21. Claude Bachet De Méziriac Mathematicians Mathematics Science All about claude bachet de Méziriac Mathematicians Mathematics Science. http://infotut.com/reference/Science/Mathematics/Mathematicians/Bachet_de_Méz

Encyclopedia Music Library Music Message Board Geography ... Mathematicians : Bachet de M©ziriac, Claude Biography Claude Gaspard Bachet de M©ziriac was born at Bourg in 1581, and died in 1638. He wrote the Probl¨mes plaisants, of which the first edition was issued in 1612, a second and enlarged edition was brought out in 1624; this contains an interesting collection of arithmetical tricks and questions, many of which are quoted in my Mathematical Recreations and Essays. He also wrote Les ©l©ments arithm©tiques, which exists in manuscript; and a translation of the Arithmetic of Diophantus. Bachet was the earliest writer who discussed the solution of indeterminate equations by means of continued fractions. This category needs an editor - apply here Open Site - Encyclopedia Project Open Site Become an Editor Hot Albums XandY Emancipation of Mimi In Your Honor Monkey Business ... Kids var site="s20infotut"

22. Some Contemporaries Of Descartes, Fermat, Pascal And Huygens claude Gaspard bachet de Méziriac was born at Bourg in 1581, and died in 1638.He wrote the Problèmes plaisants , of which the first edition was issued in http://www.maths.tcd.ie/pub/HistMath/People/17thCentury/RouseBall/RB_Math17C.htm

Some Contemporaries of Descartes, Fermat, Pascal and Huygens From `A Short Account of the History of Mathematics' (4th edition, 1908) by W. W. Rouse Ball. Bachet Mersenne Roberval Van Schooten ... Rolle Bachet was born at Bourg in 1581, and died in 1638. He wrote the , of which the first edition was issued in 1612, a second and enlarged edition was brought out in 1624; this contains an interesting collection of arithmetical tricks and questions, many of which are quoted in my Mathematical Recreations and Essays . He also wrote , which exists in manuscript; and a translation of the Arithmetic of Diophantus. Bachet was the earliest writer who discussed the solution of indeterminate equations by means of continued fractions. Mersenne Marin Mersenne , born in 1588 and died at Paris in 1648, was a Franciscan friar, who made it his business to be acquainted and correspond with the French mathematicians of that date and many of their foreign contemporaries. In 1634 he published a translation of Galileo's mechanics; in 1644 he issued his Cogita Physico-Mathematica , by which he is best known, containing an account of some experiments in physics; he also wrote a synopsis of mathematics, which was printed in 1664.

23. Autor Bachet, Claude Gaspar GG Autor Titel Jahr IDS 163 Bachet Translate this page Autor bachet, claude Gaspar. GG, Autor, Titel, Jahr, IDS. 163, bachet, claudeGaspar, Aesopi vita, 1780, IDS. Klicken Sie auf die GG Nummer, http://www.ub.unibas.ch/kadmos/gg/menu/autor_index_0196.htm

Autor: Bachet, Claude Gaspar GG Autor Titel Jahr IDS Bachet, Claude Gaspar Aesopi vita IDS Klicken Sie auf die GG Nummer , um Detailinformationen zum Titel zu sehen. Klicken Sie auf IDS , um den Titel im Bibliothekskatalog IDS Basel/Bern zu sehen.

24. Druckjahr 1780 GG Autor Titel Jahr IDS 163 Aesopus Fabulae 1780 bachet,claude Gaspar, Aesopi vita, 1780, IDS. Klicken Sie auf die GG Nummer, http://www.ub.unibas.ch/kadmos/gg/menu/jahr_index_0083.htm

Druckjahr: GG Autor Titel Jahr IDS Aesopus Fabulae IDS Bachet, Claude Gaspar Aesopi vita IDS Klicken Sie auf die GG Nummer , um Detailinformationen zum Titel zu sehen. Klicken Sie auf IDS , um den Titel im Bibliothekskatalog IDS Basel/Bern zu sehen.

25. Bachet's Magic Trick bachet s Magic Trick. pairs of objects to the classical Problèmes plaisanset délectables by a pioneer of recreational mathematics claude Gaspar bachet, http://www.cut-the-knot.org/Curriculum/Magic/Bachet.shtml

Username: Password: Sites for teachers Sites for parents Awards Interactive Activities ... Sites for parents Bachet's Magic Trick Let N be an integer. This is the lone number at the bottom of the applet below. It can be modified by clicking on it. Currently it is 4. For practical reasons, it can change between 3 and 6, inclusive. Proceed Explanation Alexander Bogomolny Bachet's Magic Trick N = 4, there are 10 pairs: and N + 1 ) times. N = 4, we have or where in the left half of the table I reversed the order of numbers in a pair. It is now clear that for a pair on the left, the first number points to the row, while the second to the column, in which the pair is located. Additionally, the second number points to the row in which the companion pair (i.e., the one with the original order of numbers) could be found. (Incidentally, its column number is one more than the row number of the left pair.) This means that the location of the latter is uniquely determined by the row numbers of the two pairs as is the location of the original pair. Let's now label the 20 pairs with 20 numbers. If the left pair

26. Bachet's Magic Trick et délectables by a pioneer of recreational mathematics claude Gaspar bachet,sieur de Méziriac (the 1st edition published in 1612, the 2nd in 1624.) http://www.cut-the-knot.com/Curriculum/Magic/Bachet.shtml

Username: Password: Sites for teachers Sites for parents Awards Interactive Activities ... Sites for parents Bachet's Magic Trick Let N be an integer. This is the lone number at the bottom of the applet below. It can be modified by clicking on it. Currently it is 4. For practical reasons, it can change between 3 and 6, inclusive. Proceed Explanation Alexander Bogomolny Bachet's Magic Trick N = 4, there are 10 pairs: and N + 1 ) times. N = 4, we have or where in the left half of the table I reversed the order of numbers in a pair. It is now clear that for a pair on the left, the first number points to the row, while the second to the column, in which the pair is located. Additionally, the second number points to the row in which the companion pair (i.e., the one with the original order of numbers) could be found. (Incidentally, its column number is one more than the row number of the left pair.) This means that the location of the latter is uniquely determined by the row numbers of the two pairs as is the location of the original pair. Let's now label the 20 pairs with 20 numbers. If the left pair

27. Famous Mathematicians. John 15501617 Cataldi, Pietro Antonio 1552-1626 Briggs, Henry 1561-1630Kepler, Johannes 1571-1630 Oughtred, William c.1574-1660 bachet, claude-Gaspar, http://home.egge.net/~savory/maths6.htm

Pre-Einstein famous mathematicians. Stu Savory, 2004. If you ask people these days to name a famous mathematician, surveys show the most popular answer to be Albert Einstein . Einstein himself used to like to quote Sir Isaac Newton's famous humble line "If I have seen further than other men, it is by standing on the shoulders of giants." So I asked myself, who were these giants, i.e. famous pre-Einstein mathematicians. Here's the list of the top 100 or so, sorted chronologically. How many do you know? That means you can state what they were famous for, off the cuff, no googling! If you score below 30 you need to do some revision :-) Ahmes c. 1650 B C Pythagoras c.540 BC Hippocrates c.440 BC (that's Hippocrates of Chios, NOT the physician who lived around the same time). Plato c.430-c.349 BC Hippias c.425 BC Theaetetus c.417-369 BC Archytas c.400 B C Xenocrates 396-314 BC Theodorus c.390 BC Aristotle 384-322 BC Menaechmus c.350 BC Euclid c.300 BC Archimedes c.287-212 BC Nicomedes c.240 BC Eratosthenes Gauss , Karl Friedrich 1777-1855 Brianchon, Charles c.1783-1864 Binet, Jacques-Philippe-Marie 1786-1856 Möbius, August Ferdinand 1790-1868 Babbage, Charles 1792-1871 Laine, Gabriel 1795-1870 Steiner, Jakob 1796-1863 de Morgan, Augustus 1806-1871 Liouville, Joseph 1809-1882 Shanks, William 1812-1882 Catalan, Eugene Charles 1814-1894 Hermite, Charles 1822-1901 Riemann, Bemard 1826-1866 Venn, John 1834-1923 Lucas, Edouard 1842-1891 Cantor, George 1845-1918 Lindemann, Ferdinand 1852-1939 Hilbert, David 1862-1943 Lehmer, D. N. 1867-1938 Hardy, G. H. 1877-1947 Ramanujan, Srinivasa 1887-1920

28. Biographie : Claude Gaspard Bachet De Méziriac (9 Octobre 1581 [Bourg-en-Bresse http://www.bibmath.net/bios/index.php3?action=affiche&quoi=bachet

29. DicoMaths : Poids De Bachet Translate this page Ce problème a été posé par claude bachet en 1624 dans son ouvrage Problèmesplaisants et délectables qui se font par les nombres. Il y apporte deux réponses http://www.bibmath.net/dico/index.php3?action=affiche&quoi=./p/pdsbachet.html

30. The Book Collector - Alphabetical Index To Volume 2 (1953) bachet, claudeGaspar, 206. Baltimore, Johns Hopkins University, 171. Baring,Maurice, 242, Pl., 246. Barrois, Pierre-Theophile, 222-3 q http://www.thebookcollector.co.uk/annualindices/bcindex1953.html

Find entries containing any search term: Find entries containing all search terms: Construct an alphabetical index for any year: (the box above must contain the year only) Alphabetical Index of The Book Collector Volume 2 (1953) This index contains 590 entries Index entry Page(s) A Note on Eric Gill's Pilgrim Type: Walter Tracey Abbey, John R. Abbey, John R.: signed bindings Abbey, John R. American Book Collector: reviews of books American Book-Prices Current: reviews of books An Eighteen Century Irish Gentleman's Library: Thomas U. Sadleir Antiquarian Booksellers: Directory of Dealers Antiquarian Booksellers: Antiquarian Bookman Antiquarian Booksellers' Association Artaria: music publications Association Copies: Sir Sydney C. Roberts 243-6, pls. Audubon, John James: Birds of America Authors, 'uncollected', 1: Raymond Chandler : Check-list Aylott and Jones 219-21 n Bachet, Claude-Gaspar Baltimore, Johns Hopkins University Baring, Maurice 242, Pl., 246 Barrois, Pierre-Theophile 222-3 q Baskerville, John Bate, James Baumgarten, John Beerbohm, Max:

31. Liste Des Oeuvres De Claude Gaspar Bachet De MEZIRIAC industrieus (Les Amours de Rosine); Rosine avecques moy pourroit parfaitement (Les http://poesie.webnet.fr/auteurs/meziriac.html

Claude Gaspar Bachet de MEZIRIAC (1592-1638) Quand nature forma d'un art industrieus (Les Amours de Rosine) Rosine avecques moy pourroit parfaitement (Les Amours de Rosine) Pour des raisons de propriété intellectuelle, nous ne pouvons actuellement vous présenter d'oeuvres plus récentes. Webnet Adressez vos commentaires au

32. Untitled Document claude Gaspard bachet de Méziriac was born at Bourg in 1581, and died in 1638.He wrote the Problèmes plaisants, of which the first edition was issued in http://www.meta-religion.com/Mathematics/Biography/contemporaries_of_descartes.h

to promote a multidisciplinary view of the religious, spiritual and esoteric phenomena. About Us Links Search Contact ... Science home Religion sections World Religions New Religious Groups Ancient Religions Spirituality ... Extremism Science sections Archaeology Astronomy Linguistics Mathematics ... Contact The Web Metareligion More sections: Subscribe to the Metareligion Newsletter Photography Submit your site Suggest an article ... Polls Please, help us sustain this free site online. Make a donation using Paypal: Some Contemporaries of Descartes, Fermat, Pascal and Huygens From `A Short Account of the History of Mathematics' (4th edition, 1908) by W. W. Rouse Ball. Bachet Mersenne Marin Mersenne, born in 1588 and died at Paris in 1648, was a Franciscan friar, who made it his business to be acquainted and correspond with the French mathematicians of that date and many of their foreign contemporaries. In 1634 he published a translation of Galileo's mechanics; in 1644 he issued his Cogita Physico-Mathematica, by which he is best known, containing an account of some experiments in physics; he also wrote a synopsis of mathematics, which was printed in 1664. Roberval Gilles Personier (de) Roberval, born at Roberval in 1602 and died at Paris in 1675, described himself from the place of his birth as de Roberval, a seigniorial title to which he had no right. He discussed the nature of the tangents to curves, solved some of the easier questions connected with the cycloid, generalized Archimedes's theorems on the spiral, wrote on mechanics, and on the method of indivisibles, which he rendered more precise and logical. He was a professor in the university of Paris, and in correspondence with nearly all the leading mathematicians of his time.

33. Claude-Gaspard BACHET De MÉZIRIAC Translate this page claude-Gaspard bachet de MÉZIRIAC (1581-1638) dans son Histoire de la Bresseet du Bugey, l’appelle claude-Gaspard bachet, écuyer, sieur de Meyseria, http://www.academie-francaise.fr/immortels/base/academiciens/script_ordre.asp?pa

34. Diophantus Of Alexandria And The 10-th Problem Of Hilbert claude bachet’s translation into Latin in 1621 came into the hands of Fermat inToulouse. Diophantus presents a collection of 189 problems, http://www.mlahanas.de/Greeks/Diophantus.htm

Diophantus of Alexandria Michael Lahanas Diophant von Alexandrien We know almost nothing about Diophantus, except that he lived, in Alexandria. We know that he quotes Hypsicles (150 BC) and he is quoted by Theon of Alexandria (whose date is fixed by the solar eclipse of June 16, 364 AD ). This tomb hold Diophantus. Ah, what a marvel! And the tomb tells scientifically the measure of his life. God vouchsafed that he should be a boy for the sixth part of his life; when a twelfth was added, his cheeks acquired a beard; He kindled for him the light of marriage after a seventh, and in the fifth year after his marriage He granted him a son. Alas! late-begotten and miserable child, when he had reached the measure of half his father's life, the chill grave took him. After consoling his grief by this science of numbers for four years, he reached the end of his life. J R Newman (ed.) The World of Mathematics (New York 1956). From his epitaph, which can be written as a linear equation x = x/6 + x/12 + x/7 + 5+ x/2 + 4 (where x is the number of years of Diophantus lived ) we find a solution x = 84. We know therefore that he married at the age of 33, had a son who died when he was 42, 4 years before Diophantus himself died. Assumimg that he was born around 200 AD then Diophantus lived in the period (

35. Timeline Of Fermat's Last Theorem The copy Fermat had was the one translated by claude bachet in 1621. early 1600s,claude bachet, bachet acquired a copy of the Greek Arithmetica of http://www.public.iastate.edu/~kchoi/time.htm

Drink to Me (Carolan, sequenced by Barry Taylor) Timeline of Fermat's Last Theorem when who what 1900 BC Babylonians A clay tablet, now in the museum of Columbia University, called Plimpton 322, contains 15 triples of numbers. They show that a square can be written as the sum of two smaller squares, e.g., 5 circa 530 Pythagoras Pythagoras was born in Samos. Later he spent 13 years in Babylon, and probably learned the Babylonian's results, now known as the Pythagorean triples. Pythagoras was also the founder of a secret society that studied among others "perfect" numbers. A perfect number is one that is the sum of its multiplicative factors. For instance, 6 is a perfect number (6 = 1 + 2 + 3). Pythagoreans also recognized that 2 is an irrational number. circa 300 BC Euclid of Alexandria Euclid is best known for his treatise Elements circa 400 BC Eudoxus Eudoxus was born in Cnidos, and became a colleague of Plato. He contributed to the theory of proportions, and invented the "method of exhaustion." This is the same method employed in integral calculus. circa 250 AD Diophantus of Alexandria Diophantus wrote Arithmetica , a collection of 130 problems giving numerical solutions, which included the Diophantine equations , equations which allow only integer solutions (e.g, ax + by = c, x

36. Math Forum - Ask Dr. Math you are looking at was originally solved by a man named claude bachet (15871638) . The original problem that bachet considered was how many weights, http://mathforum.org/dr.math/problems/macdougall12.7.97.html

Associated Topics Dr. Math Home Search Dr. Math Three Weights Date: 12/07/97 at 17:08:59 From: Jeff MacDougall Subject: Advanced Algebra Honors I can't figure this out, it is a problem for my Algebra 2 class that I and my friends can't figure out: A boy selling fruits has only three weights, but with them he can weigh any whole number of pounds from 1 pound to 13 pounds inclusive. What three weights does he have? http://mathforum.org/dr.math/ Associated Topics High School Basic Algebra High School Puzzles Middle School Algebra Middle School Puzzles Search the Dr. Math Library: Find items containing (put spaces between keywords): Click only once for faster results: [ Choose "whole words" when searching for a word like age. all keywords, in any order at least one, that exact phrase parts of words whole words Submit your own question to Dr. Math Math Forum Home Math Library Quick Reference ... Math Forum Search Ask Dr. Math TM http://mathforum.org/dr.math/

37. Math Forum Discussions claude Gaspar bachet de Méziriac et Fermat. http://mathforum.org/kb/thread.jspa?threadID=438191&messageID=1383220

38. Combinatorics And Probability - Numericana These rare arrangements are named after claude Gaspar bachet de Méziriac (15811638)who first published this puzzle in 1624. http://home.att.net/~numericana/answer/counting.htm

home index units counting ... physics Final Answers , Ph.D. Combinatorics and Probabilities Always change your first guess if you're always told another choice is bad. The Three Prisoner Problem predated Monty Hall and Marilyn by decades. Seating N children at a round table in (N-1)! different ways. How many Bachet squares ? A 1624 puzzle with the 16 court cards (AKQJ). Choice Numbers : C(n,p) is the number of ways to choose p items among n. C( n+2,3 ) three-scoop sundaes . Several ways to count them (n flavors). C( n+p 1,p ) choices of p items among n different types, allowing duplicates How many new intersections of the straight lines defined by n random points. Face cards . The probability of getting a pair of face cards is less than 5%. Homework Central : Aces in 4 piles, bad ICs, airline overbooking. Binomial distribution . Defective units in a sample of 200. Siblings with the same birthday . What are the odds in a family of 5? Variance of a binomial distribution , as obtained quickly from general principles. Standard deviation . Two standard formulas to estimate it. Inclusion-Exclusion : One approach to the probability of a union of 3 events.

39. The Galileo Project bachet de Meziriac, claudeGaspar. 1. Dates Born Bourg-en-Bresse, 9 Oct.1581Died Bourg-en-Bresse, 26 Feb. 1638 Dateinfo Dates Certain Lifespan 57 http://galileo.rice.edu/Catalog/NewFiles/bachet.html

Bachet de Meziriac, Claude-Gaspar 1. Dates Born: Bourg-en-Bresse, 9 Oct.1581 Died: Bourg-en-Bresse, 26 Feb. 1638 Dateinfo: Dates Certain Lifespan: 2. Father Occupation: Aristocrat, Government Official The honorable Jean Bachet, from an ancient and noble family, appeals judge in Bresse, the highest judicial official in the province, and counselor to Henry II. He died when Bachet was six. It seems clear that he grew up in wealthy circumstances. 3. Nationality Birth: Bourg-en-Bresse, France Career: France Death: Bourg-en-Besse, France 4. Education Schooling: Padua He had his early education in a house of the Jesuit order of the Duchy of Savoy. Probably studied in the Jesuit school in Lyons. Presumbly studied in Padua and may have been taught in a Jesuit School in Milan or Como. 5. Religion Affiliation: Catholic Bachet jointed the Jesuit order at the age of twenty. He did the premiere classe at Milan, but then fell ill and left the order (1602). 6. Scientific Disciplines Primary: Mathematics Contribution to the theory of numbers and to the field of mathematical recreations. He discovered a method of constructing magic squares. 7. Means of Support

40. The Galileo Project Scientific Societies Memberships None Connections Taught Jacques Ozanam,claude Gasper bachet de Meziriac; corresponded with Fermat and bachet. Sources http://galileo.rice.edu/Catalog/NewFiles/billy.html

Billy, Jacques de 1. Dates Born: Compiègne, France, 1602 Died: France, 1679 Dateinfo: Dates Certain Lifespan: 2. Father Occupation: No Information No information on financial status. 3. Nationality Birth: Compieègne, France Career: France Death: France 4. Education Schooling: Religous Order, D.D. After finishing humanistic studies, entered Jesuit order, then studied theology. I accept the equivalent of B.A. As an ordained Jesuit who took all four vows, he would have completed a doctorate in theology. 5. Religion Affiliation: Catholic, Jesuit 6. Scientific Disciplines Primary: Mathematics, Astronomy 7. Means of Support Primary: Ecclesiastical Position Secondary: Schoolmaster 1629-30, taught mathematics at Jesuit college at Pont à Mousson while a theology student. 1631-33, taught mathematics at Jesuit college at Rheims. According to Humbert he taught also in the Jesuit college at Grenoble and was rector of Chalons, Langres, and Sens. Master of studies and professor of theology at the College de Dijon, taught mathematics privately. 1665-68, Professor of Mathematics, College de Dijon.

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