1. AUTOLYCUS OF PITANE autolycus of pitane http://53.1911encyclopedia.org/A/AU/AUTOLYCUS_OF_PITANE.htm

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2. TMTh:: Ancient Greek Technologists APOLLONIUS OF PERGA ARATUS OF SOLI ARCHIMEDES OF SYRACUSE ARCHYTAS OF TARENTUM ARISTAEUSTHE ELDER ARISTOTLE OF STAGIRA autolycus of pitane BOLOS (DEMOCRITUS 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

3. Autolycus autolycus of pitane. We know some information about the life of Autolycusof Pitane, but not really enough to date him accurately. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Autolycus.html

Autolycus of Pitane Born: about 360 BC in Pitane, Aeolis, Asia Minor (now Turkey) Died: about 290 BC Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index We know some information about the life of Autolycus of Pitane, but not really enough to date him accurately. He was a teacher of Arcesilaus who was born in 315 BC so Autolycus must have lived until after 300 BC. It is generally assumed that he was older than Euclid . As Heath writes in [3]:- That he wrote earlier than Euclid is clear from the fact that Euclid ... makes use of theorems appearing in Autolycus, though, as usual in such cases, giving no indication of their source. However, before we accept Heath 's 'clear' argument, it is reasonable to put a counter argument from Neugebauer The generally accepted argument in favour of Autolycus's priority is singularly naive. Theorem of Euclid 's Phaenomena consists of four propositions with proofs for only three of them while the missing one is replaced by the remark "that this is the case has been shown elsewhere"; indeed theorem and proof are found as Theorem in Autolycus's 'Rotating Sphere'. That a remark of this kind should be genuine in any Greek mathematical treatise, Euclidean or not, seems to me utterly implausible; I would assume the obvious, i.e. that a scholion replaced, perhaps in a damaged copy, the first of four proofs by a simple reference to generally known theorems. In fact I see no reason why

4. Greek Mathematics Index Anaxagoras Anthemius Antiphon Apollonius Archimedes Archytas Aristaeus AristarchusAristotle autolycus of pitane Bryson Callippus Chrysippus Cleomedes Conon http://www-gap.dcs.st-and.ac.uk/~history/Indexes/Greeks.html

History Topics: Index of Ancient Greek mathematics Articles about Greek mathematics. Squaring the circle Doubling the cube Trisecting an angle Greek Astronomy ... Greek number systems Various lists of Greek mathematicians. Full list Mathematicans/Philosophers Mathematicians/Astronomers Mathematicians/Astronomers/Philosophers ... Later circle squarers Click on a name below to go to that biography. Full List of Greek Mathematicians in our archive Anaxagoras Anthemius Antiphon Apollonius ... Zenodorus Greek Mathematicans/Philosophers Anaxagoras Antiphon Archytas Aristotle ... Zeno of Elea Greek Mathematicians/Astronomers Apollonius Archimedes Aristarchus Aristotle ... Theon of Smyrna Greek Mathematicians/Astronomers/Philosophers Aristotle Cleomedes Democritus Eudoxus ... Thales Greek Circle squarers Anaxagoras Antiphon Apollonius Archimedes ... Bryson Carpus Dinostratus Hippias Hippocrates Nicomedes ... Sporus Later Circle squarers Al-Haytham Johann Bernoulli Cusa James Gregory ... Search Form JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Indexes/Greeks.html

5. TMTh:: AUTOLYCUS OF PITANE Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ARTISTS ASTRONOMERS BIOLOGISTS BOTANISTS CHEMISTS ENGINEERS GEOGRAPHERS INVENTORS MATHEMATICIANS METEOROLOGISTS PHARMACOLOGISTS PHYSICIANS PHYSICISTS MATHEMATICIAN, ASTRONOMER, GEOGRAPHER http://www.tmth.edu.gr/en/aet/2/19.html

Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ... PHYSICISTS MATHEMATICIAN, ASTRONOMER, GEOGRAPHER AUTOLYCUS OF PITANE (fl. 300 BC) Life One of the most eminent of the ancient Greek scientists, Autolycus was born in Pitane, in Aeolis (Asia Minor). He is cited by Diogenes Laertius and Simplicius. Two of his surviving works (extant in Greek, Latin and Arabic) are the oldest known treatises on astronomy. One of the three biggest craters on the moon (above the "Apennines" north of the centre of the moon) has been named "Autolycus" in his honour. Work Autolycus wrote two treatises on mathematical astronomy: "On the movement of the sphere": 1 book, extant. Describes a sphere constructed by the author to revolve about its axis. Upon it he marked two poles, the parallels of latitude and the meridians. The book includes 12 questions on spherical astronomy, and discusses the aspect of the heavens and the position of the different celestial circles, in connection with geographical latitude. Euclid consulted this work in writing his "Phaenomena". "On the Rising and Setting of Stars": 2 books, extant. The first book contains 13 propositions on astronomical questions, while the second discusses the division of the circle of the zodiac into twelve equal parts. These works are considered the oldest fully preserved mathematical texts in Greek.

6. TMTh:: AUTOLYCUS OF PITANE MATHEMATICIAN, ASTRONOMER, GEOGRAPHER autolycus of pitane (fl. 300BC) Life One of the most eminent of the ancient Greek scientists http://www.tmth.edu.gr/en/aet/3/19.html

Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ... PHYSICISTS MATHEMATICIAN, ASTRONOMER, GEOGRAPHER AUTOLYCUS OF PITANE (fl. 300 BC) Life One of the most eminent of the ancient Greek scientists, Autolycus was born in Pitane, in Aeolis (Asia Minor). He is cited by Diogenes Laertius and Simplicius. Two of his surviving works (extant in Greek, Latin and Arabic) are the oldest known treatises on astronomy. One of the three biggest craters on the moon (above the "Apennines" north of the centre of the moon) has been named "Autolycus" in his honour. Work Autolycus wrote two treatises on mathematical astronomy: "On the movement of the sphere": 1 book, extant. Describes a sphere constructed by the author to revolve about its axis. Upon it he marked two poles, the parallels of latitude and the meridians. The book includes 12 questions on spherical astronomy, and discusses the aspect of the heavens and the position of the different celestial circles, in connection with geographical latitude. Euclid consulted this work in writing his "Phaenomena". "On the Rising and Setting of Stars": 2 books, extant. The first book contains 13 propositions on astronomical questions, while the second discusses the division of the circle of the zodiac into twelve equal parts. These works are considered the oldest fully preserved mathematical texts in Greek.

7. Autolycus Biography of Autolycus (360BC290BC) autolycus of pitane. Born about 360 BC in Pitane, Aeolis, Asia Minor (now Turkey) http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Autolycus.html

Autolycus of Pitane Born: about 360 BC in Pitane, Aeolis, Asia Minor (now Turkey) Died: about 290 BC Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index We know some information about the life of Autolycus of Pitane, but not really enough to date him accurately. He was a teacher of Arcesilaus who was born in 315 BC so Autolycus must have lived until after 300 BC. It is generally assumed that he was older than Euclid . As Heath writes in [3]:- That he wrote earlier than Euclid is clear from the fact that Euclid ... makes use of theorems appearing in Autolycus, though, as usual in such cases, giving no indication of their source. However, before we accept Heath 's 'clear' argument, it is reasonable to put a counter argument from Neugebauer The generally accepted argument in favour of Autolycus's priority is singularly naive. Theorem of Euclid 's Phaenomena consists of four propositions with proofs for only three of them while the missing one is replaced by the remark "that this is the case has been shown elsewhere"; indeed theorem and proof are found as Theorem in Autolycus's 'Rotating Sphere'. That a remark of this kind should be genuine in any Greek mathematical treatise, Euclidean or not, seems to me utterly implausible; I would assume the obvious, i.e. that a scholion replaced, perhaps in a damaged copy, the first of four proofs by a simple reference to generally known theorems. In fact I see no reason why

8. References For Autolycus References for the biography of Autolycus autolycus of pitane, On the moving sphere and on risings and settings (Beirut, 1971). http://www-gap.dcs.st-and.ac.uk/~history/References/Autolycus.html

References for Autolycus Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: Autolycus of Pitane, On the moving sphere and on risings and settings (Beirut, 1971). T L Heath, A history of Greek mathematics I, II (Oxford, 1931). O Neugebauer, A history of ancient mathematical astronomy (New York, 1975). Articles: Proceedings of the seminar on the history of mathematics (Paris, 1984), 1-12. O Neugebauer, Notes on Autolycus, Centaurus O Schmidt, Some critical remarks about Autolycus' On risings and settings, in Den 11te Skandinaviske Matematikerkongress, Trondheim1949 (Oslo, 1952), 202-209. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1999 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Autolycus.html

9. Greek Index Aristaeus. Aristarchus. Aristotle. autolycus of pitane. Bryson. Callippus. Chrysippus http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Greek_index.html

Index of Greek mathematicians Below are various lists of Greek mathematicians. Full list Mathematicans/Philosophers Mathematicians/Astronomers Mathematicians/Astronomers/Philosophers ... Later circle squarers Some History Topics about Greek mathematics. Squaring the circle Doubling the cube Trisecting an angle Greek Astronomy Click on a name below to go to that biography. Full List of Greek Mathematicians in our archive Anaxagoras Anthemius Antiphon Apollonius ... Zenodorus Greek Mathematicans/Philosophers Anaxagoras Antiphon Archytas Aristotle ... Zeno of Elea Greek Mathematicians/Astronomers Apollonius Archimedes Aristarchus Aristotle ... Theon of Smyrna Greek Mathematicians/Astronomers/Philosophers Aristotle Cleomedes Democritus Eudoxus ... Thales Greek Circle squarers Anaxagoras Antiphon Apollonius Archimedes ... Bryson Carpus Dinostratus Hippias Hippocrates Nicomedes ... Sporus Later Circle squarers al-Haytham Johann Bernoulli Cusa James Gregory ... Societies, honours, etc JOC/EFR January 2000 The URL of this page is: School of Mathematics and Statistics University of St Andrews, Scotland http://www-history.mcs.st-andrews.ac.uk/history/Indexes/Greek_index.html

10. Autolycus Of Pitane - Anagrams Rearranging the letters of autolycus of pitane gives 'You count a pile fast?'! Rearrangingthe letters of 'autolycus of pitane' (Mathematician) gives http://www.anagramgenius.com/archive/autoly.html

Rearranging the letters of 'Autolycus of Pitane' (Mathematician) gives: You count a pile fast? (by Mike Mesterton-Gibbons by hand) (FREE!) Download FREE anagram-generating software for your Windows computer Instructions for linking to this page! Learn about the Anagram Genius software (Windows/MacOS) Search the Archive Add YOUR anagrams to the Archive! League table of top contributors Find anagram aliases of autolycus of pitane (or any other text)! Find gold service anagrams of autolycus of pitane (or any other text)! Anagram Genius Archive Main Index Anagram Gems Mailing List Anagram Genius Archive Turkey Index www.anagramgenius.com home page Crossword Maestro for Windows . The world's first expert system for solving crossword clues! Click here for more information or to download. William Tunstall-Pedoe . See this page for other points concerning autolycus of pitane.

11. Greek Mathematics Index Aristaeus. Aristarchus. Aristotle. autolycus of pitane. Bryson. Callippus. Chrysippus http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Greeks.html

History Topics: Index of Ancient Greek mathematics Articles about Greek mathematics. Squaring the circle Doubling the cube Trisecting an angle Greek Astronomy ... Greek number systems Various lists of Greek mathematicians. Full list Mathematicans/Philosophers Mathematicians/Astronomers Mathematicians/Astronomers/Philosophers ... Later circle squarers Click on a name below to go to that biography. Full List of Greek Mathematicians in our archive Anaxagoras Anthemius Antiphon Apollonius ... Zenodorus Greek Mathematicans/Philosophers Anaxagoras Antiphon Archytas Aristotle ... Zeno of Elea Greek Mathematicians/Astronomers Apollonius Archimedes Aristarchus Aristotle ... Theon of Smyrna Greek Mathematicians/Astronomers/Philosophers Aristotle Cleomedes Democritus Eudoxus ... Thales Greek Circle squarers Anaxagoras Antiphon Apollonius Archimedes ... Bryson Carpus Dinostratus Hippias Hippocrates Nicomedes ... Sporus Later Circle squarers Al-Haytham Johann Bernoulli Cusa James Gregory ... Search Form JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Indexes/Greeks.html

12. Turkey General Click to learn more Turkey General. www.AnagramGenius.com Anagrams.autolycus of pitane, Thales of Miletus. Anagram Genius Archive http://www.anagramgenius.com/archive/trgeneral.html

Turkey General Anagrams Autolycus of Pitane Thales of Miletus Anagram Genius Archive Main Index Anagram Genius Archive Turkey index Search the Archive League table of top contributors www.AnagramGenius.com home page William Tunstall-Pedoe

13. Au AUTOCHTHONES. AUTOCRACY. AUTOGRAPHS. AUTOLYCUS. autolycus of pitane. AUTOMATIC WRITING http://www.1911ency.org/A/AU

A/AU AUBADE AUBAGNE AUBE AUBENAS ... AUXONNE

14. History Of Astronomy: What's New At This Site On December 21, 1999 Asimov, Isaac (19201992) Very short biography and references. autolycus of pitaneAutolykos aus Pitane (c. 360 BC - c. 290 BC) Very short biography. Items. http://www.astro.uni-bonn.de/~pbrosche/new/new991221.html

History of Astronomy What's new History of Astronomy: What's new at this site on December 21, 1999 Some URLs have been updated. Welcome / About Site map (complete Table of Contents) updated Acknowledgements updated History of astronomy Observatories and other places Marseille , France Patrimoine et histoire de l'Observatoire de Marseille (in English and French) Groupe Patrimoine / History / Old Instruments / Archives / Old Books Montpellier , France (in French) Persons A Abbe, Cleveland (1838-1916) Very short biography Abbe, Ernst (1840-1905) Very short biography Abbot, Charles Greeley (1872-1973) Very short biography Adams, John Couch (1819-1892) Very short biography Ailly, Pierre d' [Aliacensis; Petrus de Allaco] (1350-c.1420) Very short biography and references Airy, George Biddell (1801-1892) Very short biography and reference al-Battani, Abu Allah [Abdallah] Mohammad ibn Jabir [Albategnius] (c.868-929) Very short biography al-Biruni, Abu Raihan (973-1048) Very short biography al-Farghani [al Fargani], Muhammed Ebn Ketir [Achmed Ibn Ketir; Alfraganus] (? - c. 840)

15. History Of Astronomy: What's New At This Site On August 30, 1999 autolycus of pitane Autolykos aus Pitane (c. 360 BC c. 290 BC)Short biography and references. B Barclay, Andrew (c.1814-1900 http://www.astro.uni-bonn.de/~pbrosche/new/new990830.html

History of Astronomy What's new History of Astronomy: What's new at this site on August 30, 1999 Several URLs have been updated. Welcome / About Citation Index updated Acknowledgements updated History of astronomy General From the Big Bang to the End of the Universe: The Mysteries of Deep Space Timeline Includes some history of astronomy. Observatories and other places Auckland , New Zealand The Astronomical History of the Auckland Province , by R. A. McIntosh and John Grigg From The Amateur Astronomer, Vol. 17, No. 2, May 1957, p. 20-22; No. 3, Dec. 1957, p. 40-42; Vol. 18, No. 1, June 1958, p. 3-6; No. 2, Dec. 1958, p. 20-23; No. 3, May 1959, p. 46-48; No. 4, Dec. 1959, p. 60-65. London , Ontario, Canada A History of the Department of Physics and Astronomy at the University of Western Ontario , by Donald R. Moorcroft (See also Introduction From Physics in Canada, Vol. 55, No. 4, July/Aug. 1999, p. 159-176 Ottobeuren , Germany Sternwarte Ottobeuren (in German) Public observatory.

16. A/AU AUBADE AUBAGNE AUBE AUBENAS AUBER, DFE AUBERVILLIERS AUSTRIAN SUCCESSION, WAR OF THE AUTHENTIC AUTIVARL AUTO DA FE AUTOCEPHALOUS AUTOCHTHONESAUTOCRACY AUTOGRAPHS AUTOLYCUS autolycus of pitane AUTOMATIC WRITING http://1911encyclopedia.org/A/AU/

A/AU AUBADE AUBAGNE AUBE AUBENAS ... AUXONNE

17. Re: [HM] An Ancient Greek Library By Margherita Barile of one the treatises of the Greek astronomer autolycus of pitane. I found this reference autolycus of pitane, On http://mathforum.com/epigone/historia_matematica/merpreezan/005601c19b53$15a65e2

Re: [HM] An ancient Greek library by Margherita Barile 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] An ancient Greek library Author: barile@dm.uniba.it Date: http://stabikat.staatsbibliothek-berlin.de/ http://www.dm.unipi.it/pages/maurolic/instrume/catalogi/topograf/autog/12-7472.htm The Math Forum

18. History Of Mathematics: Chronology Of Mathematicians A list of all of the important mathematicians working in a given century.Category Science Math Mathematicians Directories...... c. 350330) *SB *MT; Eudemus of Rhodes (the Peripatetic) (fl. c. 335)*SB 300 BCE. autolycus of pitane (fl. c. 300) *SB; Euclid (fl. 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

19. History Of Mathematics: Greece the Elder (fl. c. 350330); Eudemus of Rhodes (the Peripatetic) (c.335); autolycus of pitane (c. 300); Euclid (c. 295); Aristarchus 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)

20. Greek For Euclid Phaenomena. The Phaenomena is an astronomical book also attributed toEuclid, but probably the work of autolycus of pitane (315240 BC). http://www.du.edu/~jcalvert/classics/nugreek/lesson25.htm

The Phaenomena is an astronomical book also attributed to Euclid, but probably the work of Autolycus of Pitane (315-240 BC) In addition to the Elements, the name of Euclid is also attached to a number of other mathematical works, among which is the Phaenomena, the faino/mena , or appearances Whatever one believes about the structure of the heavens, for practical purposes the celestial sphere is still the most convenient mode of description, and is used today. The real motions make no change whatsoever. One of the two fundamental astronomical motions is the daily rotation of the earth, which is mirrored in the apparent rotation of the sky from west to east once in each sidereal day, in which a star on the meridian at its start returns to the meridian again. The Phaenomena deals with this motion, as perceived by an observer on the surface of the earth. To get a feel for the Phaenomena, let us study one of the shorter propositions, Proposition 3, which states: "Any fixed star, which rises and sets, always rises and sets at the same point of the horizon." This is proved simply by establishing that the star describes a small circle about the axis of the firmament, and the plane of this circle cuts the horizon circle at two points, those of rising and setting. The figure for the proposition simply shows a few circles that suggest the facts, unlike the Elements, when the figures are rigorously constructed. Since we are dealing with a new subject, astronomy, we will find a different vocabulary. The words needed for Proposition III are listed in the box at the left. The word

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