Farey John Farey (17911851) was the son of John Farey, a geologist who also Farey, John. A Treatise on the Steam Engine. London Paternoster-Row, 1827. http://kmoddl.library.cornell.edu/biographies/Farey/index.php
Extractions: Category: Speer- und Schaltwerke (Locking and Switching Mecanisms) Item Number: Description: Schwaltwerk mit Steuerung (Switching Mechanism with Control) Biographical Information John Farey (1791-1851) was the son of John Farey, a geologist who also observed what is now known as the Farey series of fractions. Farey, the younger, was born in Surrey and educated at Woburn. His interest in mechanics and his skill in making accurate drawings were apparent by the time he was fourteen. He made drawings for the illustrative plates of the Rees and the Edinburgh encyclopedias, as well as for the Mechanical Dictionary, Pantalogia, and other scientific works. FareyÕs focus on detail and the understanding that drawings needed to be very accurate drove him to create a device for making perspective drawings, for which he received an award from the Society of Arts in 1807. In 1813 he created a machine that could draw ellipses and won another medal from the Society of Arts. Farey then turned to civil engineering, and traveled to Russia to work in businesses associated with the construction of ironworks. After returning to England, Farey started a company that manufactured steam engine indicators. His interest in indicators diminished rapidly, and by 1821 he turned his business over to his brother Joseph to pursue a career in a lace manufactory in Devonshire. Farey remained in this position for two years and then moved on to flax mills in Leeds, but by 1826 he was forced to return to London to regain control of his company due to his brotherÕs failing health. Farey spent the remainder of his life as a consulting engineer engaged in litigation for patent cases, and other scientific investigations. He joined the Institute of Civil Engineers in 1826 and served on several of their councils.
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NodeWorks - Encyclopedia John Farey, Sr. pioneer geologist John Farey (17661826)'. Geology Today. Blackwell Science Ltd. 2001 June. Vol. 17 No. 2. pp.59-68. H. S. Torrens, 'Farey http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
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Research On Wiki/John_Farey _Jr. Reference. Woolrich, A. P., 'Farey, John, Jr.', in Biographical Dictionary of Civil Engineers, 2002, Vol 1, pp 223224 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
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Extractions: FAREY John, anglais, 1766-1826 John Farey n'est pas un mathématicien mais un géologue dont le nom se retrouve dans une curiosité arithmétique liée aux fractions élémentaires, les suites de Farey , qui ont été étudiées sous une forme géométrique au 20è siècle par le mathématicien américain Lester R. Ford Sr (père) : cercles de Ford Suites de Farey : Si l'on écrit successivement, en ordre croissant, toutes les fractions irréductibles de l'intervalle [0,1] dont le dénominateur n'excède pas un entier donné, on observe une curieuse propriété : Pour deux fractions consécutives et , la différence des produits "en croix" bc - ad est toujours égale à 1 L'insertion de la fraction , obtenue en ajoutant entre eux les numérateurs et les dénominateurs de et , fournit une fraction vérifiant la propriété précédente et toujours comprise entre et Et notant S n la suite associée à un entier n, cette dernière propriété permet alors de construire la suite S n+1 en insérant les fractions tant que b + d ne dépasse pas n + 1 : Considérons le cas n = 5 : afin de construire la suite, on écrit :
John Farey, Jr. - Wikipedia, The Free Encyclopedia Reference. Woolrich, A. P., 'Farey, John, Jr.', in Biographical Dictionary of Civil Engineers, 2002, Vol 1, pp 223224 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
John Farey, Jr. Information From Answers.com John Farey, Jr. Wikipedia. John Farey, Jr. John Farey, Jr. (17911851) was a mechanical engineer. He was the eldest son of John Farey, Sr., the http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Encyclopedia John Farey, Sr. Encyclopedia John Farey, Sr. Sponsored links John Farey, Sr. (1766 January 6, 1826), was an English geologist and writer. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Who Was John Farey John Farey was born 1766 in Woburn, Bedfordshire, England and died in 1826 in John Fareys mathematics was recognized when wrote an article called On a http://jwilson.coe.uga.edu/EMT668/EMAT6680.2003.fall/Kirkham/emat6690/FareyMaste
Extractions: By Robin Kirkham and Sinje Bulter W ho was J ohn F arey? John Farey was born 1766 in Woburn, Bedfordshire, England and died in 1826 in London, England. Although Farey was a geologist not a mathematician but he was known in mathematics for the Farey Series that is discussed in the work. John Fareys mathematics was recognized when wrote an article called On a curious property of vulgar fractions Today vulgar fractions are referred to as Improper Fractions. The article was merely four paragraphs long yet it changed the way Farey was perceived. In his first paragraph he talked about how he noted curious properties with fractions and by the end of merely four paragraphs he had introduced these curious properties. These properties, defined as the Farey series, is when a given number n , is considered then all rational numbers between and 1 when expressed in their lowest terms, have denominators that do not exceed the n Each member of the sequence is equal to the rational whose numerator is the sum of the numerators of the fractions on either side, and whose denominator is the sum of the denominators of the fractions on either side. For example: take n F Is this just another F arey T ale?
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Extractions: SHAKESPEARE: "When all the breathers of this world are dead, you still shall live, such virtue hath my pen"- ANNOUNCER: More than a decade ago, FRONTLINE became intrigued with the Shakespeare authorship question. CALVIN HOFFMAN: It's the greatest story in literature. You want the man who conferred the greatest glory on English letters to get his recognition. It's a matter of simple justice. ANNOUNCER: Who really wrote the works of William Shakespeare? Some believe it was Edward De Vere, the Earl of Oxford. EXPERT: The Earl of Oxford has all the academic, intellectual qualifications. ANNOUNCER: But there is another theory. MICHAEL RUBBO: What about Marlowe? Marlowe has his supporters. ANNOUNCER: Tonight filmmaker Michael Rubbo continues the journey and investigates the question that has plagued the literary world for over a century. Prof. JONATHAN BATE, Author of "The Genius of Shakespeare": This is the biggest literary prize in the world. I mean, it's like Captain Kidd's treasure.
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