A History of Pi

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A History of Pi Page 19

by Petr Beckmann

Cyril, Bishop

  Dase, Johann

  De Lagny

  De Moivre, Abraham

  Denumerable set

  Descartes, Rene

  Diocletian

  Diego de Landa

  Dinostratus

  Diophantus

  Dominicus Parisiensis

  Dürer, Albrecht

  Egyptian value of π

  Einstein, Albert

  Epicurus

  Erastosthenes

  Esarhaddon

  Euclid

  Eudoxos

  Euler, Leonhard

  Exhaustion principle

  Faraday, Michael

  Fermat, Pierre

  Fibonacci

  Fibonacci numbers

  Fiore, Antonio

  FORTRAN

  Four-color problem

  Franco von Lüttich

  Frederick II of Prussia

  Galilei, Galileo

  Gauss, Carl Friedrich

  Gelder, Jakob de

  Gerard of Cremona

  Gerbert d’Aurillac

  Goldbach, Christian

  Goldbach conjecture

  Goodwin, E.J.

  Gregory, James

  Gregory XIII

  Gutenberg, Johannes

  Halley, Edmond

  Heaviside, Sir Oliver

  Heisel, C.T.

  Henry IV of France

  Hermite, Charles

  Heron of Alexandria

  Hindu values of π

  Hippias of Elis

  Hippocrates of Chios

  Hobbes, Thomas

  Hobson, E.W.

  Hon Han Shu

  Huygens, Christiaan

  Hypatia

  Indian values of π

  Indiana bill for π

  Irrational numbers

  Japanese series for π

  Jimenez, Cardinal

  Jones, William

  Kazuyuki

  Kepler, Johann

  Lagrange, Joseph Louis

  Lambert, Johann Heinrich

  Landa, Diego de

  Laplace, Pierre Simon

  Latin phrase for π

  Legendre, Adrien-Marie

  Leibniz, Gottfried Wilhelm

  Leonardo of Pisa (Fibonacci)

  Leonardo da Vinci

  Lever principle

  Lindemann, F.

  Liouville, Joseph

  Liu Hui

  Lobachevski, N.I.

  Lodge, Sir Oliver

  Ludolph van Ceulen

  Lune, quadrature of

  Machin, John

  Magellan, Ferdinand

  Marcellus, Claudius

  Maria Theresa

  Matsanuga

  Maya

  Menaechmus

  Mesopotamia

  Mishnat ha-Middot

  Molten sea

  Monte Carlo method

  Napier, John

  Needham, J.

  Nehemiah

  Newton, Sir Isaac

  Ozam’s quadratrix

  π to 200 decimal places

  Pappus

  Parker, J.A.

  Pascal, Blaise

  Pascal triangle

  Poisson, Siméon Denis

  Periodicity

  Plato

  Pliny (Gaius Plinius Secundus)

  Plutarch

  Poems coding π

  Poseidonios (Posidonius)

  Primes

  Probability theory

  Proportionality

  Ptolemy I

  Ptolemy II

  Ptolemy III

  Ptolemy of Alexandria

  Punic wars

  Pythagoras

  Quadratrix

  Raud the Strong

  Recorde, Robert

  Reductio ad absurdum

  Regula falsi

  Rhind papyrus

  Richter

  Riemann, G.F.B.

  Robert of Chester

  Rooman, Adriaen

  Roman Empire

  Rudio, F.

  Rudolf II of Hapsburg

  Rutherford

  Safford, Truman Henry

  Scaliger, Joseph

  Scaliger, Julius

  Scipione del Ferro

  Schubert, Hermann

  Schwartz, Laurent

  Shanks, W.

  Sharp, Abraham

  Siddhantas

  Simon, M.

  Snellius, Willebrord

  Sosigenes

  Squaring the circle

  Stifel, Michael

  Strassnitzky, Schulz von

  Sun-Tsu

  Supplementary chord

  Sylvester II

  Syracuse, siege of

  Takebe

  Tartaglia, Nicolas

  Tertullian

  Theophilius, Bishop

  Thomaso d’Aquina

  Torquemada

  Torricelli, Evangelista

  Transcendence of π

  Trisectrix

  Tropfke, J.

  Tschirnhausen’s quadratrix

  Tsin Shi Hwang-Chi

  Tsu Chung-Chih

  Tsu Keng-Chi

  Valens

  Valmes

  Vasco da Gama

  Vega

  Viète, François

  Vitruvius

  Waldo, C.A.

  Wallis, John

  Weierstrass, Karl Wilhelm

  Yucatan, Bishop of

  Zeno’s paradoxes

  THE FIRST 10,000 DECIMAL PLACES OF π

  Reprinted with permission of the publisher

  The American Mathematical Society, from

  MATHEMATICS OF COMPUTATION

  Copyright © 1962, vol. XVI, no. 77, pp. 76-99

  Facsimile of the first two pages of the computer print-out obtained by Shanks and Wrench, who programmed an IBM 704 to compute π to 100,265 decimal places in July 1961 (see here).

  Copyright© 1971 by THE GOLEM PRESS

  All rights reserved. For information, write:

  St. Martin’s Press, Inc., 175 Fifth Ave., New York, N.Y. 10010.

  eBooks may be purchased for business or promotional use. For information on bulk purchases, please contact Macmillan Corporate and Premium Sales Department by writing to [email protected].

  eISBN 9781466887169

  First eBook edition: December 2014

  * For example, Maria Theresa, empress of Austria (1717-1780), was given the following advice in a note by her personal physician: Ceterum censeo clitorem Vostris Sanctissimae Majestatis ante coitum excitandam esse.

  * In a widely used biographical dictionary, we read that “His munificence as a patron of religion, of letters and of art deserves the highest praise.”

 

 

 


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