. Only at latitudes in between the two tropics is it possible for the Sun to be directly overhead (at

6160-450: The Trujillo revolution occupied both Jaén and Tumbes. Peruvian generals, without any legal titles backing them up and with Ecuador still federated with the Gran Colombia, had the desire to annex Ecuador to the Republic of Peru at the expense of the Gran Colombia, feeling that Ecuador was once part of the Inca Empire. On 28 July 1821, Peruvian independence was proclaimed in Lima by San Martín, and Tumbes and Jaén, which were included as part of

6270-437: The United States of America) ruled that the border of the undelineated zone was to be set at the line of the Cordillera del Cóndor . While Ecuador had to give up its decades-old territorial claims to the eastern slopes of the Cordillera, as well as to the entire western area of Cenepa headwaters, Peru was compelled to give to Ecuador, in perpetual lease but without sovereignty, 1 km (0.39 sq mi) of its territory, in

6380-519: The WGS84 spheroid is The variation of this distance with latitude (on WGS84 ) is shown in the table along with the length of a degree of longitude (east–west distance): A calculator for any latitude is provided by the U.S. Government's National Geospatial-Intelligence Agency (NGA). The following graph illustrates the variation of both a degree of latitude and a degree of longitude with latitude. There are six auxiliary latitudes that have applications to special problems in geodesy, geophysics and

6490-399: The Zarumilla River, war broke out with Peru. Peru claimed that Ecuador's military presence in Peruvian-claimed territory was an invasion; Ecuador, for its part, claimed that Peru had recently invaded Ecuador around the Zarumilla River and that Peru since Ecuador's independence from Spain has systematically occupied Tumbez, Jaén, and most of the disputed territories in the Amazonian Basin between

6600-425: The angle subtended at the centre by the meridian arc from the equator to the point concerned. If the meridian distance is denoted by m ( ϕ ) then where R denotes the mean radius of the Earth. R is equal to 6,371 km or 3,959 miles. No higher accuracy is appropriate for R since higher-precision results necessitate an ellipsoid model. With this value for R the meridian length of 1 degree of latitude on

6710-422: The area where the Ecuadorian base of Tiwinza – focal point of the war – had been located within Peruvian soil and which the Ecuadorian Army held during the conflict. The final border demarcation came into effect on 13 May 1999, and the multi-national MOMEP (Military Observer Mission for Ecuador and Peru) troop deployment withdrew on 17 June 1999. In 1972, a "revolutionary and nationalist" military junta overthrew

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6820-416: The arrival of the Spaniards, the Inca Empire was involved in a civil war . The untimely death of both the heir Ninan Cuyochi and the Emperor Huayna Capac, from a European disease that spread into Ecuador, created a power vacuum between two factions and led to a civil war. The army stationed north headed by Atahualpa marched south to Cuzco and massacred the royal family associated with his brother. In 1532,

6930-468: The centre of the Earth and perpendicular to the rotation axis intersects the surface at a great circle called the Equator . Planes parallel to the equatorial plane intersect the surface in circles of constant latitude; these are the parallels. The Equator has a latitude of 0°, the North Pole has a latitude of 90° North (written 90° N or +90°), and the South Pole has a latitude of 90° South (written 90° S or −90°). The latitude of an arbitrary point

7040-410: The country in recent years. The population has been motivated by government failures to deliver on promises of land reform, lower unemployment and provision of social services, and the historical exploitation by the land-holding elite. Their movement, along with the continuing destabilizing efforts by both the elite and leftist movements, has led to a deterioration of the executive office. The populace and

7150-435: The country in the 1860s with the support of the Roman Catholic Church. In the late 19th century, world demand for cocoa tied the economy to commodity exports and led to migrations from the highlands to the agricultural frontier on the coast. Ecuador abolished slavery in 1851. The descendants of enslaved Ecuadorians are among today's Afro-Ecuadorian population. The Liberal Revolution of 1895 under Eloy Alfaro reduced

7260-408: The datum ED50 define a point on the ground which is 140 metres (460 feet) distant from the tower. A web search may produce several different values for the latitude of the tower; the reference ellipsoid is rarely specified. The length of a degree of latitude depends on the figure of the Earth assumed. On the sphere the normal passes through the centre and the latitude ( ϕ ) is therefore equal to

7370-459: The disbanding of the small terrorist group, " ¡Alfaro Vive, Carajo! " ("Alfaro Lives, Dammit!"), named after Eloy Alfaro . However, continuing economic problems undermined the popularity of the ID party, and opposition parties gained control of Congress in 1999. A notable event was the Cenepa War fought between Ecuador and Peru in 1995. Ecuador won its first Olympic medal in the 1996 Summer Olympics in Atlanta when Jefferson Pérez won gold in

7480-469: The dispute in an equitable manner and to submit the differing points of the dispute to the United States for arbitration. Negotiations between the Ecuadorian and Peruvian representatives began in Washington on 30 September 1935. The negotiations turned into arguments during the next 7 months and finally on 29 September 1937, the Peruvian representatives decided to break off the negotiations. In 1941, amid fast-growing tensions within disputed territories around

7590-412: The early part of the 20th century, Ecuador made an effort to peacefully define its eastern Amazonian borders with its neighbours through negotiation. On 6 May 1904, Ecuador signed the Tobar-Rio Branco Treaty recognizing Brazil's claims to the Amazon in recognition of Ecuador's claim to be an Amazonian country to counter Peru's earlier Treaty with Brazil back on 23 October 1851. Then after a few meetings with

7700-402: The ellipsoid to that point Q on the surrounding sphere (of radius a ) which is the projection parallel to the Earth's axis of a point P on the ellipsoid at latitude ϕ . It was introduced by Legendre and Bessel who solved problems for geodesics on the ellipsoid by transforming them to an equivalent problem for spherical geodesics by using this smaller latitude. Bessel's notation, u ( ϕ ) ,

7810-414: The equator. For navigational purposes positions are given in degrees and decimal minutes. For instance, The Needles lighthouse is at 50°39.734′ N 001°35.500′ W. This article relates to coordinate systems for the Earth: it may be adapted to cover the Moon, planets and other celestial objects ( planetographic latitude ). For a brief history, see History of latitude . In celestial navigation , latitude

7920-438: The following sections. Lines of constant latitude and longitude together constitute a graticule on the reference surface. The latitude of a point on the actual surface is that of the corresponding point on the reference surface, the correspondence being along the normal to the reference surface, which passes through the point on the physical surface. Latitude and longitude together with some specification of height constitute

8030-399: The geocentric latitude ( θ ) and the geodetic latitude ( ϕ ) is: For points not on the surface of the ellipsoid, the relationship involves additionally the ellipsoidal height h : where N is the prime vertical radius of curvature. The geodetic and geocentric latitudes are equal at the equator and at the poles but at other latitudes they differ by a few minutes of arc. Taking the value of

8140-680: The government of Bogotá did not recognize the separation of Ecuador or that of Cauca from the Gran Colombia until war broke out in May 1832. In five months, New Granada defeated Ecuador due to the fact that the majority of the Ecuadorian Armed Forces were composed of rebellious angry unpaid veterans from Venezuela and Colombia that did not want to fight against their fellow countrymen. Seeing that his officers were rebelling, mutinying, and changing sides, President Flores had no option but to reluctantly make peace with New Granada. The Treaty of Pasto of 1832

8250-710: The government of Velasco Ibarra. The coup d'état was led by General Guillermo Rodríguez and executed by navy commander Jorge Queirolo G. The new president exiled José María Velasco to Argentina. He remained in power until 1976, when he was removed by another military government. That military junta was led by Admiral Alfredo Poveda , who was declared chairman of the Supreme Council. The Supreme Council included two other members: General Guillermo Durán Arcentales and General Luis Pintado. The civil society more and more insistently called for democratic elections. Colonel Richelieu Levoyer , Government Minister, proposed and implemented

8360-425: The government restored fuel subsidies and withdrew an austerity package, which ended nearly two weeks of protests. In the 11 April 2021 election , conservative former banker Guillermo Lasso took 52.4% of the vote, compared to 47.6% for left-wing economist Andrés Aráuz , who was supported by exiled former president Correa. Lasso had finished second in the 2013 and 2017 presidential elections. On 24 May 2021, Lasso

8470-564: The government waived the right to tax increases in raw material prices and foreign exchange repatriations. In October 2018, Moreno cut diplomatic relations with the Maduro administration of Venezuela, a close ally of Correa. The relations with the United States improved significantly under Moreno. In June 2019, Ecuador agreed to allow US military planes to operate from an airport on the Galapagos Islands. In February 2020, his visit to Washington

8580-410: The highland Andes mountains, where life was more sedentary, groups of tribes cooperated and formed villages; thus the first nations based on agricultural resources and the domestication of animals formed. Eventually, through wars and marriage alliances of their leaders , groups of nations formed confederations. When the Incas arrived, they found that these confederations were so developed that it took

8690-555: The intention of using them as springboards to occupy the independent city of Guayaquil and then liberate the rest of the Audiencia de Quito (Ecuador). It was common knowledge among officers of the liberation army from the south that their leader San Martín wished to liberate present-day Ecuador and add it to the future republic of Peru, since it had been part of the Inca Empire before the Spaniards conquered it. However, Bolívar 's intention

8800-480: The labour code. Ecuador also left the left-wing Bolivarian Alliance for the Americas (Alba) in August 2018. The Productive Development Act introduced an austerity policy, and reduced the previous development and redistribution policies. Regarding taxes, the authorities aimed to "encourage the return of investors" by granting amnesty to fraudsters and proposing measures to reduce tax rates for large companies . In addition,

8910-451: The latitude and longitude of a geographical feature without specifying the ellipsoid used. Many maps maintained by national agencies are based on older ellipsoids, so one must know how the latitude and longitude values are transformed from one ellipsoid to another. GPS handsets include software to carry out datum transformations which link WGS84 to the local reference ellipsoid with its associated grid. The shape of an ellipsoid of revolution

9020-538: The meridian arc between two given latitudes is given by replacing the limits of the integral by the latitudes concerned. The length of a small meridian arc is given by When the latitude difference is 1 degree, corresponding to ⁠ π / 180 ⁠ radians, the arc distance is about The distance in metres (correct to 0.01 metre) between latitudes ϕ {\displaystyle \phi }  − 0.5 degrees and ϕ {\displaystyle \phi }  + 0.5 degrees on

9130-572: The missionary villages in the Mainas or Maynas region, which it began calling Loreto, with its capital in Iquitos . During its negotiations with Brazil, Peru claimed Amazonian Basin territories up to Caqueta River in the north and toward the Andes Mountain range. Colombia protested stating that its claims extended south toward the Napo and Amazon Rivers. Ecuador protested that it claimed the Amazon Basin between

9240-531: The newly discovered Real Cedula of 1802, by which Peru claims the King of Spain had transferred these lands from the Viceroyalty of New Granada to the Viceroyalty of Peru. During colonial times this was to halt the ever-expanding Portuguese settlements into Spanish domains, which were left vacant and in disorder after the expulsion of Jesuit missionaries from their bases along the Amazon Basin. Ecuador countered by labeling

9350-549: The other branches of government give the president very little political capital, as illustrated by the most recent removal of President Lucio Gutiérrez from office by Congress in April 2005. Vice President Alfredo Palacio took his place In the election of 2006 , Rafael Correa gained the presidency. In January 2007, several left-wing political leaders of Latin America, his future allies, attended his swearing-in ceremony. Endorsed in

9460-573: The people of the highland Andes developed a sedentary agricultural way of life; and peoples of the Amazon basin relied on hunting and gathering; in some cases, this is combined with agriculture and arboriculture . Many civilizations arose in Ecuador, such as the Valdivia Culture and Machalilla Culture on the coast, the Quitus (near present-day Quito), and the Cañari (near present-day Cuenca ). In

9570-458: The polar circles is its complement (90° - i ). The axis of rotation varies slowly over time and the values given here are those for the current epoch . The time variation is discussed more fully in the article on axial tilt . The figure shows the geometry of a cross-section of the plane perpendicular to the ecliptic and through the centres of the Earth and the Sun at the December solstice when

9680-433: The power of the clergy and the conservative land owners. This liberal wing retained power until the military "Julian Revolution" of 1925. The 1930s and 1940s were marked by instability and emergence of populist politicians, such as five-time President José María Velasco Ibarra . Brasilia Presidential Act After Ecuador's separation from Colombia on 13 May 1830, its first President, General Juan José Flores , laid claim to

9790-503: The reference ellipsoid to the plane or in calculations of geodesics on the ellipsoid. Their numerical values are not of interest. For example, no one would need to calculate the authalic latitude of the Eiffel Tower. The expressions below give the auxiliary latitudes in terms of the geodetic latitude, the semi-major axis, a , and the eccentricity, e . (For inverses see below .) The forms given are, apart from notational variants, those in

9900-417: The revolution of Trujillo by the Peruvian occupying force, had the whole region swear allegiance to the new Peruvian flag and incorporated itself into Peru. Gran Colombia had always protested Peru for the return of Jaén and Tumbes for almost a decade, then finally Bolivar after long and futile discussion over the return of Jaén, Tumbes, and part of Mainas, declared war. President and General José de La Mar , who

10010-466: The rotation axis of the Earth. The primary reference points are the poles where the axis of rotation of the Earth intersects the reference surface. Planes which contain the rotation axis intersect the surface at the meridians ; and the angle between any one meridian plane and that through Greenwich (the Prime Meridian ) defines the longitude: meridians are lines of constant longitude. The plane through

10120-417: The rotation of an ellipse about its shorter axis (minor axis). "Oblate ellipsoid of revolution" is abbreviated to 'ellipsoid' in the remainder of this article. (Ellipsoids which do not have an axis of symmetry are termed triaxial .) Many different reference ellipsoids have been used in the history of geodesy . In pre-satellite days they were devised to give a good fit to the geoid over the limited area of

10230-515: The semi-major axis and the inverse flattening, ⁠ 1 / f ⁠ . For example, the defining values for the WGS84 ellipsoid, used by all GPS devices, are from which are derived The difference between the semi-major and semi-minor axes is about 21 km (13 miles) and as fraction of the semi-major axis it equals the flattening; on a computer monitor the ellipsoid could be sized as 300 by 299 pixels. This would barely be distinguishable from

10340-703: The signing of the Treaty of Guayaquil in September 1829, whereby Peru and its Congress recognized Gran Colombian rights over Tumbes, Jaén, and Maynas. Through meetings between Peru and Gran Colombia, the border was set as Tumbes river in the west, and in the east, the Maranon and Amazon rivers were to be followed toward Brazil as the most natural borders between them. According to the peace negotiations Peru agreed to return Guayaquil, Tumbez, and Jaén; despite this, Peru returned Guayaquil, but failed to return Tumbes and Jaén, alleging that it

10450-420: The sphere is 111.2 km (69.1 statute miles) (60.0 nautical miles). The length of one minute of latitude is 1.853 km (1.151 statute miles) (1.00 nautical miles), while the length of 1 second of latitude is 30.8 m or 101 feet (see nautical mile ). In Meridian arc and standard texts it is shown that the distance along a meridian from latitude ϕ to the equator is given by ( ϕ in radians) where M ( ϕ )

10560-403: The squared eccentricity as 0.0067 (it depends on the choice of ellipsoid) the maximum difference of ϕ − θ {\displaystyle \phi {-}\theta } may be shown to be about 11.5 minutes of arc at a geodetic latitude of approximately 45° 6′. The parametric latitude or reduced latitude , β , is defined by the radius drawn from the centre of

10670-454: The standard reference for map projections, namely "Map projections: a working manual" by J. P. Snyder. Derivations of these expressions may be found in Adams and online publications by Osborne and Rapp. The geocentric latitude is the angle between the equatorial plane and the radius from the centre to a point of interest. When the point is on the surface of the ellipsoid, the relation between

10780-468: The study of geodesy, geophysics and map projections but they can all be expressed in terms of one or two members of the set a , b , f and e . Both f and e are small and often appear in series expansions in calculations; they are of the order ⁠ 1 / 298 ⁠ and 0.0818 respectively. Values for a number of ellipsoids are given in Figure of the Earth . Reference ellipsoids are usually defined by

10890-406: The term "latitude" normally refers to the geodetic latitude as defined below. Briefly, the geodetic latitude of a point is the angle formed between the vector perpendicular (or normal ) to the ellipsoidal surface from the point, and the plane of the equator . Two levels of abstraction are employed in the definitions of latitude and longitude. In the first step the physical surface is modeled by

11000-557: The territory that had belonged to the Real Audiencia of Quito , also referred to as the Presidencia of Quito. He supported his claims with Spanish Royal decrees, or real cedulas , that delineated the borders of Spain's former overseas colonies. In the case of Ecuador, Flores based Ecuador's de jure claims on the Real Cedulas of 1563, 1739, and 1740; with modifications in the Amazon Basin and Andes Mountains that were introduced through

11110-407: The theory of map projections: The definitions given in this section all relate to locations on the reference ellipsoid but the first two auxiliary latitudes, like the geodetic latitude, can be extended to define a three-dimensional geographic coordinate system as discussed below . The remaining latitudes are not used in this way; they are used only as intermediate constructs in map projections of

11220-609: The walls of Quito referring to Peru as the " Cain de Latinoamérica ", a reference to the murder of Abel by his brother Cain in the Book of Genesis . Ecuador and Peru signed the Brasilia Presidential Act peace agreement on 26 October 1998, which ended hostilities, and effectively put an end to the Western Hemisphere's longest running territorial dispute. The Guarantors of the Rio Protocol (Argentina, Brazil, Chile, and

11330-610: The world to become listed sites. The Rio Protocol failed to precisely resolve the border along a little river in the remote Cordillera del Cóndor region in southern Ecuador. This caused a long-simmering dispute between Ecuador and Peru, which ultimately led to fighting between the two countries; first a border skirmish in January–February 1981 known as the Paquisha Incident , and ultimately full-scale warfare in January 1995 where

11440-508: Was born in Ecuador, believing his opportunity had come to annex the District of Ecuador to Peru, personally, with a Peruvian force, invaded and occupied Guayaquil and a few cities in the Loja region of southern Ecuador on 28 November 1828. The war ended when an outnumbered southern Gran Colombian army at Battle of Tarqui on 27 February 1829, led by Antonio José de Sucre , defeated the Peruvian invasion force led by President La Mar. This defeat led to

11550-568: Was not obligated to follow the agreements, since the Gran Colombia ceased to exist when it divided itself into three different nations – Ecuador, Colombia, and Venezuela. The Central District of the Gran Colombia, known as Cundinamarca or New Granada (modern Colombia) with its capital in Bogota, did not recognize the separation of the Southern District of the Gran Colombia, with its capital in Quito, from

11660-580: Was signed by which the Department of Cauca was turned over to New Granada (modern Colombia), the government of Bogotá recognized Ecuador as an independent country and the border was to follow the Ley de División Territorial de la República de Colombia (Law of the Division of Territory of the Gran Colombia) passed on 25 June 1824. This law set the border at the river Carchi and the eastern border that stretched to Brazil at

11770-500: Was studied by Alexander von Humboldt , when he visited the area in 1801–1802. After nearly 300 years of Spanish rule, Quito still remained small with a population of 10,000 people. On 10 August 1809, the city's criollos called for independence from Spain (first among the peoples of Latin America). They were led by Juan Pío Montúfar, Quiroga, Salinas, and Bishop Cuero y Caicedo. Quito's nickname, " Luz de América " ("Light of America"),

11880-499: Was sworn in, becoming the country's first right-wing leader in 14 years. Lasso's party CREO Movement, and its ally the Social Christian Party (PSC) won only 31 parliamentary seats out of 137, while Aráuz's Union for Hope (UNES) won 49 seats, which meant Lasso needed support from the Izquierda Democrática and the indigenist Pachakutik parties to push through his legislative agenda. Latitude#Subdivisions On its own,

11990-408: Was the first meeting between an Ecuadorian and U.S. president in 17 years. A series of protests began on 3 October 2019 against the end of fuel subsidies and austerity measures adopted by Moreno. On 10 October, protesters overran Quito, the capital, causing the Government of Ecuador to relocate temporarily to Guayaquil . The government eventually returned to Quito in 2019. On 14 October 2019,

12100-482: Was to form a new republic known as the Gran Colombia , out of the liberated Spanish territory of New Granada which consisted of Colombia, Venezuela, and Ecuador. San Martín's plans were thwarted when Bolívar, descended from the Andes mountains and occupied Guayaquil; they also annexed the newly liberated Audiencia de Quito to the Republic of Gran Colombia. In the south, Ecuador had claims to a small piece of land beside

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