hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Parallelogram law
In mathematics, the simplest form of the parallelogram law (also called the parallelogram identity) belongs to elementary geometry.  It states that the sum of the squares of the lengths of the four sides of a parallelogram equals the sum of the squares of the lengths of the two diagonals. We use these notations for the sides: AB, BC, CD, DA.  But since in Euclidean geometry a parallelogram necessarily has opposite sides equal, that is, AB = CD and BC = DA, the law can be stated as

If the parallelogram is a rectangle, the two diagonals are of equal lengths AC = BD, so

and the statement reduces to the Pythagorean theorem. For the general quadrilateral (with four sides not necessarily equal) Euler's quadrilateral theorem states

where  is the length of the line segment joining the midpoints of the diagonals.  It can be seen from the diagram that  for a parallelogram, and so the general formula simplifies to the parallelogram law.

Quadrilateral
In  geometry  a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words quadri, a variant of four, and latus, meaning "side". It is also called a tetragon, derived from Greek "tetra" meaning "four" and "gon" meaning "corner" or "angle", in analogy to other polygons (e.g. pentagon). Since "gon" means "angle", it is analogously called a quadrangle, or 4-angle. A quadrilateral with vertices , ,  and  is sometimes denoted as .

Quadrilaterals are either simple (not self-intersecting), or complex (self-intersecting, or crossed). Simple quadrilaterals are either convex or concave.

The interior angles of a simple (and planar) quadrilateral ABCD add up to 360 degrees, that is

This is a special case of the n-gon interior angle sum formula: S = (n − 2) × 180° (here, n=4).

All non-self-crossing quadrilaterals tile the plane, by repeated rotation around the midpoints of their edges.
Eula, Texas
Eula is an unincorporated community in Callahan County, Texas, United States. According to the Handbook of Texas, the community had a population of 125 in 2000. It is part of the Abilene, Texas Metropolitan Statistical Area.

Abilene metropolitan area
The Abilene metropolitan statistical area is a metropolitan statistical area in west-central Texas that covers three counties—Taylor, Jones, and Callahan. As of the 2020 census, the MSA had a population of 176,579.
Yuyu language
Yuyu (Yirau) is an extinct language or dialect cluster of southern South Australia. Walsh treats Yuyu as a language with Ngawait, Erawirung, Ngintait, and Ngarkat as dialects; Berndt and Berndt (1993) list those as dialects related to Yuyu.

Ngintait
The Ngintait, or Ngindadj, are an Australian Aboriginal peoples of the northwest corner of the state of Victoria, and partly in South Australia. Nine people, all of one family, claim descent from the tribe, which was dispersed in the 19th century.
Fit for Flogging
Fit for Flogging is a 1993 album by the Danish musical project Leæther Strip, released on Cleopatra Records. Together with Penetrate the Satanic Citizen it bundles most of Leæther Strip's releases prior to Solitary Confinement.

Leæther Strip
Leæther Strip is a Danish musical project founded on 13 January 1988 by Claus Larsen. Its influence has been most felt in the electronic body music and electro-industrial genres. Leæther Strip was one of the earliest and most prominent acts on Germany's now defunct Zoth Ommog record label. For distribution outside of Europe, the music has been licensed to the U.S. labels Cleopatra Records and Metropolis Records. After the demise of Zoth Ommog in 1999, Larsen signed to Bloodline Records, which only released a single before also going out of business. In 2005, Leæther Strip signed with the Belgian-based label Alfa Matrix.  On 3 June 2011 Larsen announced his split from Alfa Matrix in order to self-release future material.
Cal 39
The Cal 39 is an American sailboat that was designed by C. William Lapworth as a racer-cruiser and first built in 1970. The boat was introduced just before the adoption of the International Offshore Rule (IOR) for racing and, as a consequence of not meeting that rule, saw low sales numbers. It was not in production long and was replaced by the Cal 39 Mark II.

Bill Lapworth
Charles William Lapworth (12 December 1919 – 3 April 2006) was an American naval architect who designed a large number of sailboats, many of them for Cal Yachts. He was active as a designer from the early 1950s until the 1980s. Described as "one of the foremost West Coast naval architects in the post-World War II period", he has been nominated to the US National Sailing Hall of Fame.
Commission on Federal Ethics Law Reform
Commission on Federal Ethics Law Reform was a commission established by President George H. W. Bush in Executive Order 12668 to review federal ethics laws, executive orders, and policies and to make recommendations to the president for legislative, administrative, and other reforms needed to ensure full public confidence in the integrity of all federal public officials and employees.

Committee members:

Malcolm Richard Wilkey—Chairman

Griffin B. Bell—Vice Chairman

Jan Witold Baran

Judith Hippler Bello

Lloyd N. Cutler

Fred Fisher Fielding

Harrison H. Schmitt

R. James Woolsey

Fred F. Fielding
Fred Fisher Fielding (born March 21, 1939) is an American lawyer. He held the office of White House Counsel for US Presidents Ronald Reagan and George W. Bush in addition to serving as an associate and deputy White House counsel for Richard Nixon under John Dean. Fielding was also counsel to the first presidential transition of Donald Trump and a member of the 9/11 Commission. An alumnus of Gettysburg College, he is the namesake of that school's Fielding Center for Presidential Leadership Study.
Umpqua, Oregon
Umpqua is an unincorporated community in Douglas County, in the U.S. state of Oregon. The population was 112 at the 2000 census.

The community lies west of Sutherlin at the confluence of Calapooya Creek with the Umpqua River.

The word "Umpqua" was first used by the local Native Americans to refer to the locality around the Umpqua River and came to be applied to the river as well.

Calapooya Creek
Calapooya Creek is a tributary, about 37 miles (60 km) long, of the Umpqua River in Douglas County in the U.S. state of Oregon. Formed by its north and south forks, the creek drains a mountainous region south of the Calapooya Divide and east of Oakland and Sutherlin.

From its source, the creek flows generally southwest through or near Nonpareil and Oakland. Near Oakland it passes under Oregon Route 99 and Interstate 5 and further downstream Oregon Route 138 before entering the river at the rural community of Umpqua.
2023 Grand National
The 2023 Grand National (officially known as the Randox 2023 Grand National for sponsorship reasons) was the 175th annual running of the Grand National horse race. It took place on Saturday 15 April 2023, at Aintree Racecourse near Liverpool, England. The event was sponsored by Randox Health with Natasha Jonas acting as ambassador.

The race was won by Corach Rambler who was trained by Lucinda Russell in Scotland and ridden by Irish jockey Derek Fox, who had both previously won the Grand National in 2017 with One For Arthur.

The race start was delayed by 14 minutes, following protests by campaign group Animal Rising, the first such disruptions since the cancellation of the 1993 Grand National due to a series of false starts and the 1997 Grand National due to the IRA bomb threat. Merseyside Police made 118 arrests, for both "criminal damage and public nuisance offences".

Corach Rambler
Corach Rambler (foaled 10 April 2014) is a former Irish-bred thoroughbred racehorse who competed in National Hunt racing and won the 2023 Grand National, as well as consecutive runnings of the Ultima Handicap at the Cheltenham Festival in 2022 and 2023. He was trained by Lucinda Russell at Kinross in Scotland and ridden in by Derek Fox in all his races under rules.
Slo Sco:The Best of the Ballads
Slo Sco: The Best of the Ballads is a compilation album by jazz guitarist John Scofield. The tracks on this album have been taken from previously released albums on  Gramavision Records from 1984 until 1989.

John Scofield
John Scofield (born December 26, 1951) is an American guitarist and composer. His music blends jazz, jazz fusion, funk, blues, soul and rock. He first came to mainstream attention as part of the band of Miles Davis.

He has been nominated for nine Grammy awards and won three.  He was also awarded the French Ordre des Arts et des Lettres.

He has toured and recorded with jazz saxophonists Eddie Harris, Dave Liebman, Joe Henderson, and Joe Lovano; keyboardists George Duke, Joey DeFrancesco, Herbie Hancock, Larry Goldings, and Robert Glasper; fellow guitarists Pat Metheny, John Abercrombie, Pat Martino, and Bill Frisell; bassists Marc Johnson and Jaco Pastorius; and drummers Jack DeJohnette, Billy Cobham, and Dennis Chambers. Outside the world of jazz, he has collaborated with Phil Lesh, Mavis Staples, John Mayer, Medeski Martin & Wood, and Gov't Mule.
Syd Stirling
Sydney James Stirling AM (born 16 December 1951) is a former Australian politician. He was the Labor member for Nhulunbuy in the Northern Territory Legislative Assembly from 1990 to 2008.

Stirling was born in Kyneton, Victoria, and worked as a teacher before his election to parliament. He challenged for the Labor leadership twice, but was easily defeated. In 1999 he was elected Deputy Leader to Clare Martin, and served as Deputy Chief Minister following the ALP's election win in 2001. He resigned along with Martin in November 2007, and retired at the 2008 election.  He has served as president of the Northern Territory division of the Labor Party.

Stirling was appointed a Member of the Order of Australia in the 2021 Queen's Birthday Honours, for "significant service to the Legislative Assembly of the Northern Territory, and to the community".

Kyneton
Kyneton (/ˈkaɪntən/ KYNE-tən) is a town in the Macedon Ranges region of central Victoria, Australia.  The Calder Freeway bypasses Kyneton to the north and east.

The town has three main streets: Mollison Street, Piper Street and High Street. Piper Street has the oldest streetscape of these, and still has many of its original buildings.  The railway station, about 86 kilometres (53 mi) from Melbourne on the Deniliquin railway line, is a terminus for two weekday peak-hour trains.  The town is the council seat of the Shire of Macedon Ranges.  At the 2021 census, Kyneton recorded a population of 7,513.
Chwarstno
Chwarstno (Polish pronunciation: [ˈxfarstnɔ]; German: Horst) is a village in the administrative district of Gmina Węgorzyno, within Łobez County, West Pomeranian Voivodeship, in north-western Poland. It lies is approximately 8 km (5 mi) west of Węgorzyno, 16 km (10 mi) south-west of Łobez, and 59 km (37 mi) east of the regional capital Szczecin.

Gmina Węgorzyno
Gmina Węgorzyno is an urban-rural gmina (administrative district) in Łobez County, West Pomeranian Voivodeship, in north-western Poland. Its seat is the town of Węgorzyno, which lies approximately 12 kilometres (7 mi) south of Łobez and 67 km (42 mi) east of the regional capital Szczecin.

The gmina covers an area of 256.19 square kilometres (98.9 sq mi), and as of 2006 its total population is 7,316 (out of which the population of Węgorzyno amounts to 3,011, and the population of the rural part of the gmina is 4,305).

The gmina contains part of the protected area called Ińsko Landscape Park. The river Brzeźnicka Węgorza is within the gmina.
Bayezid II Hamam
The Bayezid II Hamam (Turkish: Beyazıt Hamamı) is a historic bathhouse (hamam) on Divanyolu Street in Istanbul, Turkey. It was historically part of the külliye (religious and charitable complex) of the nearby Bayezid II Mosque and was one of  largest hamams in the city.

Bayezid II Mosque, Istanbul
The Bayezid II Mosque (Turkish: Beyazıt Camii, Bayezid Camii) is an early 16th-century Ottoman imperial mosque located in Beyazıt Square in Istanbul, Turkey, near the ruins of the Forum of Theodosius of ancient Constantinople.
2015 Surrey Storm season
The 2015 Surrey Storm season saw them finish as Netball Superleague champions for the first time. Between 2011 and 2014, Surrey Storm played in three out of the four grand finals. After finishing as runners up in all three, Surrey Storm won their first Netball Superleague title in 2015. During the regular season they finish second behind Manchester Thunder. They subsequently defeated Yorkshire Jets at the semi-final stage before defeating Hertfordshire Mavericks in the grand final.

2015 Netball Superleague season
The 2015 Netball Superleague season (known for sponsorship reasons as the Zeo Netball Superleague) was the tenth season of the Netball Superleague. The league was won by Surrey Storm after defeating Hertfordshire Mavericks in the grand final. Manchester Thunder finished top of the table following the regular season but they subsequently lost to Mavericks in the semi-finals. Thunder eventually finished third overall. Yorkshire Jets were the surprise team of the season, finishing third during the regular season and fourth overall. This was the first season in Superleague history that Team Bath did not qualify for the semi-finals.
Theresa Wayman
Theresa Becker Wayman (born June 23, 1980), known professionally as TT, is an American musician, singer-songwriter, and occasional actress, best known as guitarist and vocalist of the indie rock band Warpaint.

The Fool (Warpaint album)
The Fool is the debut studio album by American alternative rock band Warpaint, released on October 25, 2010, on Rough Trade Records. The album was recorded at two studios—Curves Studio and The Boat Studio—in the band's native Los Angeles, California, throughout 2010 and was produced by Tom Biller, who also shared mixing duties with Andrew Weatherall and Adam Samuels.

The band describe the album as the "older sister" of their debut, Exquisite Corpse (2008).
Donald Paulin
Donald J. Paulin (born October 29, 1933) was an American politician and businessman.

Born in Plymouth County, Iowa, Paulin graduated from Union Consolidated High School. He served in the United States Navy during the Korean War. He attended Westmar University for three years. Paulin was a kitchen cabinet retailer and president of a building materials company. Paulin served as mayor of Le Mars, Iowa. From 1983 to 1989, Paulin served in the Iowa House of Representatives and was a Republican.

Le Mars, Iowa
Le Mars /ləˈmɑːrz/ is a city and the county seat of Plymouth County, Iowa, United States. It is located on the Floyd River northeast of Sioux City. The population was 10,571 at the time of the 2020 census. Le Mars is located within America Township and is part of the Sioux City metropolitan area.
East Aurora Union Free School District
East Aurora Union Free School District is a school district in East Aurora, New York, United States. The superintendent is Brian Russ. The district operates three schools: East Aurora High School, East Aurora Middle School, and Parkdale Elementary School.

East Aurora Schools have been recognized by the National Blue Ribbon Schools Program. The Middle School in 2012 and the High School in 2017.

East Aurora, New York
East Aurora is a village in Erie County, New York, United States, southeast of Buffalo. It lies in the eastern half of the town of Aurora. The village population was 5,998 per the 2020 census. It is part of the Buffalo-Niagara Falls metropolitan area. In 2015, East Aurora was rated the third-best town to raise a family in New York State by Niche. According to the National Council of Home Safety and Security, it is also among the safest places to live in New York State  (ranked 1st, 2018). The village is included on the List of Tree Cities USA.
Clun and Bishop's Castle Rural District
52°28′12″N 2°56′35″W﻿ / ﻿52.470°N 2.943°W﻿ / 52.470; -2.943

Clun and Bishop's Castle was a rural district in Shropshire, England from 1894 to 1974.

It was created by the Local Government Act 1894 as the Clun Rural District, based on the Clun rural sanitary district.  It was enlarged in 1934 under a County Review Order by taking in the disbanded Chirbury Rural District and Teme Rural District.

1967 saw the district renamed 'Clun and Bishop's Castle', when it absorbed the municipal borough of Bishop's Castle. Bishop's Castle became a rural borough within the rural district.

The district was abolished in 1974 under the Local Government Act 1972, and was merged to form part of the South Shropshire district.

Local Government Act 1958
The Local Government Act 1958 (6 & 7 Eliz. 2. c. 55) was an Act of the Parliament of the United Kingdom affecting local government in England and Wales outside London. Among its provisions it included the establishment of Local Government Commissions to review the areas and functions of local authorities, and introduced new procedures for carrying these into action.
Delta City, Mississippi
Delta City is a census-designated place and unincorporated community located on Mississippi Highway 434 in Sharkey County, Mississippi. Delta City is approximately 6 miles (9.7 km) east of Panther Burn and approximately 5 miles (8.0 km) north of Nitta Yuma. Although an unincorporated community, Delta City has a zip code of 39061.

It was first named as a CDP in the 2020 Census which listed a population of 70.

On the afternoon of Sunday, February 21, 1971, a large and long-tracked F5 tornado impacted Delta City, obliterating most of the town.

Mississippi Highway 434
Mississippi Highway 434 (MS 434) is a short state highway in western Mississippi. The route travels from U.S. Route 61 (US 61) near Nitta Yuma and travels eastward. After crossing a creek, the road travels northeastward and enters Delta City, and the route ends inside the unincorporated community. The route was constructed around 1951, connecting from US 61 to Delta City. An extension along a county road to US 49W existed from 1957 to 1967.
Housewife, 49
Housewife, 49 is a 2006 television film based on the wartime diaries of Nella Last. Written by and starring English actress and comedian Victoria Wood, it follows the experiences of an ordinary housewife and mother in the northern English town of Barrow-in-Furness, Lancashire, during the Second World War. It was first broadcast in the UK by ITV on 10 December 2006.

Stephanie Cole
Patricia Stephanie Cole (born 5 October 1941) is an English stage, television, radio and film actress, known for high-profile roles in shows such as Tenko (1981–1985), Open All Hours (1982–1985), A Bit of a Do (1989), Waiting for God (1990–1994), Keeping Mum (1997–1998), Doc Martin (2004-2009), Ed Reardon's Week (2005–2021), Cabin Pressure (2008–2014), Coronation Street (2011–2013), Still Open All Hours (2013–2019) and Man Down (2014–2017).
Aaron Dugan
Aaron Dugan (born June 20, 1977) is a guitarist, composer and songwriter originally from Philadelphia who resides in Brooklyn. Dugan has performed and recorded with a wide variety of musicians and producers including Roots Tonic, Matisyahu, Trevor Hall, Bootsy Collins, Amy Carrigan, John Zorn, Maya Dunietz, Chris Tunkel, Mark Guiliana and Bill Laswell. Dugan has clinched two Gold Records as lead guitarist on Matisyahu's Live at Stubb's and Youth, and has recorded two solo albums featuring his own compositions.

Mark Guiliana
Mark Guiliana (born September 2, 1980) is an American drummer, composer and leader of the band Beat Music. He has played with Avishai Cohen, Brad Mehldau, David Bowie, Meshell Ndegeocello, Gretchen Parlato, Jason Lindner, Lionel Loueke, Dhafer Youssef, Tigran Hamasyan, Matisyahu, St. Vincent, the European piano trio Phronesis and his own groups, Heernt and the Mark Guiliana Jazz Quartet.
Abermule
Abermule (Welsh: Aber-miwl) is a village lying on the River Severn 6 km (4 miles) northeast of Newtown in Powys, mid Wales. The A483 Swansea to Chester trunk road, the Cambrian Line railway, connecting Aberystwyth to Shrewsbury, and the Montgomery Canal, close to the river, all pass through Abermule. The village had a population of 900 as of the 2011 census.

The village is part of the Abermule with Llandyssil community.

Abermule with Llandyssil
Abermule with Llandyssil, formerly just Llandyssil (Welsh: Llandysul), is a community in Powys (historically Montgomeryshire), Wales, including the villages of Abermule and Llandyssil, and had a population of 1527 as of the 2011 UK Census. It also includes settlements of Llanmerewig and Green Lane.

The community, located near the border with England, is mainly English-speaking.
Acquanegra sul Chiese
Acquanegra sul Chiese (Mantovano: 'Quanégra) is a comune (municipality) in the Province of Mantua in the Italian region Lombardy, located about 100 kilometres (62 mi) southeast of Milan and about 30 kilometres (19 mi) west of Mantua.

Acquanegra sul Chiese borders the following municipalities: Asola, Bozzolo, Calvatone, Canneto sull'Oglio, Marcaria, Mariana Mantovana, Redondesco.

Marcaria
Marcaria is a comune (municipality) in the Province of Mantua in the Italian region Lombardy, located about 110 kilometres (68 mi) southeast of Milan and about 20 kilometres (12 mi) west of Mantua.

Marcaria borders the following municipalities: Acquanegra sul Chiese, Borgo Virgilio, Bozzolo, Castellucchio, Curtatone, Gazoldo degli Ippoliti, Gazzuolo, Redondesco, San Martino dall'Argine, Viadana.

The Renaissance writer Baldassarre Castiglione was born at Casatico in 1478.
Coded Bias
Coded Bias is an American documentary film directed by Shalini Kantayya that premiered at the 2020 Sundance Film Festival. The film includes contributions from researchers Joy Buolamwini, Deborah Raji, Meredith Broussard, Cathy O’Neil, Zeynep Tufekci, Safiya Noble, Timnit Gebru, Virginia Eubanks, and Silkie Carlo, and others.

Deborah Raji
Inioluwa Deborah Raji (born 1995/1996) is a Nigerian-Canadian computer scientist and socio-tech leader who works on algorithmic bias, AI accountability, and algorithmic auditing. A current Mozilla fellow, she has been recognized by MIT Technology Review and Forbes as one of the world's top young innovators.

Raji has previously worked with Joy Buolamwini, Timnit Gebru, and the Algorithmic Justice League on researching gender and racial bias in facial recognition technology. She has also worked with Google’s Ethical AI team and been a research fellow at the Partnership on AI and AI Now Institute at New York University working on how to operationalize ethical considerations in machine learning engineering practice.
Plymouth, Sheboygan County, Wisconsin
Plymouth is a town in Sheboygan County, Wisconsin. The population was 3,115 at the time of the 2000 census. It is included in the Sheboygan, Wisconsin Metropolitan Statistical Area. The City of Plymouth is located within the town, but is politically independent. The unincorporated community of New Paris is also located in the town.

Plymouth, Wisconsin
Plymouth is a city in Sheboygan County, Wisconsin, United States, along the Mullet River. The population was 8,932 at the 2020 census. It is included in the Sheboygan, Wisconsin, metropolitan area. The city is located in the Town of Plymouth, but it is politically independent. Plymouth was known as "Hub City" for its former role as a center of wooden wheelwrighting. It advertises itself as "The Cheese Capital of the World," as it produces 14% of all the cheese consumed in the United States. The Mayor is Don Pohlman.