41. Biography-center - Letter M Mathematicians/MacLane.html; maclaurin, colin wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/maclaurin.html;Maclean, Bryan http://www.biography-center.com/m.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish M 749 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Meray.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Mobius.html MacArthur, Douglas www.pbs.org/wgbh/pages/amex/macarthur/peopleevents/pandeAMEX106.html Macarthur, Elizabeth www.abc.net.au/btn/australians/macarthu.htm MacArthur, Mary P.H. www.pbs.org/wgbh/pages/amex/macarthur/peopleevents/pandeAMEX109.html Macaulay, Francis www-history.mcs.st-and.ac.uk/~history/Mathematicians/Macaulay.html Macaulay, Eunice www.nfb.ca/e/highlights/eunice_macaulay.html MacBride, Seán www.nobel.se/peace/laureates/1974/macbride-cv.html Macció, Rómulo www.proa.org.ar/exhibicion/maccio/exhibi-fr.html MacCullagh, James www-history.mcs.st-and.ac.uk/~history/Mathematicians/MacCullagh.html MacCurtain, Margaret

42. Colin MacLaurin-Jones - President 1974-75 colin maclaurinJones * President 1974-75. http://www.manannan.org.im/aosa/history/1974_75_colin_maclaurin_jones.htm

Colin MacLaurin-Jones * President 1974-75 Return to History Introduction Ayton School

43. Bibliography Pp. 240, 253. O'Connor, JJ, and Robertson, EF colin maclaurin. UpdatedNov. 1999. 2002). Weisstein, Eric. maclaurin, colin (16981746) . http://www.frc.mass.edu/smabrouk/calculus_III/History_Student_Web_Pages/Laws_Rag

Back to Main Page Bibliography Ball, Rouse. A Short Account of the History of Mathematics, 4th edition. 1908. http://www.maths.tcd.ie/pub/HistMath/People/Maclaurin/RouseBall/RB_Maclaurin.html (Nov. 2002). Cajori, Florian. A History of the Conceptions of Limits and Fluxions in Great Britain from Newton to Woodhouse . The open court publishing company, 1919. Pp. 180-184. Efunda engineering fundamentals. "Taylor Series." http://www.efunda.com/math/taylor_series/taylor_series.cfm (3 Nov. 2002). Finney, Thomas. Calculus , Part 1 (9 th edition). Addison-Wesley, 1996. Pp. 673, 676. Finney, Thomas. Calculus , online. "Bernoulli, Johann." http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chaper1/medialib/custom3/bios/bernoullijohann.htm (Nov. 2002). Finney, Thomas. Calculus , online. "Taylor, Brook." http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chaper1/medialib/custom3/bios/taylor.htm (Nov. 2002). The Norton History of the Mathematical Sciences . Ivor Grattan-Guiness, 1997. Pp. 240, 253.

44. Biography Back to Main Page. The Life of colin maclaurin. colin maclaurin wasa Scottish mathematician who lived from 1698 to 1746. He was born http://www.frc.mass.edu/smabrouk/calculus_III/History_Student_Web_Pages/Laws_Rag

Back to Main Page The Life of Colin Maclaurin Colin Maclaurin was a Scottish mathematician who lived from 1698 to 1746. He was born in February 1698 in Kilmodan, Glendaruel, Argyllshire, where his father was the minister of the Kilmodan church. Maclaurin's father died shortly after his birth. Maclaurin's uncle, also a minister, took charge of Colin and his brother, John, after the death of their mother in 1707. Maclaurin entered the University of Glasgow at the age of 11. It was not unusual for university students to be of such young age in the 18th century. At the University, Maclaurin was inspired by a classmate's copy of Euclid's Elements. Maclaurin was awarded a Master of Arts degree (the equivalent of a modern Bachelor's Degree) at the age of 14. Perhaps inspired by his father and uncle, Maclaurin remained at the University as a student of divinity. He decided against a career in the Presbyterian Church and accepted the position of Professor of Mathematics at the Marischal College in the University of Aberdeen in 1717 at the age of 19.

45. History Of Astronomy: Persons (M) German Flag Deutsche Fassung. Mac Laurin, colin see maclaurin, colin; MacDonnell,William John (18421910) Short biographical data and archival sources. http://www.astro.uni-bonn.de/~pbrosche/persons/pers_m.html

History of Astronomy Persons History of Astronomy: Persons (M) Deutsche Fassung Mac Laurin, Colin: see Maclaurin, Colin MacDonnell, William John (1842-1910) Short biographical data and archival sources Mach, Ernst (1838-1916) Very short biography and references (Or see German version Very short biography (Eric Weisstein's Treasure Trove) Maclaurin [Mac Laurin], Colin (1698-1746) Short biography and references (MacTutor Hist. Math.) Short biography (Eric Weisstein's Treasure Trove) Short biography (in French) Very short biography (infoplease.com) Family history Family history (under construction) Find more about Maclaurin with Alta Vista Biographical data (in Estonian) Madsen, Hans Frandsen (1843-1937) Short biographical data and reference Very short biography (under construction) Biography of his son John Percival Vissing Madsen (1879-1969) and briefly about himself Maestlin, Michael (1550-1631) Biographical data and references Short biography Maffei, Francesco Scipione (1675-1755) Short biography and references From the Catholic Encyclopedia, 1913

46. Bibliothèque ICF Translate this page 1827. maclaurin (colin). - An 8- maclaurin (colin). - An Account of SirIsaac Newton's philosophical discoveries, in four books. - London http://www.cluny.ensam.fr/E1-Ecomusee/Eco002.html

Voici quelques exemples des collections: Fougeau de Moralec Agricola (Georgius) De Re Metallica Diderot et d'Alembert Spiritalium liber Hachette (Jean Pierre Nicolas) The Engineer et Engineering Revues britanniques et Stuart (Robert) MacLaurin (Colin) An Account of Sir Isaac Newton's philosophical discoveries, in four books Dudin (Raymond) . - Paris, Dunod, Gouchtchev (Serge), Vassiliev (Michel) 2- Agricola (Georgius). - De Re Metallica. - London, The Mining magazine, 1912. - XXXI-640 p. ; 35 cm. Contact , Conservatrice 71200 LE CREUSOT Fax: 03 85 56 20 74 Christophe Massacrier

47. The Science Bookstore - Chronology 1742 AD, maclaurin, C. colin maclaurin discovers his uniformly rotatingselfgravitating spheroids. maclaurin, colin Died 6/14/1746, 1746 AD, http://www.thesciencebookstore.com/chron.asp?searchstring=Maclaurin

48. The Science Bookstore - Chronology 1742 AD, maclaurin, C. colin maclaurin discovers his uniformly rotatingselfgravitating spheroids. maclaurin, colin Died 6/14/1746, 1746 AD, http://www.thesciencebookstore.com/chron.asp?pg=8

49. Appendices: References Library of Congress information about this book. maclaurin, colin. 1742. ATreatise on Fluxions. Library of Congress information about this book. http://www.phys.lsu.edu/astro/H_Book.current/Appendices/references.text.shtml

The Structure, Stability, and Dynamics of Self-Gravitating Systems January 03, 1999 Joel E. Tohline tohline@rouge.phys.lsu.edu REFERENCES Arfken, George. 1985 Mathematical Methods for Physicists , (New York: Academic Press: QAQA37.2.A74: ISBN 0-12-059820-5). Library of Congress information about this book Binney, J. and Tremaine, S. 1987 Galactic Dynamics , (Princeton, NJ: Princeton Univ. Press Library of Congress information about this book Chandrasekhar, S. 1967 An Introduction to the Study of Stellar Structure , (New York: Dover: QB801.C479: ISBN 0-486-60413-6). Photograph of Subrahmanyan Chandrasekhar (October 19, 1910 - August 21, 1995) Books authored by S. Chandrasekhar Obituary for S. Chandrasekhar Personal tributes to S. Chandrasekhar Chandrasekhar, S. 1987 Ellipsoidal Figures of Equilibrium , (New York: Dover: QB410.C47: ISBN 0-486-65258-0). Library of Congress information about this book Photograph of Subrahmanyan Chandrasekhar (October 19, 1910 - August 21, 1995) Books authored by S. Chandrasekhar

50. H_Book: Library Of Congress Info Author maclaurin, colin, 16981746. Title A treatise of fluxions. By colinmaclaurin Published Edinburg, Printed by TW T. Ruddimans, 1742. http://www.phys.lsu.edu/astro/H_Book.current/Appendices/Biographies/LC.info.shtm

The Structure, Stability, and Dynamics of Self-Gravitating Systems January 03, 1999 Joel E. Tohline tohline@rouge.phys.lsu.edu Library of Congress information about referenced books. Click here to search for information about other book titles or authors. Author: Arfken, George B. (George Brown), 1922- Title: Mathematical methods for physicists / George Arfken. Edition: 3rd ed. Published: Orlando : Academic Press, c1985. Description: xxii, 985 p. : ill. ; 25 cm. LC Call No.: QA37.2.A74 1985 Dewey No.: 510 19 ISBN: 0120598205 Notes: Includes bibliographies and index. Subjects: Mathematics. Mathematical physics. Control No.: 84071328 //r89 Author: Binney, James , 1950- Title: Galactic dynamics / James Binney and Scott Tremaine. Published: Princeton, N.J. : Princeton University Press, c1987. Description: xv, 733 p. : ill. ; 25 cm. Series: Princeton series in astrophysics LC Call No.: QB857 .B524 1987 ISBN: 0691084440 (alk. paper) : $75.00 0691084459 (pbk.) : $25.00 Notes: Bibliography: p. 707-724. Includes index. Subjects: Galaxies. Stars Clusters. Other authors: Tremaine, Scott, 1950- Series Entry: Princeton series in astrophysics Source: DLC DLC m/c Control No.: ACN8376 Author: Chandrasekhar, S.

51. Maclaurin, Colin encyclopediaEncyclopedia maclaurin, colin, muklôr'in, –lär'in PronunciationKey. maclaurin, colin , 1698–1746, Scottish mathematician http://print.factmonster.com/ce6/people/A0830990.html

document.write('Print Now!'); this page was printed from Factmonster.com www.factmonster.com/ce6/people/A0830990.html Encyclopedia Maclaurin, Colin [m u Pronunciation Key Maclaurin, Colin , Scottish mathematician and natural philosopher, one of the greatest mathematicians of his time. He was professor at Aberdeen and from 1725 at the Univ. of Edinburgh. He was an authority on fluxions (as Newton's version of the calculus was called), on Newton's gravitational theory, and on geometry. He also contributed to astronomy, cartography, and did actuarial computation for insurance companies. His writings include Geometria organica (1720) and A Treatise on Fluxions McLaughlin, Andrew Cunningham Maclay, William

52. Xah: Special Plane Curves: Trisectrix Of Maclaurin .A curve used by colin maclaurin (1698-1746) to trisect an angle. Formulas....... This is a curve colin maclaurin (16981746) used to trisect an angle. http://www.xahlee.org/SpecialPlaneCurves_dir/TriOfMaclaurin_dir/triOfMaclaurin.h

Table of Contents Trisectrix of Maclaurin Trisectrix of Maclaurin Mathematica Notebook for This Page History Description Formulas ... Related Web Sites History This is a curve Colin Maclaurin (1698-1746) used to trisect an angle. Description A curve used by Colin Maclaurin (1698-1746) to trisect an angle. Formulas Parametric Cartesian: y^2 (1-x) == x^2 (x + 3) Properties Relation to Parabola It is the pedal of parabola with repect to its focus reflect by the directrix. Trisecting an Angle Moving Point P Related Web Sites see Generic Reference Page MacTutor Famous Curve Index Xah Lee xah@xahlee.org ) http://xahlee.org/SpecialPlaneCurves_dir/specialPlaneCurves.html

53. Maclaurin Translate this page maclaurin (ou Mac-Laurin) colin écossais, 1698-1746 Egalement écritMac-Laurin. Brillant élève de Simson et de Newton , il obtint http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Maclaurin.html

MACLAURIN (ou Mac-Laurin) Colin Simson et de Newton Newton et de Taylor Formule de Maclaurin : Si f est ce classe C n x de V tel que : f (n) (o) = f et f (n) (n-1) C'est dire que f = f', f = f", etc. si nous notons r n n (sin x)' = cos x (sin x)" = - sin x (sin x)''' = - cos x (sin x)'''' = (sin x) = sin (x) (o) = (-1) n et par suite : sin x = x - x /3!+ x /5! - x Leibniz P(x) = P(o) + xP'(o) + x P''(o)/2! + ... + P (k) (o)/k! +...+ P n (o)/n! Cauchy Cramer : Pour en savoir plus : Courbes et surfaces trisection d'un angle Trisectrice de Maclaurin : Bernoulli Nicolas Maupertuis

54. GO BRITANNIA! Scotland: Great Scots Of Note Scots Who Made A Difference M maclaurin, colin (16981746) When the citizens ofEdinburgh hastily threw up barricades and dug ditches to defend their city http://www.britannia.com/celtic/scotland/greatscots/m3.html

Great Scots - Vacation Packages - Virtual Tours TRAVEL - UK Travel Directory - Planning Resources - Reservations - London Guide - Wales on Britannia - Scotland - Earth Mysteries - News - Events - Arts Directory - Museums - Literature - Theatre BUSINESS CENTRE - Business Directory SHOPPING Britannia Home History Home Travel Home Wales Home SCOTLAND Scotland Home History of Scotland History Timeline Great Scots ... Scotland Attractions TRAVEL GUIDES London Earth Mysteries Virtual Tours TRAVEL RESOURCES UK Vacations Travel Directories Resource Centre Reservations Centre ... UK Phonebook GUIDE BOOKS Pitkin Guides London TRAVEL SERVICES Airport Transfers Car Rental Scots Who Made A Difference M MACLAURIN, COLIN (1698-1746) When the citizens of Edinburgh hastily threw up barricades and dug ditches to defend their city against the approaching Jacobite forces in 1745, one of the leaders was famed mathematician Colin MacLaurin, who had been born in Kilmodan, Argyllshire. MacLaurin, a close friend and defender of Isaac Newton, the brilliant English scientist, helped develop and extend the latter's work in calculus, geometry and gravitation. A boy prodigy, MacLaurin was admitted to the University of Glasgow at age 11. At 19, he became a professor of mathematics (at Aberdeen) and two years later was admitted to the Royal Society of London. His most important work was Organic Geometry, with the Description of the Universal Linear Curves, published in 1720, in which he developed several theories similar to those in Newton's Principia. MacLaurin's active, inquiring mind can be discerned in his many books, including Account of Sir Isaac Newton's Philosophical Discoveries; Treatise of Algebra and A Tract on the General Properties of Geometrical Lines.

55. Biography.com Mackintosh, Sir Cameron (Anthony), 1946 . Mackmurdo, Arthur Heygate,1851 1942. maclaurin, colin, 1698 1746. Maclay, William, 1765 1825. http://search.biography.com/bio_browse.pl?letter=M&num=100

56. M’LENNAN, JOHN FERGUSON maclaurin, colin (1698—1746), Scottish mathematician, was the sonof a clergyman, and born at Kilmodan, Argylishire. In 1709 he http://14.1911encyclopedia.org/M/ML/M_LENNAN_JOHN_FERGUSON.htm

document.write(""); M’LENNAN, JOHN FERGUSON position, resuming it in 1820, and resigning it again in 1845. In £820 Maclaren was made editor of the sixth edition of the Encyclopaedia Britannica. From 1864—1866 he was president of the Geological Society of Edinburgh, in which city he died on the 10th of September 1866. See Sir W. Robertson Nicoll, Ian Maclaren (1908). when the fixed points all lie on a right line.” In 1722 Maclaurin travelled as tutor and companion to the eldest son of Lord Polwarth, and after a short stay in Paris resided for some timc in Lorraine, where he wrote an essay on the percussion of bodies which obtained the prize of the French Academy of Sciences for the year I 724. The following year he was elected professoi of mathematics in the university of Edinburgh on the urgent recommendation of Newton. After the death of Newton, ir 1728, his nephew, John Conduitt, applied to Maclaurin for hi~ assistance in publishing an. account of Newton’s life and discoveries. This Maclaurin gladly undertook, but the death oi Conduitt put a stop to the project. In 1740 Maclaurin divided with Leonhard Euler and Danie Bernoulli the prize offered by the French Academy of Sciences for an essay on tides. His Treatise on Fluxions was publishe at Edinburgh in 1742, in two volumes. In the preface he state~ that the work was undertaken in consequence of the attack 01 the method of fluxions made by George Berkeley in £734 Maclaurin’s object was to found the doctrine of fiuxions 01 geometrical demonstration, and thus to answer all objection

57. Algoritmi Per Funzioni Trigonometriche Translate this page maclaurin (colin), matematico scozzese (Kilmoddan 1698 - Edimburgo1746). Fu uno dei più insigni discepoli di Newton. Si dedicò http://www.vialattea.net/esperti/mat/taylor/

Se hai altre curiosita' formula qui la tua domanda Gaetano Partipilo chiede: Sono un giovane studente di matematica e vorrei sapere se esistono algoritmi approssimati che diano i valori di tutte le funzioni trigonometriche di qualsiasi angolo e non solo di quelli particolari.Grazie (risponde Carlo Consoli Approssimazione di funzioni tramite serie di potenze Il lavoro dei matematici Taylor e Maclaurin la serie di potenze in [1] è detta "centrata in a " e i c n sono detti coefficienti della serie di potenze Se esiste una serie di potenze che converge ad una funzione f(x) analitica R(n) detta resto dell’espansione parziale in serie di potenze in n termini. Se f(x) R(n) converge a zero al crescere di n La formula di Taylor fornisce l’espressione dell’espansione in serie di potenze di una funzione analitica f(x) Maclaurin se a=0 e l’espressione f (i) (x) derivata di ordine i-mo della funzione f(x) Approssimazione delle funzioni trigonometriche L’espansione polinomiale della funzione seno vale, quindi

58. Index To Guide J.) Gaelic MSS H28 Mackenzie (Sir James) 6 Mackenzie (Kenneth) 11 C3 MacKinlays Birnie Ltd H24 MacKinnon MSS Gaelic H28 maclaurin (colin) 5 Macmurray http://datalib.ed.ac.uk/projects/scimss/webguide/guideindex.html

Index to Guide Checklists have the prefix C Guides have the prefix G Handlists have the prefix H Paragraph numbers to the main text have no prefix Abercromby (Lord) Africa (MSS on) Album Amicorum Allinson (Thomas) Alston (Charles) America (MSS on) Anderson (John) Anderson (Sir R. Rowand) Appleton (Sir E.V.) Arabic MSS Arthur (John William) Auden (W.H.) Australia (MSS on) Avicenna Balfour (John Hutton) Balfour-Melville (E.W.M.) Ballads Ballantyne (H. and Sons Ltd.) Ballingall (Sir George) Barlow (Arthur Ruffell) Ben Line Shipping Bennett (John Hughes) Berriedale Keith (A.) Black (Joseph) Booth (Joseph) Borland (C.) Brewster (Sir David) Broadside ballads Brown (George Mackay) Bruce (Alexander Low) Buchan (John) Burns (Robert) Campbell (Colin) [Gaelic MSS] H38 [mathematical MSS] Carlyle (Thomas) Carmichael-Watson [Gaelic MSS] Challenger (H.M.S.) Chalmers (Sir Patrick) Charters (Laing) Charters (J.M.Thomson) Christison (Sir Robert) Collinson (Francis H.) Coltness Papers Compagnie francaise de l'Afrique occidental Cossar Ewart (J.) Cullen (William) Cunningham (Daniel J.)

59. Maclaurin Trisectrix -- From MathWorld maclaurin Trisectrix, A curve first studied by colin maclaurin in 1742.It was studied to provide a solution to one of the geometric http://mathworld.wolfram.com/MaclaurinTrisectrix.html

Geometry Curves Plane Curves Polar Curves ... Geometric Construction Maclaurin Trisectrix A curve first studied by Colin Maclaurin in 1742. It was studied to provide a solution to one of the geometric problems of antiquity , in particular trisection of an angle , whence the name trisectrix. The Maclaurin trisectrix is an anallagmatic curve , and the origin is a crunode The Maclaurin trisectrix has Cartesian equation or the parametric equations The asymptote has equation x = a , and the center of the loop is at . If P is a point on the loop so that the line CP makes an angle of with the negative y -axis , then the line OP will make an angle of with the negative y -axis The Maclaurin trisectrix is sometimes defined instead as Another form of the equation is the polar equation where the origin is inside the loop and the crossing point is on the negative x -axis The tangents to the curve at the origin make angles of with the x -axis . The area of the loop is and the negative x -intercept is MacTutor Archive The Maclaurin trisectrix is the pedal curve of the parabola where the pedal point is taken as the reflection of the focus in the conic section directrix Conchoid of de Sluze Conchoid of Nicomedes Right Strophoid ... Tschirnhausen Cubic References Lawrence, J. D.

60. Edinburgh University Library: Resources: Collections: Special Collections: Manus MSS Gaelic H28; maclaurin (colin) 5; Macmurray (John) H35; MalayMSS G5; Matthew (Sir Robert) 13; Medals (Russian) H21; Medieval MSS http://www.lib.ed.ac.uk/about/pubs/lg51/guide/index.shtml

Index to Guide Checklists have the prefix C, Guides have the prefix G, Handlists have the prefix H. Paragraph numbers to the main text have no prefix Abercrombie (David) Abercromby (Lord) Africa (MSS on) Album Amicorum Allinson (Thomas) Alston (Charles) America (MSS on) Anderson (John) Anderson (Sir R. Rowand) Appleton (Sir E.V.) Arabic MSS Arthur (John William) Auden (W.H.) Australia (MSS on) Avicenna Balfour (John Hutton) Balfour-Melville (E.W.M.) Ballads Ballantyne (H. and Sons Ltd.) Ballingall (Sir George) Barlow (Arthur Ruffell) Ben Line Shipping Bennett (John Hughes) Berriedale Keith (A.) Black (Joseph) Booth (Joseph) Borland (C.) Brewster (Sir David) Broadside ballads Brown (George Mackay) Bruce (Alexander Low) Buchan (John) Burns (Robert) Cameron (Colin) Campbell (Colin) [Gaelic MSS] H38 [mathematical MSS] Carlyle (Thomas) Carmichael-Watson [Gaelic MSS] Challenger (H.M.S.) Chalmers (Sir Patrick) Charters (Laing) Charters (J.M.Thomson) Chisholm (George G) Christison (Sir Robert) Clark (Arthur M) Collinson (Francis H.) Coltness Papers Compagnie francaise de l'Afrique occidental Cossar Ewart (J.)

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