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

a topic from Historia-Matematica Discussion Group [HM] Pappus of Alexandria post a message on this topic post a message on a new topic 8 Dec 2001 [HM] Pappus of Alexandria , by Roger Cooke 9 Dec 2001 Re: [HM] Pappus of Alexandria , by Michael Deakin The Math Forum

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

Re: [HM] Apollonius' Conics by Antreas P. Hatzipolakis reply to this message post a message on a new topic Back to messages on this topic Back to Historia-Matematica Discussion Group Subject: Re: [HM] Apollonius' Conics Author: xpolakis@otenet.gr Date: The Math Forum

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/

the project the collections biographies multimedia the project the collections biographies multimedia ... Varia positiones ... in prob: Pappi

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/

the project the collections biographies multimedia ... Z People index: 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

BMCR 2002.03.31, Serafina Cuomo, Pappus of Alexandria and the Date view Thread view Subject view Author view Subject: BMCR 2002.03.31, Serafina Cuomo, Pappus of Alexandria and the From: owner-bmcrlist-l@brynmawr.edu Date: Sun Mar 17 2002 - 14:38:15 EST Next message: owner-bmcrlist-l@brynmawr.edu: "BMCR 2002.03.33, Michael Crudden, The Homeric Hymns" Previous message: owner-bmcrlist-l@brynmawr.edu: "BMCR 2002.03.29, Penelope Walton Rogers, The Roman Textile" Bryn Mawr Classical Review 2002.03.31 Serafina Cuomo, Pappus of Alexandria and the Mathematics of Late Antiquity. Cambridge: Cambridge University Press, 2000. Pp. x + 234. ISBN 0-521-64211-6. $59.95. Reviewed by Alan C. Bowen, Institute for Research in Classical Philosophy and Science (Princeton) ( acbowen@Princeton.edu Word count: 1922 words As it is typically practiced today, the history of ancient Greek mathematics is a history of results and the resources or techniques used to get them, and, when its practitioners do attempt to write about the historical circumstances of the ideas they study, too often they fallaciously confuse their logical reconstructions with past realia.

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

Pappus of Alexandria Book 7 of the Collection Part 1: Introduction Text and Translation Part 2: Commentary Index and Figures (Sources in the History of Mathematics and Physical Sciences Vol 8) Jones Alexander Pappus of Alexandria Book 7 of the Collection. Part 1: Introduction Text and Translation Part 2: Commentary Index and Figures (Sources in the History of Mathematics and Physical Sciences Vol. 8) Variationsungleichung Fachbücher Gebundene Ausgabe Hardcover Univalent Functions and Teichmüller Spaces (Graduate Texts in Mathematics Vol. 109)... Introduction to Probability (Springer Texts in Electrical Engineering)... Residual Stress. Measurement by Diffraction and Interpretation (Materials Research and Engineering)... Home ... Einführung in den Gewerblichen Rechtsschutz und das Urheberrecht....

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

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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

Read This! The MAA Online book review column Briefly Noted June 2000 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

JUNE-JULY 2002 The Theorem of Pappus: A Bridge between Algebra and Geometry by Elena Anne Marchisotto emarchisotto@csun.edu 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 by Carrie E. Finch and Lenny Jones cfinch@math.sc.edu lkjone@ship.edu 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

Serafina Cuomo Pappus of Alexandria and the Mathematics of Late Antiquity 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. Introduction; 1. The outside world; 2. Bees and philosophers; 3. Inclined planes and architects; 4. Altars and strange curves; 5. The inside story. ENew topic - no other monograph on Pappus of Alexandria ENew methodology - relates mathematical practices to other cultural practices in Late antiquity ENew conclusions - concludes that Pappus had a precise agenda and used his sources strategically S. R. Alpern

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

The History of Mathematics Trinity College, Dublin:á åôñàðù íåçúá íéøúà David R. Wilkins éãé ìò The History of Mathematics David R. Wilkins : é"ò êøòð History of mathematics resources Indexes of Biographies MacTutor History of Mathematics archive:êåúî Mathematicians of the Seventeenth and EigHteenth Centuries Mathematics Genealogy Project Mathematical Journey through Time The Mactutor History of Mathematics archive University of st Andrews Scotland,School of Mathematics and Statistics:êåúî Philosophy and History of Science Kyoto University World of Scientific Biography Erics Treasure Trove of Scientific Biography Arabic mathematics : forgotten brilliance? Doubling the cube History Topics: Babylonian mathematics History Topics: Ancient Egyptian mathematics ... udoxus of Cnidus The Mac Tutor History of Mathematics Archive, University of St. Andrews êåúî Eudoxus of Cnidus An Introduction to the works of Euklid with an Emphasis on the Elements Euclid of Alexandria The Mac Tutor History of Mathematics Archive University of St. Andrews:êåúî

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

Alexandria Mathematicians Euclid (c. 300 B.C.E) Hypsicles Heron Menelaus Ptolemy (Claudius Ptolemaeus) (C.E. 100-178) Diophantus Pappus of Alexandria (c. 320) Theon Hypatia of Alexandria (c. 370-415) References on the Web Alaa K. Ashmawy's Alexandria page including much information on Alexandria's history Ellen N. Brundige's article on the Library of Alexandria Bibliography Davis, H. T. Alexandria, the golden city. 2 volumes. Principia Press of Illinois, Evanston, 1957. Parsons, Edward Alexander The Alexandrian library, glory of the Hellenic world; its rise, antiquities, and destructions. Elsevier, Amsterdam-New York, 1952. Regional mathematics Subjects Books and other resources Chronology ... Home

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

Greece Cities Abdera: Democritus Alexandria : Apollonius, Aristarchus, Diophantus, Eratosthenes, Euclid , Hypatia, Hypsicles, Heron, Menelaus, Pappus, Ptolemy, Theon Amisus: Dionysodorus Antinopolis: Serenus Apameia: Posidonius Athens: Aristotle, Plato, Ptolemy, Socrates, Theaetetus Byzantium (Constantinople): Philon, Proclus Chalcedon: Proclus, Xenocrates Chalcis: Iamblichus Chios: Hippocrates, Oenopides Clazomenae: Anaxagoras Cnidus: Eudoxus Croton: Philolaus, Pythagoras Cyrene: Eratosthenes, Nicoteles, Synesius, Theodorus Cyzicus: Callippus Elea: Parmenides, Zeno Elis: Hippias Gerasa: Nichmachus Larissa: Dominus Miletus: Anaximander, Anaximenes, Isidorus, Thales Nicaea: Hipparchus, Sporus, Theodosius Paros: Thymaridas Perga: Apollonius Pergamum: Apollonius Rhodes: Eudemus, Geminus, Posidonius Rome: Boethius Samos: Aristarchus, Conon, Pythagoras Smyrna: Theon Stagira: Aristotle Syene: Eratosthenes Syracuse: Archimedes Tarentum: Archytas, Pythagoras Thasos: Leodamas Tyre: Marinus, Porphyrius Mathematicians Thales of Miletus (c. 630-c 550)

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/

Alexander Jones Publications Books and Monographs (with J. L. Berggren) Ptolemy's Geography: An Annotated Translation of the Theoretical Chapters. Princeton (Princeton University Press), in press. Astronomical Papyri from Oxyrhynchus Memoirs of the American Philosophical Society. 2 vols. Philadelphia, 1999. (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

Pappus, from the book on spherical geometry trans. by Henry Mendell, Cal. State U., L.A. Return to Vignettes of Ancient Mathematics Pappus of Alexandria, Mathematical Collection Contents: 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. Theorems: 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

Pappus cutting an angle in any ratio with Quadratrix and Spiral trans. by Henry Mendell, Cal. State U., L.A. Return to Vignettes of Ancient Mathematics 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. Division of angle or circular-arc in a given ratio by Quadratrix (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

Visit a 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 P 510 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Peres.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Peter.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Polya.html Paar, Jack www.pbs.org/wnet/americanmasters/database/paar_j.html Paavolainen, Olavi www.kirjasto.sci.fi/opaavola.htm Pacchia, Girolamo del www.getty.edu/art/collections/bio/a844-1.html Pacchioni, Antonio www.whonamedit.com/doctor.cfm/391.html Pace, Carlos www.grandprix.com/gpe/drv-paccar.html Pacher, Michael www.kfki.hu/~arthp/bio/p/pacher/biograph.html Pacioli, Luca www-history.mcs.st-and.ac.uk/~history/Mathematicians/Pacioli.html Packer, Kerry www.abc.net.au/btn/australians/packer.htm Paczynski, Bohdan www.phys-astro.sonoma.edu/BruceMedalists/Paczynski/index.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Pade.html

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

Biographies of Mathematicians The table below is alphabetical order; however, the biographies that follow are in chronological order, according to birth dates. Agnesi deLagny Newton Thales ... References Return to: Carrie Soffietti's Home Page Thales of Miletus Born: about 624 BC in Miletus, Asia Minor (modern day Turkey) Died: about 547 BC in Miletus, Asia Minor (modern day Turkey) 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. Link to more information Back to Top Pythagoras of Samos Born: about 569 BC in Samos, Ionia

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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