101. Pell http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Pell.html

PELL John, anglais, 1611-1685 Euler Diophante Brouncker x - Ay (e) Wallis Fermat Euler - mais ce sera Lagrange A en fraction continue (on dit aussi continuée ) sur une idée de Brouncker Brahmagupta et Bhaskara Cas de l'équation x - Ay l'entier A étant entier, non carré, sa racine est irrationnel et algébrique de degré 2. Par suite, son développement en fraction continue est périodique ; notons p sa période. Si a k /b k désigne les réduites de A, les solutions positives de l'équation sont de la forme : x = a kp - 1 , y = b kp , k = 1, 2, ... si p est pair x = a , y = b , k = 1, 2, ... si p est impair si A = 5, on a p = 1; on obtient les réduites 9/4 , 38/17, ... Deux solutions de l'équation x sont donc : (x,y) = ( a ,b = (9,4) avec k = ; (x,y) = (161,72) = ( a ,b avec k = 1 Autre résolution de ce cas simple : A l'aide de l'ordinateur : n=0;a=2; x=1;y=1; while (1) n++; xn=x+y; yn=y+a*x; p=yn*yn-2*xn*xn; x=xn;y=yn; Ce petit programme donne des solutions de l'équation x La raison vous en sera exposée en cliquant ci-dessous : Théon de Smyrne et racine carrée : Pour en savoir plus : ABRÉGÉ D'HISTOIRE DES MATHÉMATIQUES , Jean Dieudonné et une équipe de mathématiciens Ed. Hermann - 1978 ,1992.

102. The Galileo Project 1685 Dateinfo Dates Certain Lifespan 74 2. Father Occupation ClericJohn pell was the Vicar of Southwick. He died when pell was five. http://galileo.rice.edu/Catalog/NewFiles/pell.html

Pell [Pellius], John 1. Dates Born: Southwick, Sussex, 1 March 1611 Died: London, 12 Dec. 1685 Dateinfo: Dates Certain Lifespan: 2. Father Occupation: Cleric John Pell was the Vicar of Southwick. He died when Pell was five. The mother died a year later. No information on financial status; no single word on how Pell survived. There are vague hints that there was family in the Southwick area. All that is known is that Pell enrolled in Cambridge at age thirteen. 3. Nationality Birth: English Career: English, Dutch Death: English 4. Education Schooling: Cambridge, M.A. Steyning School in Sussex. Cambridge University; Trinity College, 1624-30. B.A., 1628; M.A., 1630. D.D., at Lambeth, 1663. I don't list this; it clearly derived from the patronage of Archbishop Sheldon. 5. Religion Affiliation: Calvinist, Anglican Having been deeply involved with the Commonwealth, Pell conformed at the Restoration. 6. Scientific Disciplines Primary: Mathematics Subordinate: Astronomy Pell published Idea of Mathematics, 1638, a general program in the Comenian spirit, not a contribution to mathematics. In the mid '40s he was involved in a dispute with Longomontanus on Longomontanus' mistaken value for pi. Pell published Controversiae de vera circuli mensura, 1647.

103. John Channing Family Francis john Higginson 1806 1872 .. FerrisPell 1790 - 1850 .. http://www3.edgenet.net/fcarpenter/chanfam.html

THE CHANNING FAMILY Family tradition says that the first John Channing brought a silver coffee pot with him when he came in 1712. This coffee pot had this Coat of Arms on it. See GARVAGH (George Canning) in Burke's Peerage. JOHN(1) CHANNING , was born in Dorsetshire, England, on August 21, 1683. In June of 1712, he and MARY ANTRAM arrived in Boston. They were married in Boston, September 2, 1712. Shortly thereafter they arrived in Newport, RI, were he kept the Union Flagg Tavern. He died June 21, 1731 and she died May 16, 1741. Both were buried in Newport's Common Burial Ground. Their only known male heir was JOHN(2) CHANNING, born in Boston on December 17, 1714. On October 16, 1740 he married MARY CHALONER, the daughter of Ninyon Chaloner and Anne Tyrrell Brown(?). Mary was the widow of Dr. James Robinson by whom she had one child, Sara Ann, who married Caleb Gardner. From Ezra Stiles LITERARY DIARY, I:91 for Feb. 20, 1771: He was among the original Proprietors of the Redwood Library of Newport, RI, in 1747. Children of John(2) Channing and Mary Chaloner (1)Mary Channing, born in Newport October 18, 1747. She married George Gibbs.

104. A Cardinal Virtue Is Made Of A Publican's Son - National - Smh.com.au Be not afraid . . . Archbishop pell plants a kiss on the hand of an ailing PopeJohn Paul II during yesterday s ceremony in Rome. Photo AFP/Vincenzo Pinto. http://www.smh.com.au/articles/2003/10/21/1066631429750.html?from=storyrhs

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