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Royal Canal
The Royal Canal () is a canal originally built for freight and passenger transportation from Dublin to Longford in Ireland. It is one of two canals from Dublin to the River Shannon and was built in direct competition to the Grand Canal. The canal fell into disrepair in the late twentieth century, but much of it has since been restored for navigation. The length of the canal to the River Shannon was reopened on 1 October 2010, but a final spur branch, to Longford Town, remains closed. History Construction In 1755, Thomas Williams and John Cooley made a survey to find a suitable route for a man-made waterway across north Leinster from Dublin to the Shannon. They originally planned to use a series of rivers and lakes, including the Boyne, Blackwater, Deel, Yellow, Camlin and Inny and Lough Derravaragh. A disgruntled director of the Grand Canal Company sought support to build a canal from Dublin to Cloondara, on the Shannon in West County Longford. Work on this massive pro ...
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Spencer Dock
Spencer Dock () is a former wharf area, close to where the Royal Canal meets the River Liffey, in the North Wall (Dublin), North Wall area of Dublin, Republic of Ireland, Ireland. As of the 21st century, the area has been redeveloped with occupants of the Spencer Dock development including the Convention Centre Dublin, PricewaterhouseCoopers' Irish headquarters, Credit Suisse and TMF Group. The Central Bank of Ireland and NTMA have offices in the nearby Dublin Landings development. The main building in the area was previously the former North Wall railway station which formed the terminus bringing goods and passengers to the quays. History The dockland area was originally part of the end of the Royal Canal of Ireland, Royal Canal, which still reaches the River Liffey here. 1873 docks complex The dock was constructed in 1873 to accommodate the coal ships and other barges primarily of the Midland Great Western Railway, Midland Great Western Railway Company and served as bot ...
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Dublin - Blessington Street Basin - 20200927185617
Dublin is the capital and largest city of Ireland. Situated on Dublin Bay at the mouth of the River Liffey, it is in the province of Leinster, and is bordered on the south by the Dublin Mountains, part of the Wicklow Mountains range. Dublin is the largest city by population on the island of Ireland; at the 2022 census, the city council area had a population of 592,713, while the city including suburbs had a population of 1,263,219, County Dublin had a population of 1,501,500. Various definitions of a metropolitan Greater Dublin Area exist. A settlement was established in the area by the Gaels during or before the 7th century, followed by the Vikings. As the Kingdom of Dublin grew, it became Ireland's principal settlement by the 12th century Anglo-Norman invasion of Ireland. The city expanded rapidly from the 17th century and was briefly the second largest in the British Empire and sixth largest in Western Europe after the Acts of Union in 1800. Following independence in 1922 ...
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Hamilton Walk
The Hamilton Walk from Dunsink Observatory to Broom Bridge on the Royal Canal in Dublin takes place on 16 October each year. This is the anniversary of the day in 1843 when William Rowan Hamilton discovered the non-commutative algebraic system known as quaternions, while walking with his wife along the banks of the Royal Canal.Twenty Years of the Hamilton Walk
by Fiacre O Cairbre, Irish Mathematical Society Bulletin 65 (2010), 33–49


History

The walk was launched in 1990 by Prof Tony O'Farrell of the Department of Mathematics at

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Broom Bridge
Broom Bridge (Irish: ''Droichead Broome''), also called Broome Bridge, and sometimes Brougham Bridge, is a bridge along Broombridge Road which crosses the Royal Canal in Cabra, Dublin, Ireland. Broome Bridge is named after William Broome, one of the directors of the Royal Canal company who lived nearby. It is famous for being the location where Sir William Rowan Hamilton first wrote down the fundamental formula for quaternions on 16 October 1843, which is to this day commemorated by a stone plaque on the northwest corner of the underside of the bridge. After being spoiled by the action of vandals and some visitors, the plaque was moved to a different place, higher, under the railing of the bridge. The text on the plaque reads: Here as he walked by on the 16th of October 1843 Sir William Rowan Hamilton in a flash of genius discovered the fundamental formula for quaternion multiplication i^2 = j^2 = k^2 = ijk = -1 & cut it on a stone of this bridge. Given the historical ...
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Quaternion
In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. The algebra of quaternions is often denoted by (for ''Hamilton''), or in blackboard bold by \mathbb H. Quaternions are not a field, because multiplication of quaternions is not, in general, commutative. Quaternions provide a definition of the quotient of two vectors in a three-dimensional space. Quaternions are generally represented in the form a + b\,\mathbf i + c\,\mathbf j +d\,\mathbf k, where the coefficients , , , are real numbers, and , are the ''basis vectors'' or ''basis elements''. Quaternions are used in pure mathematics, but also have practical uses in applied mathematics, particularly for calculations involving three-dimensional rotations, such as in three-dimensional computer graphics, computer vision, robotics, magnetic resonance i ...
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William Rowan Hamilton
Sir William Rowan Hamilton (4 August 1805 – 2 September 1865) was an Irish astronomer, mathematician, and physicist who made numerous major contributions to abstract algebra, classical mechanics, and optics. His theoretical works and mathematical equations are considered fundamental to modern theoretical physics, particularly Hamiltonian mechanics, his reformulation of Lagrangian mechanics. His career included the analysis of geometrical optics, Fourier analysis, and quaternions, the last of which made him one of the founders of modern linear algebra. Hamilton was Andrews Professor of Astronomy at Trinity College Dublin. He was also the third director of Dunsink Observatory from 1827 to 1865. The Hamilton Institute at Maynooth University is named after him. Early life Hamilton was the fourth of nine children born to Sarah Hutton (1780–1817) and Archibald Hamilton (1778–1819), who lived in Dublin at 29 Dominick Street, Dublin, Dominick Street, later renumbered to 36. Ham ...
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William Rowan Hamilton Plaque - Geograph
William is a masculine given name of Germanic origin. It became popular in England after the Norman conquest in 1066,All Things William"Meaning & Origin of the Name"/ref> and remained so throughout the Middle Ages and into the modern era. It is sometimes abbreviated "Wm." Shortened familiar versions in English include Will or Wil, Wills, Willy, Willie, Bill, Billie, and Billy. A common Irish form is Liam. Scottish diminutives include Wull, Willie or Wullie (as in Oor Wullie). Female forms include Willa, Willemina, Wilma and Wilhelmina. Etymology William is related to the German given name ''Wilhelm''. Both ultimately descend from Proto-Germanic ''*Wiljahelmaz'', with a direct cognate also in the Old Norse name ''Vilhjalmr'' and a West Germanic borrowing into Medieval Latin ''Willelmus''. The Proto-Germanic name is a compound of *''wiljô'' "will, wish, desire" and *''helmaz'' "helm, helmet".Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford Unive ...
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Charles Bianconi
Charles Bianconi (24 September 1786 – 22 September 1875) was an Italo-Irish entrepreneur. Sometimes described as the "man who put Ireland on wheels", he developed a network of horse-drawn coaches that became Ireland's "first regular public transport" system. He eventually became known for his innovations in transport and was twice mayor of Clonmel, in County Tipperary. Early life Born Carlo Bianconi in Costa Masnaga, Italy on 24 September 1786, he moved from an area poised to fall to Napoleon and travelled to Ireland in 1802, via England, just four years after the 1798 rebellion. At the time, British fear of continental invasion resulted in an acute sense of insecurity and additional restrictions on the admission of foreigners. He was christened Carlo but anglicised his name to Charles when he arrived in Ireland in 1802. Career He worked as an engraver and printseller in Dublin, near Essex Street, under his sponsor, Andrea Faroni, when he was 16. In 1806 he set up an engravi ...
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Blessington Street Basin
Blessington Street Basin () is a former drinking water reservoir in northern central Dublin which operated from 1810 until the 1970s, serving the north city. It became the central feature of a public park in 1891, and this park was renewed and reopened in 1994. History City Basin (1721) Dublin had one drinking water reservoir, the City Basin, at James' Street, constructed on high ground near the House of Industry on the south side of the city, from 1721. The area had been used as a cistern and centre of waterworks for the city for several centuries prior with the water coming from a diversion of part of the River Dodder along what was referred to as the city watercourse at Balrothery Weir in Firhouse. New City Basin (1803) Blessington Street Basin, a new city basin, to supply the northside of the city, was constructed by Dublin Corporation beginning about 1803, and finished in 1810. The facility was opened as the Royal George Reservoir, named in honour of George III. The w ...
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Dublin Broadstone Railway Station
Broadstone railway station () was the Dublin terminus of the Midland Great Western Railway (MGWR), located in the Dublin suburb of Broadstone. The site also contained the MGWR railway works and a steam locomotive motive power depot. A Luas tram stop opened at the front of the station in 2017. It is currently the headquarters of Bus Éireann, housing most of their administration and one of their main garages. Nearby on the same property is a Dublin Bus Depot. History Etymology The name derives from the Norse "Bradogue Steyn" or "Broad Stone", due to the Bradogue River crossing the road to Finglas at this location. "Bradogue" itself means "Young Salmon" in Irish. Beginnings In 1845, the Royal Canal was purchased by the Midland Great Western Railway Company (MGWR) with a view to using the land alongside the canal to construct a railway line to the west of Ireland. The line was constructed in stages and by 1848 reached Mullingar. Similarly, Broadstone station was worked i ...
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