hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Polar circle (geometry)
In geometry, the polar circle of a triangle is the circle whose center is the triangle's orthocenter and whose squared radius is

where A, B, C denote both the triangle's vertices and the angle measures at those vertices; H is the orthocenter (the intersection of the triangle's altitudes); D, E, F are the feet of the altitudes from vertices A, B, C respectively; R is the triangle's circumradius (the radius of its circumscribed circle);  and a, b, c are the lengths of the triangle's sides opposite vertices A, B, C respectively.: p. 176

The first parts of the radius formula reflect the fact that the orthocenter divides the altitudes into segment pairs of equal products. The trigonometric formula for the radius shows that the polar circle has a real existence only if the triangle is obtuse, so one of its angles is obtuse and hence has a negative cosine.

Circle
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of the circle and the centre is called the radius. The length of a line segment connecting two points on the circle and passing through the centre is called the diameter. A circle bounds a region of the plane called a disc.

The circle has been known since before the beginning of recorded history. Natural circles are common, such as the full moon or a slice of round fruit. The circle is the basis for the wheel, which, with related inventions such as gears, makes much of modern machinery possible. In mathematics, the study of the circle has helped inspire the development of geometry, astronomy and calculus.
Ridgid
The Ridge Tool Company is an American manufacturing company that makes and distributes tools under the Ridgid brand name. The company was founded in 1923 in North Ridgeville, Ohio. In 1943, it relocated to its current location in Elyria, Ohio, and in 1966, it became a wholly owned subsidiary of Emerson Electric.

Ridgid tools are targeted at the plumbing, pipe fitting, construction, and HVAC trades. The brand is best known for its distinctive red pipe wrenches, but the company manufactures over 300 different types of tools. The company also sells power tools, largely made by TTI, and wet/dry vacs, made by parent company Emerson.

Ridgid produced a pinup calendar from 1949 until 2016. Early renditions featured the work of American pin-up artist George Petty. Models having appeared on the calendar include Raquel Welch and Brooke Burke.

Brooke Burke
Brooke Lisa Burke (born September 8, 1971) is an American television and fitness personality, model, author, actress, and businesswoman. She is known for hosting the E! Network travel show Wild On! (1999–2002), CBS's Rock Star (2005–2006), and TV Land's She's Got the Look (2010). After winning the seventh season of Dancing with the Stars, Burke served as co-hostess of the show from season ten to season seventeen (2010–2013). In 2017, Burke launched "Brooke Burke Body," a fitness app with workout videos featuring her. Since 2023, Brooke has served as the host of Penn & Teller: Fool Us, joining the series in its 10th season.
Bin Roye Ansoo (novel)
Bin Roye Ansoo (Urdu: بن روے آنسو ; lit: Tears, Without Crying) is a novella by Pakistani fiction writer Farhat Ishtiaq, published in 2010. Bin Roye Ansoo was first published in Khawateen Digest, an Urdu-language monthly magazine, as a story in its complete novel section. In 2010, story was published as a novel by Ilm-o-Irfan Publishers.

Hum TV
Hum TV HD is a 24-hour Urdu general entertainment TV channel based in Karachi, Pakistan. It was founded by Sultana Siddiqui and Duraid Qureshi in 2005.

It is owned by Hum Network Limited and traded on the Pakistan Stock Exchange as (HUMNL).

Hum Network Limited was known as Eye Television Network Limited prior to 21 January 2011. Hum TV began its transmission on 17 January 2005. In March 2013, Hum Network held its first Hum Awards ceremony. As of 1 May 2018, Hum TV shut down its SD feed and shifted to HD resolution in Pakistan.

Hum TV is one of Pakistan's biggest entertainment networks and regularly is in the  top ranks and maintains a loyal fanbase on social media in Pakistan, India, Bangladesh, and streaming platforms, as well as on television.
Claire Bodson
Claire Bodson is a Belgian stage and film actress. She studied at the Royal Conservatory of Brussels and began working in theatre after developing an interest in acting. After some stage experiences at the Théâtre de l'Ancre in Charleroi, Bodson became a regular performer at the Théâtre National Wallonie-Bruxelles, starting in 1997.

She made her film debut in Private Lessons (2008), a drama film directed by Joachim Lafosse that earned her a Magritte Award nomination in the category of Best Supporting Actress. She returned to film acting in 2014 with Our Children, which marked her second collaboration with Lafosse.

Bodson then appeared in Jean-Pierre and Luc Dardenne's film Young Ahmed (2019). At the 10th Magritte Awards, it received nine nominations, including Best Supporting Actress for Bodson. She is known to be selective about her film roles.

Théâtre national Wallonie-Bruxelles
The Théâtre national Wallonie-Bruxelles (French pronunciation: [teɑtʁ nɑsjɔnal walɔni bʁysɛl]; "National Theatre Wallonia-Brussels") is a theatre in central Brussels, Belgium, owned by the French Community of Belgium. It is located at  111/115, boulevard Émile Jacqmain/Émile Jacqmainlaan.
Michael Downes
Michael Downes (21 October 1868 – 21 May 1943) was an Irish hurler who played with the Limerick senior team.

Born in Kilfinane, County Limerick, Downes first played competitive hurling in his youth. He quickly established himself on the Kilfinane team and won county senior championship medals in 1897 and 1899.

After success at club level, Downes joined the Limerick senior team. He was part of the team that won All-Ireland, Munster, and Croke Cup titles in 1897.

County Limerick
County Limerick (Irish: Contae Luimnigh) is a western county in Ireland. It is in the province of Munster and is located in the Mid-West which comprises part of the Southern Region. It is named after the city of Limerick. Limerick City and County Council is the local council for the county. The county's population at the 2022 census was 209,536 of whom 102,287 lived in Limerick City, the county capital.
Life of a Ghost
Life of a Ghost is the third full-length album by Danish band Blue Foundation. It was released on 24 September 2007 in Europe via Virgin Music Denmark/EMI and in 2009 in the USA via Astralwerks. Recording sessions took place in Copenhagen from 2006 to 2007. Production was handled by Blue Foundation members Tobias Wilner and Bo Rande. The album peaked at number 12 in Denmark.

The song "Eyes On Fire" peaked at number 49 on the Billboard Heatseekers Songs chart, and was featured on the soundtrack to the 2008 film Twilight. "Eyes On Fire" was also remixed by Zeds Dead in 2009.

Zeds Dead
Zeds Dead is a Canadian electronic music duo from Toronto consisting of Dylan Mamid, also known as DC, and Zachary Rapp-Rovan, also known as Hooks. The duo rose to prominence releasing original music and remixes from 2009 to 2010 before becoming a staple on the international touring circuit thereafter. They explore a diverse variety of genres that combine aspects of dubstep, UK garage, house, electro house, hip-hop, glitch, drum and bass, and more.
Assane Diallo
Assane Diallo (born 10 February 1975) is a Senegalese runner who specializes in the 800 metres.

Diallo finished eighth in 4 x 400 metres relay at the 1999 World Championships, together with teammates Ousmane Niang, Ibou Faye and Ibrahima Wade.

On the individual level, Diallo won a bronze and a silver medal at the Jeux de la Francophonie in 1997 and 2005 respectively. His personal best time is 1:45.11 minutes, achieved in August 1999 in Montauban.

Jeux de la Francophonie
The Jeux de la Francophonie (Canadian English: Francophonie Games; British English: Francophone Games) are a combination of artistic and sporting events for the Francophonie, mostly French-speaking nations and former colonies of France, held every four years since 1989.
Ocellularia aptrootiana
Ocellularia aptrootiana is a species of corticolous lichen in the family Graphidaceae. Found in Sri Lanka, it was formally described as a new species in 2014 by lichenologists Gothamie Weerakoon, Robert Lücking, and Helge Thorsten Lumbsch. The type specimen was collected from Mahailluppallama (Anuradhapura, North Central Province) at an altitude of 170 m (560 ft). Here, in a low-altitude, dry, semi-evergreen forest, it was found growing around a water tank. The specific epithet aptrootiana honours Dutch lichenologist André Aptroot, "for his important contributions to tropical lichenology and his help with the research by the first author". Ocellularia aptrootiana has a grey, smooth to uneven or cracked thallus up to convert 5 cm (2 in) in diameter. The ascospores are hyaline, ellipsoid in shape, contain seven septa, and measure 20–25 by 6–7 μm. Secondary chemicals present in the lichen include psoromic acid, subpsoromic acid, and 2’-O-demethylpsoromic acids.

Psoromic acid
Psoromic acid is a β-orcinol depsidone with the molecular formula C18H14O8. Its depsidone structure was conclusively confirmed by spectroscopic and degradative studies in 1976. The compound is most commonly found in Antarctic lichens and has demonstrated antiviral properties in laboratory studies. The first total synthesis of this lichen product was reported in 1979.
The New York Review Children's Collection
The New York Review Books Children's Collection (currently published under the label NYRB Kids) is a series of children's books released under the publishing imprint New York Review Books. The series was founded in 2003 to reintroduce some of the many children's books that have fallen out of print, or simply out of mainstream attention. The series includes more than 80 titles, ranging from picture books to young adult novels.  Often reissued with new introductions, writers such as Michael Chabon, Neil Gaiman, and Philip Pullman have all introduced titles in this series.

The titles include the Caldecott Medal-winning picture book D'Aulaires' Book of Norse Myths; the Newbery Honor Book Pecos Bill; Wee Gillis, a Caldecott Honor Book; the 1944 winner of the Carnegie Medal, The Wind on the Moon; Esther Averill's Jenny and the Cat Club series; The House of Arden; The 13 Clocks; The Wonderful O; The Peterkin Papers; and holiday favorites The Midnight Folk and The Box of Delights.

Ingri and Edgar Parin d'Aulaire
Ingri d'Aulaire (December 27, 1904 – October 24, 1980) and Edgar Parin d'Aulaire (September 30, 1898 – May 1, 1986) were writers and illustrators of children's books who worked primarily as a team, completing almost all of their well-known works together. The couple immigrated to the United States from Europe and worked on books that focused on history such as Abraham Lincoln, which won the 1940 Caldecott Medal. They were part of the group of immigrant artists composed of Feodor Rojankovsky, Roger Duvoisin, Ludwig Bemelmans, Miska Petersham and Tibor Gergely, who helped shape the Golden Age of picture books in mid-twentieth-century America.
Geraldine McEwan
Geraldine McEwan (born Geraldine McKeown; 9 May 1932 – 30 January 2015) was an English actress, who had a long career in film, theatre and television. Michael Coveney described her, in a tribute article, as "a great comic stylist, with a syrupy, seductive voice and a forthright, sparkling manner".

McEwan was a five-time Olivier Award nominee, and twice won the Evening Standard Award for Best Actress; for The Rivals (1983) and The Way of the World (1995). She was also nominated for the 1998 Tony Award for Best Actress in a Play for The Chairs. She won the BAFTA TV Award for Best Actress for the 1990 television serial Oranges Are Not the Only Fruit, and from 2004 to 2009, she starred as the Agatha Christie sleuth Miss Marple, in the ITV series Marple.

Theatre Royal, Windsor
The Theatre Royal is an Edwardian theatre on Thames Street in Windsor in Berkshire. The present building is the second theatre to stand on this site and opened on 13 December 1910. Built for Sir William Shipley and Captain Reginald Shipley, it was a replacement for their previous theatre which was built in 1815 and had burnt down in 1908. The present theatre was designed by Frank Verity, the son of the theatre architect Thomas Verity. The building is Grade II listed and is the only unsubsidised producing theatre to operate all year round in the United Kingdom.
Colle di Nava
Colle di Nava at 934 metres (3,064 ft) is a mountain pass in the Province of Imperia in Italy. It is located on the main chain of the Alps and connects Ormea and the Tanaro Valley (CN) with Pieve di Teco and Imperia, the latter on the coast of Ligurian Sea. According both to the SOIUSA and the CAI, the pass marks the Western border of the Ligurian Prealps.

Main chain of the Alps
The main chain of the Alps, also called the Alpine divide is the central line of mountains that forms the drainage divide of the range.  Main chains of mountain ranges are traditionally designated in this way, and generally include the highest peaks of a range. The Alps are something of an unusual case in that several significant groups of mountains are separated from the main chain by sizable distances.  Among these groups are the Dauphiné Alps, the Eastern and Western Graians, the entire Bernese Alps, the Tödi, Albula and Silvretta groups, the Ortler and Adamello ranges, and the Dolomites of Veneto and South Tyrol, as well as the lower Alps of Vorarlberg, Bavaria, and Salzburg.
Conholt
Conholt was a small village in east Wiltshire, England, close to the Hampshire border and about 6 miles (10 km) northwest of Andover. It is now the site of the Conholt Park estate.

There may have been a village here in the 13th century, but by the 16th there were only farmsteads. In the late 17th century a deer park was created. Since the 19th century the land has been part of Chute civil parish.

The country house known as Conholt Park was built in the late 17th century and extended in the 18th and early 19th. The house is Grade II* listed and its 18th-century stable block and carriage house are Grade II listed. In 1992 the estate was acquired by a company belonging to the family of Paul van Vlissingen, an Anglo-Dutch businessman and philanthropist; it was his home from 1994 until his death in 2006. American billionaire Steve Schwarzman purchased the house, with 2,500 acres, in 2022 for an amount reported to be in excess of £80 million.

Andover, Hampshire
Andover (/ˈændoʊvər/ AN-doh-vər) is a town in the Test Valley district of Hampshire, England. The town is on the River Anton, a major tributary of the Test, and lies alongside the major A303 trunk road at the eastern end of Salisbury Plain, 18 miles (29 km) west of the town of Basingstoke. It is 14 miles (23 km) from Winchester, 35 miles (56 km) north of Southampton and 65 miles (105 km) from London.

The town developed as a centre for grain milling and wool processing, and in the 20th century it took on a significant Armed Forces presence.
Heavyweight Wrestling
Heavyweight Wrestling from Washington is the first weekly televised wrestling program that was produced by the Capitol Wrestling Corporation, a regional professional wrestling promotion and member of the National Wrestling Alliance, which was the predecessor of WWE. The show debuted on January 5, 1956, and aired until September 1971 when Vincent J. McMahon moved the television tapings to eastern Pennsylvania and replaced Heavyweight Wrestling with All-Star Wrestling. Host Bill Malone stayed with All Star Wrestling until he was replaced by McMahon's son Vincent K. McMahon. The show was hosted by Malone (1956), Morris Siegel (1956–1959), and Ray Morgan (1959–1971) and was taped at the Capital Arena in Washington, D.C.

Vincent J. McMahon
Vincent James McMahon (July 6, 1914 – May 24, 1984), also referred to as Vince McMahon Sr., was an American professional wrestling promoter. He is best known for running the Capitol Wrestling Corporation, later known as the World Wide Wrestling Federation and the World Wrestling Federation (and now known as WWE). His father, Jess McMahon, and his son Vince McMahon were also professional wrestling promoters.
Pristimantis pugnax
Pristimantis pugnax is a species of frog in the family Strabomantidae. It is found in Colombia and Ecuador. Its natural habitats are tropical moist montane forests and rivers. It is threatened by habitat loss.

Strabomantidae
The Strabomantidae, sometimes called cloud forest landfrogs, are a family of frogs native to South America. These frogs lack a free-living larval stage and hatch directly into miniature "froglets". This family includes Pristimantis, the most speciose genus of any vertebrate. Based on molecular dating, the Holoadeninae in particular appears to have originated in the Eocene. The Oligocene-Miocene transition was also found to be important to their biogeographical history. However, the lack of Holoadeninae fossils and limited nucleotide data ambiguates the results, by the authors' admission.
Modern history of Macedonia (Greece)
In the 19th century, the national revival in the Balkans began; national and religious antagonism flared, and conflict was heightened by the Ottoman policy of playing one group against the other. Meanwhile, the Ottoman Empire lost control over the major sections of Greece, Serbia, and Bulgaria, each of which claimed Macedonia on historical or ethnical grounds.

In the Treaty of San Stefano (1878), which terminated the Russo-Turkish War of 1877–78, Bulgaria was awarded much of Macedonia.  However, the settlement was nullified by the European powers in the same year (see Congress of Berlin), and Macedonia was left under direct Ottoman control.

After the Greco-Turkish war of 1897, which proved a disaster for Greece, Bulgarian nationalism started strengthening in Macedonia. On the feast day (20 July) of the prophet Elijah in 1903 there was an uprising, known as the Ilinden Uprising, which the Ottoman army soon suppressed.

Treaty of Bucharest (1913)
The Treaty of Bucharest (Romanian: Tratatul de la București; Serbian: Букурештански мир; Bulgarian: Букурещки договор; Greek: Συνθήκη του Βουκουρεστίου) was concluded on 10 August 1913, by the delegates of Bulgaria, Romania, Serbia, Montenegro and Greece. The Treaty was concluded in the aftermath of the Second Balkan War and amended the previous Treaty of London, which ended the First Balkan War. About one month later, the Bulgarians signed a separate border treaty (the Treaty of Constantinople) with the Ottomans, who had regained some territory west of the Enos-Midia Line during the second war.
2026 AFC Women's Asian Cup qualification
The 2026 AFC Women's Asian Cup qualification was an association football qualification tournament for the 2026 AFC Women's Asian Cup.

The qualification tournament decided eight of the twelve participating teams in the final tournament to be held in Australia. Along with the host nation, the top three teams in the 2022 AFC Women's Asian Cup final tournament also secured automatic qualification: China, South Korea and Japan. A total of 34 teams submitted entries to participate in the qualifiers.

This tournament served as the first stage of Asian qualification for the 2027 FIFA Women's World Cup and the 2028 Olympic football tournament.

The teams were divided into eight groups, with group winners qualifying to the final tournament.

China women's national football team
China women's national football team (Chinese: 中国国家女子足球队; pinyin: Zhōngguó Guójiā Nǚzǐ Zúqiú Duì, recognized as China PR by FIFA) represents the People's Republic of China in international women's football competitions and is governed by the Chinese Football Association.

China women's team won silver medals at the 1996 Summer Olympics and the 1999 FIFA Women's World Cup. It also has won 9 titles at Asian Cup and 3 Gold medals at Asian Games.

Nicknamed the Steel Roses (Chinese: 铿锵玫瑰), they won several international titles in the 1990s, during the Golden Generation. The team lost some pace in the continent to the national teams of Japan and Australia after the start of the 21st century although in 2023, the team was ranked as the 15th best in the world  and also won the ninth AFC Asian Cup in their story, the first since 2006.
2017 Las Vegas 350
The 2017 Las Vegas 350 was the 18th stock car race of the 2017 NASCAR Camping World Truck Series, the second race of the 2017 NASCAR Camping World Truck Series playoffs, the second race of the Round of 8, and the 21st iteration of the event. The race was held on Saturday, September 30, 2017, in North Las Vegas, Nevada at Las Vegas Motor Speedway, a 1.5 miles (2.4 km) permanent D-shaped racetrack. The race took the scheduled 146 laps to complete. At race's end, Ben Rhodes, driving for ThorSport Racing, held off a charging Christopher Bell for his first career NASCAR Camping World Truck Series win. He would also earn a spot in the next round of the playoffs. To fill out the podium, Chase Briscoe of Brad Keselowski Racing would finish third, respectively.

Legacy Motor Club
Legacy Motor Club, formerly known as Petty GMS Motorsports, is an American professional stock car racing team owned by Jimmie Johnson with minority stakes by Richard Petty, Maury Gallagher, and Knighthead Capital Management.

The team competes in the NASCAR Cup Series where they currently field three Toyota Camry teams: the No. 42 full-time for John Hunter Nemechek, the No. 43 full-time for Erik Jones, and the No. 84 part-time for team co-owner Johnson. The team has a technical alliance with Toyota Racing Development. In 2024, Legacy Motor Club competed in the electric off-road racing series Extreme E.
Herpha
Herpha, also known as Erpha and Herpa and Erpa, was a town of ancient Cappadocia, inhabited during Hellenistic, Roman, and Byzantine times.

Its site is located at the crossing of the Karmalas on the main road, Asiatic Turkey.

Zamantı River
Zamantı River is a river in Central Anatolia, Turkey, crossing Kayseri Province in practically its whole course to join Seyhan River further south, of which it is the western, the longest and the most important tributary. Zamantı and Göksu join 80 km north of Adana to form Seyhan River.
Gavlen Ridge
Gavlen Ridge (72°39′S 0°27′E﻿ / ﻿72.650°S 0.450°E﻿ / -72.650; 0.450) is a ridge forming the southern extremity of the Roots Heights, in the southern part of the Sverdrup Mountains in Queen Maud Land, Antarctica. It was photographed from the air by the Third German Antarctic Expedition, which took place in 1938–39. It was mapped by Norwegian cartographers from surveys and air photos by the Norwegian–British–Swedish Antarctic Expedition (1949–52) and from air photos by the Norwegian expedition (1958–59) and named Gavlen (the gable).

Sverdrup Mountains
The Sverdrup Mountains (Norwegian: Sverdrupfjella) are a group of mountains about 80 km (50 mi) long, standing just west of the Gjelsvik Mountains in Queen Maud Land, East Antarctica. With its summit at 2,855 metres (9,367 ft), Hamartind Peak forms the highest point in the Sverdrup Mountains.
Isabell Huber
Isabell Huber (born 27 August 1987 in Heilbronn) is a German politician serving as a member of the Landtag of Baden-Württemberg since 2019. From 2021 to 2023, she served as secretary general of the CDU Baden-Württemberg.

Landtag of Baden-Württemberg
The Landtag of Baden-Württemberg is the diet of the German state of Baden-Württemberg. It convenes in Stuttgart and currently consists of 154 members of five political parties. The majority before the 2021 election was a coalition of the Alliance 90/The Greens and the Christian Democratic Union (CDU), supporting the cabinet of Green Minister-President Winfried Kretschmann, who has served since 2011.