21. Alexis Claude Clairaut (1713 - 1765) Portrait of alexis clairaut alexis clairaut. JOC/EFR August 2001 http://www.maths.tcd.ie/pub/HistMath/People/Clairaut/RouseBall/RB_Clairaut.html

Alexis Claude Clairaut (1713 - 1765) From `A Short Account of the History of Mathematics' (4th edition, 1908) by W. W. Rouse Ball. Alexis Claude Clairaut was born at Paris on May 13, 1713, and died there on May 17, 1765. He belongs to the small group of children who, though of exceptional precocity, survive and maintain their powers when grown up. As early as the age of twelve he wrote a memoir on four geometrical curves; but his first important work was a treatise on tortuous curves, published when he was eighteen - a work which procured for him admission to the French Academy. In 1731 he gave a demonstration of the fact noted by Newton that all curves of the third order were projections of one of five parabolas. In 1741 Clairaut went on a scientific expedition to measure the length of a meridian degree on the earth's surface, and on his return in 1743 he published his . This is founded on a paper by Maclaurin, wherein it had been shewn that a mass of homogeneous fluid set in rotation about a line through its centre of mass would, under the mutual attraction of its particles, take the form of a spheroid. This work of Clairaut treated of heterogeneous spheroids and contains the proof of his formula for the accelerating effect of gravity in a place of latitude l , namely, where G is the value of equatorial gravity

22. Clairaut Portrait alexis clairaut. JOC/EFR August 2001 The URL of this page is © Copyright information.http//wwwhistory.mcs.st-andrews.ac.uk/history/PictDisplay/clairaut.html. http://www-gap.dcs.st-and.ac.uk/~history/PictDisplay/Clairaut.html

Alexis Clairaut JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Clairaut.html

23. Clairaut Biography of alexis clairaut (17131765) alexis Claude clairaut. Born 7 May 1713 in Paris, France http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Clairaut.html

Alexis Claude Clairaut Born: 7 May 1713 in Paris, France Died: 17 May 1765 in Paris, France Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Alexis Clairaut 's father, Jean-Baptiste Clairaut, taught mathematics in Paris and showed his quality by being elected to the Berlin Academy. Alexis's mother, Catherine Petit, had twenty children although only Alexis survived to adulthood. Jean-Baptiste Clairaut educated his son at home and set unbelievably high standards. Alexis used Euclid 's Elements which provided a good introduction to the differential and integral calculus as well as analytical geometry. In the following year, Clairaut went on to study 's books, in particular his famous text Analyse des infiniment petits pour l'intelligence des lignes courbes. Few people have read their first paper to an Academy at the age of 13, but this was the incredible achievement of Clairaut's in 1726 when he read his paper to the Paris Academy. Although we have already noted that Clairaut was the only one of twenty children of his parents to reach adulthood, he did have a younger brother who, at the age of 14, read a mathematics paper to the Academy in 1730. This younger brother died in 1732 at the age of 16.

24. MATEMÁTICOS CÉLEBRES Translate this page BOOLE, George BRAHE, Tycho BRAHMAGUPTA BRIGGS, Henry CANTOR, George CARDANO GerónimoCAVALIERI, Bonaventura clairaut, alexis Claude COPÉRNICO, Nicolás. http://almez.pntic.mec.es/~agos0000/LisAutor.html

ABEL, Niels Henrik AL-KHWARIZMI Muhammad Ibn-Musa APOLONIO ARYABHATA ABEL, Niels Henrik AL-KHWARIZMI Muhammad Ibn-Musa APOLONIO ARYABHATA ... WEIERSTRASS, Carlos

25. Clairaut, Alexis Claude. The Columbia Encyclopedia, Sixth Edition. 2001 clairaut, alexis Claude. (äl ks s´ kl d kl r ´) (KEY) , 171365, French mathematician. http://www.bartelby.com/65/cl/Clairaut.html

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26. Clairaut, Alexis (1713-1765) -- From Eric Weisstein's World Of Scientific Biogra clairaut, alexis (17131765), French mathematician whose precocityhad been expressed early in childhood. He wrote Théorie de la http://scienceworld.wolfram.com/biography/Clairaut.html

Branch of Science Mathematicians Nationality French Clairaut, Alexis (1713-1765) French mathematician whose precocity had been expressed early in childhood. He wrote (1743), a treatise dealing with the shape of rotating solid bodies, far surpassing Newton in his analysis. He accompanied Maupertuis in the expedition to Lapland to determine if the Earth were oblate or prolate in shape. Clairaut calculated the effect that Saturn and Jupiter would have on the 1759 appearance of Halley's comet and correctly predicted its return to within a month. He also noted that Newton's prediction of the motion of the Moon was seriously wrong. He redid the calculation, found an error in Newton's derivation, and obtained the correct result. His (1752) made use of potential theory. He studied the family of ordinary differential equations which are named after him. In his (1731), he studied projections of curves. He observed the equality of mixed partial derivatives His textbook went through six editions. Maupertuis Additional biographies: MacTutor (St. Andrews)

27. Photo Credits From Eric Weisstein's World Of Scientific Biography 1951) http//www.ams.org/notices/199904/comm-bocher-prz.pdf Christoffel, Elwin(1882-1935) MacTutor clairaut, alexis (1713-1765) MacTutor Clausius, Rudolf http://scienceworld.wolfram.com/biography/photo-credits.html

scienceworld@wolfram.com Abbe, Ernst (1840-1905) : MacTutor Abel, Niels Henrik (1802-1829) : MacTutor Adams, John Couch (1819-1892) : MacTutor Airy, George (1801-1892) : MacTutor Al-Khwarizmi, Muhammed ibn Musa (ca. 780-ca. 850) : MacTutor Albertus Magnus (1193-1280) : MacTutor : Asimov Appell, Paul Emile (1855-1930) : Special functions poster Appleton, Edward V. (1892-1965) : Hey, J. S. The Evolution of Radio Astronomy. p. 75 Arago, Dominique (1786-1853) : MacTutor Archimedes of Syracuse (ca. 287-ca. 212 BC) : Asimov Aristotle of Stagira (384-322 BC) : Asimov Armstrong, Edwin (1890-1954) : Lewis, T. Empire of the Air. p. 118f. Arnol'd, Vladimir : Oleg's newspaper clipping Arrhenius, Svante (1859-1927) : Asimov Asclepius (ca. 1200 BC) : Lindberg, D.C The Beginning of Western Science. p. 112. Baade, Walter (1893-1960) : Sullivan. The Early Years of Radio Astronomy. p. 74 Babbage, Charles (1791-1871) : http://www.fourmilab.ch/babbage/figures/babbage.jpg Bacon, Roger (1220-1292) : Asimov 108f Barnes, Ernest (1874-1953) : Special functions poster Barrow, Isaac (1630-1677)

28. Clairaut, Alexis Claude Pronunciation Key. clairaut, alexis Claude , 1713 65 , French mathematician. http://www.factmonster.com/ce6/people/www.factmonster.com/ce6/people/A0812374.ht

Encyclopedia Clairaut, Alexis Claude O d kler O Pronunciation Key Clairaut, Alexis Claude , French mathematician. He assisted P. L. M. de Maupertuis in measuring (1736) a degree of an arc of a meridian in Lapland. He is noted for his work on differential equations and on curves and for formulating Clairaut's theorem dealing with geodesic lines on the surface of an ellipsoid. Clairton AD AD AD AD AD Print this page Cite this page Awards and Press Link to Fact Monster Add Fact Monster search ... Privacy

29. Clairaut, Alexis Claude. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. clairaut, alexis Claude.(äl ks s´ kl d kl r ´) (KEY) , 1713–65, French mathematician. http://www.bartleby.com/65/cl/Clairaut.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Clairaut, Alexis Claude

30. Clairaut, Alexis Claude Pronunciation Key. clairaut, alexis Claude , 1713 65 , French mathematician. http://infoplease.lycos.com/ce6/people/A0812374.html

Educational GamesTeachers ZoneNutritionHouse Works ... Body Works All Infoplease All Almanacs General Entertainment Sports Biographies Dictionary Encyclopedia AlmanacsAtlasDictionaryEncyclopedia ... Encyclopedia Clairaut, Alexis Claude O d kler O Pronunciation Key Clairaut, Alexis Claude , French mathematician. He assisted P. L. M. de Maupertuis in measuring (1736) a degree of an arc of a meridian in Lapland. He is noted for his work on differential equations and on curves and for formulating Clairaut's theorem dealing with geodesic lines on the surface of an ellipsoid. Clairton Infoplease HomeDaily AlmanacWorldSports ... Business Development Your use of this website constitutes acceptance of the Lycos Network and Entertainment Family Zone Reference Family Zone Recipes/Entertaining Grandparents Gardening ... Health Books

31. Cire Perdue To Cleburne, Patrick Ronayne. Alphabetic Index To Entries. The Colum Claflin, Tennessee. Claiborne, William. Claiborne, William Charles Coles. Clair,René. clairaut, alexis Claude. Clairton. clairvoyance. Clallam. clam. Clamart. http://www.bartleby.com/65/index53.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. cire perdue to Cleburne, Patrick Ronayne

32. Clairaut, Alexis Claude encyclopediaEncyclopedia clairaut, alexis Claude, älekses' klOd klerO' PronunciationKey. clairaut, alexis Claude , 1713–65, French mathematician. http://www.infoplease.com/ce6/people/A0812374.html

The # 1 wireless color security cam! Ultimate home movie ! Genuine Indian and Asian astrology reports and consultations by reputed Vedic Astrologers. Step-by-step guide to finding money for a growing business All Infoplease All Almanacs General Entertainment Sports Biographies Dictionary Encyclopedia Infoplease Home Almanacs Atlas Dictionary ... Fact Monster Kids' reference Info:Daily Fun facts Homework Center Newsletter You've got info! Help Site Map Visit related sites from: Family Education Network Encyclopedia Clairaut, Alexis Claude O d kler O Pronunciation Key Clairaut, Alexis Claude , French mathematician. He assisted P. L. M. de Maupertuis in measuring (1736) a degree of an arc of a meridian in Lapland. He is noted for his work on differential equations and on curves and for formulating Clairaut's theorem dealing with geodesic lines on the surface of an ellipsoid. Clairton Search Infoplease Info search tips Search Biographies Bio search tips About Us Contact Us Link to Infoplease ... Privacy

33. CLAIRAUT, Alexis Claude, Recherches Sur Les Courbes A Double Courbure. WP Watson Antiquarian Books. clairaut, alexis Claude Recherches sur lescourbes a double courbure. Paris, Nyon, Didot and Quillau, 1731. http://www.polybiblio.com/watbooks/2562.html

W. P. Watson Antiquarian Books CLAIRAUT, Alexis Claude Recherches sur les courbes a double courbure. Paris, Nyon, Didot and Quillau, 1731 4to (246 x 178 mm), pp [8],119 [3], with six folding engraved plates; a fine copy in contemporary vellum. £2850 First edition of Clairaut's first publication, a treatise on gauche or tortuous curves and the first extended treatment of the geometry of curves in three dimensions, written when he was only sixteen. It demonstrates the fact noted by Newton that all third-order curves are projections of one of five parabolas. This publication led to Clairaut's election to the Académie des Sciences at the age of eighteen, the rules of admission being suspended to accommodate the mathematical prodigy. Parkinson p 149; NUC: DLC MH MB NSyU NIC WU NN NjP MBAt; OCLC adds City College New York, Illinois, Linda Hall, Stanford, and Trinity College Connecticut This item is listed on Bibliopoly by W. P. Watson Antiquarian Books ; click here for further details.

34. CLAIRAUT, Alexis Claude ( 1713-1765 )., Theorie De La Figure De La Terre. Paolo Pampaloni Antiquarian Bookseller. clairaut, alexis Claude ( 17131765). Theorie de la figure de la terre. Paris, chez David fils ,1743. http://www.polybiblio.com/pampa/219.html

Paolo Pampaloni Antiquarian Bookseller CLAIRAUT, Alexis Claude ( 1713-1765 ). Theorie de la figure de la terre. Paris, chez David fils ,1743. First edition."The Theorie is to some degree the theoretical epilogue to his Lapland expedition and to the series of polemics on the earth's shape, an oblate ellipsoid, according to Newton and Huygens, a prolate ellipsoid, according to the Cassinis.In this work Clairaut substantiated Newton's proof on the shape of the earth" (DSB, III, 282 ). Lalande, 419: "Cet ouvrage est un des meilleurs qu'il y ait sur cette matière on y trouve la démonstration rigoreuse de l'aplatissement de la terre per l'attraction et la force centrifuge.." This item is listed on Bibliopoly by Paolo Pampaloni Antiquarian Bookseller ; click here for further details.

35. CLAIRAULT (or CLAIRAUT), ALEXIS CLAUDE CLAIRAULT (or clairaut), alexis CLAUDE. CLACTONON-SEA, a watering-placein the Harwich parliamentary division of Essex, England; 71 http://65.1911encyclopedia.org/C/CL/CLAIRAULT_or_CLAIRAUT_ALEXIS_CLAUDE.htm

document.write(""); CLAIRAULT (or CLAIRAUT), ALEXIS CLAUDE CLACTON-ON-SEA, a watering-place in the Harwich parliamentary division of Essex, England; 71 m. E.N.E. from London by a branch from Colchester of the Great Eastern railway; served also by steamers from London in the summer months. Pop. of urban district (1901) 7456. Clay cliffs of slight altitude rise from the sandy beach and face south-eastward. In the neighbourhood, however, marshes fringe the shore. The church of Great Clacton, at the village I~ m. inland, is Norman and later, and of considerable interest. Clacton is provided with a pier, promenade and marine parade; and is the seat of various convalescent and other homes. See La Vie de Leon Cladel (Paris, 1905), by his daughter Judith Cladel, containing also an article on Cladel by Edmond Picard, a complete list_of his works, and of the critical articles on his work. an ingenious approximate solution of the problem of the three bodies; in 1750 he gained the prize of the St Petersburg Academy for his essay Thêorie de la lune; and in 1759 he calculated the perihelion of Halley’s comet. He also detected singular solutions in. differential equations of the first order, and of the second and higher degrees. Clairault died at Paris, on the ‘7th of May 1765. CLAIRVAUX, a village of north-eastern France, in the depart~ ment of Aube, 40 m. E.S.E. of Troyes on the Eastern. railway to Belfort. Clairvaux (Clara Vallis) is situated in the valley of the Aube on the eastern border of the Forest of Clairvaux. Its celebrity is due to the abbey founded in 1115 by St Bernard, which became the centre of the Cistercian order. The buildings (see ABBEY) belong for the most part to the 18th century, but there is a large storehouse which dates from the 12th century. The abbey, suppressed at the Revolution, now serves as a prison, containing on an average 800 inmates, who are employed in agricultural and industrial occupations. Clairvaux has ironworks of some importance.

36. VEDA HLAVNÍ STRÁNKA, 22.6. MATEMATIKOVÉ V HISTORII alexis Claude clairaut JiríSvršek narozen 7. kvetna 1713 v Paríži, Francie zemrel 17. http://pes.eunet.cz/veda/clanky/13175_0_0_0.html

NEVIDITELNÝ PES EUROPE'S ZVÍØETNÍK BYDLENÍ ... ENCYKLOPEDIE Pátek 22.6.2001 Svátek má Pavla Biologie a pøíroda Vesmír Fyzika Medicína ... Archiv vydání Nadpis Autor Text èlánku Alena Marešová Neviditelný pes již pøed èasem uveøejnil dotazník paní doktorky Marešové z Institutu pro kriminologii a sociální prevenci v Praze, týkající se extremismu. Nyní vás znovu prosí o pomoc. Institut pro kriminologii a sociální prevenci se t.è. zabývá trestnou èinností policistù - jejími pøíèinami, nezbytnými podmínkami její existence a možnostmi její redukce. Dílèím úkolem je zjištìní, jak v souèasnosti policii a policisty vnímá veøejnost a odborná veøejnost. Ze zkušených pracovníkù justice a policie byl vytvoøen soubor expertù, jejichž názory budou zpracovány a interpretovány zvl᚝ .Vzhledem k vynikajícím zkušenostem ze sbìru názorù prostøednictvím dotazníkù pøedložených internetové èásti veøejnosti, také v tomto pøípadì jsem zpracovala krátký dotazník a prosím uživatele internetu o jeho vyplnìní. Pro zájemce uvádím program 43. semináøe Spoleènosti pro talent a nadání - ECHA:

37. VEDA 22.6. MATEMATIKOVÉ V HISTORII alexis Claude clairaut Jirí Svršeknarozen 7. kvetna 1713 v Paríži, Francie zemrel 17. http://pes.eunet.cz/veda/clanky/13175_48_0_0.html

NEVIDITELNÝ PES EUROPE'S ZVÍØETNÍK BYDLENÍ ... ENCYKLOPEDIE Pátek 22.6.2001 Svátek má Pavla Biologie a pøíroda Vesmír Fyzika Medicína ... Archiv vydání Nadpis Autor Text èlánku Alena Marešová Neviditelný pes již pøed èasem uveøejnil dotazník paní doktorky Marešové z Institutu pro kriminologii a sociální prevenci v Praze, týkající se extremismu. Nyní vás znovu prosí o pomoc. Institut pro kriminologii a sociální prevenci se t.è. zabývá trestnou èinností policistù - jejími pøíèinami, nezbytnými podmínkami její existence a možnostmi její redukce. Dílèím úkolem je zjištìní, jak v souèasnosti policii a policisty vnímá veøejnost a odborná veøejnost. Ze zkušených pracovníkù justice a policie byl vytvoøen soubor expertù, jejichž názory budou zpracovány a interpretovány zvl᚝ .Vzhledem k vynikajícím zkušenostem ze sbìru názorù prostøednictvím dotazníkù pøedložených internetové èásti veøejnosti, také v tomto pøípadì jsem zpracovala krátký dotazník a prosím uživatele internetu o jeho vyplnìní. Pro zájemce uvádím program 43. semináøe Spoleènosti pro talent a nadání - ECHA:

38. Alexis Claude Clairaut - Maupertuis'n Astemittausretki alexis Claude clairaut. alexis clairaut syntyi 1713 ja kuoli 1765. Häntoimi retkellä matemaatikkona. Hän oli matemaattinen ihmelapsi http://www.rovaniemi.fi/lapinkavijat/maupertuis/clairaut.html

HENKILÖGALLERIA: Maupertuis Alexis Clairaut Anders Celsius Anders Hellant Alexis Claude Clairaut Alexis Clairaut syntyi 1713 ja kuoli 1765. Hän toimi retkellä matemaatikkona. Hän oli matemaattinen ihmelapsi joka jo 12 vuotiaana oli esillä Pariisin tiedeakatemiassa. Clairaut otti muiden tavoin osaa käytännön työhön, mutta hän oli mukana ennenkaikkea laskemassa mittaustuloksia. 1743 julkaistussa tutkimuksessa, Clairautin väittämässä, esitetään yksinkertaisella tavalla maan geometrisen litistymissuhteen riippuvuus vetovoiman ja keskipakoisvoiman suhteesta. Myöhemmin Clairaut ennusti matemaattisesti vuoden 1759 Halleyn komeetan ilmestymisen. etusivu maapallon muoto astemittausretki väylän elämää ... lapinkävijät

39. Alexis Claude Clairaut - De Maupertuis Gradmätningsexpedition I Tornedalen 1736 alexis Claude clairaut. alexis clairaut föddes 1713 och dog 1765.Han fungerade under expeditionen som matematiker. Han var ett http://www.rovaniemi.fi/lapinkavijat/maupertuis/clairaut_sv.html

PERSONGALLERI Maupertuis Alexis Clairaut Anders Celsius Anders Hellant Alexis Claude Clairaut första sidan jordens figur gradmätningsexpedition livet i älvdalen ... Lapplandsfararna

40. Alexis-Claude Clairaut alexisClaude clairaut born 1713 died 1765 alexis clairaut was amember of the French Academie des Sciences. He is important in http://www.visitvoltaire.com/e_alexis-claude_clairaut.htm

Alexis-Claude Clairaut born: 1713 died: 1765 Alexis Clairaut was a member of the French Academie des Sciences. He is important in Emilie du Chatelet's life because he was her tutor and helped with her translation of Isaac Newton's Principia from Latin into French by proofreading her work and verifying her calculations. Emilie completed her manuscript just prior to her death in 1749. Voltaire paid to have her translation of the Principia published in 1759, and it remains the authoritative French translation of Newton's work. Alexis-Claude Clairaut was one of the most renown mathematicians and physicists of the 18th century. At age 10, Alexis knew infinitesimal calculus, at twelve he submitted his first paper to the Academie des Sciences, and at eighteen he published a book containing important additions to geometry that won him membership in the Academie in 1731. Clairaut was one of the scientists who accompanied Maupertuis to Lapland to collect data that was used to determine the shape of the earth. In 1743 he published his Theorie de la figure de la terre (Theory on the shape of the earth) that calculated, more precisely than Newton had done, the form that a rotating body mechanically assumes from the natural gravitation of its parts.

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