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Pappus Of Alexandria:     more detail

Pappus of Alexandria - Book 7 of the Collection by Alexander Jones, 1986-12-31 Pappus of Alexandria and the Mathematics of Late Antiquity (Cambridge Classical Studies) by Serafina Cuomo, 2007-06-21 Selections Illustrating The History Of Greek Mathematical Works..2 Volume Set..Vol. 1:Thales To Euclid:Vol.2:Aristarchus To Pappus Of Alexandria...Loeb Classical Library Pappus of Alexandria: Book 7 of the Collection by Pappus, 1985 Pappus of Alexandria Book 7 Part 2 Only by Alexander Jones, 1986 On the duplication of the cube in Pappus of Alexandria (IIIrd century A.D.) (Rapport / Séminaires de mathématique pure) by E Étienne, 1978 The Commentary of Pappus on Book X of Euclid's Elements: Arabic Text and Translation by Pappus of Alexandria & William Thomson, 1930

lists with details

21. [HM] Pappus Of Alexandria
    HM pappus of alexandria. 8 Dec 2001 HM pappus of alexandria, by Roger Cooke9 Dec 2001 Re HM pappus of alexandria, by Michael Deakin The Math Forum  
    http://mathforum.org/epigone/historia_matematica/smouphayskar

22. Re: [HM] Apollonius' Conics By Antreas P. Hatzipolakis
    In book 7 of the Mathematical Collection , pappus of alexandria (ca.AD 300) described the contents of various works by Apollonius (ca.  
    http://mathforum.org/epigone/historia_matematica/swexhomimp/v01540B06630BC49A165

23. Pappus Of Alexandria | C290-c350 | Greek Geometer
    pappus of alexandria c290c350 Greek geometer.Varia positiones in prob Pappi (1667-1707).  
    http://www.nahste.ac.uk/pers/p/GB_0237_NAHSTE_L2018/

24. People Index: P
    biochemist; Pallin William fl1900; Palmieri Italian professor;pappus of alexandria c290c350 Greek geometer; Parana Baron  
    http://www.nahste.ac.uk/pers/p/

25. BMCR-L: BMCR 2002.03.31, Serafina Cuomo, Pappus Of Alexandria And The
    BMCR 2002.03.31, Serafina Cuomo, pappus of alexandria and the.  
    http://omega.cohums.ohio-state.edu:8080/hyper-lists/bmcr-l/2002/0077.html

26. Pappus Of Alexandria Book 7 Of The Collection Part 1: Introduction Text And Tran
    pappus of alexandria Book 7 of the Collection Part 1 Introduction Text and TranslationPart 2 Commentary Index and Figures (Sources in the History of  
    http://www.brandneu-dvd-video.de/pappus-of-alexandria-book-7-of-the-collection-p

27. Pappus Of Alexandria - Acapedia - Free Knowledge, For All
    Friends of Acapedia pappus of alexandria. From Wikipedia, the free encyclopedia.(There is currently no text in this page). Current Events. Sciences.  
    http://acapedia.org/aca/Pappus_of_Alexandria

28. Read This: Briefly Noted
    ISBN 088385-642-5,. pappus of alexandria and the Mathematics of Late Antiquity,by S. Cuomo. Cambridge University Press, 2000. Hardcover, 234pp., $59.95.  
    http://www.maa.org/reviews/brief_jun00.html
    
    Extractions: The New Mathematical Library is one of MAA's most successful series, and it has been publishing problem books almost since the beginning. Volume five in the Library was The Contest Problem Book I , containing problems from high school mathematics competitions, 1950-1960. Many years later, here we have the 40th entry in the New Mathematical Library and the sixth Contest Problem Book . This one collects problems that were part of the American High School Mathematics Examinations (AHSME) between 1989 and 1994, "compiled and augmented" by Leo J. Schneider. The first part of the book is all business: each of the (multiple choice) examinations is included, followed by a list of answers which includes the distribution of responses on the exam and some brief comments on "the distractors," that is, the wrong answers in the multiple choice questions. The second part of the book is the real meat: full solutions of all the problems in each of the examinations. In the back of the book, three short chapters offer some insider's information on the problems, some hints on solving problems for mathematics examinations, and a classification of the problems by subject. Anyone working with high school students needs this book, and many of us who teach undergraduates will find that some of these problems will stump our students too. (Fernando Q. Gouvêa)

29. AMERICAN MATHEMATICAL MONTHLY - June/July 2001
    A theorem of the great mathematician, pappus of alexandria, makes a beautifulconnection between algebra and geometry that we explore in this article.  
    http://www.maa.org/pubs/monthly_jj02_toc.html
    
    Extractions: A theorem of the great mathematician, Pappus of Alexandria, makes a beautiful connection between algebra and geometry that we explore in this article. We start with a geometric structure and impose certain postulates and theorems to determine an algebraic structure of an abstract coordinate set. Then we prove that Pappus' theorem is sufficient for commutativity of multiplication there. It can also be proved that it is necessary. At the end of the article we examine a host of horizons opened by Pappus' theorem and provide a substantial resouce list for further exploration. A Curious Connection Between Fermat Numbers and Finite Groups The authors were investigating finite groups possessing a property related to certain subsets of the group, when suddenly the problem became entangled in number theory. The shocking conclusion is that the solution to a large part of the group theory problem is a direct consequence of the fact that the Fermat number 2 +1 is not prime.

30. Serafina CuomoPappus Of Alexandria And The Mathematics Of Late AntiquityThis Boo
    Serafina Cuomo. pappus of alexandria and the Mathematics of Late Antiquity.This book is at once an analytical study of one of the  
    http://www.yurinsha.com/328/p8.htm
    
    Extractions: This book is at once an analytical study of one of the most important mathematical texts of antiquity, the Mathematical Collection of the fourth-century AD mathematician Pappus of Alexandria, and also an examination of the work's wider cultural setting. This is one of very few books to deal extensively with the mathematics of Late Antiquity. It sees Pappus's text as part of a wider context and relates it to other contemporary cultural practices and opens new avenues to research into the public understanding of mathematics and mathematical disciplines in antiquity.

31. The History Of Mathematics - Library Center For E-courses
    Menelaus of Alexandria Amy Bowman adn Micha Christensen ? ? ? ? pappus of alexandria The Mac Tutor  
    http://www-lib.haifa.ac.il/www/mesila/math/sites.htm

32. History Of Mathematics: Alexandria
    100178); Diophantus; pappus of alexandria (c. 320); Theon; Hypatiaof Alexandria (c. 370-415). References on the Web. Alaa K. Ashmawy's  
    http://aleph0.clarku.edu/~djoyce/mathhist/alexandria.html

33. History Of Mathematics: Greece
    c. 250c. 350); pappus of alexandria (c. 320); Serenus of Antinopolis(c. 350); Theon of Alexandria (c. 390); Synesius of Cyrene, Bishop  
    http://aleph0.clarku.edu/~djoyce/mathhist/greece.html

34. Alexander Jones's Publications
    pappus of alexandria. Book 7 of the Collection. Articles, ‘pappus of alexandria’,‘Hipparchus’, ‘Ptolemy’, ‘Ptolemaic System’.  
    http://www.chass.utoronto.ca/~ajones/publications/
    
    Extractions: (with M. W. Haslam, F. Maltomini, M. L. West, and others) The Oxyrhynchus Papyri Volume LXV. London, 1998. Egypt Exploration Society, Graeco-Roman Memoirs 85. 212 pp. Ptolemy's first commentator . Transactions of the American Philosophical Society, 80.7. Philadelphia, 1990. An Eleventh-century manual of Arabo-Byzantine astronomy . Corpus des astronomes byzantins, 3. Amsterdam (Gieben), 1987. Pappus of Alexandria. Book 7 of the Collection . Edited with translation and commentary by Alexander Jones. Sources in the History of Mathematics and the Physical Sciences, 8. 2 vols. Berlin (Springer Verlag), 1986. Articles The Astrologers of Oxyrhynchus and Their Astronomy. Forthcoming in Oxyrhynchus: A City and its Texts Astronomy after Ptolemy. Forthcoming in

35. Pappus Vi 1-11
    pappus of alexandria, Mathematical Collection vi §§111, pp. 474.1-488.25.Contents Lemmata pappus of alexandria, Collection 6.  
    http://www.calstatela.edu/faculty/hmendel/Ancient Mathematics/Pappus/Bookvi/Papp
    
    Extractions: Lemmata: These concern Menelaus trilaterals (spherical triangles whose sides are circular-arcs of great circles less than a semicircle). Prop. 1: Prop. 2: Prop. 3: Prop. 4: Let two arcs be drawn from the vertex of a trilateral to points on the base equidistant (in arcs) from the end points of the base. These form a trilateral inside a larger trilateral. The two sides from the vertex of the larger trilateral are larger than the two sides of the smaller. The following theorems use this figure: A great-circle through the poles of two circles, one of which is an equator parallel to some latitudes and the other is at an angle to the equator. The initial great circle is at right angles to the others. We can call this (from its astronomical use), a colure-equator-ecliptic configuration. We will only be concerned with the quadrant between the intersection of the ecliptic/equator and the colure as marked. Prop. 5:

36. Pappus Iv 45-47
    next section (props. 4851). pappus of alexandria, Mathematical CollectionIV §§45-47, pp. 284.21-288.14. Prop. 45 Division of  
    http://www.calstatela.edu/faculty/hmendel/Ancient Mathematics/Pappus/Bookiv/Papp
    
    Extractions: Go to next section (props. 48-51) Pappus of Alexandria, Mathematical Collection Prop. 45: Division of a angle or circular-arc in a given ratio by a quadratrix Prop. 46: Division of a angle or circular-arc in a given ratio by an Archimedes spiral. Prop. 47: Constructing equal circular-arcs in two unequal circles. Prop. 45. And so trisecting the given angle or circular-arc is solid, as was previously proved, but cutting the given angle or circular-arc is linear, and this was proved by more recent people, but it will be proved as well by us in two ways. (general diagram) (diagram 1) For let there be a circular-arc LQ of circle KLQ, and let it be required to cut it in the given ratio. (diagram 2) LBQ is at the center, BK at right angles to BQ, and let there be inscribed squaring line (quadratrix) KADG through K, and

37. Biography-center - Letter P
    Pappenheim, Artur www.whonamedit.com/doctor.cfm/1757.html; pappus of alexandria,wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/Pappus.html;  
    http://www.biography-center.com/p.html
    
    Extractions: random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish 510 biographies

38. Mathematician Biographies
    all written by the same man. Link to more information Back to Toppappus of alexandria. Born about 290 in Alexandria, Egypt Died  
    http://carrie.soffietti.students.noctrl.edu/mathbios.htm
    
    Extractions: He was a pre-Socratic philosopher, who specialized in geometry. After being a merchant toward the beginning of his life, his interests shifted to astronomy, then to philosophy, and then to mathematics. Thales calculated the height of the Great Pyramid in Egypt with the sun and a stick. He is also known for his five geometric theorems that state (1) a closed angle circumscribed in a semicircle is a right angle, (2) a diameter bisects a circle, (3) if two sides of a triangle are equal then their bases are equal and vice versa (the definition of an isosceles triangle), (4) the vertical angle theorem, and (5) the theorem for similar triangles: if two triangles have equal angles, then any ratio of corresponding sides has the same value as any other (which is the basis for trigonometry). No direct writings are attributed to him, for they may have been lost or his findings were only recorded by others.

39. Encyclopædia Britannica
    Additional reading from pappus of alexandria pappus of alexandria, Book7 of the Collection, ed. and trans. by Alexander Jones, 2 vol.  
    http://search.britannica.com/search?query=philo of alexandria&ct=eb&fuzzy=N&show

40. Encyclopædia Britannica
    Educational Resources. Free articles, lectures and seminars from the world'sexperts, The Web's Best Sites, pappus of alexandria University of St.  
    http://search.britannica.com/search?query=philo of alexandria&ct=igv&fuzzy=N&sho

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