41. Pappus_of_Alexandria pappus of alexandria is one of the most important mathematicians of ancientGreek time, pappus of alexandria Encyclop?dia Britannica http://copernicus.subdomain.de/Pappus_of_Alexandria

Suche: Main Page He was born at Alexandria in Egypt . Although very little is known about his life, the written records suggest he was a teacher. His principal work is known as the ''Synagoge'' (c. ). Comprising of at least eight volumes while the rest were lost, the collection covers a wide range of mathematical topics, including geometry recreational mathematics , constructing a cube having twice the volume of a given cube, polygons and polyhedra. In geometry , there are several theorems that are known by the generic name '''Pappus's Theorem''', attributing them to Pappus of Alexandria . They include: Pappus's centroid theorem the Pappus chain Pappus's harmonic theorem , and Pappus's hexagon theorem Reference ''Pappus of Alexandria'' Encyclop�dia Britannica Category:Ancient mathematicians Category:Ancient Greek mathematicians Category:Egyptian mathematicians ... sv:Pappos This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article Pappus_of_Alexandria.

42. Serafina CuomoPappus Of Alexandria And The Mathematics Of Late AntiquityThis Boo ·New topic no other monograph on pappus of alexandria ·New methodology -relates mathematical practices to other cultural practices in Late antiquity 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

43. Pappus Of Alexandria Biography .ms pappus of alexandria. Related Links. Clement of Alexandria quotes Pappus ofAlexandria is one of the most important mathematicians of ancient Greek time http://pappus.biography.ms/

Pappus of Alexandria Related Links Clement of Alexandria quotes Rodan of Alexandria quotes Pappus of Alexandria is one of the most important mathematicians of ancient Greek time, known for his work Synagoge He was born at Alexandria of Egypt. Although very little is known about his life, the written records suggest he was a teacher. His principal work is known as the Synagoge (c. 340). Comprising of at least eight volumes while the rest were lost, the collection covers a wide range of mathematical topics, including geometry recreational mathematics , constructing a cube having twice the volume of a given cube, polygons and polyhedra. In geometry , there are several theorems that are known by the generic name Pappus's Theorem , attributing them to Pappus of Alexandria . They include: Pappus's centroid theorem the Pappus chain , Pappus's harmonic theorem , and Pappus's hexagon theorem . Reference Pappus of Alexandria Encyclopædia Britannica A B C ... Home page

44. History Of Mathematics: Greece 350); pappus of alexandria (c. 320); Serenus of Antinopolis (c. 350); Theon ofAlexandria (c. 390); Synesius of Cyrene, Bishop of Ptolemais (c. 370c. 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)

45. History Of Mathematics: Chronology Of Mathematicians pappus of alexandria (fl. c. 300c. 350) *SB *MT; Serenus of Antinopolis (c.350); Pandrosion (c. 350); Theon of Alexandria (c. 390); Martianus Capella (c. http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html

Chronological List of Mathematicians Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan Table of Contents 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below List of Mathematicians 1700 B.C.E. Ahmes (c. 1650 B.C.E.) *MT 700 B.C.E. Baudhayana (c. 700) 600 B.C.E. Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) 500 B.C.E. Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB

46. Pappus Of Alexandria - Linix Encyclopedia pappus of alexandria is one of the most important mathematicians of ancient Greektime, known for his work Synagoge (“Collection”). http://web.linix.ca/pedia/index.php/Pappus

Pappus of Alexandria Pappus of Alexandria is one of the most important mathematicians of ancient Greek time, known for his work Synagoge He was born at Alexandria in Egypt . Although very little is known about his life, the written records suggest he was a teacher. His principal work is known as the Synagoge (c. ). Comprising of at least eight volumes while the rest were lost, the collection covers a wide range of mathematical topics, including geometry recreational mathematics , constructing a cube having twice the volume of a given cube, polygons and polyhedra. In geometry , there are several theorems that are known by the generic name Pappus's Theorem , attributing them to Pappus of Alexandria . They include: Pappus's centroid theorem the Pappus chain Pappus's harmonic theorem , and Pappus's hexagon theorem Missing image David_face.png This biographical article about a mathematician is a stub . You can help Wikipedia by expanding it edit Reference Pappus of Alexandria Encyclopædia Britannica de:Pappos fr:Pappus pl:Pappus z Aleksandrii ... sv:Pappos Retrieved from " http://web.linix.ca/pedia/index.php/Pappus_of_Alexandria

47. PSIgate - Physical Sciences Information Gateway Search/Browse Results pappus of alexandria Born about 290 in Alexandria, Egypt Died about 350Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue.pl?term1=Egypt&limit=

48. Euclid pappus of alexandria (fl. c. 320 AD) in his Collection states that Apollonius ofPerga (262190 BC) studied for a long while in that city under the pupils http://www.crystalinks.com/euclid.html

EUCLID (325 BC- 265 BC) Euclid of Alexandria is the most prominent mathematician of antiquity best known for his treatise on mathematics The Elements . The long lasting nature of The Elements must make Euclid the leading mathematics teacher of all time. For his work in the field, he is known as the father of geometry and is considered one of the great Greek mathematicians. Very little is known about the life of Euclid. Both the dates and places of his birth and death are unknown. It is believed that he was educated at Plato's academy in Athens and stayed there until he was invited by Ptolemy I to teach at his newly founded university in Alexandria. There, Euclid founded the school of mathematics and remained there for the rest of his life. As a teacher, he was probably one of the mentors to Archimedes Little is known of Euclid's life except that he taught at Alexandria in Egypt. According to Proclus (410-485 A.D.) in his Commentary on the First Book of Euclid's Elements , Euclid came after the first pupils of Plato and lived during the reign of Ptolemy I (306-283 B.C.). Pappus of Alexandria (fl. c. 320 A.D.) in his Collection states that Apollonius of Perga (262-190 B.C.) studied for a long while in that city under the pupils of Euclid. Thus it is generally accepted that Euclid flourished at Alexandria in around 300 B.C. and established a mathematical school there. Proclus also says that Euclid "belonged to the persuasion of Plato,'' but there exists some doubt as to whether Euclid could truly be called a Platonist. During the middle ages, Euclid was often identified as Euclid of Megara, due to a confusion with the Socratic philosopher of around 400 B.C.

49. ©¬´¶´µ¡£Pappus Of Alexandria¡¤ The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://www.edp.ust.hk/math/history/3/3_88.htm

Pappus of Alexandria ¢w ¦~«e«á¡A¥j§Æ¾ ¥@¬ö¡A§Æ¾¼Æ¾Ç¤w¦¨±j©¸¤§¥½¡C¡y¶Àª÷®É¥N¡z¡£ 300 B.C ¢w 200 B.C ¡¤´X¦ó¥¨¦K¤w³u¥h¤­¡B¤»¦Ê¦~¡A¤½¤¸«e1 Menelaus of Alexandria «e«á¡¤¡B¦«°Ç±K¡£ Claudius Ptolemy ¡A¬ù¤½¤¸ ¡¤¦b¤T¨¤¾Ç¤è­±¦³©Ò«Ø¾ð¥~¡A²z½×´X¦óªº¬¡¤O³vº¥­äµä¡C¦¹®É¨È¾ú¤s¤jªº©¬ªi´µ¥¿§V¤OÁ`µ²¼Æ¦Ê¦~¨Ó«e¤H©Ü¯ð±Ù´Æ©Ò¨ú±oªº¦¨ªG¡A¥H§K¦~¤[¥¢¶Ç¡C ©¬´¶´µµ¹¼Ú´X¨½±o¡m´X¦ó­ì¥»¡n©M¡m¼Æ¾Ú¡n¥H¤Î¦«°Ç±Kªº¡m¤j¶×½s¡n©M¡m²y·¥¥­­±§ë¼v¡n§@¹LµùÄÀ¡C¼g¦¨¤K¨÷ªº¡m¼Æ¾Ç¶×½s¡n¡£ Mathematical Collection

50. Euclid Geometry Elements Euclid's Century Alexandria ? ?d x50;róklo and pappus of alexandriapappus of alexandria is one of EuclidEuclid of Alexandria ( Greek Eukleides (circa 365 275 BC) was a http://www.economicexpert.com/a/Euclid.htm

var GLB_RIS='http://www.economicexpert.com';var GLB_RIR='/cincshared/external';var GLB_MMS='http://www.economicexpert.com';var GLB_MIR='/site/image';GLB_MML='/'; document.write(''); document.write(''); document.write(''); document.write(''); A1('s',':','html'); Non User A B C ... Home First Prev [ 1 Next Last Euclid of Alexandria Greek Eukleides ) (circa BC) was a Greek mathematician , now known as "the father of geometry ". His most famous work is the Elements , widely considered to be history's most successful textbook. Within it, the properties of geometrical objects and integer s are deduced from a small set of axiom s, thereby anticipating (and partly inspiring) the axiomatic method of modern mathematics . Although many of the results in the Elements originated with earlier mathematicians, one of Euclid's major accomplishments was to present them in a single, logically coherent framework. He also provided some missing proof s. The text also includes sections on number theory and three-dimensional geometry. He is called the father of geometry. The geometrical system described in the Elements was long known simply as "the" geometry. Today, however, it is often referred to as

51. Virtual Matenadaran - The Heritage - HISTORICAL GEOGRAPHY In Details The work of pappus of alexandria has not reached us, it is therefore difficultto answer the vexed question if the author of the ‘Ashxarhatsoyts’ had http://www.matenadaran.am/en/heritage/geography/

52. THE STORY OF APOLLONIUS OF PERGA. Essay Sample. Free Term Papers For College Stu were passed on by later writers, especially pappus of alexandria. As a youthApollonius studied in Alexandria ( under the pupils of Euclid, according to http://www.essaysample.com/essay/003224.html

ESSAY SAMPLE ON "THE STORY OF APOLLONIUS OF PERGA" Apollonius of Perga Apollonius was a great mathematician, known by his contempories as " The Great Geometer, " whose treatise Conics is one of the greatest scientific works from the ancient world. Most of his other treatise were lost, although their titles and a general indication of their contents were passed on by later writers, especially Pappus of Alexandria. As a youth Apollonius studied in Alexandria ( under the pupils of Euclid, according to Pappus ) and subsequently taught at the university there. He visited Pergamum, capital of a Hellenistic kingdom in western Anatolia, where a university and library similar to those in Alexandria had recently been built. While at Pergamum he met Eudemus and Attaluus, and he wrote the first edition of Conics. He addressed the prefaces of the first three books of the final edition to Eudemus and the remaining volumes to Attalus, whom some scholars identify as King Attalus I of Pergamum. It is clear from Apollonius' allusion to Euclid, Conon of Samos, and Nicoteles of Cyrene

53. Archimedean Solids (Pappus) Below is a translation from the fifth book of the Collection of the Greekmathematician pappus of alexandria, who lived in the beginning of the fourth http://www.mcs.drexel.edu/~crorres/Archimedes/Solids/Pappus.html

54. University Of Pittsburgh: Department Of Mathematics later by pappus of alexandria in the preface to his fifth book. The argumentin Pappus is incomplete. In fact it involves nothing more than a comparison http://www.math.pitt.edu/articles/pappus.html

Table of Contents Fall 2001 Cannonballs and Honeycomb: Pappus R. Weaire was writing a book on sphere packings when I finished the proof of the Kepler conjecture, and we began to correspond. Under his influence, I turned to the planar version of the foam problem. This problem goes back over 2000 years. What is the most efficient partition of the plane into equal areas? The honeycomb conjecture asserts that the answer is the regular hexagonal honeycomb. Pappus Around 36 BC, the Roman scholar Marcus Terentius Varro wrote a book on agriculture in which he discusses the hexagonal form of the bee's honeycomb. There were two competing theories of the hexagonal structure. One theory held that the hexagons better accommodated the bee's six feet. The other theory, supported by the mathematicians of the day, was that the structure was explained by the isoperimetric property of the hexagonal honeycomb. Varro writes, ``Does not the chamber in the comb have six angles

55. PUBLICATIONS pappus of alexandria and the Mathematics of Late Antiquity (Cambridge UniversityPress, 2000). Also to appear in a modern Greek translation (published by http://www3.imperial.ac.uk/portal/page?_pageid=61,439319&_dad=portallive&_schema

56. Pappus pappus of alexandria (Egypt) flourished circa 300 AD 1. Given the point A = (2,6, 1/2) in the real projective plane a. Find other coordinates for this http://www.york.cuny.edu/~malk/mycourses/math244/pappus.html

Pappus' Theorem (Geometric Structures) prepared by: Joseph Malkevitch Department of Mathematics and Computing York College (CUNY) Jamaica, New York 11451 Closely associated with Desargues Theorem is the wonderful theorem of Pappus. Pappus' Theorem (projective plane version) states that given the three points A, B, and C on line l and A', B', and C' on line m that if segments AB' and A'B meet at R, BC' and B'C meet at P, and CA' and C'A meet at Q then P, Q, and R are collinear. These two theorems were shown to have an unexpected connection with algebra. It turns out that one can introduce a coordinate system for a geometry where the coordinates are drawn from a field provided that Pappus' Theorem holds. One can introduce a system of coordinates where all the requirements of a field except commutativity of multiplication holds provided that Desargues Theorem holds. An algebraic system of this kind is known as a division ring. It turns out that that due to a theorem of Wedderburn, every finite division ring is a field. Thus, in a finite projective plane where Desargues Theorem holds, then Pappus' Theorem holds. Finite non-desarguian planes can not be coordinatized with numbers from a field. Desargues was French and lived from 1591-1661. Pappus of Alexandria (Egypt) flourished circa 300 A.D.

57. Annotated Bibliography On Analysis -- §2: Ancient Conceptions Of Analysis: A Su 2000, pappus of alexandria and the Mathematics of Late Antiquity, Pappus ofAlexandria, PAC, Pappi Alexandrini Collectionis quae supersunt, 3 vols., http://plato.stanford.edu/entries/analysis/bib2.html

Stanford Encyclopedia of Philosophy Supplement to Analysis Citation Information Annotated Bibliography on Analysis This bibliography is intended as a reference guide to the key works that deal, in whole or in part, with analysis and related topics such as analyticity and definition. Cross-references are by name(s) of author(s) or editor(s) and either year of publication or abbreviation as indicated immediately after their name(s). Notes in square brackets at the end of an entry indicate the relevant part(s) of the work and/or its significance to the topic of analysis. This section of the bibliography corresponds to Section 2 of the main entry, and is divided into subsections which correspond to the subsections of the supplementary document on Ancient Conceptions of Analysis . Where works include important material under more than one heading, they are cited under each heading; but duplication has been kept to a minimum. Cross-references to other (sub)sections are provided in curly brackets. 2.1 General

58. Alexander Raymond Jones pappus of alexandria. Book 7 of the Collection. Edited with translation andcom­mentary by Alexander Jones. 2 vols. Berlin, etc. (Springer Verlag), 1986. http://www.chass.utoronto.ca/~ajones/publications/

Alexander Jones Publications Books and Monographs (sole or joint author): (with J. L. Berggren) Ptolemy's Geography: The Theoretical Chapters. Princeton University Press (2000). 232 pp. Astronomical Papyri from Oxyrhynchus . Philadelphia (1999). Memoirs of the American Philosophical Society, vol. 233. 2 vols. in 1, xii + 368 pp., 471 pp. (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. Ptolemy¹s first commentator. Philadelphia, 1990. Transactions of the American Philosophical Society, 80.7. 62 pp. An Eleventh-century manual of Arabo-Byzantine astronomy. Amsterdam (Gieben), 1987. Corpus des astronomes byzantins, 3. 199 pp. Pappus of Alexandria. Book 7 of the Collection. Refereed Journal Articles: A route to the ancient discovery of nonuniform planetary motion. Journal for the History of Astronomy (forthcoming). 15 typescript pp. On Babylonian Normal Star Observations. Archive for History of Exact Sciences A Posy of Almagest Scholia.

59. The Beginnings Of Trigonometry pappus of alexandria, who was a teacher of mathema tics in the fourth century, Both Pappus and Proclus call him Menelaus of Alexandria (Heath 260), http://www.math.rutgers.edu/~cherlin/History/Papers2000/hunt.html

The Beginnings of Trigonometry Joseph Hunt History of Mathematics Rutgers, Spring 2000 The ancient Greeks transformed trigonometry into an ordered science. Astronomy was the driving force behind advancements in trigonometry. Most of the early advancements in trigonometry were in spherical trigonometry mostly because of its application to astronomy. The three main figures that we know of in the development of Greek trigonometry are Hipparchus, Menelaus, and Ptolomy. There were likely other contributors but over time their works have been loss and their names have been forgotten. "Even if he did not invent it, Hipparchus is the first person of whose systematic use of trigonometry we have documentary evidence." (Heath 257) Some historians go as far as to say that he invented trigonometry. Not much is known about the life of Hipp archus. It is believed that he was born at Nicaea in Bithynia. (Sarton 285) The town of Nicaea is now called Iznik and is situated in northwestern Turkey. Founded in the 4th century BC, Nicaea lies on the eastern shore of Lake Iznik. He is one of the g reatest astronomers of all time. We know from Ptolemy's references that he made astronomical observations from 161 to 127 BC. (Sarton 285) Unfortunately, nearly all of his works are lost, and all that remains is his commentary on the Phainomena of Eudoxos of Cnidos, and a commentary on an astronomical poem by Aratos of Soloi. (Sarton 285) Most of what we know about Hipparchus comes from Ptolemy's

60. Great Minds In Mathematics (Part I Of II) pappus of alexandria, hurry up, unfortunately the great age of Greek mathematicsis drawing its last breath. microscopic fractal, Fitzgerald made me famous http://www.mcs.csuhayward.edu/~malek/Mathlinks/Minds/Minds1.html

Are Mathe maticians Alien to You? The only scary part of this site is the ufo sight. Abstract Entities are Living Creatures A civilization is like a great river flowing through time, nourished and strengthened by many rich tributaries from other cultures. Let us project our imagination backward to a few thousand years. We are invited by the mathematics society of Greece, the birthplace of many mythical gods. We ask them a simple question: "Who created mathematics?" They respond "Mathematics begins with this half-mythical figure of Pythagoras. Science Begins with him. Western philosophy begins with him. He is even the first to use the word mathematike . Before him there was only mathemata, which meant knowledge or learning in general." The question is answered; we may begin our real journey in this never ending rational universe. The only rule shall be the anonymity, no last name will be mentioned, except Pappus of Alexandria. There is no royal road to geometry. The only way to a knowledge of geometry is a set of 13 books, 465 propositions, and 5 postulates. A point is that which has no part. A line is breathless length. A straight line is a line which lies evenly with the point on itself. A unit is that by virtue of which each of the things that exist is called one. A number is a multitude composed of units. Give this person a penny, since he must make a profit out of what he learns.

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