61. Maclaurin Translate this page colin maclaurin. Fecha de primera versión 16-04-02 Fecha de últimaactualización 24/05/2002. Nació xx febrero de 1698 en Kilmodan http://www.terra.es/personal/jftjft/Historia/Biografias/Maclaurin.htm

Colin Maclaurin Fecha de primera versión: 16-04-02 Fecha de última actualización: Nació: xx febrero de 1698 en Kilmodan Murió: 14 junio de 1746 en Edimburgo (Escocia) Era hijo del ministro de la parroquia (el equivalente a nuestros curas). Su padre murió cuando tenía seis meses y su madre murió cuando tenía 9 años. Él y su hermano se fueron a vivir con su tío, que también era ministro de una parroquia. A los 11 años entró en la Universidad de Glasgow. La edad puede parecer sorprendente, desde la perspectiva de hoy, pero en aquella época la educación universitaria no era como la actual, era como una continuación de los estudios de la escuela. A los 12 años estudió por su cuenta el libro de Euclides Elementos , que tenía un compañero de habitación. Se graduó a los 14 años. En 1714, Maclaurin regresó con su tío y allí pasó unos años felices. En 1717 fue nombrado profesor de matemáticas del Colegio Mariscal de la Universidad de Aberdeen, después de 10 días de exámenes con otros candidatos que competían por el puesto. En 1719 hizo un viaje a Londres donde conoció a Newton (algunos biógrafos dicen que Maclaurin nunca se encontró con Newton , sin embargo en una de sus cartas Maclaurin dice que se conocieron) y fue nombrado miembro de la Royal Society.

62. WescNet: Send Me Money WescNet. colin maclaurin. colin maclaurin was born in February of 1698in Kilmodan, Argyllshire, Scotland. He attended the University http://wescnet.tripod.com/maclaurin.html

Get Five DVDs for $.49 each. Join now. Tell me when this page is updated WescNet Colin Maclaurin Colin Maclaurin was born in February of 1698 in Kilmodan, Argyllshire, Scotland. He attended the University of Glasgow at age eleven (not unusual back then) and graduated at age fourteen. After graduation he remained at Glasgow to study divinity for a period and in 1717, at age nineteen, he became professor of mathematics at Marischal College in the University of Aberdeen. In 1725 he was appointed deputy of the mathematical professor at Edinburgh, James Gregory (nephew of the famous James Gregory), upon the recommendation of Isaac Newton, who actually offered to pay Maclaurin's salary, being so impressed with his work. Eventually, Maclaurin went on to succeed Gregory. (An interesting aside, the Maclaurin series for many trigonometric functions was developed and published by James Gregory before Maclaurin was even born, but Maclaurin wasn;t aware of this and published them in Methodus incrementorum directa et inversa In 1733 he married Married Anne Stewart, the daughter of the Solicitor General of Scotland.

63. 37-021|NSR|NSR Allgemein|Wer Is Wer? Translate this page Legendre-Polynome (WR). M maclaurin, colin, englischer Mathematiker(1698-1746), Euler-maclaurin'sche-Summenformel. N Neumann, John http://www.wr.inf.ethz.ch/education/nsr/general/who.html

Willkommen Kontakt Vorlesung Inhalt ... NSR im WWW Wer is wer? Wer is wer? NSR Celebreties schreibt eine Mail! (Brent und Neville habe ich leider vergeblich gesucht.) A Aitken, Alexander Craig Aitken-Neville-Schema B Banach, Stefan Banach-Raum C Cauchy, Augustin Louis Cotes, Roger englischer Mathematiker (1682-1716). Newton-Cotes-Quadratur-Formeln (WR) Cramer, Gabriel Cramersche Regel D Dirichlet, Gustav Peter Lejeune E Euler, Leonhard Euler-Maclaurin'schen Summenformel (WR) wichtig. F Frobenius, Ferdinand Georg deutscher Mathematiker (1849-1917). Frobenius-Norm G Galerkin, Boris Grigorievich russischer Mathematiker (1871-1945), Galerkin-Bedingung (WR) Galois, Evariste Gander, Walter Adaptive Quadratur (WR) Gauss, Carl Friedrich Gauss-Algorithmus , die Normalengleichungen , die Gauss-Quadratur (WR) und die Gauss-Seidel-Iteration Givens, Wallace amerikanischer Mathematiker (1911-1993), QR-Zerlegung ( Givens-Rotationen Golub, Gene amerikanischer Mathematiker und Informatiker, hat u.a. den Algorithmus zur Berechnung der gefunden. Gonnet, Gaston H. Gram, Jorgen Pedersen QR-Zerlegung nach Gram-Schmidt (Orthogonalisierungsverfahren) H Hermite, Charles

64. Club-Internet Encyclopédie Translate this page colin (Paul) colin de Blamont (François) colin-maillard colin Muset colin-tamponCampbell (Sir colin) Clark (colin Grant) maclaurin (colin) Turnbull (colin http://www.club-internet.fr/cgi-bin/h?Colin

65. 1Up Info > Maclaurin, Colin (Mathematics, Biographies) - Encyclopedia You are here 1Up Info Encyclopedia Mathematics, Biographies maclaurin,colin, 1Up Info A Portal with a Difference. maclaurin, colin. http://www.1upinfo.com/encyclopedia/M/Maclauri.html

You are here 1Up Info Encyclopedia Mathematics, Biographies Maclaurin, Colin ... News Search 1Up Info ENCYCLOPEDIA Mathematics, Biographies Maclaurin, Colin Related Category: Mathematics, Biographies Maclaurin, Colin [m n] Pronunciation Key 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 Related Resources and Utilities AMAZON All Products Books Magazines Popular Music Classical Music Video DVD Electronics Software Outdoor Living Wireless Phones Computers Outlet Read articles on eLibrary: Related Links calculus Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities. Home Contact Us Privacy Links Directory ©1Up Info

66. Calculus HistMath/People/Lagrange/RouseBall/RB_Lagrange.html. 4, maclaurin,colin (16981746). Scottish mathematician who became a disciple http://www.ad.com/Science/Math/Mathematicians/Calculus/

search Top Categories: Leibniz, Gottfried Wilhelm @ Newton, Isaac Bernoulli, Jakob (1654-1705) Swiss mathematician (aka Jacque I or James I) brother of Johann Bernoulli. they are considered the most important founder of Calculus with the exception of Newton, the two had bitter arguments about Category: Science > Math > Mathematicians > Calculus http://www.treasure-troves.com/bios/BernoulliJakob.html Bernoulli, Johann (1667-1748) Pioneers in the field of calculus, appied the new tool to real problems, life was one of the most controversial of any mathematician, member of the world's most successful mathematical family, also Category: Science > Math > Mathematicians > Calculus http://www.shu.edu/projects/reals/history/bernoull.html Lagrange - Joseph Louis Lagrange (1736-1813) The greatest mathematician of the 18th century, in his letter, written at 19, to Euler, he solved the isoperimetrical problem, to effect the solution he enunciated the principles of the calculus of Category: Science > Math > Mathematicians > Calculus http://www.maths.tcd.ie/pub/HistMath/People/Lagrange/RouseBall/RB_Lagrange.html Maclaurin, Colin (1698-1746)

67. ¼¼°èÀÇ ¼öÇÐÀÚ Leonardo da Vinci. maclaurin, colin. August Ferdinand Mobius. Monge, Gaspard/Peluse, Comte de. http://math.dongeui.ac.kr/main/mathman/mathman_main.htm

KAIST ¼öÇаú TEL : (051) 890-1470 FAX : (051) 890-1470 Gauss, Karl Friedrich Goel, Kurt Galois, Evariste Gregory, James ... Christiaan Huygens

68. Algemene Cissoiden figuur strofoide). Een andere bijzondere strofoïde is de trisectrixvan maclaurin (colin maclaurin, 16981746, Schotland). terug, L http://www.pandd.demon.nl/acisso.htm

Algemene cissoïden Overzicht Cissoïde van Diokles Meetkunde Analyse 0. Overzicht Definitie en inleiding Eigenschappen Twee cirkels Limaçon van Pascal (cardioïde) Twee rechte lijnen Rechte lijn en cirkel Strofoïden Trisectrix van Maclaurin ... Download 1. Definitie en inleiding Definitie Gegeven zijn twee (kromme) lijnen K en L, en een vast punt O. Zij X een willekeurig punt op K en. m de lijn door O en X. Zij Y het (een snijpunt) van m met L. De meetkundige plaats van de punten A en A op m met OA = OA = XY is de cissoïde van K en L met pool O Klik hier voor een CabriJavapplet (figuur: acisso1). Opmerkingen Meestal wordt slechts dat punt A bekeken, waarvoor geldt dat A = t (O) en dat t de translatie is over de vector XY (in de figuur is dat het punt A Als L en m meerdere snijpunten hebben, dan labelen we de snijpunten als Y , Y , ... en de beeldpunten bij de translatie als A , A [einde Opmerkingen] Het is ook mogelijk het cissoïde-proces toe te passen op een enkele kromme lijn L (mits de lijn door O twee of meer snijpunten heeft met L. Hierbij wordt het punt X met alle voorkomende snijpunten Y i verbonden.

69. IEE - Famous Scottish Technologists And Scientists - M Responsible for some of the earliest accounts of the geology of Arthur's Seat.maclaurin colin. Born 1698, Kilmodan, Argyll Died 1748 Mathematician. http://www.iee.org/TheIEE/Locations/SEC/Famous/sts_m.cfm

Login or Register Shop Help Search ... Contacts Glasgow, The Teacher Building Famous Scottish Technologists and Scientists - M MacADAM - John Loudon Born: 1756, Ayr Died: 1836 Surveyor General of Metropolitan Roads (1872) Established the system of road construction still in use today. MacADAM - Stevenson Died: 1901 Educationalist Strongly supported through his publications, the establishment and maintenance of a system of technical education to meet the requirements of arts, manufacturers and commerce. MacARTHUR - James Stewart Born: 1856, Glasgow Died: 1920 Chemist and Metallurgist Worked as a chemist with Charles Tennant. Working with William and Robert Forrest, experimented and developed a process to extract gold from its ore with a cyanide solution. Patented the MacArthur Forrest process. This process was widely use in the development of gold mining in South Africa. In his latter pioneered the production of radium. MacCOLL - Sir Edward Born: 1882, Dumbarton Died: 1951 Electrical Engineer As chief electrical engineer played a leading part in the development of the Falls of Clyde Hydro-Electric scheme. Created in Scotland, first regional electricity supply grid in Britain, standardized on 50Hz and 132kV. Proposed in 1936, a large scale pumped storage hydro-electric scheme linking Loch Sloy and Loch Lomond. Eventually saw as deputy chairman and chief engineer, Scottish Hydro-Electric, similar scheme at Loch Sloy, Tummel Garry and Affric. MacCULLOCH - John Born: 1773, Edinburgh

70. University Of Gloucestershire : About The School -> The Staff -> Millss-bib s RAE Codes) (Starred Items indicate relevance to navigational aids) A Books 1 TheCollected Letters of colin maclaurin, 1982, Nantwich Shiva Publishing Ltd. http://www.glos.ac.uk/business/content.asp?pid=66

71. Bloomsbury Book Auctions maclaurin (colin) Pièce qui a remporté le Prix de l'Academie Royale des Sciences,first edition, woodcut device on title and decorations, folding engraved http://www.bloomsbury-book-auct.com/html/434/page2.htm

previous page . Kelvin (William Thomson, Lord ) and Peter Guthrie Tait. Treatise on Natural Philosophy, vol.1 (all published), first edition one gathering becoming loose, Oxford, 1867; Elements of Natural Philosophy, Part 1 (all published), Oxford, 1873; Treatise on Natural Philosophy, Part 1 (all published), 2 vol., Cambridge, half-titles, diagrams, advertisement leaf at beginning of the last, the second and third with ink signatures on titles, original cloth, a little rubbed, 8vo "One of the most influential physics textbooks of the 19th century, this was originally conceived as a multi-volume work covering the entire field of physics. While only the volumes on kinematics and dynamics were completed, they clearly reveal Thomson's preoccupation with the dynamical foundations of physical science." Bib.Mech.Cat. The second item is a portion of the first. Kelvin (William Thomson, Lord Mathematical and Physical Papers, 6 vol., first edition half-titles, vol.3 with errata slip tipped in after errata leaf and advertisement leaf at end, vol.6 with advertisement leaf at beginning, 29 plates and tables, some folding, illustrations, ink ownership inscription on front free endpaper of some volumes with portrait of Kelvin laid down on front paste-down of vol.1, a few pencilled annotations, original green cloth, 8vo, Cambridge, Kelvin (William Thomson

72. Portrait-Index: Mac Clellan / Mylius  |  ANTIQUARIAT HILLE / BERLIN Translate this page MacArdell, James. Mackintosh, Jakob. maclaurin, colin. Maffejus Volaterranus,Raph. Magliabechius, Ant. Magna Konczyce Mniszech, Joseph Vandalinus Graf von. http://www.portrait-hille.de/inx/inxnam_m.htm

Mac Clellan (McClellan), George Brinton Mac Mahon, M.E.P.M. de, Herzog von Magenta ... MAILAND: Odo de Visconti x MAINZ: Albert (Albrecht), Markgraf von Brandenburg Anselm Casimir Wambold von Umstatt Johann Philipp von Schönborn ... Johann Schweichardt von Kronberg x Majer, Johann Georg Major, Georg ... , Prosper o Marescotti, Galeazzo Marezoll, Johann Gottlob ... Leonhard x MECKLENBURG: Friedrich Franz, Großherzog von Mecklenburg-Schwerin Helene Luise Elisabeth, ... Großherzog von Mecklenburg-Schwerin x Mederer und Wuthwer, Matth. Mehhdy Méhul, ... Johann Heinrich Porträtsammlung Klaus Hille Berlin www.portrait-hille.de

73. életrajzok: M maclaurin, colin (1698. február ?—1746. január 14.) skót matematikus.Pályafutását csodagyerekként kezdte 11 évesen http://www.iif.hu/~visontay/ponticulus/eletrajzok/m.html

rovatok j¡t©k arch­vum jegyzetek mutat³k kitekintő v©lem©nyek inform¡ci³k ©letrajzok magyar¡zatok forr¡sok MACLAURIN, Colin (1698. febru¡r ?—1746. janu¡r 14.): sk³t matematikus. P¡lyafut¡s¡t csodagyerekk©nt kezdte: 11 ©vesen ©retts©gizett, 15 ©vesen magiszteri fokozatot szerzett, 19 ©vesen m¡r a aberdeeni Marishal College matematika tansz©k©nek vezetője. Első munk¡j¡t 21 ©ves kor¡ban publik¡lta. C­me Rendszeres geometria volt ©s fontos algebrai geometriai eredm©nyeket tartalmazott. Egy k©sőbbi munk¡j¡ban NEWTON fluxi³elm©let©t fejlesztette tov¡bb. Ebben a műben szerepelt a Maclaurin-sor is, amely a Taylor-sor speci¡lis esete. MAGYARORSZGI GY–RGY Mester (Georgius de Hungaria) (?, 1422?—R³ma, 1502): magyar matematikus. Ő ­rta 1499-ben az első, magyar szerzőtől sz¡rmaz³ matematikai művet. ‰let©ről keveset tudunk. Val³sz­nűleg a pozsonyi egyetem di¡kja volt. M©g di¡k kor¡ban elhurcolt¡k a t¶r¶k¶k. Harminc ©vi rabs¡g ut¡n t©rt haza. Domonkosrendi szerzetes lett ©s a hollandiai Utrecht k¶zel©ben telepedett le. Sz¡mol³mesterk©nt is műk¶d¶tt. Latin nyelven jelent meg a Magyarorsz¡gi Gy¶rgy Mester (Georgius de Hungaria) aritmetik¡j¡nak foglalata h¡rom r©szben c­mű műve. A 20 oldalas k¶nyvecsk©t, mint ősnyomtatv¡nyt 1965-ben ºjra kiadt¡k Hollandi¡ban.

74. McLaurin And Brooke Taylor Lecture 22 colin maclaurin and Brooke Taylor. Background to the text.colin maclaurin (16981746), Professor of Mathematics in Aberdeen http://www.maths.uwa.edu.au/~schultz/3M3/L22McLaurin.html

Lecture 22: Colin MacLaurin and Brooke Taylor Background to the text Colin Maclaurin (16981746), Professor of Mathematics in Aberdeen at the age of 19 and in Edinburgh at 25 on the recommendation of Newton, was the foremost British mathematician in the generation following Newton. He did important work in Euclidean geometry, algebraic geometry (properties of curves described by rational functions in two or three variables), and of course series. The Maclaurin series itself had already been published by Brook Taylor, as well as James Gregory, Jean Bernoulli and James Stirling. However Maclaurin's method of obtaining the coefficients was original. Some of his most important work was in solutions of linear systems, including determinants and Cramer's Rule (before Cramer). We now consider his response to Berkeley, for which he wrote his Treatise on Fluxions . This is by far the most satisfactory of many attempts to refute Berkeley in the period 1740-1750. MacLaurin's aim is to demonstrate the validity of Newton's Method of Fluxions by the rigorous mathods of geometry. In fact, he tries to replace all arguments involving infinitesimals by the method of exhaustion. The extract we study concerns the fluxion of A when A is a uniformly flowing point with fluxion a. It relies on a previous section of the treatise in which he had shown

75. Clínica De Matemática - Biografias Translate this page Biografias / colin maclaurin. colin maclaurin nasceu em fevereiro de 1698 em Kilmodan,Escócia, e morreu no dia 14 de junho de 1746 em Edinburgh, Escócia . http://www.clinicadematematica.com.br/Maclaurim.htm

Biografias / Colin Maclaurin Colin Maclaurin nasceu em fevereiro de 1698 em Kilmodan, Escócia, e morreu no dia 14 de junho de 1746 em Edinburgh, Escócia . Nasceu em Kilmodan onde o seu pai era o ministro da paróquia. A aldeia (população 387 em 1904) está no rio Ruel e a igreja está em Glendauel. Ele foi um estudante em Glasgow. Ele se tornou professor de matemática na Faculdade de Marischal, Aberdeen, de 1717 a 1725 e então na Universidade de Edinburgh de 1725 até 1745. Ele fez um trabalho notável em geometria, particularmente estudando curvas planas. Ele escreveu uma memória importante na chamada teoria das marés. Maclaurin foi eleito um membro da Sociedade Real em 1719 e em 1724 foi premiado pela Academia de Ciências pelo seu trabalho no impacto de corpos. Em 1740 ele foi premiado com outro prêmio da Academia de Ciências pelo estudo das marés. Este prêmio foi dado juntamente a Maclaurin, Euler e Daniel Bernoulli. O primeiro trabalho importante de Maclaurin foi a Geometrica Organica... publicado em 1720. Em 1742 ele publicou o seu Tratado de 2 volumes, a primeira exposição sistemática dos métodos de Newton escrita como uma resposta ao ataque de Berkeley no cálculo para sua falta de fundamentos rigorosos. Esse Tratado é um trabalho principal de 763 páginas, muito louvado por aqueles que o leram, mas surpreendentemente de pequena influência.

76. Great Mathematicians - In Chronological Order maclaurin maclaurin, colin maclaurin Born Feb 1698 in Kilmodan,Argyllshire, Scotland Died 14 June 1746 in Edinburgh, Scotland http://www.sp.edu.sg/departments/ms/Math/Great Mathematicians/greatmath-chrono.h

Mathematics Science Computing Home ... Enquiry Great Mathematicians - in chronological order Love them, hate them... but first, get to know them... Materials summarised from: MacTutor History of Mathematics archive "The archive contains the biographies of more than 1100 mathematicians... and more extensive references ... + Alphabetical or Chronological Biographical indexes ." Alphabetical Order Chronological Order Pythagoras Pythagoras of Samos Born: about 580 BC in Samos, Ionia Died: about 520 BC in Metapontum, Lucania Pythagoras of Samos was a Greek philosopher responsible for important developments in mathematics, astronomy and the theory of music. Although the theorem now known as Pythagoras's theorem was known to the Babylonians 1000 years earlier he may have been the first to prove it. Archimedes Archimedes of Syracuse Born: 287 BC in Syracuse, Sicily Died: 212 BC in Syracuse, Sicily Archimedes greatest contributions were in geometry. His methods anticipated the integral calculus 2,000 years before Newton and Leibniz. Fibonacci Leonardo Pisano Fibonacci Born: 1170 in (probably) Pisa (now in Italy) Died: 1250 in (possibly) Pisa (now in Italy) Fibonacci or Leonard of Pisa, played an important role in reviving ancient mathematics and made significant contributions of his own.

77. Great Mathematicians Probability. Taylor, Brook, (16851731), England, Taylor Series. maclaurin,colin, (1698-1746), Scotland, maclaurin Series. Cramer, Gabriel, http://www.sali.freeservers.com/engineering/maths.html

Free Web site hosting - Freeservers.com Home Page About Me Contact Me Photo Gallery 1 Photo Gallery 2 Family Album Engineering Stuff Sports Stuff Tennis Page Favorite People Links Galore Cool Links Kerala Page About Calicut HTML Tutorial Guest Book Home Page Engg. Home CFD Engg. Books ... RECT Faculty The finest mathematicians of all time who had a profound influence in the development of pure and applied mathematics Name Period Country Field of Contribution Descartes, Rene France Invented Analytical Geometry Fermat, Pierre de France Gregory, James Scotland Numerical Interpolation Newton, Isaac England Inventor of Differential and Integral Calculus Leibnitz, Gottfried Wilhem Germany Along with Newton he is also credited for invention of Calculus Raphson, Joseph England Numerical Integration Rolle, Michel France Rolle's Theorem Bernoulli, Jakob Swiss Mathematical Probability and Elasticity L'Hôpital, Guillaume François France L'Hôpital Rule Bernoulli, Johann Swiss Development of Calculus de Moivre, Abraham France Analytic Geometry and Theory of Probability Taylor, Brook

78. Bibliography 36 colin maclaurin. A Treatise on Fluxions. In two volumes. The CollectedLetters of colin maclaurin. Shiva Publishing Limited, Nantwich, 1982. http://www.hifm.no/~matematikk/ansatte/bjorns/bibliography.htm

Bibliography - S. Austin Allibone. A Critical Dictionary of English Literature and British and American Authors Living and Deceased From the Earliest Accounts to the latter half of the nineteenth century . J. B. Lippincott Company, Philadelphia, 1890. - Margaret E. Baron. The Origins of the Infinitesimal Calculus . Pergamon Press, Oxford, 1969. - George Berkeley. The Analyst: or a Discourse addressed to an Infidel Mathematician Wherein it is examined whether the objects, principles, and inferences of the modern Analysis are more distinctly conceived, or more evidently deduced, than religious Mysteries and points of Faith - George Berkeley. A Defence of Free-Thinking in Mathematics: in answer to a pamphlet of Philalethes Cantabrigiensis, intituled, 'Geometry no friend to infidelity, or a Defence of Sir Isaac Newton, and the British mathematicians,' Also an appendix concerning Mr. Walton's 'Vindication of the principles of fluxions against the objections contained in the Analyst' . R. Gunne and J. Tonson, Dublin and London, 1735. - Bent Birkeland. Newton og matematikken.

79. M Index M Vocabulary Index. m,; M,; M matrix,; M test,; maclaurin series,; maclaurin'sformula; maclaurin, colin; macrostate,; magic square,; magnetic http://www.mathresources.com/products/mathresource/demo/indices/index_m.htm

M Vocabulary Index m, M, M matrix, M test, Maclaurin series, Maclaurin's formula Maclaurin, Colin macrostate, magic square, magnetic field, magnitude, main connective, main diagonal major, major axis, major premise, major term, majorize, manifold, Mann-Whitney test, mantissa, many-one, many-valued logic, map, mapping marginal distribution, marginal expectation, marginal probability, marginal probability measure, market equilibrium, Markov chain marksman, marriage theorem, martingale, Mascheroni's constant, mass, matched-pairs design, matching, mate, material conditional, material derivative, material description material implication math mathematical, mathematical expectation, mathematical induction, mathematical logic, mathematical probability mathematical programming, mathematics, Mathieu's differential equation, matric, matrix, matrix of coefficients, matroid, max, max-flow min-cut theorem, maximal, maximal domain, maximal ideal, maximin, maximize, maximized likelihood, maximizing, maximum maximum condition

80. Trissectriz De Maclaurin Translate this page A linha castanha da figura abaixo designa-se por trissectriz de maclaurin. Foi estudadapela primeira vez pelo matemático escocês colin maclaurin, em 1742. http://www.fc.up.pt/mp/jcsantos/trissectriz.html

Trissectriz de Maclaurin A linha castanha da figura abaixo designa-se por trissectriz de Maclaurin . Foi estudada pela primeira vez pelo matemático escocês Colin Maclaurin , em 1742. Lastimo, mas esta página exige um browser compatível com Java! A definição geométrica da trissectriz de Maclaurin é a seguinte: parte-se de uma circunferência de centro O e diâmetro AB seja C o ponto médio do segmento AO considera-se a recta perpendicular a AB que passa por C dado um ponto P qualquer da circunferência, seja Q o ponto da recta anterior que pertence ao segmento AP seja P' o ponto do segmento AP tal que a distância de A a P' seja igual à distância de Q a P Então a trissectriz é o conjunto dos pontos P' obtidos quando P percorre a circunferência. Se se carregar no botão «Animação» ou se se mexer no ponto P BAP' BOP' ; daí o nome «trissectriz». Nota: Caso esteja a ver na linha anterior, antes de BAP' e de BOP' upgrading do seu browser BAP' BOP' BOP' BOP POP' BOP BAP BAP POP' têm a mesma amplitude. Veja-se agora que o triângulo AOP é isósceles; os segmentos AO e OP OAP OPA têm a mesma amplitude. Resulta daqui que os triângulos

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