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James Ivory (mathematician)
James Ivory, FRS FRSE KH LLD (17 February 1765 – 21 September 1842) was a British mathematician. He was creator of Ivory's Theorem on confocal conic sections. Life Ivory was born in Dundee, son of James Ivory the renowned watchmaker. The family lived and worked on the High Street in Dundee. He was educated at Dundee Grammar School. In 1779 he entered the University of St Andrews, distinguishing himself especially in mathematics. He then studied theology; but, after two sessions at St Andrews and one at Edinburgh University, he abandoned all idea of the church, and in 1786 he became an assistant-teacher of mathematics and natural philosophy in the newly established Dundee Academy. Three years later he became partner in, and manager of, a flax spinning company at Douglastown in Forfarshire, still prosecuting in moments of leisure his favourite studies. He was essentially a self-trained mathematician, and was not only deeply versed in ancient and modern geometry, but also ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dundee, Scotland
Dundee (; sco, Dundee; gd, Dùn Dè or ) is Scotland's fourth-largest city and the 51st-most-populous built-up area in the United Kingdom. The mid-year population estimate for 2016 was , giving Dundee a population density of 2,478/km2 or 6,420/sq mi, the second-highest in Scotland. It lies within the eastern central Lowlands on the north bank of the Firth of Tay, which feeds into the North Sea. Under the name of Dundee City, it forms one of the 32 council areas used for local government in Scotland. Within the boundaries of the historic county of Angus, the city developed into a burgh in the late 12th century and established itself as an important east coast trading port. Rapid expansion was brought on by the Industrial Revolution, particularly in the 19th century when Dundee was the centre of the global jute industry. This, along with its other major industries, gave Dundee its epithet as the city of "jute, jam and journalism". Today, Dundee is promoted as "One Cit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dundee Grammar School
The High School of Dundee is an independent, co-educational, day school in Dundee, Scotland, which provides nursery, primary and secondary education to just over one thousand pupils. Its foundation has been dated to 1239, and it is the only private school in Dundee. The school's rector is a member of the Headmasters' and Headmistresses' Conference. The school has been registered as a charity in Scotland since July 1897. History The Grammar School The school has origins in the Grammar School of Dundee founded by the abbot and monks of Lindores Abbey after they were granted a charter by Gregory, Bishop of Brechin, in the early 1220s to "plant schools wherever they please in the burgh". Their rights were confirmed by a papal bull conferred by Pope Gregory IX on 14 February 1239. It is from this bull that the school's Latin motto "''Prestante Domino''", translated as "Under the Leadership of God", is taken. Little information survives about the early grammar school: it would hav ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paris
Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, fashion, gastronomy, and science. For its leading role in the arts and sciences, as well as its very early system of street lighting, in the 19th century it became known as "the City of Light". Like London, prior to the Second World War, it was also sometimes called the capital of the world. The City of Paris is the centre of the Île-de-France region, or Paris Region, with an estimated population of 12,262,544 in 2019, or about 19% of the population of France, making the region France's primate city. The Paris Region had a GDP of €739 billion ($743 billion) in 2019, which is the highest in Europe. According to the Economist Intelli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Knight Bachelor
The title of Knight Bachelor is the basic rank granted to a man who has been knighted by the monarch but not inducted as a member of one of the organised orders of chivalry; it is a part of the British honours system. Knights Bachelor are the most ancient sort of British knight (the rank existed during the 13th-century reign of King Henry III), but Knights Bachelor rank below knights of chivalric orders. A man who is knighted is formally addressed as "Sir irst Name urname or "Sir irst Name and his wife as "Lady urname. Criteria Knighthood is usually conferred for public service; amongst its recipients are all male judges of His Majesty's High Court of Justice in England. It is possible to be a Knight Bachelor and a junior member of an order of chivalry without being a knight of that order; this situation has become rather common, especially among those recognized for achievements in entertainment. For instance, Sir Michael Gambon, Sir Derek Jacobi, Sir Anthony Hopkins, Sir ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William IV Of The United Kingdom
William IV (William Henry; 21 August 1765 – 20 June 1837) was King of the United Kingdom of Great Britain and Ireland and King of Hanover from 26 June 1830 until his death in 1837. The third son of George III, William succeeded his elder brother George IV, becoming the last king and penultimate monarch of Britain's House of Hanover. William served in the Royal Navy in his youth, spending time in North America and the Caribbean, and was later nicknamed the "Sailor King". In 1789, he was created Duke of Clarence and St Andrews. In 1827, he was appointed Britain's first Lord High Admiral since 1709. As his two elder brothers died without leaving legitimate issue, he inherited the throne when he was 64 years old. His reign saw several reforms: the Poor Law was updated, child labour restricted, slavery abolished in nearly all of the British Empire, and the electoral system refashioned by the Reform Acts of 1832. Although William did not engage in politics as m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euclid's Elements
The ''Elements'' ( grc, Στοιχεῖα ''Stoikheîa'') is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. ''Elements'' is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's ''Elements'' has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society
The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, recognising excellence in science, supporting outstanding science, providing scientific advice for policy, education and public engagement and fostering international and global co-operation. Founded on 28 November 1660, it was granted a royal charter by King Charles II as The Royal Society and is the oldest continuously existing scientific academy in the world. The society is governed by its Council, which is chaired by the Society's President, according to a set of statutes and standing orders. The members of Council and the President are elected from and by its Fellows, the basic members of the society, who are themselves elected by existing Fellows. , there are about 1,700 fellows, allowed to use the postnominal title FRS (Fellow of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Military College, Great Marlow
The Royal Military College (RMC), founded in 1801 and established in 1802 at Great Marlow and High Wycombe in Buckinghamshire, England, but moved in October 1812 to Sandhurst, Berkshire, was a British Army military academy for training infantry and cavalry officers of the British and Indian Armies. The RMC was reorganised at the outbreak of the Second World War, but some of its units remained operational at Sandhurst and Aldershot. In 1947, the Royal Military College was merged with the Royal Military Academy, Woolwich, to form the present-day all-purpose Royal Military Academy Sandhurst. History Pre-dating the college, the Royal Military Academy, Woolwich, had been established in 1741 to train artillery and engineer officers, but there was no such provision for training infantry and cavalry officers. The Royal Military College was conceived by Colonel John Le Marchant, whose scheme for establishing schools for the military instruction of officers at High Wycombe and Great M ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johannes Kepler
Johannes Kepler (; ; 27 December 1571 – 15 November 1630) was a German astronomer, mathematician, astrologer, natural philosopher and writer on music. He is a key figure in the 17th-century Scientific Revolution, best known for his laws of planetary motion, and his books ''Astronomia nova'', ''Harmonice Mundi'', and ''Epitome Astronomiae Copernicanae''. These works also provided one of the foundations for Newton's theory of universal gravitation. Kepler was a mathematics teacher at a seminary school in Graz, where he became an associate of Prince Hans Ulrich von Eggenberg. Later he became an assistant to the astronomer Tycho Brahe in Prague, and eventually the imperial mathematician to Emperor Rudolf II and his two successors Matthias and Ferdinand II. He also taught mathematics in Linz, and was an adviser to General Wallenstein. Additionally, he did fundamental work in the field of optics, invented an improved version of the refracting (or Keplerian) telescope, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edinburgh
Edinburgh ( ; gd, Dùn Èideann ) is the capital city of Scotland and one of its 32 Council areas of Scotland, council areas. Historically part of the county of Midlothian (interchangeably Edinburghshire before 1921), it is located in Lothian on the southern shore of the Firth of Forth. Edinburgh is Scotland's List of towns and cities in Scotland by population, second-most populous city, after Glasgow, and the List of cities in the United Kingdom, seventh-most populous city in the United Kingdom. Recognised as the capital of Scotland since at least the 15th century, Edinburgh is the seat of the Scottish Government, the Scottish Parliament and the Courts of Scotland, highest courts in Scotland. The city's Holyrood Palace, Palace of Holyroodhouse is the official residence of the Monarchy of the United Kingdom, British monarchy in Scotland. The city has long been a centre of education, particularly in the fields of medicine, Scots law, Scottish law, literature, philosophy, the sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ellipse
In mathematics, an ellipse is a plane curve surrounding two focus (geometry), focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. It generalizes a circle, which is the special type of ellipse in which the two focal points are the same. The elongation of an ellipse is measured by its eccentricity (mathematics), eccentricity e, a number ranging from e = 0 (the Limiting case (mathematics), limiting case of a circle) to e = 1 (the limiting case of infinite elongation, no longer an ellipse but a parabola). An ellipse has a simple algebraic solution for its area, but only approximations for its perimeter (also known as circumference), for which integration is required to obtain an exact solution. Analytic geometry, Analytically, the equation of a standard ellipse centered at the origin with width 2a and height 2b is: : \frac+\frac = 1 . Assuming a \ge b, the foci are (\pm c, 0) for c = \sqrt. The standard parametric e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytical Expression
In mathematics, a closed-form expression is a mathematical expression that uses a finite number of standard operations. It may contain constants, variables, certain well-known operations (e.g., + − × ÷), and functions (e.g., ''n''th root, exponent, logarithm, trigonometric functions, and inverse hyperbolic functions), but usually no limit, differentiation, or integration. The set of operations and functions may vary with author and context. Example: roots of polynomials The solutions of any quadratic equation with complex coefficients can be expressed in closed form in terms of addition, subtraction, multiplication, division, and square root extraction, each of which is an elementary function. For example, the quadratic equation :ax^2+bx+c=0, is tractable since its solutions can be expressed as a closed-form expression, i.e. in terms of elementary functions: :x=\frac. Similarly, solutions of cubic and quartic (third and fourth degree) equations can be expressed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
