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John Colson
John Colson (1680 – 20 January 1760) was an English clergyman, mathematician, and the Lucasian Professor of Mathematics at Cambridge University. Life John Colson was educated at Lichfield School before becoming an undergraduate at Christ Church, Oxford, though he did not take a degree there. He became a schoolmaster at Sir Joseph Williamson's Mathematical School in Rochester, and was elected Fellow of the Royal Society in 1713. He was Vicar of Chalk, Kent from 1724 to 1740. He relocated to Cambridge and lectured at Sidney Sussex College, Cambridge. From 1739 to 1760, he was Lucasian Professor of Mathematics. He was also Rector of Lockington, Yorkshire. Works In 1726 he published his Negativo-Affirmativo Arithmetik advocating a modified decimal system of numeration. It involved "reduction osmall figures" by "throwing all the large figures 9, 8, 7, 6 out of a given number, and introducing in their room the equivalent small figures 1\bar, 1\bar, 1\bar, 1\bar respectively ...
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The Reverend
The Reverend is an style (manner of address), honorific style most often placed before the names of Christian clergy and Minister of religion, ministers. There are sometimes differences in the way the style is used in different countries and church traditions. ''The Reverend'' is correctly called a ''style'' but is often and in some dictionaries called a title, form of address, or title of respect. The style is also sometimes used by leaders in other religions such as Judaism and Buddhism. The term is an anglicisation of the Latin ''reverendus'', the style originally used in Latin documents in medieval Europe. It is the gerundive or future passive participle of the verb ''revereri'' ("to respect; to revere"), meaning "[one who is] to be revered/must be respected". ''The Reverend'' is therefore equivalent to ''The Honourable'' or ''The Venerable''. It is paired with a modifier or noun for some offices in some religious traditions: Lutheran archbishops, Anglican archbishops, and ...
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Signed-digit Representation
In mathematical notation for numbers, a signed-digit representation is a positional numeral system with a set of signed digits used to encode the integers. Signed-digit representation can be used to accomplish fast addition of integers because it can eliminate chains of dependent carries. In the binary numeral system, a special case signed-digit representation is the '' non-adjacent form'', which can offer speed benefits with minimal space overhead. History Challenges in calculation stimulated early authors Colson (1726) and Cauchy (1840) to use signed-digit representation. The further step of replacing negated digits with new ones was suggested by Selling (1887) and Cajori (1928). In 1928, Florian Cajori noted the recurring theme of signed digits, starting with Colson (1726) and Cauchy (1840). In his book ''History of Mathematical Notations'', Cajori titled the section "Negative numerals". For completeness, Colson uses examples and describes addition (pp. 163–4), mult ...
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English Anglicans
English usually refers to: * English language * English people English may also refer to: Peoples, culture, and language * ''English'', an adjective for something of, from, or related to England ** English national identity, an identity and common culture ** English language in England, a variant of the English language spoken in England * English languages (other) * English studies, the study of English language and literature * ''English'', an Amish term for non-Amish, regardless of ethnicity Individuals * English (surname), a list of notable people with the surname ''English'' * People with the given name ** English McConnell (1882–1928), Irish footballer ** English Fisher (1928–2011), American boxing coach ** English Gardner (b. 1992), American track and field sprinter Places United States * English, Indiana, a town * English, Kentucky, an unincorporated community * English, Brazoria County, Texas, an unincorporated community * En ...
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Academics Of The University Of Cambridge
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulation, de ...
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18th-century English Mathematicians
The 18th century lasted from January 1, 1701 ( MDCCI) to December 31, 1800 ( MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the American, French, and Haitian Revolutions. During the century, slave trading and human trafficking expanded across the shores of the Atlantic, while declining in Russia, China, and Korea. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures, including the structures and beliefs that supported slavery. The Industrial Revolution began during mid-century, leading to radical changes in human society and the environment. Western historians have occasionally defined the 18th century otherwise for the purposes of their work. For example, the "short" 18th century may be defined as 1715–1789, denoting the period of time between the death of Louis XIV of France and the start of the French Revolution, with an emphasis on directly interconnected events. To historians who expan ...
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1760 Deaths
Year 176 ( CLXXVI) was a leap year starting on Sunday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Proculus and Aper (or, less frequently, year 929 ''Ab urbe condita''). The denomination 176 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * November 27 – Emperor Marcus Aurelius grants his son Commodus the rank of ''Imperator'', and makes him Supreme Commander of the Roman legions. * December 23 – Marcus Aurelius and Commodus enter Rome after a campaign north of the Alps, and receive a triumph for their victories over the Germanic tribes. * The Equestrian Statue of Marcus Aurelius is made. It is now kept at Museo Capitolini in Rome (approximate date). Births * Fa Zheng, Chinese nobleman and adviser (d. 220) * Liu Bian, Chinese emperor of the Han Dynasty ( ...
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1680 Births
Year 168 ( CLXVIII) was a leap year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Apronianus and Paullus (or, less frequently, year 921 ''Ab urbe condita''). The denomination 168 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Marcus Aurelius and his adopted brother Lucius Verus leave Rome, and establish their headquarters at Aquileia. * The Roman army crosses the Alps into Pannonia, and subdues the Marcomanni at Carnuntum, north of the Danube. Asia * Emperor Ling of Han succeeds Emperor Huan of Han as the emperor of the Chinese Han Dynasty; the first year of the ''Jianning'' era. Births * Cao Ren, Chinese general (d. 223) * Gu Yong, Chinese chancellor (d. 243) * Li Tong, Chinese general (d. 209) Deaths * Anicetus, pope of R ...
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Witch Of Agnesi
In mathematics, the witch of Agnesi () is a cubic plane curve defined from two diametrically opposite points of a circle. It gets its name from Italian mathematician Maria Gaetana Agnesi, and from a mistranslation of an Italian word for a sailing sheet. Before Agnesi, the same curve was studied by Fermat, Grandi, and Newton. The graph of the derivative of the arctangent function forms an example of the witch of Agnesi. As the probability density function of the Cauchy distribution, the witch of Agnesi has applications in probability theory. It also gives rise to Runge's phenomenon in the approximation of functions by polynomials, has been used to approximate the energy distribution of spectral lines, and models the shape of hills. The witch is tangent to its defining circle at one of the two defining points, and asymptotic to the tangent line to the circle at the other point. It has a unique vertex (a point of extreme curvature) at the point of tangency with its defining cir ...
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Method Of Fluxions
''Method of Fluxions'' ( la, De Methodis Serierum et Fluxionum) is a mathematical treatise by Sir Isaac Newton which served as the earliest written formulation of modern calculus. The book was completed in 1671, and published in 1736. Fluxion is Newton's term for a derivative. He originally developed the method at Woolsthorpe Manor during the closing of Cambridge during the Great Plague of London from 1665 to 1667, but did not choose to make his findings known (similarly, his findings which eventually became the ''Philosophiae Naturalis Principia Mathematica'' were developed at this time and hidden from the world in Newton's notes for many years). Gottfried Leibniz developed his form of calculus independently around 1673, 7 years after Newton had developed the basis for differential calculus, as seen in surviving documents like “the method of fluxions and fluents..." from 1666. Leibniz however published his discovery of differential calculus in 1684, nine years before Newton f ...
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Isaac Newton
Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, physicist, astronomer, alchemist, theologian, and author (described in his time as a "natural philosopher"), widely recognised as one of the greatest mathematicians and physicists and among the most influential scientists of all time. He was a key figure in the philosophical revolution known as the Enlightenment. His book (''Mathematical Principles of Natural Philosophy''), first published in 1687, established classical mechanics. Newton also made seminal contributions to optics, and shares credit with German mathematician Gottfried Wilhelm Leibniz for developing infinitesimal calculus. In the , Newton formulated the laws of motion and universal gravitation that formed the dominant scientific viewpoint for centuries until it was superseded by the theory of relativity. Newton used his mathematical description of gravity to derive Kepler's laws of planetary motion, account for ...
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Philosophical Transactions Of The Royal Society
''Philosophical Transactions of the Royal Society'' is a scientific journal published by the Royal Society. In its earliest days, it was a private venture of the Royal Society's secretary. It was established in 1665, making it the first journal in the world exclusively devoted to science, and therefore also the world's longest-running scientific journal. It became an official society publication in 1752. The use of the word ''philosophical'' in the title refers to natural philosophy, which was the equivalent of what would now be generally called ''science''. Current publication In 1887 the journal expanded and divided into two separate publications, one serving the physical sciences ('' Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences'') and the other focusing on the life sciences ('' Philosophical Transactions of the Royal Society B: Biological Sciences''). Both journals now publish themed issues and issues resulting from pap ...
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Lockington, Yorkshire
Lockington is a small village and civil parish in the East Riding of Yorkshire, England. It is situated approximately north-west of Beverley town centre. The civil parish is formed by the villages of Lockington and Aike and the hamlet of Thorpe. According to the 2011 UK census the population of Lockington parish was 524, a decrease on the 2001 UK census figure of 542. There were 247 separate households. However, since this census, recent housing developments have occurred. The parish church of St Mary is a Grade I listed building. The A164 road and the Yorkshire Coast railway line from Hull to Scarborough both pass through the parish. Until 13 June 1960 Lockington railway station operated on the line. The level crossing adjacent to the station was the scene of a fatal accident on 26 July 1986. In 1823 Lockington was in the civil parish of Lockington and of Kilnwick, in the Wapentake of Harthill. A National School existed in the village. Population was 491, with occ ...
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