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

Biography of Pappus of Alexandria 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. Selected Biographical References 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. Heath, Thomas L. A History of Greek Mathematics , 2 vols. Oxford: Oxford University Press, Clarendon Press, 1921. 1:355-439.

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

document.write(""); 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. 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

Home Catalogue Related Areas: Philosophy Classical Studies Cambridge Classical Studies New titles Email For updates on new titles in: Philosophy Classical Studies Pappus of Alexandria and the Mathematics of Late Antiquity Serafina Cuomo 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. Sample chapter Download sample chapter Contents 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

Pappus of Alexandria Born: about 290 in Alexandria, Egypt Died: about 350 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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

Pappus of Alexandria Born: about 290 in Alexandria, Egypt Died: about 350 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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

Branch of Science Mathematicians Nationality Greek Pappus of Alexandria (ca. 260 BC-unknown) 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 Additional biographies: MacTutor (St. Andrews) Author: Eric W. Weisstein

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

Branch of Science Mathematicians Nationality Greek Pappus of Alexandria (ca. 260 BC-unknown) 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 Additional biographies: MacTutor (St. Andrews) Author: Eric W. Weisstein

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

Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ... PHYSICISTS MATHEMATICIAN, GEOGRAPHER, ENGINEER PAPPUS OF ALEXANDRIA (fl. c. 300 century AD AD) Life Pappus of Alexandria was a mathematician and the author of commentaries on Euclid and Ptolemy and of a work on universal geography, much of which is now lost. He lived in Alexandria during the reign of Diocletian, and his writings inspired much later work. Work These were: "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. Book 3 contains problems in plane and solid geometry, including the famous "Delian problem" of finding two mean proportionals between two given lines; it studies the 10 kinds of means, giving examples of each, and develops the theory of regular solids. Book 4 contains, besides studies of various curves, an account of the three classical problems (the squaring of the circle, the duplication of the cube, and the trisection of an angle). It also contains a generalisation of the theorem of Pythagoras on right-angled triangles.

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

Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ARTISTS ASTRONOMERS ... ZENO OF ELEA Read about the life and Work of Ancient Greek Scientists. Choose the desired category from the list on the left and the desired scientist from the list on the right Based on the Greek book: K. Georgakopoulos, "Ancient Greek Scientists", Athens, 1995 Contact the Technology Museum

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

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

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

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

BC Zeno B.C Peloponnesian War (431404 B.C. Hippocrates B.C. Eudoxus B.C. Aristotle B.C. Euclid (ca. 365 B.C. Publication of the Elements B.C. Archimedes B.C. A.D. Beginning of the Roman Empire ( A.D. Ptolemy, Claudius (ca. 100ca. 170) Pappus of Alexandria (fl. 300350) A.D. Hindu number system A.D.

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

[HM] Pappus of Alexandria by Roger Cooke reply to this message post a message on a new topic Back to messages on this topic Back to Historia-Matematica Discussion Group Subject: [HM] Pappus of Alexandria Author: ckrglj@adelphia.net Date: The Math Forum

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

Next: About this document March 3, 1997 Pappus of Alexandria (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

You are in: Virtual Public Library Hall of Education Mathematics Pappus of Alexandria Pappus of Alexandria Start your search on Pappus of Alexandria Other educational search engines: Ask Jeeves for Kids Britannica.com CyberSleuth Kids Education World ... Yahooligans 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. Virtualology TM Search: About Us e-mail us Editing Sponsor Editing Sponsors review and select all student work for publishing. To learn more about our editing sponsor program click here. Published Students Primary Secondary College Graduate ... Technical

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/

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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

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

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

Pappus of Alexandria (c. 300-c. 350) Greek mathematician, astronomer, and geographer whose book Synagogue/Collection deals with nearly the whole body of Greek geometry, mostly in the form of commentaries on texts the reader is assumed to have to hand. Nothing is known of his life and many of his writings survive only in translations from the original Greek. Without the Collection, much of the geometrical achievement of his predecessors would have been lost for ever. It reproduces known solutions to problems in geometry, and also frequently gives Pappus' own solutions, or improvements and extensions to existing solutions. For example, he handles the problem of inscribing five regular solids in a sphere in a way quite different from Euclid. Among Pappus' other works are a commentary on Ptolemy's Almagest and a commentary on Euclid's Elements. Pappus is also believed to be the author of the Description of the World, a geographical treatise that has come down to us only in Armenian and bearing the name of Moses of Khoren as its author

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

'For his own originality, even if his chief importance is as the preserver of Greek scientific knowledge, Pappus stands (with Diophantus) as the last of the long and distinguished line of Alexandrian mathematicians' (Hutchinson Dictionary of Scientific Biography). '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). See DSB X pp 293-304 for an extensive discussion of the Collection.

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