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         Brouncker William:     more detail
  1. Pi: Formule Bbp, Formule de Leibniz, Formule de Machin, Fabrice Bellard, Journée de Pi, Projet de Loi Pi de L'indiana, William Brouncker (French Edition)
  2. Viscount William Brouncker: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001
  3. William Brouncker, 2nd Viscount Brouncker
  4. Vicomte de La Pairie D'irlande: Henry John Temple, James Caulfeild, John Vereker, John Ligonier, William Lamb, William Howe, William Brouncker (French Edition)

81. Local Newpaper Extracts
Died, on Wednesday the 29th of January, Lewis william brouncker, Esq., of BarfordHouse, Wilts, and of Pelhams, Dorsetshire. On Saturday the 1st inst. died,
http://freepages.genealogy.rootsweb.com/~dutillieul/ZOtherPapers/S&WJFeb101812.h
The Salisbury And Winchester Journal
and General Advertiser of Wilts, Hants, Dorset, and Somerset. EMail Me Surname Home Page Local Newspaper Index
Some Selected Reports from the Salisbury and Winchester Journal
Monday, February 10th, 1812
Anatomical Theatre, Bristol.
Mr.Thomas Shute will commence his Spring Course of Lectures on Anatomy, Physiology, and the Principles of and Operation in Surgery, on Thursday the 13th of February, at eight o'clock in the morning.
Park-street, Jan 31.
Newbury, near the Market-Place,
February 3, 1812.
Wm.Baker , Seedsman and Corn-Factor, informs his Friends and the Public, that he has commenced Business on his Own Account :- Gentleman, Farmers, and Gardeners may be supplied with every kind of Garden and Agricultural Seed of the best quality, and the most reasonable terms.
Winchester,
Saturday, February 8.
On Friday se'nnight in her 80th year, Mrs.Austey , of Sion Hill, Bath, relict of Christopher Austey, Esq. , and mother of Major Austey A few days since died, Mr.Doran

82. Infinite Expressions For Pi
william brouncker (ca. 1660 s) rewrote Wallis formula as a continued fraction,which Wallis and later Euler (1775) proved to be equivalent.
http://www.geom.uiuc.edu/~huberty/math5337/groupe/expresspi.html
Infinite Expressions for Pi
This page lists a number of infinite expressions of . Proofs are not provided here, but the viewer is encouraged to study the sources listed in the reference page
  • John Wallis (1655) took what can now be expressed as and without using the binomial theorem or integration (not invented yet) painstakingly came up with a formula for to be
  • William Brouncker (ca. 1660's) rewrote Wallis' formula as a continued fraction, which Wallis and later Euler (1775) proved to be equivalent. It is unknown how Brouncker himself came up with the continued fraction,
  • and the fact that arctan(1) = /4 to obtain the series Unfortunately, this series converges to slowly to be useful, as it takes over 300 terms to obtain a 2 decimal place precision. To obtain 100 decimal places of , one would need to use at least 10^50 terms of this expansion!
  • History books credit Sir Isaac Newton (ca. 1730's) with using the series expansion of the arcsine function, and the fact that arctan(1/2) = /6 to obtain the series This arcsine series converges much faster than using the arctangent. (Actually, Newton used a slightly different expansion in his original text.) This expansion only needed 22 terms to obtain 16 decimal places for

83. April 5 Deaths In History
April 5, 1684 william brouncker, 2nd viscount/1st President of Royal Society,dies April 5, 1673 Francois Caron, admiral/governor (Formosa), drowns at about
http://www.brainyhistory.com/daysdeath/death_april_5.html
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Peter Nailor, civil servant/historian, dies at 67
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Andre Victor Tchelistcheff, winemaker, dies at 92
April 5, 1994
Aubrey J Watson Sr, bishop, dies at 65
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84. Brouncker
Translate this page william brouncker. (1620 - 1687). Utilisant la formule de Wallis, william brounckerobtient la superbe et magnifique formule suivante, présentant p /4 comme
http://www.math.univ-mulhouse.fr/Pi/Brouncker.html
William Brouncker Utilisant la formule de Wallis p /4 comme une fraction continue, ce qui permettra de donner de "meilleures" approximations rationnelles de p

85. Adelman Letters And Documents Collection - P | Special Collections | Bryn Mawr C
Signed by william Penn (father of william Penn, founder of Pennsylvania), SirJohn Mennes, and william brouncker. 1667 Apr 30. 20. Perkins, Henry
http://www.brynmawr.edu/library/speccoll/guides/adelmanp.shtml
Bryn Mawr College Library Special Collections
Guide to the Seymour Adelman Letters and Documents Collection - P
Part II: Box and Folder List
Special Collections Department, Bryn Mawr College Library
A
B C D ... Z
Box Person Named and Contents Date Paterson, A. D.
Letter: to William Wilson, Poughkeepsie, N.Y.
1 item (1 p. on double sheet)
ALS. "The continued easterly winds have at length brought a storm of rain, and my womenkind having taken fright at the present appearance of the weather have thought it better to defer the pleasure of a visit until next week. Should next Saturday prove fine we shall endeavour to avail ourselves of your kindness . . ." 1835 Apr 13 Palgrave, Francis Turner, 1824-1897 (Critic and Poet)
Memorial inscription: to the memory of Joseph Severn, 1793-1879, London
1 item (1 p.) ; 12 x 18 cm
AMsS. Inscription begins "To the memory of Joseph Severn, the Friend of John Keats." n.d.

86. Entrez PubMed
By contrast, william brouncker s name does appear on Peter Lely s large portrait,which hung at the Royal Society. brouncker was a gifted mathematician as
http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=1

87. Famous People From Ireland
CASTLELYONS, COUNTY CORK william brouncker 16201684 Mathematician. CASTLENOCK,COUNTY DUBLIN Colin Farrell 1976- Actor. CASTLETOWNROCHE, COUNTY CORK Jonjo
http://www.localhistories.org/irefam.html
FAMOUS PEOPLE BORN IN IRELAND By Tim Lambert NORTHERN IRELAND BALLYMENA, COUNTY ANTRIM Liam Neeson 1952- Actor To see a list of people from BELFAST click here. COLERAINE James Nesbitt 1965- Actor DERRY William Alexander 1824-1911 Poet Joyce Cary 1888-1957 Writer Nadine Coyle 1985- Singer George Farquhar 1678-1707 Playwright Josef Locke 1917-1999 Singer Feargal Sharkey 1958- Singer ENNISKILLEN Adrian Dunbar 1958- Actor MAGHERAGALL, COUNTY ANTRIM Sir Jospeph Larmor 1857-1942 Physicist MOSSBAWN, COUNTY DERRY Seamus Heaney 1939- writer NEWTOWNARDS Eddie Irvine 1965- Driver OMAGH, COUNTY TRYONE Brian Friel 1929- Writer PARK, COUNTY DERRY Antonia Logue 1972- Writer POMROY, COUNTY TYRONE Philomena Begley 1954- Singer PORTADOWN, COUNTY ARMAGH Paul Muldoon 1951- Writer PRILLISK, COUNTY TYRONE William Carleton 1794-1869 Writer STRABANE, COUNTY TYRONE Flann O'Brien 1911-1966 Writer UREY, COUNTY TYRONE William Burke 1792-1829 Grave robber and murderer IRELAND ANNASCAUL, COUNTY KERRY Jerome Connor 1874-1943 Sculptor ATHLONE Thomas O'Connor 1848-1929 Journalist ATHY, COUNTY KILDARE

88. The Waller Manuscript Collection: Full Record
Person, brouncker, william, 2nd viscount brouncker, 16201684, Mathematician,Physician, signed by. IMAGES. View images, /Waller_Ms_gb/00314/f_001a.jpg
http://publications.uu.se/waller/object.xsql?DBID=19303

89. Title
brouncker, william brounckerBorn 1620 in Castle Lyons, Ireland Died 5 April 1684 in Oxford, England
http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=B

90. Histoire De La Rose Croix 10 - Ordre Rosicrucien AMORC : Ancien Et Mystique Ordr
entouré de william brouncker, premier président de la société, et de Francis
http://www.rose-croix.org/histoire/histoire10.html
VIII - LES PHILOSOPHES ET LA ROSE-CROIX
e partie) par Christian Rebisse
e Corpus Hermeticum re re , ou ses Quatre Hymnes La Tragique Histoire du docteur Faust Le Juif de Malte L'Alchimiste Juif de Malte de Christopher Marlow par Le Marchand de Venise De Harmonia Mundi Comme il vous plaira ou (1611), qui portent l'influence du De Occulta Philosophia d'Henri Corneille Agrippa er Francis Bacon comprend un récit intitulé " Le voyage au pays des Rosicruciens ", qui est une adaptation de la Nouvelle Atlantide Fama Fraternitatis , n'hésitant pas à faire de la " Maison de Salomon ", évoquée par Francis Bacon, le " Temple de la Rose-Croix ". Deux siècles plus tard, dans son livre Nouveau Grade de Rose-Croix (1860), Jean-Marie Ragon fait des idées de Francis Bacon la source de la " société de Rose-Croix ou Bramines du Nord " Bacon, Shakespeare and the Rosicrucians

91. Lexikon Kategorie:Ire
william Balfe John Banville Louis le Brocquy Pierce Brosnan william brouncker Georg Browne
http://lexikon.freenet.de/Kategorie:Ire

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92. ¤Ú ¬¥ Isaac Barrow  ¦~ ¥N
(william brouncker) Exact Sci. 26 (2) (1982), 115126. JF Scott andH Hartley, william Viscount brouncker, Notes and Records.
http://www1.emath.pu.edu.tw/mkuo/數學家的小故事/IV/1
¤Ú ¬¥ (Isaac Barrow ) ¥X¥Í¦~¥N¡G °êÄy¡G µÛ§@¡G Lect iones Geometricac(1669¦~) ¬O¥L¹ï·L¿n¤Àªº°¶¤j°^Äm¤§¤@ ¥Í¥­¡G ¸ê®Æ¥X³B¡G ¤j­^¦Ê¬ì¥þ®Ñ ®õ °Ç(Taylor Brook) ¥X¥Í¦~¥N¡G °êÄy¡G µÛ§@¡G ®õ°Ç©w²z ª½½u³zµø·s­ì²z '­õ¾Çªº¨I«ä'(Contemplatio philosophia) µL½a¯Å¼Æªº©w²z ¥Í¥­¡G ¸ê®Æ¥X³B¡G ¤j­^¦Ê¬ì¥þ®Ñ¡]²Ä17¥U¡^P628©M¥@¬ÉµÛ¦W¬ì¾Ç®a¶Ç°OP228 ¤û ¹y(Newton Sir Isaac) ¥X¥Í¦~ ¥N¡G °êÄy¡G µÛ§@¡G <<"¥ú¾Ç">><<½×¹B°Ê>>´£¥X¤F²Ä¤@©M²Ä¤G¹B°Ê©w«ß<­ì²z> ¥Í¥­¡G ¸ê®Æ¥X³B¡G ¼Æ¾Ç¥v-¼Æ¾Ç«ä·Qªºµo®i¡]¤W¥U¡^P385 ®æ¦C°ª¨½¡D¸â©i¤h(Gregory ¡AJames) ¥X¥Í¦~¥N¡G °êÄy¡G µÛ§@¡G 1667¦~¥Xª©¡§Vera Circuli et Hyperbolae Quadratura¡¨ 1668¦~¥Xª©¡§Exercitationes Geometriae" ¥Í¥­¡G ¸ê®Æ¥X³B¡G ¼Æ¾Ç¥v-¼Æ¾Ç«ä·Qªºµo®i¡]¤W¥U¡^P420
´ì ¨½ ´µ(John Wallis) ¥X¥Í¦~¥N¡G °êÄy¡G µÛ§@¡G ¥Í¥­¡G ¸ê®Æ¥X³B¡G ¼Æ¾Ç¥v-¼Æ¾Ç«ä·Qªºµo®i¡]¤W¥U¡^P381
¹p®¦(Wren Sir Christopher) ¥X¥Í¦~¥N¡G °êÄy¡G ¥Í¥­¡G ¸ê®Æ¥X³B¡G ¼Æ¾Ç¥v-¼Æ¾Ç«ä·Qªºµo®i¡]¤W¥U¡^P382
¬_§J(Edward Cocker
¥X¥Í¦~¥N¡G °êÄy¡G µÛ§@¡G ¬_§Jºâ³N¡Bºâ³N Articles¡G Edward Cocker, Dictionary of National Biography (London, 1894).

93. Editions Jacques Gabay - TANNERY P. : MEMOIRES SCIENTIFIQUES, Tome VI, Sciences
Translate this page brouncker (william), lord vicomte de Castle-Lyons. - Cantor (Moritz). - Cantor (Georg).- Cardano (Girolamo). - Cassini (Jean-Dominique).
http://www.gabay.com/sources/Liste_Fiche.asp?CV=177.06

94. Brouncker
l établissement de sa conjecture, brouncker n aurait pas procédé par induction
http://serge.mehl.free.fr/chrono/Brouncker.html
Lord William BROUNCKER, irlandais, 1620-1684 Royal Society fraction continues . Certains de ses travaux portant sur la rectification Wallis - ny = 1 dites de Pell ou de Pell-Fermat Pell : Fermat :
Conjecture de Brouncker : Partant de la formule de Wallis , produit infini calculant p on doit à Brouncker (1658) une fraction continue Lambert p On remarquera un lien subtil entre la formule de Brouncker et celle de Leibniz (également dite de Gregory
  • si vous calculez les sommes partielles successives de la série ci-dessus, vous trouverez aisément : 1 , 2/3 , 13/15 , 76/105, ... calculez maintenant les réduites successives de la 1ère formule de Brouncker... idem :
C'est à se demander si, dans l'établissement de sa conjecture, Brouncker n'aurait pas procédé par induction en construisant sa fraction à partir de la série de Leibniz ! Calcul de p selon Brouncker : Nicolaus Mercator Rahn

95. Famous Mathematicians With AB
Selig Brodetsky Louis duc de Broglie Thomas Bromwich Jacob Bronowski WilliamBrouncker Ernest Brown Marjorie Browne Filippo Brunelleschi Giuseppe Bruno
http://www.famousmathematician.com/az/mathematician_B.htm
Mathematicians - B
Charles Babbage
Claude Bachet
Paul Bachmann
John Backus
Roger Bacon
Reinhold Baer
Abu al-Baghdadi
Rene-Louis Baire
Alan Baker
Henry Baker
Johann Balmer Stefan Banach Benjamin Banneker Ahmad Banu Musa Jafar Banu Musa Abraham bar Hiyya Joseph Emile Barbier Nina Bari Peter Barlow Ernest Barnes Franciscus Barocius Isaac Barrow Francesco Barozzi Erasmus Bartholin George Batchelor Harry Bateman Guiseppe Battaglini Baudhayana Abu al-Battani Agnes Baxter Thomas Bayes Jean Beaugrand Ulugh Beg Eric Temple Bell John Bell Giusto Bellavitis Eugenio Beltrami Abraham ben Ezra Levi ben Gerson Jacob ben Tibbon Ivar Otto Bendixson Giovanni Benedetti Stefan Bergman George Berkeley Paul Isaac Bernays Daniel Bernoulli Jacob Bernoulli Johann Bernoulli Nicolaus Bernoulli Felix Bernstein Sergi Bernstein Lipa Bers Eugenio Bertini Alexis des Bertins Joseph Bertrand Lugwig Berwald William Berwick

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