hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Nine-point hyperbola
In Euclidean geometry with triangle △ABC, the nine-point hyperbola is an instance of the nine-point conic described by American mathematician Maxime Bôcher in 1892. The celebrated nine-point circle is a separate instance of Bôcher's conic:

Given a triangle △ABC and a point P in its plane, a conic can be drawn through the following nine points:
the midpoints of the sides of △ABC,
the midpoints of the lines joining P to the vertices, and
the points where these last named lines cut the sides of the triangle.

The conic is an ellipse if P lies in the interior of △ABC or in one of the regions of the plane separated from the interior by two sides of the triangle; otherwise, the conic is a hyperbola. Bôcher notes that when P is the orthocenter, one obtains the nine-point circle, and when P is on the circumcircle of △ABC, then the conic is an equilateral hyperbola.

Nine-point circle
In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are:

The midpoint of each side of the triangle

The foot of each altitude

The Euler points: the midpoint of the line segment from each vertex of the triangle to the orthocenter (where the three altitudes meet; these line segments lie on their respective altitudes).

The nine-point circle is also known as  Feuerbach's circle (after Karl Wilhelm Feuerbach), Euler's circle (after Leonhard Euler),  Terquem's circle (after Olry Terquem), the six-points circle, the twelve-points circle, the n-point circle, the medioscribed circle, the mid circle or the circum-midcircle. Its center is the nine-point center of the triangle.
Komiks Presents: Dragonna
Dragonna is a Philippine television drama fantasy series broadcast by ABS-CBN. This series is based on the comic strip at the same title by Mars Ravelo, the series is the sixth installment of Komiks. Directed by Dondon S. Santos, it stars Shaina Magdayao, Alessandra De Rossi and Jake Cuenca. It aired on the network's Yes Weekend line up from December 20, 2008 to February 7, 2009, replacing Komiks Presents: Tiny Tony and was Komiks Presents: Flash Bomba. The series is about a teenage girl who discovers that she has pyrokinetic abilities and decides to use this newly found ability for a greater good. She releases this ability every time she loses her temper.

Two superheroes meet as the heroine Dragonna bids goodbye in her last fight and the bombastic Flash Bomba begins his adventure.

Komiks Presents: Flash Bomba
Komiks Presents: Flash Bomba is a Philippine television drama fantasy series broadcast by ABS-CBN. This series is based on the comic strip at the same title by Mars Ravelo, the series is the seventh installment of Komiks. Directed by Dondon S. Santos, it stars Luis Manzano and Roxanne Guinoo. It aired on the network's Yes Weekend line up from February 14 to April 25, 2009, replacing Komiks Presents: Dragonna and was replaced by Komiks: Nasaan Ka Maruja?. The Ravelos commissioned Reno Maniquis some years back to re-design Flash Bomba's costume for modern times and he also did the logo design for Flash Bomba.

Two superheroes meet as the hot heroine Dragonna bids goodbye in her last fight and the bombastic Flash Bomba begins his adventure.
Miss Universe Nepal 2020
Miss Universe Nepal 2020, was organized by Umanga Creation Pvt. Ltd. held on 30 December 2020 at Kathmandu Marriott Hotel. Nagma Shrestha crowned Anshika Sharma as the winner to represent Nepal in Miss Universe 2020.

The winner received NPR Rs. 1,000,000 as prize for winning the title as well as full support from the Umanga Creation Pvt. Ltd. for her chosen advocacy.

AP1 TV  broadcast the pageant live and for all the Nepalese abroad and it was also live streamed on Youtube.

Anshika Sharma
Anshika Sharma (Nepali: अंशिका शर्मा) (born July 11, 1996) is a Nepalese beauty pageant titleholder who was crowned Miss Universe Nepal 2020. She represented Nepal at Miss Universe 2020. She worked as a sales analyst and was the runner-up at Miss Nepal Oceania 2020.
Asama (train)
The Asama (Japanese: あさま) is a local high-speed Shinkansen service on the Hokuriku Shinkansen operated by the East Japan Railway Company (JR East). It operates between Tokyo and Nagano in Japan. The Shinkansen service was introduced in October 1997, although the name Asama was first used for a limited express service operated by Japanese National Railways (JNR) in 1961. The service is named after Mount Asama), an active volcano near Karuizawa, on the boundary between Gunma and Nagano prefectures.

E7 and W7 Series Shinkansen
The E7 series (Japanese: E7系) and W7 series (W7系) Shinkansen are Japanese high-speed electric multiple unit train types operated on the Hokuriku and Jōetsu Shinkansen lines, and jointly developed by East Japan Railway Company (JR East) and West Japan Railway Company (JR West) respectively.

The E7 series has operated since 15 March 2014 on the Hokuriku Shinkansen. It also operates on the Jōetsu Shinkansen following the March 2019 timetable revision. 47 sets have been built, of which 39 are in service as of March 2024.

The W7 series has operated on the Hokuriku Shinkansen since it was extended from Nagano to Kanazawa in March 2015. The first W7 series train was delivered in April 2014. 24 sets have been built, of which 22 are in service as of March 2024.
Doho University
Doho University (同朋大学, Dōhō daigaku) is a private university in Nakamura-ku, Nagoya, Aichi Prefecture, Japan. The predecessor of the school was founded in 1826, and it was chartered in 1950. It includes the Nagoya College of Music (名古屋音楽大学, Nagoya Ongaku Daigaku), also known locally as Meion (名音). The university is affiliated with the Jōdo Shinshū sect (浄土真宗, "True Pure Land School") of Buddhism.

Nagoya College of Music
Nagoya College of Music (名古屋音楽大学, Nagoya Ongaku Daigaku) is a private university at Nakamura-ku, Nagoya, Aichi Prefecture, Japan. The school was founded as a junior college in 1965 and became a four-year college in 1976. The school is also known locally as Meion (名音). It is sister school of Doho University.
Jan Pearson
Jan Pearson (born 12 April 1959) is an English actress. Pearson grew up in Wollaston, West Midlands, and began her career in various stage productions. She yearned to work in television and was soon cast as Kath Fox in the BBC medical drama Holby City in 1999, a role she stayed in until 2004. She then ventured back into theatre, before joining the BBC soap opera Doctors as Karen Hollins. For her role in Doctors, Pearson won the award for Best On-Screen Partnership twice alongside Chris Walker, at the 2010 and 2023 British Soap Awards. Pearson left Doctors in 2023.

Wollaston, West Midlands
Wollaston is a village on the outskirts of Stourbridge, in the county of the West Midlands, England. It is in the south-west of the Metropolitan Borough of Dudley, about one mile to the west of Stourbridge town centre.
Ryuji Sainei
Ryuji Sainei (載寧 龍二, Sainei Ryūji), born on October 8, 1981, in Higashihiroshima, Hiroshima, Japan) is a Japanese actor, best known for his role as Banban "Ban" Akaza/Deka Red in the 2004 Super Sentai series Tokusou Sentai Dekaranger. He is currently a freelance actor but was affiliated with Horipro until December 31, 2014. On April 1, 2015, he changed his name to "さいねい 龍二", the same reading.

Tokusou Sentai Dekaranger
Tokusou Sentai Dekaranger (特捜戦隊デカレンジャー, Tokusō Sentai Dekarenjā; Special Police Squadron Dekaranger) is a Japanese Tokusatsu television show and the twenty-eighth production of the Super Sentai metaseries produced by Toei. It aired from February 15, 2004, to February 6, 2005, replacing Bakuryū Sentai Abaranger and was replaced by Mahō Sentai Magiranger. The program was part of TV Asahi's 2004 Super Hero Time block with Kamen Rider Blade. The action footage from the show was used for the American series, Power Rangers S.P.D.. Shout! Factory released the series on Region 1 DVD in the United States on February 14, 2023.
Cozumel
Cozumel (Spanish pronunciation: [kosuˈmel]; Yucatec Maya: Kùutsmil) is an island and municipality in the Caribbean Sea off the eastern coast of Mexico's Yucatán Peninsula, opposite Playa del Carmen. It is separated from the mainland by the Cozumel Channel and is close to the Yucatán Channel. The municipality is part of the state of Quintana Roo, Mexico.

In 2023, Cozumel was designated a Pueblo Mágico by the Mexican government, recognizing its cultural and historical importance.

San Miguel de Cozumel
San Miguel de Cozumel, Commonly known as San Miguel (Spanish pronunciation: [sam miˈɣel de kosuˈmel]) is the largest city in Cozumel Municipality in the Mexican state of Quintana Roo. With a 2010 census population of 77,236, it is also Quintana Roo's fourth-largest community, after Cancún, Chetumal, and Playa del Carmen. It is a hub for tourism on the Riviera Maya, providing the sole ferries between the Mexican mainland and the island.  In addition to the ferry service to Playa del Carmen, the first international cruise terminal in Quintana Roo is located in the city.
Bob Henrit
Robert John Henrit (born 2 May 1944) is an English drummer. He has been a notable member of several musical groups, including Buster Meikle & The Daybreakers, Unit 4 + 2, the Roulettes, Argent and The Kinks.

The Roulettes
The Roulettes were a British rock and roll and beat group formed in London in 1961. They were recruited to play as the backing group to singer Adam Faith the following year, and continued to perform and record until the late 1960s.
Taw Kyi Kan
Khoe Soe Lu Hnite 2: Taw Kyi Kan (Burmese: ခိုးဆိုးလုနှိုက်၂ တောကျီးကန်း) is a 2017 Burmese action-drama film, directed by Steel (Dwe Myittar) starring Myint Myat, Khin Hlaing, Htoo Char and Moe Hay Ko. It is the second movie of Khoe Soe Lu Hnite film series. The film, produced by Moe Film Production premiered in Myanmar on December 22, 2017.

Khoe Soe Lu Hnite
Khoe Soe Lu Hnite (Burmese: ခိုးဆိုးလုနှိုက်) is a 2016 Burmese action-drama film, directed by Steel (Dwe Myittar) starring Myint Myat, Khin Hlaing, Htun Htun, Nay Dway and Thinzar Wint Kyaw. The film, produced by Moe Film Production premiered in Myanmar on July 15, 2016.
The Lawrence International School
The Lawrence International School, Jaisinghpur (Bijapur) Kangra Himachal Pradesh is a private co-educational day and boarding school with around 500 students in Jaisinghpur, India. It is run by the Lawrence Educational and Social Development Care society. The core members of society are:

President: Sanjay Rana

Vice President: Surinder Jaggi

Secretary: Chander Pal Rihal (Rishi)

Joint Secretary: Sunil Rana

Associate: Saurabh Katoch (Goru)

Principal in charge: Surinder Jaggi (acting principal since 1 July 2007)

Vice principal= Mr. Lavekesh

Jaisinghpur
Jaisinghpur is a small town and  subdivision in Kangra district of Himachal Pradesh, India. There are two tehsils: the main tehsil is in Jaisinghpur and the sub tehsil is in Alampur. The population of Jaisinghpur is 2,602 and the overall population of Jaisinghpur subdivision is 58,623.
Born to Be Blue (Grant Green album)
Born to Be Blue is an album by American jazz guitarist Grant Green featuring performances recorded for Blue Note on March 1, 1962 but not released until 1985. Green is accompanied by tenor saxophonist Ike Quebec, pianist Sonny Clark, bassist Sam Jones and drummer Louis Hayes.

Ike Quebec
Ike Abrams Quebec (August 17, 1918 – January 16, 1963) was an American jazz tenor saxophonist. He began his career in the big band era of the 1940s, then fell from prominence for a time until launching a comeback in the years before his death.

Critic Alex Henderson wrote, "Though he was never an innovator, Quebec had a big, breathy sound that was distinctive and easily recognizable, and he was quite consistent when it came to down-home blues, sexy ballads, and up-tempo aggression."
Hilton Head Island High School
Hilton Head Island High School (shortened to Hilton Head High, HHIHS, or HHH) is a public high school within the Beaufort County School District, located in Hilton Head Island, South Carolina, United States. The school serves students on the island in addition to some students living in Bluffton through the Beaufort County School District "school choice program".

Beaufort County School District
Beaufort County School District (BCSD) is a public school district in Beaufort County, South Carolina, United States. The school district is led by Superintendent Dr. Frank Rodriguez, who began the role in July 2019. The district is governed by an eleven-member board of education of elected members who represent the electoral district in which they live and serve.

The majority of the district's schools are accredited with the Southern Association of Colleges and Schools.
2015 IIHF Inline Hockey World Championship Division I
The 2015 IIHF Inline Hockey World Championship Division I was an international inline hockey tournament run by the International Ice Hockey Federation. The Division I tournament ran alongside the 2015 IIHF Inline Hockey World Championship and took place between 5 and 11 July 2015 in Tampere, Finland. The tournament was won by Croatia who upon winning gained promotion to the 2017 IIHF Inline Hockey World Championship. While Austria and Bulgaria were relegated to the European Qualification after losing their placement round games along with Latvia who lost the relegation game against Hungary.

2014 IIHF Inline Hockey World Championship
The 2014 IIHF Inline Hockey World Championship was the 19th IIHF Inline Hockey World Championship, an international inline hockey tournament run by the International Ice Hockey Federation. The World Championship ran alongside the 2014 IIHF Inline Hockey World Championship Division I tournament and took place between 1 and 7 June 2014 in Pardubice, Czech Republic. The tournament was won by the Finland, earning their fourth World Championship title. Canada finished in second place and the United States in third after defeating Sweden in the bronze medal match. Great Britain, after losing the relegation game against Slovakia was relegated to Division I for 2015.
Fish paste
Fish paste is fish which has been chemically broken down by a fermentation process until it reaches the consistency of a soft creamy purée or paste. Alternately, it refers to cooked fish that has been physically broken down by pounding, grinding, pressing, mincing, blending, and/or sieving until it reaches paste consistency. The term can be applied also to shellfish pastes, such as shrimp paste or crab paste.

Fish paste is used as a condiment or seasoning to add flavour to food, or in some cases to complement a dish. Generally, fish paste is reduced to a thick, rich concentrate, which has usually been cooked for a long time. It can be contrasted with fish sauce, which is like a fish paste except it is not cooked for so long, is a thick liquid rather than a concentrated paste, and may include seasonings and other flavorings.

Fish sauce
Fish sauce is a liquid condiment made from fish or krill that have been coated in salt and fermented for up to two years.: 234  It is used as a staple seasoning in East Asian cuisine and Southeast Asian cuisine, particularly Myanmar, Cambodia, Laos, Philippines, Thailand, and Vietnam. Some garum-related fish sauces have been used in the West since the Roman times.

Due to its ability to add a savory umami flavor to dishes, it has been embraced globally by chefs and home cooks. The umami flavor in fish sauce is due to its glutamate content.

Fish sauce is used as a seasoning during or after cooking, and as a base in dipping sauces. Soy sauce is regarded by some in the West as a vegetarian alternative to fish sauce though they are very different in flavor.: 234
Alfalfa County, Oklahoma
Alfalfa County is a county located in the U.S. state of Oklahoma. As of the 2020 census, the population was 5,699.  The county seat is Cherokee.

Alfalfa County was formed at statehood in 1907 from Woods County. The county is named after both the alfalfa crops grown there and William H. "Alfalfa Bill" Murray, the president of the Oklahoma Constitutional Convention and ninth governor of Oklahoma. He was instrumental creating the county from the original, much larger Woods County.

Woods County, Oklahoma
Woods County is a county located in the northwestern part of the U.S. state of Oklahoma. As of the 2020 census, the population was 8,624. Its county seat is Alva. The county is named after Samuel Newitt Wood, a renowned Kansas populist.
Basmane railway station
Basmane railway station (Turkish: Basmane Garı) is an intercity and regional railway terminal and rapid transit station in İzmir, Turkey. Along with Alsancak station, Basmane is one of two railway terminals in the city. All TCDD Taşımacılık trains terminate at this station, with intercity service to Ankara, Bandırma and Konya as well as regional service to Denizli, Söke, Tire and Ödemiş. The name originated from the Turkish phrase Basma hane.

TCDD Transport
TCDD Transport or Turkish State Railways Transport (Turkish: TCDD Taşımacılık, reporting mark TCDDT) is a government-owned railway company responsible for the operations of most passenger and freight rail in Turkey. The company was formed on 14 June 2016, splitting off from Turkish State Railways (TCDD) to take over railway operations, while TCDD would continue to administer railway infrastructure. TCDD Taşımacılık officially began operations on 1 January 2017.

TCDD Taşımacılık operates trains on a network of over 12,430 km (7,720 mi) within 59 of the 81 provinces in Turkey.
Aydon Castle
Aydon Castle, previously sometimes called Aydon Hall, is a fortified manor house at Aydon near to the town of Corbridge, Northumberland, England. It is a Scheduled Ancient Monument, and is designated by English Heritage as a Grade I listed building.

Aydon
Aydon is a village and former civil parish, now in the parish of Corbridge, in Northumberland, England. It is about 2 miles (3 km) northeast of Corbridge on the B6321 road. The village is about 18 miles (29 km) from Newcastle upon Tyne along the main A69 road. The A68 road is close by, leading to Jedburgh and Darlington. Aydon lies near the course of the ancient Roman monument, Hadrian's Wall. In 1951 the parish had a population of 90.
Bosphorus Art Project
Bosphorus Art Project is a non-profit organization established in Arizona, USA. It was founded in 2003 by a group of Turks and Turkish students living in Arizona, USA with the goal of introducing Turkish culture, history, arts and literature to Americans and help build connections between the two countries. After a year, they incorporated the organization in 2004. From their inception onwards, the organization received support from internationally recognized Turkish actress and director Seda Egridere who was among the founders of the organization and Turkish novelist Elif Şafak who has been an official contributor from the beginning.

Seda Eğridere
Seda Eğridere (born March 16, 1982) is a Turkish actress and film director. Eğridere acted in Alina, the Turkish Assassin. In an interview with Hurriyet, Bobby Roth said "I accepted the project and agreed to shoot in Turkey only because I trusted Seda." In 2014, Eğridere made her directorial debut with the wartime drama Seasons of War, a story about a multi-ethnic couple during the Siege of Sarajevo.
Uberabatitan
Uberabatitan (meaning "Uberaba titan", in reference to where it was found) is a genus of titanosaurian sauropod dinosaur from the Late Cretaceous of Brazil. It is known from bones including neck, back, and tail vertebrae, pelvic bones, and limb bones. These fossils were found in the uppermost portion of the Maastrichtian-age Serra da Galga Formation of the Bauru Group, in Uberaba, Minas Gerais. The type species, described by Salgado and Carvalho in 2008, is U. ribeiroi. To date, it is the most recent titanosaur from Bauru Group rocks; other titanosaurs from the Bauru Group, including Baurutitan and Trigonosaurus, come from lower (thus older) levels.

Uberaba
Uberaba (Portuguese pronunciation: [ubeˈɾabɐ]) is a municipality in the state of Minas Gerais, Brazil. It is located in the Brazilian Highlands at an elevation of 823 metres (2,700 ft) above sea level on the Uberaba River, and is situated 418 kilometres (260 mi) from the state capital, Belo Horizonte. The city was granted its status in 1856 and derives its name from the Tupi language, meaning "bright water". As of 2022, the population was 337,836 inhabitants, making it the 7th-most populous city in Minas Gerais.
Flexor hallucis longus muscle
The flexor hallucis longus muscle (FHL) attaches to the plantar surface of phalanx of the great toe and is responsible for flexing that toe.  The FHL is one of the three deep muscles of the posterior compartment of the leg, the others being the flexor digitorum longus and the tibialis posterior.  The tibialis posterior is the most powerful of these deep muscles. All three muscles are innervated by the tibial nerve which comprises half of the sciatic nerve.

Toe
Toes are the digits of the foot of a tetrapod. Animal species such as cats that walk on their toes are described as being digitigrade. Humans, and other animals that walk on the soles of their feet, are described as being plantigrade; unguligrade animals are those that walk on hooves at the tips of their toes.
Vinette Robinson
Vinette Robinson (born 1981) is a British actress. She won a British Independent Film Award for her performance in the film Boiling Point (2021), a role she reprised in its spinoff series. On television, she is known for her roles in the BBC One series Waterloo Road (2009), Sherlock (2010–2014) and The A Word (2016–2017). She also guest starred in Black Mirror (2015) and as civil rights campaigner Rosa Parks in the Doctor Who episode "Rosa" (2018).

Boiling Point (2021 film)
Boiling Point is a 2021 British drama film directed by Philip Barantini and written by Barantini and James Cummings, based on a 2019 short film of the same name. It stars Stephen Graham, Vinette Robinson, Ray Panthaki, and Hannah Walters. It is a one-shot film set in a restaurant kitchen. The film premiered at the 55th Karlovy Vary International Film Festival on 23 August 2021, and in cinemas in the  United Kingdom on 7 January 2022, met with critical acclaim. At the 75th British Academy Film Awards, the film received four nominations, including for Outstanding British Film and Outstanding Debut by a British Writer, Director or Producer.

A continuation TV series, with Graham, Robinson, Walters, Panthaki and several other supporting cast members reprising their roles, aired on BBC One from 1 October 2023.
Nestoras
Nestoras (Greek: Δήμος Νέστορος) is a former municipality in Messenia, Peloponnese, Greece. Since the 2011 local government reform it is part of the municipality Pylos-Nestor, of which it is a municipal unit. The municipal unit has an area of 91.902 km2. Population 3,765 (2021). The seat of the municipality was in Chora.

Pylos-Nestoras
Pylos-Nestoras (Greek: Δήμος Πύλου - Νέστορος) is a municipality in the Messenia regional unit, Peloponnese, Greece. The seat of the municipality is the town Pylos. The municipality has an area of 554.265 km2.