61. Marilyn Online Lexikon: Personen Translate this page Felix Graf Luckner, Felix Graf Luckner, Adolf Lüderitz, Adolf Lüderitz. ludolphvan ceulen, ludolph van ceulen, Otto Ludwig, Otto Ludwig. Ludwig II. Ludwig II. http://www.rubycon.de/marilyn/person.php?Buchstabe=L

62. Diverse Publicaties Pi in de Pieterskerk Op 5 juli 2000 werd in de Pieterskerk in Leiden door PrinsWillemAlexander een gedenksteen van ludolph van ceulen onthuld met daarop de http://www.nvvw.nl/publicaties_divers.html

publicaties diverse onderwerpen Op deze pagina worden koppelingen vermeld naar publicaties die niet zijn onder te brengen in de rubrieken vermeld op de pagina Publicaties en die via het WWW te raadplegen zijn. Aanvullingen zijn zeer welkom. Gaarne opgave daarvan aan de webbeheerders Periodieke peiling rekenen (PPON): Rekenpeil halverwege basisonderwijs gestegen Persbericht Cito van 4 oktober 2000 Kinderen halverwege de basisschool rekenen bij de meeste rekenonderwerpen beter dan enkele jaren geleden. Deze positieve ontwikkeling is voor een belangrijk deel toe te schrijven aan een toename in het gebruik van effectieve methoden in combinatie met een afname in het gebruik van minder effectieve methoden. Dit is één van de opvallendste uitkomsten van een peiling naar het niveau van het rekenonderwijs halverwege de basisschool. De Citogroep in Arnhem voerde de peiling eind 1997 uit. De resultaten zijn nu bekend gemaakt (het rapport staat in delen in PDF-formaat). Noot van de NVv W -redactie Op 1-11-1999 meldde het Cito in een persbericht: Rekenprestaties basisschoolleerlingen gaan geleidelijk achteruit op basis van een PPON-onderzoek in het voorjaar 1997.

63. WereldWiskundeJAAR 2000 van NVvW75 en WWJ2000. Pi in de Pieterskerk Op woensdag 5 juli 2000 werd in de Pieterskerkte Leiden een gedenksteen van ludolph van ceulen onthuld, met daarop http://www.nvvw.nl/wwj/wwj2000.htm

W ERELD W ISKUNDE J AAR Georganiseerd door de INTERNATIONAL MATHEMATICAL UNION (IMU) Gesponserd door UNESCO Activiteiten Nederland DND Elders Nieuwsbrieven ... Overige links Op 6 mei 1992 werd in Rio de Janeiro (Brazilië) het jaar door de IMU (International Mathematical Union) uitgeroepen tot Wereld Wiskunde Jaar (World Mathematical Year) Daarbij werden drie hoofdthema's geformuleerd: - de uitdagingen van de 21ste eeuw - wiskunde als sleutel tot ontwikkeling - het beeld van de wiskunde. Activiteiten in Nederland Onder het motto "Manifestatie Wiskunde 2000" zullen een aantal organisaties die in Nederland actief zijn op het gebied van het reken/wiskundeonderwijs, activiteiten organiseren voor een groot publiek. Via deze pagina wordt u op de hoogte gehouden van deze activiteiten. De Nationale Doorsnee "De Nationale Doorsnee" is de naam voor een Nederlandse bijdrage aan het World Mathematical Year: een grote eendaagse (scholieren)manifestatie in oktober 2000. Het is een initiatief van de Nederlandse Vereniging van Wiskundeleraren ( NVvW ), die dit jaar 75 jaar bestaat. Met steun van de Stichting Wetenschap en Techniek Nederland (

64. Ludolphine For a long time, in Germany, p was known as the ludolphine after ludolph van ceulen(28 Jan 1540 31 Dec 1610), who spent much of his life computing the http://thesaurus.maths.org/mmkb/entry.html?action=entryById&id=2546

65. Pi Dates 1650 BCE The earliest known reference to Pi was made on a Middle Kingdom papyrusscroll written by Ahmes the scribe. 1540 CE - ludolph van ceulen born. http://students.bath.ac.uk/ns1rp/pidate.html

A date with Pi?! Below are listed the dates of some of the many breakthroughs related to pi over the years 1650 BCE - The earliest known reference to Pi was made on a Middle Kingdom papyrus scroll written by Ahmes the scribe. 1540 CE - Ludolph van Ceulen born. Pi is sometimes called 'die Ludolph Zahl' after Ludolph van Ceulen, the German mathematician who devoted his life to calculating 35 decimals of pi. 1701 - 100 digits of pi were calculated. 1706 - William Jones first give the Greek Letter pi its current mathematical meaning. 1768 - Johann Lambert proved pi is irrational. 1897 - A bill was passed by the State House of Representatives of Indiana, setting pi to equal 9.2376!! 1931 - A man from Cleveland published a book declaring pi to equal exactly 256/81 1975 - Simon Plouffe entered the Guiness Book of Records for reciting 4096 digits of pi from memory. 1995 - Hiroyoki Gotu became the new pi memory champion by reciting 42 000 digits of pi Return to welcome page

66. Börsenspiel Hauptseite Translate this page ludolph van ceulen. ludolph van ceulen wurde durch die auf 35 Dezimalstellengenaue Berechnung der Kreiszahl p berühmt. Bis ins 19. http://wikipedia.t-st.de/data/Ludolph_van_Ceulen

Nicht eingeloggt. Einloggen Startseite Anmelden Marktpl¤tze Europawahl 2004 Orderbuch Depot US Pr¤sidentenwahl Orderbuch Depot B¶rsenspiel Hauptseite Die B¶rsensimulation hat ihren Betrieb aufgenommen. Sie k¶nnen hier mit virtuellem Geld auf virtuellen Marktpl¤tzen mit virtuellen Aktien handeln. Alles ist kostenlos. Also gleich anmelden und loslegen. Dieser Service befindet sich noch in der Entwicklung, haben Sie also bitte Verst¤ndnis daf¼r, wenn noch nicht alles rund l¤uft. Vorschl¤ge f¼r weitere Marktpl¤tze sind immer gern gesehen. Impressum: Thomas Steinfeld, Dorfplatz 25, 17237 Blankensee, Email: info@silkesoft.de

67. The Quiz Page Weekly Quiz 100 - Gopal's Homepage decimal place. (and I think the name is ludolph van ceulen) 7. Neil HisAnswer a circle. something to do with the calculation of pi. 8 http://members.tripod.com/gopalhome/quizweek100.html

var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" The Quiz Page The Weekly Quiz Archive: Answers of Gopal's Weekly Quiz - 100: The Question: Ludolph Von Ceulen's last wish was to have something engraved on his tombstone and the wish was fulfilled. What did he want engraved and why? The Answer: He discovered the value of Pi and the value of Pi upto the first 35 decimal places were inscribed on his tombstone. Results of Gopal's Weekly Quiz - 100: No. of respondents: 9 No. of correct answers: 8 The Respondents: 1. Rashmi Her Answer: His wish was to have the value of "pi" to the 35th decimal place to be engraved on his tombstone. B'cos he had calculated the value of "pi" (circumference/diameter ratio of a circle, originally called Ludolphine) to the 35th decimal place. 2. Puneet Batta His Answer: pi to 35 decimal places. 3. Balaji Venkateswaran His Answer: His number "P" (later called Ludolph's number) was engraved in his tombstone.It was engraved because he determined it. 4. Nandakumar

68. Probleme - π Translate this page Dieser Rekord wurde 1610 vom Deutschen ludolph van ceulen weiter verbessert,er verwendete nämlich das regelmäßige -Eck für seine Approximation. http://members.tripod.com/sfabel/mathematik/probleme_pi.html

var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Startseite Zur Startseite Überblick 600 v. Chr. ... SCHLUSS Die drei klassischen Probleme der Antike [ Die Zahl Pi ] bzw. Aus und ergaben sich dann die angegebenen Schranken. Durch Archimedes wurde Pi also mit 3,14 auf zwei Dezimalen genau angegeben. Um 480 gelangte der Chinese Tsu Chung-Chih zum Wert als "ungenauen" Wert die Zahl Seiten Pi auf neun Dezimalen genau: -Eck. Kurz darauf, 1630, berechnete Grienberger Pi auf 39 Dezimalen genau. Er verwendete die von Snell verbesserte klassische Methode. im heutigen Sinn in allgemeinen Gebrauch. Dazu drei Beispiele: Wie o dies oder: Now I, even I, would celebrate In rhymes unapt, the great Immortal Syracusan, rivaled nevermore, Who in bis wondrous lore, Passed on before Left men bis guidance How to circles mensurate. oder: How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics. habe. Jahre); Nach oben

69. ZUR ZAHL Pi - Vom Mittelalter Bis Zur Moderne Translate this page ludolph van ceulen widmete einen grossen Teil seiner Arbeit und seines Lebens derBerechnung der Zahl p. 1596 errechnete er 20 richtige Stellen und kurz vor http://www.pimath.de/quadratur/pi_geschichte2.html

Zur Geschichte der Zahl Pi ( p Vom Mittelalter bis zur Moderne Adriaen Metius, Valentius Otho Ludolph von Ceulen Jacob Marcelis Reihenentwicklungen ... weiter Im Mittelalter wurden, in Europa, die Verfahren zur Berechnung von p erheblich verfeinert. Tycho de Brahe p den Wert: und Rechtsgelehrte Francois Viete p bis auf 9 Dezimalstellen angab. Viete , (lateinisch Vieta) der "Vater" der modernen Algebra, stellte erstmals eine geschlossene Formel für p F. Rudio im Jahre 1891 beweisen. Adrian Metius , Valentius Otho Mehr als 1000 Jahre nach Tsu Ch'ung-Chi entdeckte Adriaen Metius Beachtenswert ist hier, das durch den relativ einfachen Bruch 333/106 insgesamt 4 Dezimalstellen von p anfallen: Valentinus Otho bekannt wurde. Ludolph von Ceulen Ludolf von Ceulen (1539-1610). Er errechnete p auf 35 Stellen genau. p Ludolph van Ceulen widmete einen grossen Teil seiner Arbeit und seines Lebens der Berechnung der Zahl p . 1596 errechnete er 20 richtige Stellen und kurz vor seinem Tod weitere 15. Dabei diente ihm die Archimedische Methode als Grundlage. Er benutzte ein- und umschriebene Polygone mit 2 Seiten. Die letzten drei der von ihm berechneten Ziffern wurden in seinen Grabstein eingemeisselt.

70. Pi: Facts And Figures 58) ludolph van ceulen (1540 - 1610) spent most of his life workingout Pi to 35 decimal places. Pi is sometimes known as ludolph s Constant. http://thestarman.pcministry.com/math/pi/pifacts.html

(Pi): Facts and Figures Edited by The Starman The Basics 100 Decimal Places of Pi. The Circle Definition of Pi, Diameter and Circumference. Area of a Circle. The Sphere Area and Volume. Pi ( ) to decimal places is: A Circle of (Pi) diameter 1 unit , then its (see links below for proof *) . If a circle has a diameter of 2 units , then its For various proofs that , try these pages: I'm still researching this! is the 16th letter of the Greek alphabet (it also denoted the number 80 in ancient Greece). Note that the pronunciation of this letter in Greek is like the English word 'Pea' (the same way they say the name of the letter 'P') or perhaps like the p and i in the word 'Pit.' But it's NEVER pronounced like the English word 'Pie' in Greece! To create that type of sound, Greek could use the diphthong 'ai' (it means two vowels together; like the 'oi' in the English word 'oil'); so, 'pai' in Greek would sound like 'pie' in English. So, how did this Greek letter become the Mathematical symbol it's known for today? In the mid to late 1600's, some mathematicians were using

71. Pi - Www.Lexikon-Online.info (ludolph van ceulen, su) genannt, drückt das Verhältnis des Umfangs eines http://www.lexikon-online.info/q/Pi

Pi aus dem freien Lexikon-Online.info Pi ist der 16. Buchstabe des griechischen Alphabets Griechische Zahlen Die moderne Zahl Pi Archimedes ' Konstante oder Ludolphsche Zahl (Ludolph van Ceulen, s.u.) genannt, drückt das Verhältnis des Umfangs eines Kreises zu seinem Durchmesser Fläche eines Kreises mit dem Radius 1 oder als das Doppelte der kleinsten positiven Zahl x , für die cos( x ) = gilt. Inhaltsverzeichnis showTocToggle("Anzeigen","Verbergen") 3 Näherungen 4 Merkregel 5 Offene Fragen 6 Anwendungen ... Volumen einer Kugel Oberfläche Formeln der Analysis Euler (n/e) n Stirlingsche Formel e Eulersche Identität Formeln der Physik x p h Heisenbergsche Unschärferelation rationale Zahl . Das heißt, sie kann nicht als Verhältnis zweier ganzer Zahlen geschrieben werden, etwa als a b (üblicherweise Bruch genannt). Dies wurde von Johann Heinrich Lambert bewiesen. Tatsächlich ist die Zahl transzendent . Dies bedeutet, dass es kein Polynom mit ganzzahligen bewiesen. Eine Folge ist auch, dass die Quadratur des Kreises nur mit Zirkel und Lineal nicht möglich ist.

72. Wauu.DE: World: Nederlands: Wetenschap: Exacte Wetenschappen: Wiskunde home.svm.nl/natwet/wiskunde/. Pi in de Pieterskerk Woensdag 5 juli 2000 is een gereconstrueerdegrafsteen van ludolph van ceulen geplaatst in de Pieterskerk. http://www.wauu.de/World/Nederlands/Wetenschap/Exacte_Wetenschappen/Wiskunde/

Home World Nederlands Wetenschap ... Exacte Wetenschappen : Wiskunde Search DMOZ-Verzeichnis: All Categories Categories Onlye Kategorien: Faculteiten Software Links: Verricht onderzoek en verzorgt onderwijs en trainingen. Doelstellingen, organisatie, projecten, publicaties en nieuws. http://www.bosnel.nl Dick Klingens en wiskunde Informatie over diverse onderwerpen uit de wiskunde van de middelbare school, deels met Cabri Java applets voor bewegende beelden. De site is gemaakt door een wiskundeleraar. http://www.pandd.demon.nl/wiskunde.htm Homepage Matthijs Brouwer - Wiskunde Verzameling wiskunde links en informatie m.b.t. scriptie 'Piecewise Polynomial Approximations using Hierarchical grids' http://wiskunde.matthijsbrouwer.com Homepage van het Wiskundig Genootschap Het Wiskundig Genootschap is een landelijke vereniging van beoefenaren van de wiskunde. http://www.wiskgenoot.nl/ ICT in de wiskunde Eindwerk dat is bedoeld als leidraad zijn in de zoektocht naar wiskundige toepassingen op internet voor leerkrachten en leerlingen. http://www.wisnet.be

73. The Story Of Pi Calculation. The sixteenth century mathematician ludolph van ceulen was obsessed with computingthe digits of p, and did find the best approximation for p yet. http://www.codehappy.net/pi.htm

Home Humor and Games Code Music ... Search The Math Department Suppose the polygons have 2 n sides. If the central angle of the polygon is 2 then the length of each side of the inner polygon can be shown to be the sine of the angle , and the length of each side of the outer polygon is the tangent of the angle . Using the half-angle identities for the sine and tangent, it is not hard to derive iterative formulas for the polygon perimeters. It turns out that, given the inner perimeter I n and the outer perimeter O n I n+1 is the geometric mean of I n and O n , and O n+1 is the harmonic mean of I n and O n This was stunning mathematics; Archimedes did not have a very usable number system to work with and did not have the tools of modern trigonometry. He also used a limiting process that would find echoes centuries later in the work of Leibniz and Newton on the integral calculus. It took decades for him to do, but he managed to compute 35 correct digits. His method was also the same method of exhaustion used by Archimedes, though instead of using polygons with only a few hundred sides, van Ceulen had used a 2 -gon for his approximation. It would take the development of the calculus before more efficient methods would be discovered.

74. What Is Algorithmic Number Theory? ludolph van ceulen is known to mathematical history buffs as the 17thcenturyfencing instructor who long held the record for computing pi 35 digits, the http://www.math.harvard.edu/~elkies/compnt:.html

[from a travel journal e-mailed to a number of friends and family members in mid-August 2000; ANTS = Algorithmic Number Theory Symposium. NDE] A Mathematician's Apology , 1940) that it has no ``practical'' use at all? Well, a lot has happened since 1940. I got this far in my travel report without saying anything to describe what algorithmic number theory is, but some explanation is needed now, not only to explain the NSA's presence but also to put my own talk and the pi celebration in context. Readers already conversant with number theory and its cryptological applications may want to skim through the next three paragraphs. To describe algorithmic number theory, I must first say something about number theory, and I could start with the dry definition: it's the study of whole numbers and related mathematical structures primes, solving equations in rational numbers, that sort of thing. But number theory is unique among modern mathematical disciplines in having a wealth of problems, some extremely hard, that can be stated in terms comprehensible to the non-specialist. So rather than give technical definitions I'll try to suggest the spirit of the subject by giving examples. The canonical example is the problem suggested by Fermat and known misleadingly as ``Fermat's Last Theorem'', in fact proved only a few years ago see this URL for one telling of the story.

75. Gevonden Artikelen Op Pressurge.org Bezeten door de telduivel Door Frank van der Knoop Vierhonderd jaar geleden berekendede Leidse wiskundige ludolph van ceulen het getal Pi tot 35 decimalen. http://pressurge.org/pressurge/journalisten_zoeken.php3?action=get_samenvatting&

76. Ludolph Van Ceulen - Information An online Encyclopedia with information and facts ludolph van ceulen Information,and a wide range of other subjects. ludolph van ceulen - Information. http://www.book-spot.co.uk/index.php/Ludolph_van_Ceulen

Ludolph van Ceulen - Information Home Mathematical and natural sciences Applied arts and sciences Social sciences and philosophy ... Interdisciplinary categories Ludolph van Ceulen (28 January 1540 in Hildesheim, Germany - 31 December 1610 in Leiden, The Netherlands) was a German mathematician who emigrated to the Netherlands. He was appointed the first professor of mathematics at the university of Leiden in 1600. Ludolph van Ceulen spent a major part of his life calculating the numerical value of the mathematical constant , using essentially the same methods as those employed by Archimedes some 1800 years earlier. He published a 20-decimal value in his 1596 book Van de Cirkel ('On the Circle'), later expanding this to 35 decimals. After his death, the 'Ludolphine number' was engraved on his tombstone in Leiden. The tombstone was later lost, but has been restored in the year 2000. External references Het grafschrift van Ludolph van Ceulen (in Dutch). This article is a http://www.wikipedia.org/wiki/Perfect_stub_article " class='external' title="">stub . You can help Wikipedia by http://www.wikipedia.org/wiki/Find_or_fix_a_stub

77. Einige Entdeckungen über Die Geschichte Der Zahl Pi Sowie Leben von Christoffer Dybvad ludolph van ceulen aus der Kategorie Mathematik mit http://buch.preissuchmaschine.de/Fachbuecher/Mathematik/Grundlagen/Einige_Entdec

78. APM - Educação E Matemática Translate this page casas decimais. 1596 ludolph van ceulen calcula pi com 32 casas.1610 van ceulen amplia o cálculo para 35 casas decimais. 1663 http://www.apm.pt/apm/curiosidades/curio3.htm

Voltar c. 1100 a. C. Os chineses empregam pi=3. c. 550 a. C. O Antigo Testamento afirma que pi=3. séc. II d. C. Cláudio Ptolomeu utiliza pi=3° 8' 30"=377/120=3,14166... 263 d. C. Liu Hui emprega pi=157/50=3,14. c. 450 Tsu Ch'ung-chih acha 355/113. c. 530 Aryabhata usa pi=62832/20000=3,1416. 1220 Leonardo de Pisa (Fibonacci) descobre pi=3,141818... 1593 Adriaen Romanus calcula pi com 15 casas decimais. 1596 Ludolph Van Ceulen calcula pi com 32 casas. 1665-66 Isaac Newton calcula pi com 16 casas decimais pelo menos; resultado apenas publicado postumamente em 1737. 1699 Abraham Sharp calcula pi com 72 casas decimais. 1713 A corte chinesa publica o Su-li Ching-yun, que tem pi representado com 1719 Thomas Fantet de Lagny calcula pi com 127 casas.

79. Liens Sympa,... van ceulen, ludolph (15401610) - site dedicated to this long-ignored mathematician,who spent his entire life approximating pi to 35 places. http://www.cur-archamps.fr/edres74/webest/cool/page10.htm

Liens Ridiculously Enhanced Pi Page from the San Francisco Exploratorium. A propos de PI An essay about the number Pi Archimedes' constant - These pages summarize geometric and analytic properties of pi, with many formulas and some unsolved problems too. Common Book of Pi, The Dara's Pi Page David's pi page - La vraie valeur de pi. En Francais. Dr. Math Answers Questions About Pi Elias' Pi Page - Binary Pi, listen to Pi, Pi visualized. Eve's Pi Loren's 3.14159265358979323.. Marko's Vote on the Future Value of Pi - because I didn't like the result of the first poll. Music of PI - This page is for exchanging music via MIDI using atrange digit. Threr are many nice cool lNKS and intresting SOUND FILES of Japanses music. Why don't you join us ? Notes on Pi Omnipotent number: Pi, The Paul's Page of Pi - links to other pi sites, as well as poems and info about everyone's favorite transcendental constant. PI [caltech.edu] Pi [Grishaver, Dan] Pi [ucla.edu] - just in case all the other sites are down and you REALLY need to know pi. Pi in the sky Pi is Irrational - the one page proof.

80. Milestones Of Science 1614, Napier, John, Mirifici logarithmorum canonis descriptio, Mathematics.1615, van ceulen, ludolph, Fundamenta arithmetica et geometrica, Mathematics. http://milestones.buffalolib.org/books/listd.htm

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