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         Autolycus Of Pitane:     more detail
  1. Aeolis: Aeolian Dodecapolis, Aeolians, Smyrna, Ephorus, Agathias, Cyme, Autolycus of Pitane, Notion, Elaea, Magnesia on the Maeander, Myrina
  2. 290 Bc: 290 Bc Births, 290 Bc Deaths, Megasthenes, Autolycus of Pitane, Onesicritus, Lucius Caecilius Metellus

1. AUTOLYCUS OF PITANE
autolycus of pitane
http://53.1911encyclopedia.org/A/AU/AUTOLYCUS_OF_PITANE.htm
document.write("");
AUTOLYCUS OF PITANE

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

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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
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    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

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    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
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    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!
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    Find gold service anagrams of autolycus of pitane (or any other text)!
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    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
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    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
    History of astronomy

    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
    History of astronomy

    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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