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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

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1. Biography Of Pappus Of Alexandria
   Wrote treatise, the Mathematical Collection, as a guide to Greek geometry, discusses theorems and constructions of more than thirty different mathematicians of antiquity.  
   http://www.lib.virginia.edu/science/parshall/pappus.html
   
   Extractions: Pappus of Alexandria flourished in the first half of the fourth century. He wrote his treatise, the Mathematical Collection , as a guide to Greek geometry. Here Pappus discusses theorems and constructions of more than thirty different mathematicians of antiquity, including Euclid , Archimedes and Ptolemy. Sometimes, as in the case of the problem of inscribing the five regular solids in a given sphere, Pappus provides alternatives to the proofs given in earlier works. In other cases, he generalizes theorems of earlier writers, as he does with the Pythagorean Theorem found in Euclid's Elements MAIN DOCUMENT CONTENTS FIRST MENTION To return to place in document from which you came, click on your browser's BACK BUTTON. Gillispie, Charles C. ed. The Dictionary of Scientific Biography , 16 vols. 2 supps. New York: Charles Scribner's Sons, 1970-1990. S.v. "Pappus of Alexandria" by Ivor Bulmer-Thomas.

2. Encyclopædia Britannica
   Encyclopædia Britannica. pappus of alexandria. Encyclopædia Britannica Article  
   http://www.britannica.com/eb/article?eu=59809

3. PAPPUS OF ALEXANDRIA
   of the opposition remained no less hostile than before, and in March 1837 the governor was authorized to reject the demand for constitutional reform and to apply public funds in his control to the purposes of government  
   http://18.1911encyclopedia.org/P/PA/PAPPUS_OF_ALEXANDRIA.htm
   
   Extractions: of the opposition remained no less hostile than before, and in March 1837 the governor was authorized to reject the demand for constitutional reform and to apply public funds in his control to the purposes of government. In June a warning proclamation by the governor was answered by a series of violent speeches by Papineau, who in August was deprived of his commission in the militia. Canada than the fiery eloquence and dubious methods of a leader who plunged his followers into the throes of war, and deserted them at the supreme moment. From 1839 till 1847 Papineau lived in Paris. In the latter year an amnesty was granted to those who had participated in the rebellion in Canada; and, although in June 1838 Lord Durham had issued a proclamation threatening Papineau with death if he returned to Canada, he was now admitted to the benefit of the amnesty. On his return to Canada, when the two provinces were now united, he became a member of the lower house and continued to take part in public life, demanding “the independence of Canada, for the Canadians need never expect justice from England, and to submit to her would be an eternal disgrace.” He unsuccessfully agitated for the re-division of upper and lower Canada, and in 1854 retired into private life. He died at Montebello, in the province of Quebec, on the 24th of September 1871. See L. 0. David, Les Deux Pap-ineau; Fennings Taylor, Louis

4. Pappus Of Alexandria And The Mathematics Of Late Antiquity - Cambridge Universit
   Why pay retail when you can save at Half? Always find low prices on books by Serafina Cuomo and a great selection of new used books.  
   http://books.cambridge.org/0521642116.htm
   
   Extractions: Philosophy Classical Studies In stock 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. An important first chapter looks at the mathematicians of the period and how mathematics was perceived by people at large. The central chapters of the book analyse sections of the Collection, identifying features typical of Pappus’s mathematical practice. The final chapter draws together the various threads and presents a fuller description of Pappus’s mathematical ‘agenda’. 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. Download sample chapter Introduction; 1. The outside world; 2. Bees and philosophers; 3. Inclined planes and architects; 4. Altars and strange curves; 5. The inside story.

5. Pappus
   pappus of alexandria. pappus of alexandria is the last of the great Greek geometersand one of his theorems is cited as the basis of modern projective geometry.  
   http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Pappus.html
   
   Extractions: Pappus of Alexandria is the last of the great Greek geometers and one of his theorems is cited as the basis of modern projective geometry Our knowledge of Pappus's life is almost nil. There appear in the literature one or two references to dates for Pappus's life which must be wrong. There is a reference in the Suda Lexicon (a work of a 10th century Greek lexicographer) which states that Pappus was a contemporary of Theon of Alexandria (see for example [1]):- Pappus, of Alexandria, philosopher, lived about the time of the Emperor Theodosius the Elder AD - AD , when Theon the Philosopher, who wrote the Canon of Ptolemy , also flourished. This would seem convincing but there is a chronological table by Theon of Alexandria which, when being copied, has had inserted next to the name of Diocletian (who ruled 284 AD - 305 AD) "at that time wrote Pappus". Similar insertions give the dates for Ptolemy Hipparchus and other mathematical astronomers.

6. Pappus
   Biography of Pappus (290350) pappus of alexandria. Born about 290 in Alexandria, Egypt  
   http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pappus.html
   
   Extractions: Pappus of Alexandria is the last of the great Greek geometers and one of his theorems is cited as the basis of modern projective geometry Our knowledge of Pappus's life is almost nil. There appear in the literature one or two references to dates for Pappus's life which must be wrong. There is a reference in the Suda Lexicon (a work of a 10th century Greek lexicographer) which states that Pappus was a contemporary of Theon of Alexandria (see for example [1]):- Pappus, of Alexandria, philosopher, lived about the time of the Emperor Theodosius the Elder AD - AD , when Theon the Philosopher, who wrote the Canon of Ptolemy , also flourished. This would seem convincing but there is a chronological table by Theon of Alexandria which, when being copied, has had inserted next to the name of Diocletian (who ruled 284 AD - 305 AD) "at that time wrote Pappus". Similar insertions give the dates for Ptolemy Hipparchus and other mathematical astronomers.

7. Pappus Of Alexandria (ca. 260 BC-unknown) -- From Eric Weisstein's World Of Scie
   Branch of Science " Mathematicians Nationality " Greek pappus of alexandria (ca. 260 BCunknown) Greek mathematician whose contribution to mathematics was primarily as an encyclopedist. Pappus summarized all of Greek mathematics in the eight  
   http://www.treasure-troves.com/bios/Pappus.html
   
   Extractions: Greek mathematician whose contribution to mathematics was primarily as an encyclopedist. Pappus summarized all of Greek mathematics in the eight volume Mathematical Collection or simply The Collection (ca. 340 BC). In it, he states Pappus's theorem which is also known as the "Guldinus theorem" since Guldin independently rediscovered it. Pappus also derived the theorem that the centers of the circles in a Pappus chain of an arbelos lie on an ellipse

8. Pappus Of Alexandria (ca. 260 BC-unknown) -- From Eric Weisstein's World Of Scie
   pappus of alexandria (ca. 260 BCunknown), Greek mathematician whosecontribution to mathematics was primarily as an encyclopedist.  
   http://scienceworld.wolfram.com/biography/Pappus.html
   
   Extractions: Greek mathematician whose contribution to mathematics was primarily as an encyclopedist. Pappus summarized all of Greek mathematics in the eight volume Mathematical Collection or simply The Collection (ca. 340 BC). In it, he states Pappus's theorem which is also known as the "Guldinus theorem" since Guldin independently rediscovered it. Pappus also derived the theorem that the centers of the circles in a Pappus chain of an arbelos lie on an ellipse

9. TMTh:: PAPPUS OF ALEXANDRIA
   MATHEMATICIAN, GEOGRAPHER, ENGINEER pappus of alexandria (fl. c. 300century AD AD) Life pappus of alexandria was a mathematician  
   http://www.tmth.edu.gr/en/aet/5/74.html
   
   Extractions: "Mathematical Collection": A vast work in 8 books, this was the last great treatise on mathematics of the Alexandrian age. All but the first and part of the second book have survived. An invaluable record of the mathematical accomplishments of the ancient Greek world, it contains a systematic account of the principal theorems in arithmetic, geometry, astronomy and mechanics, with commentaries, improvements and alterations, as well as original material.

10. TMTh:: Ancient Greek Technologists
    MARINOS OF TYRE MENAECHMCUS OF THRACE MENELAUS OF ALEXANDRIA METON OF ATHENS NICOMEDESOF ALEXANDRIA OENOPIDES OF CHIOS pappus of alexandria PARMENIO OF  
    http://www.tmth.edu.gr/en/aet/1.html

11. Pappus Of Alexandria
    pappus of alexandria (ca. 290350). Pappus was what we now call a commentator. Though he was the leading Greek mathematician of  
    http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib
    
    Extractions: Pappus of Alexandria (ca. 290350) Pappus was what we now call a "commentator." Though he was the leading Greek mathematician of his time, the original mathematics he created was very small in both stature and quantity, especially in comparison to the great classical mathematicians such as Euclid Archimedes , and Apollonius. Rather, Pappus' fame lies in his large work called The Collection in which he gathered an eclectic assembly of older works (some now lost) by some of the aforementioned leading authors. In this compendium, he added a considerable number his own explanations and amplifications. The Collection contained eight books, or chapters, each of which could stand as a work by itself. Some of the topics with which Pappus dealt were conics, plane geometry, mechanics, and, of special interest to students of calculus , straight lines tangent to certain curves. In the book dealing with mechanics, Pappus was the first to define the concept of center of gravity. At the end of Book 7, "The Treasury of Analysis" of The Collection

12. [HM] Pappus Of Alexandria
    HM pappus of alexandria. post a message on this topic  
    http://mathforum.com/epigone/historia_matematica/smouphayskar

13. 500 BC - 1000 AD
    0, AD, Beginning of the Roman Empire (AD 27). Ptolemy, Claudius, (ca. 100ca. 170),pappus of alexandria, (fl. 300350), AD, 5, 0, 0, Hindu number system (650). AD,9, 9, 9,  
    http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

14. [HM] Pappus Of Alexandria By Roger Cooke
    Subject HM pappus of alexandria Author Roger Cooke ckrglj@adelphia.net Date Sat, 8 Dec 2001 200746 0500  
    http://mathforum.com/epigone/historia_matematica/smouphayskar/LPBBJAHPNJPGKPBLMG

15. Untitled
    next Next About this document March 3, 1997. pappus of alexandria(fl. c. 300c. 350). Very little is known of Pappus' life. Moreover  
    http://www.math.tamu.edu/~don.allen/history/pappus/pappus.html
    
    Extractions: (fl. c. 300-c. 350) Very little is known of Pappus' life. Moreover, very little is known of what his actual contributions were. We do know that he recorded in one of his commentaries on the Almagest that he observed a solar eclipse on October 18, 320. He is regarded, though, as the last great mathematician of the Helenistic Age. He wrote The Collection or The Synagogue , a treatise on geometry which we discuss here and several commentaries, now all lost except for some fragments in Greek or Arabic. One of the commentaries, we note from Proclus, was on The Elements Note that higher geometry was in complete abeyance until Pappus. From his descriptions, we may surmise that either the classical works were lost or forgotten. His task is to `restore' geometry to a place of significance. Basically, The Collection or The Synagogue is a treatise on Geometry, which included everything of interest to him. Whatever explanations or supplements to the works of the great geometers seemed to him necessary, he formulated them as lemmas. Features: It is very broad, designed to revive classical geometry.

16. Pappus Of Alexandria
    Click here to visit our sponsor pappus of alexandria. 285 350 ?Start your search on pappus of alexandria. Other educational  
    http://www.virtualology.com/virtualpubliclibrary/hallofeducation/Mathematics/Pap
    
    Extractions: Unauthorized Site: This site and its contents are not affiliated, connected, associated with or authorized by the individual, family, friends, or trademarked entities utilizing any part or the subject’s entire name. Any official or affiliated sites that are related to this subject will be hyper linked below upon submission and Virtualology's review. 2000 by Virtualology TM . All rights reserved.

17. Mathematics
    Johnvon Neumann. Nicomachus. Nicomedes. Emmy Noether. pappus of alexandria. GiuseppePeano. Henri Poincare. Claudius Ptolemy. Srinivasa Ramanujan. Pythagoras of Samos.  
    http://www.virtualology.com/virtualpubliclibrary/hallofeducation/Mathematics/

18. ©¬´¶´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
    
    Extractions: ¢w ¦~«e«á¡A¥j§Æþ ¥@¬ö¡A§Æþ¼Æ¾Ç¤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

19. Pappus Of Alexandria
    pappus of alexandria (c. 300c. 350). Greek mathematician, astronomer,and geographer whose book Synagogue/Collection deals with  
    http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/P/Pappus/1.html

20. PAPPUS Of Alexandria, Mathematicae Collectiones A Federico Commandino Urbinate I
    WP Watson Antiquarian Books. pappus of alexandria Mathematicae Collectiones a FedericoCommandino Urbinate in latinum conversae, et commentariis illustratae.  
    http://www.polybiblio.com/watbooks/2361.html
    
    Extractions: 'He formally defined analysis and synthesis as they are still commonly applied in the solution of geometrical riders. Pappus stumbled upon the projective invariance of the cross-ratio of four collinear points and other related results reclaimed by modern projective geometry; and he gave the first recorded statement of the focus-directrix property of the three conic sections. He formulated the "centrobaric" theorems, frequently attributed to Paul Guldin (1577-1643), for calculating the volume and surface generated by a plane figure rotating about an axis in its own plane. He discussed theoretical mechanics, the equilibrium of a heavy body on an inclined plane, the use of the mechanical powers, and the construction of mechanical toys' (Biographical dictionary of scientists).

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