hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Feuerbach point
In the geometry of triangles, the incircle and nine-point circle of a non-equilateral triangle are internally tangent to each other at the Feuerbach point of the triangle. The Feuerbach point is a triangle center, meaning that its definition does not depend on the placement and scale of the triangle. It is listed as X(11) in Clark Kimberling's  Encyclopedia of Triangle Centers, and is named after Karl Wilhelm Feuerbach.

Feuerbach's theorem, published by Feuerbach in 1822, states more generally that the nine-point circle is tangent to the three excircles of the triangle as well as its incircle. A very short proof of this theorem based on Casey's theorem on the bitangents of four circles tangent to a fifth circle was published by John Casey in 1866; Feuerbach's theorem has also been used as a test case for automated theorem proving. The three points of tangency with the excircles form the Feuerbach triangle of the given triangle.

Medial triangle
In Euclidean geometry, the medial triangle or midpoint triangle of a triangle △ABC is the triangle with vertices at the midpoints of the triangle's sides AB, AC, BC. It is the n = 3 case of the midpoint polygon of a polygon with n sides.  The medial triangle is not the same thing as the median triangle, which is the triangle whose sides have the same lengths as the medians of △ABC.

Each side of the medial triangle is called a midsegment (or midline). In general, a midsegment of a triangle is a line segment which joins the midpoints of two sides of the triangle. It is parallel to the third side and has a length  equal to half the length of the third side.
JA Industries
JA Industries was an American firearms manufacturer based in Henderson, Nevada.

The company's origins trace to 1978, with the formation of Jennings Firearms. This company eventually filed bankruptcy and subsequently reorganized as Bryco Arms. Bryco filed bankruptcy in 2003 and was subsequently purchased by Paul Jimenez, who established Jimenez Arms in August 2004. Jimenez Arms filed for Chapter 7 bankruptcy in February 2020, after which its assets were transferred to a new company (also owned by Jimenez), JA Industries, which resumed operations.

All firearms manufactured by JA Industries are constructed of injection-molded Zamak, a zinc alloy.

The  Bureau of Alcohol, Tobacco, Firearms and Explosives (ATF) revoked the federal firearms license (FFL) of JA Industries in April 2022. Everytown purchased all unsold Jimenez Firearms in auction upon the company's liquidation and claims to have destroyed all the firearms.

Federal firearms license
A federal firearms license (FFL) is a license in the United States that enables an individual or a company to engage in a business pertaining to the manufacture or importation of firearms and ammunition, or the interstate and intrastate sale of firearms. Holding an FFL to engage in certain such activities has been a legal requirement within the United States since the enactment of the Gun Control Act of 1968. The FFL is issued by the Bureau of Alcohol, Tobacco, Firearms, and Explosives (BATFE, commonly shortened to ATF).
Divis
Divis (/ˈdɪvɪs/; from Irish  Dubhais 'black ridge') is a hill and area of sprawling moorland north-west of Belfast in County Antrim, Northern Ireland. With a height of 1,568 ft (478 m), it is the highest of the Belfast Hills. It is joined with the neighbouring Black Mountain, and in the past they may have been seen as one. Divis transmitting station is on the summit.

The mountain extends north to the Antrim Plateau and shares its geology; consisting of a basaltic cover underlain by limestone and lias clay.

In 2004 the Divis area and its surrounding mountains were handed over to the National Trust; having been under the control of the Ministry of Defence since 1953.

Since then four walking trails have been developed, of varying lengths and taking walkers to differents points of interest: these are the Lough, Summit, Heath and Ridge trails.

Early Jurassic
The Early Jurassic Epoch (in chronostratigraphy corresponding to the Lower Jurassic Series) is the earliest of three epochs of the Jurassic Period. The Early Jurassic starts immediately after the Triassic–Jurassic extinction event, 201.3 Ma (million years ago), and ends at the start of the Middle Jurassic 174.7 ±0.8 Ma.

Certain rocks of marine origin of this age in Europe are called "Lias" and that name was used for the period, as well, in 19th-century geology. In southern Germany rocks of this age are called Black Jurassic.
Vekh Baraatan Challiyan
Vekh Baraatan Challiyan is a 2017 Indian romantic comedy film directed by Ksshitij Chaudhary and written by Naresh Kathooria. Its principal cast includes Binnu Dhillon, Ranjit Bawa, Kavita Kaushik, Jaswinder Bhalla, and Karamjit Anmol. The film was produced by Karaj Gill, Amiek Virk & Jaspal Singh Sandhu. It was released worldwide on 28 July 2017 and turned out to be a superhit.

Karaj Gill
Karaj Gill is an Indian film producer who makes Punjabi-language films and music. He owns a production house and distribution company Rhythm Boyz Entertainment. Gill began producing films in 2015, with a historical romance film Angrej. He has been nominated for six Filmfare Punjabi Awards, winning two for Bambukat (2016) and Lahoriye (2017), among other accolades.
Donegal Castle
54°39′18″N 8°06′40″W﻿ / ﻿54.655°N 8.111°W﻿ / 54.655; -8.111

Donegal Castle (Irish: Caisleán Dhún na nGall) is a castle situated in the centre of Donegal Town in County Donegal in Ulster, the northern province in Ireland. The castle was the stronghold of the O'Donnell clan, Lords of Tír Conaill and one of the most powerful Gaelic families in Ireland from the 5th to the 16th centuries. For most of the last two centuries, the majority of the buildings lay in ruins but the castle was almost fully restored in the early 1990s. It is now open to the public.

County Fermanagh
County Fermanagh (/fərˈmænə/, fər-MAN-ə; from Irish Fir Manach / Fear Manach, meaning 'men of Manach') is one of the six counties of Northern Ireland, one of the nine counties of Ulster and one of the traditional thirty-two counties of Ireland.

The county covers an area of 1,691 km2 (653 sq mi) and had a population of 63,585 as of 2021. Enniskillen is the county town and largest in both size and population.

Fermanagh is one of four counties of Northern Ireland to have a majority of its population from a Catholic background, according to the 2011 census.
Tveir á báti
Tveir á báti (English: lit. Two on a Boat, play of words lost in translation) is an Icelandic television series that first aired on Icelandic public television channel Sjónvarpið in December 1992. The series is a part of  Jóladagatal Sjónvarpsins, an ongoing series of televised Advent calendars. It was written by Kristín Atladóttir, an assistant producer at Sjónvarpið at the time.

The show follows Séra Jón, played by Gísli Halldórsson, who gets stranded in the middle of the ocean in early December after his boat runs out of fuel, and his encounters with an anthropomorphic polar bear, played by Kjartan Bjargmundsson. Among other players is Steinn Ármann Magnússon.

Tveir á báti was rerun on Sjónvarpið in December 2000.

A physical advent calendar containing leads to each episode's plot was published in conjunction with the initial airing of the series.

Advent calendar
An Advent calendar, from the German word Adventskalender, is used to count the days of Advent in anticipation of Christmas. Since the date of the First Sunday of Advent varies, falling between November 27 and December 3 inclusive, many reusable Advent calendars made of paper or wood begin on December 1. Others start from the First Sunday of Advent.

The Advent calendar was first used by German Lutherans in the 19th and 20th centuries, and has since then spread to other denominations.
Hostile Kirk Place
"Hostile Kirk Place" is the sixteenth episode of the thirty-fourth season of the American animated television series The Simpsons, and the 744th episode overall. It aired in the United States on Fox on March 12, 2023. The episode was directed by Steven Dean Moore and written by Michael Price.

In this episode, when Kirk Van Houten learns that his ancestor caused a town disaster, he demands that students stop learning about it. The episode received mixed reviews.

Springfield (The Simpsons)
Springfield is the primary fictional setting of the American animated sitcom The Simpsons and related media. It is an average-sized, fictional city in an unknown state in the United States. The city's geography, surroundings, and layout are flexible, often changing to accommodate the plot of any given episode.

Springfield was inspired by a number of real-life locations, including creator Matt Groening's hometown of Portland, Oregon, the nearby town of Springfield, Oregon, and producer Mike Scully's hometown of Springfield, Massachusetts. However, in order to emphasize it as an example of "Anytown, USA", the location of the fictional Springfield remains a mystery. "Clues" regarding Springfield's climate, geology, distance from real cities, or political alignment, which are found in numerous episodes of the series, are intentionally contradictory.

In November 2025, an island version of Springfield was the main map for the Fortnite x Simpsons crossover mini season.
Piotr Banasiak
Piotr Banasiak (born 19 July 1987), nicknamed Banan, is a Polish footballer who plays as a goalkeeper for III liga club Ząbkovia Ząbki.

Having been born and raised in Radom, he spent over twelve years playing professionally for his hometown club Radomiak Radom, making him a club legend.

He semi-retired in 2017, and stated his intention to join the traditional workforce.

His brother Michał was also a former goalkeeper, although only semi-professional and amateur levels.

Radomiak Radom
Radomiak Spółka Akcyjna (Radomiak S.A.), commonly known as Radomiak Radom, is a Polish football club based in Radom, Poland. The club was founded in 1910 and competes in Ekstraklasa, the top level of Polish football. They play their home matches at the Stadion im. Braci Czachorów.
Charl du Plessis (rugby union)
Charl Francois 'KP' du Plessis (born 8 April 1987) is a former South African professional rugby union player that played domestically for the Golden Lions, Falcons, Boland Cavaliers and the Eastern Province Kings and also played Super Rugby with the Southern Kings, making a total of 81 first class appearances between 2008 and 2014. His regular position was prop.

Griffons (rugby union)
The Griffons, currently known as the Novavit Griffons for sponsorship reasons, are a South African rugby union team that participates in the annual Currie Cup and SA Cup tournaments. They play out of Welkom at North West Stadium, and draw players from roughly the eastern third of Free State Province (the remainder of the province comprises the territory of the Free State Cheetahs).
Carroll County, Mississippi
Carroll County is a county in the U.S. state of Mississippi. As of the 2020 census, the population was 9,998. Its county seats are Carrollton and Vaiden. The county is named for Charles Carroll of Carrollton, the last surviving signatory of the Declaration of Independence.

Carroll County is part of the Greenwood, Micropolitan Statistical Area. Bordered by the Yazoo River on the west and the Big Black River to the east, it is considered to lie within the Mississippi Delta region. Most of its land, however, is in the hill country.

The county is referred to in the third verse of Bobbie Gentry's 1967 hit song, "Ode to Billie Joe".

Bobbie Gentry
Bobbie Gentry (born Roberta Lee Streeter, July 27, 1942) is an American retired singer-songwriter. She was one of the first female artists in the United States to compose and produce their own material.

Gentry rose to international fame in 1967 with her Southern Gothic narrative "Ode to Billie Joe". The track spent four weeks at number one on the Billboard Hot 100 chart and was third in the Billboard year-end chart of 1967, earning Gentry the Grammy Awards for Best New Artist and Best Female Pop Vocal Performance in 1968.

Gentry charted 11 singles on the Billboard Hot 100 and four singles on the United Kingdom top 40. Her album Fancy brought her a Grammy nomination for Best Female Pop Vocal Performance. After her first albums, she had a successful run of variety shows in Las Vegas. In the late 1970s, Gentry lost interest in performing and retired from the music industry.
Erie–Ottawa International Airport
Erie–Ottawa International Airport, (Carl R. Keller Field) (ICAO: KPCW, FAA LID: PCW) is three miles east of Port Clinton, in Ottawa County, Ohio. It is owned by the Erie–Ottawa Airport Authority. The National Plan of Integrated Airport Systems for 2011–2015 categorized it as a general aviation facility.
On November 9, 2013, Erie–Ottawa Airport obtained approval to handle international flights.

Most U.S. airports use the same three-letter location identifier for the FAA and IATA, this airport’s IATA code is KPCW.

The airport has a US customs office, allowing it to accept inbound international flights.

The airport is the base for a number of local businesses that operate in the surrounding areas.

Port Clinton, Ohio
Port Clinton is a city in and the county seat of Ottawa County, Ohio, United States, located at the mouth of the Portage River on Lake Erie. The population was 6,025 at the 2020 census. It is the principal city of the Port Clinton micropolitan area, about 34 miles (55 km) southeast of Toledo.

The city has been nicknamed the "Walleye Capital of the World", due to the productive fishing waters for the species lying offshore in Lake Erie's Western Basin. The annual Walleye Drop on New Year's Eve in downtown Port Clinton reflects this nickname.
Tálín
Tálín (German: Talin) is a municipality and village in Písek District in the South Bohemian Region of the Czech Republic. It has about 200 inhabitants.

Tálín lies approximately 9 kilometres (6 mi) south-east of Písek, 36 km (22 mi) north-west of České Budějovice, and 95 km (59 mi) south of Prague.

České Budějovice
České Budějovice (Czech: [ˈtʃɛskɛː ˈbuɟɛjovɪtsɛ] ⓘ; German: Budweis) is a city in the South Bohemian Region of the Czech Republic. It has about 97,000 inhabitants. The city is located in the valley of the Vltava River, at its confluence with the Malše.

České Budějovice is the largest city in the region and its political and commercial capital, the seat of the Diocese of České Budějovice and the University of South Bohemia. It is famous for the Budweiser Budvar Brewery. The historic city centre is well preserved and is protected as an urban monument reservation.
MS Toyvo Antikaynen
Toyvo Antikaynen (Russian: Тойво Антикайнен) was a merchant ship of Black Sea Shipping Company (Soviet Union), tweendecker type general cargo ship, project B401. This ship is one of the Kommunist-class cargo ships. The ship was named in honor of the Finnish communist leader and the Red Army officer Toivo Antikainen.

Only two ships of Kommunist-class cargo ships had additional figure in the built number (shipyard number). These were Djuzeppe di Vittorio (number B40/101 - B40/91) and Toyvo Antikaynen (number B40/102 - B40/92). Can be it was due to this two ships were built by another shipyard in Poland, and other Kommunist class cargo ships.

Tweendecker
Tweendeckers are general cargo ships with two or sometimes three decks. The upper deck is called the main deck or weather deck, and the next lower deck is the tweendeck. Cargo such as bales, bags, or drums can be stacked in the tweendeck space, atop the tweendeck. Beneath the tweendeck is the hold space, used for general cargo.
Cargo ships that have fittings to carry standard shipping containers and retractable tweendecks (that can be moved out of the way) so that the ship can carry bulk cargo are known as multipurpose vessels.
Kate Woods (field hockey)
Kate Woods (née Hector, born 11 October 1981) is a South African field hockey player.

Woods was born Kate Hector on 11 October 1981 in Johannesburg, Gauteng.  She attended Durban Girls' College. She was a member of the national squad that finished 9th at the 2004 Summer Olympics in Athens. The midfielder's hometown is Cape Town, and she is nicknamed KT. She plays for a provincial team based in Western Province.

At the 2012 Summer Olympics she competed with the South Africa women's national field hockey team in the women's tournament.

She is married to water polo player Duncan Woods. Her brother is first-class cricketer Benjamin Hector.

Field hockey at the 2012 Summer Olympics – Women's tournament
The women's field hockey tournament at the 2012 Summer Olympics was the 9th edition of the field hockey event for women at the Summer Olympic Games. It was held over a thirteen-day period beginning on 29 July, and culminating with the medal finals on 10 August. All games were played at the Riverbank Arena within the Olympic Park in London, United Kingdom.

Defending champions the Netherlands won the gold medal for the third time after defeating Argentina 2–0 in the final. Great Britain won the bronze medal by defeating New Zealand 3–1.
Nguetchewe attack
Between August 1 and 2, 2020, militants from Boko Haram attacked an IDP camp in the Guirbala neighborhood of Nguetchewe, Far North Region, Cameroon. Seventeen civilians were killed in the attack, and two child suicide bombers from Boko Haram helped conduct the attack.

Far North Region (Cameroon)
The Far North Region, also known as the Extreme North Region (from French: Région de l'Extrême-Nord.) (Fulfulde : woilare  ), is the northernmost and most populous constituent province of the Republic of Cameroon. It borders the North Region to the south, Chad to the east, and Nigeria to the west. The capital is Maroua.

The province is one of Cameroon's most culturally diverse. Over 50 different ethnic groups populate the area, including the Shuwa Arabs, Fulani, and Kapsiki. Most inhabitants speak the Fulani language Fulfulde, Chadian Arabic, and French.
La Salsa
La Salsa is a chain of fast-casual Tex Mex restaurants founded in Los Angeles, California in 1979, headquartered in Scottsdale, Arizona and is owned by Canadian franchisor MTY Food Group.  The chain emphasizes fresh ingredients, and each restaurant features a self-serve salsa bar.

La Salsa has been closely associated with its sister company Baja Fresh, which purchased the company from CKE Restaurants in 2007. Since then, the companies have shared their corporate headquarters.

In 2016, MTY acquired La Salsa with its sister company Baja Fresh and is current being managed by MTYs Kahala Brands division. At the time of the acquisition, the chain operated 23 restaurants in the United States, most of which are franchised.

Under MTY, the number of locations has since dwindled down to five locations by August 2024.

Tex-Mex
Tex-Mex cuisine (derived from the words Texas and Mexico) is a regional American cuisine that originates from the culinary creations of Tejano people inspired in Mexican culinary traditions. It has spread from border states such as Texas and others in the Southwestern United States to the rest of the country. It is a subtype of Southwestern cuisine found in the American Southwest.
Évry Cathedral
Évry Cathedral (French: Cathédrale de la Résurrection d'Évry; "Évry Cathedral of the Resurrection") is a Roman Catholic church located in the new town of Évry, Essonne, France. The cathedral was designed by Swiss architect Mario Botta. It opened in 1995 and was consecrated and dedicated to Saint Corbinian in 1996. It is the only cathedral begun and completed in France in the 20th century.

Corbinian
Saint Corbinian (Latin: Corbinianus; French: Corbinien; German: Korbinian; c. 670 – 8 September c. 730) was a Frankish bishop. After living as a hermit near Chartres for fourteen years, he made a pilgrimage to Rome. Pope Gregory II sent him to Bavaria. His opposition to the marriage of Duke Grimoald of Bavaria to his brother's widow, Biltrudis, caused Corbinian to go into exile for a time. His feast day is 8 September. The commemoration of the translation of his relics is on 20 November.
International Journal of Mobile and Blended Learning
The International Journal of Mobile and Blended Learning is a quarterly peer-reviewed academic journal which focuses on educational technology, specifically on theoretical, technical, and pedagogical aspects of learning in mobile and blended environments. It is the official journal of the International Association for Mobile Learning and is published on their behalf by IGI Global. The journal was established in 2009 by David Parsons (Massey University), who remains the editor-in-chief. Annual collections of papers from the journal are published as a series of edited books.

Educational technology
Educational technology (commonly abbreviated as edutech or edtech) refers to the use of computer hardware, software, and educational theory and practice to facilitate learning and teaching. When referred to with its abbreviation, "EdTech", it often refers to the industry of companies that create educational technology. Scholars such as Tanner Mirrlees and Shahid Alvi (2019) have described the edtech industry as consisting largely of privately owned companies involved in producing and distributing educational technologies for commercial purposes.

In addition to the practical educational experience, educational technology is based on theoretical knowledge from various disciplines such as communication, education, psychology, sociology, artificial intelligence, and computer science. It encompasses several domains, including learning theory, computer-based training, online learning, and mobile learning (m-learning).
McAuliffe (surname)
McAuliffe or MacAuliffe is a surname of Norse Irish origin. The name is an Anglicisation of the Gaelic Mac Amhlaoibh, meaning "son of Amhlaoibh". The Gaelic name, Amhlaoibh, was derived from the Old Norse personal name Olaf. The surname occurs frequently in Munster, especially northern County Cork, western County Limerick, and eastern County Kerry. The McAuliffes were a sept, related to the McCarthys.

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.
Tobacco and art
Depictions of tobacco smoking in art date back at least to the pre-Columbian Maya civilization, where smoking had religious significance. The motif occurred frequently in painting of the 17th-century Dutch Golden Age, in which people of lower social class were often shown smoking pipes. In European art of the 18th and 19th centuries, the social location of people – largely men – shown as smoking tended to vary, but the stigma attached to women who adopted the habit was reflected in some artworks. Art of the 20th century often used the cigar as a status symbol, and parodied images from tobacco advertising, especially of women. Developing health concerns around tobacco smoking also influenced its artistic representation.

Religious views on smoking
Religious views on smoking vary widely. Indigenous peoples of the Americas have traditionally used tobacco for religious purposes, while Abrahamic and other religions have only been introduced to the practice in recent times due to the European colonization of the Americas in the 16th century.