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Archytas Of Tarentum:     more detail

Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King by Carl Huffman, 2010-09-09 Archytas of Tarentum: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001 Archytas of Tarentum: An entry from Gale's <i>Science and Its Times</i> Huffman, Carl A. AArchytas of Tarentum: Pythagorean, Philosopher, and Mathematician King.(Book review): An article from: The Review of Metaphysics by Philip Rousseau, 2006-12-01 Ancient Tarantines: Aristoxenus, Livius Andronicus, Archytas, Leonidas of Tarentum, Cleinias of Tarentum, Phalanthus of Tarentum ARCHYTAS OF TARENTUM(C. 425 BCEC. 350 BCE): An entry from Gale's <i>Encyclopedia of Philosophy</i> by Carl Huffman, 2006

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1. TMTh:: ARCHYTAS OF TARENTUM
   MATHEMATICIAN archytas of tarentum (fl. 428347 BC) Life Pythagoreanphilosopher, mathematician and astronomer, Archytas is sometimes  
   http://www.tmth.edu.gr/en/aet/1/14.html
   
   Extractions: Pythagorean philosopher, mathematician and astronomer, Archytas is sometimes called the father of mathematical mechanics. Aristotle wrote a special treatise on his work, entitled "The Philosophy of Archytas". His theories on the exact sciences are based on two principles: a) that there is no absolute difference between the organic and the inorganic world, and b) that the law of causality cannot interpret phenomena. In mathematics, Archytas was the first to distinguish between arithmetic and geometric progressions; he also found a solution to the problem of doubling the cube. He is thought to be the inventor of the screw and the pulley, and a forefather of mechanical flight. He was a friend of Plato and a teacher of Eudoxus of Cnidus. A valley at the North Pole of the moon has been named "Archytas" in his honour. The idea of flight had a perennial and passionate fascination for many ancient peoples; this is especially true of Greece, where not only the gods but also an assortment of demigods and mythical creatures were endowed with this gift. From myth to reality, however, is a long step, even though it was partially spanned by Daedalus with his famous airborne escape from Crete. While the flight of Daedalus and Icarus was probably mythical (opinion is divided), the feat of Archytas by contrast was truly revolutionary: in 425 BC he constructed the first flying machine in history. His "pigeon" (as he called it) was powered by a system of jet propulsion, and in one experiment it flew a distance of 200 metres. Once it fell to the ground, however, this machine could not take off again. Evanghelos Stamatis thinks it must have been some sort of jet-propelled craft driven by a compressed air system.

2. Archytas Of Tarentum - Encyclopedia Article From Britannica.com
   Search archytas of tarentum at Britannica.com for the Web's best sites, news and magazine articles, and related products.  
   http://www.britannica.com/seo/a/archytas-of-tarentum
   
   Extractions: Of Tarentum fl. 400, -350 BC, Tarentum, Magna Graecia [now Taranto, Italy] Greek scientist, philosopher, and major Pythagorean mathematician, who is sometimes called the founder of mathematical mechanics. Plato , a close friend, made use of his work in mathematics, and there is evidence that Euclid borrowed from him for Book ... Need more? Complete articles are available to premium service members. Information on site licenses is also available.

3. Dupcubfin.html
   Duplication of the Cube Darrell Mattingly, Cateryn Kiernan Origin of the Problem Proof that NO Platoic Solution Exists for the "Delian" Problem Rule and Collapsable Compass Solution archytas of tarentum's Solution archytas of tarentum's Solution. The most interesting and complex of the solutions to the "Delian" Problem is the  
   http://www.ms.uky.edu/~carl/ma330/projects/dupcubfinTOC.html

4. Plato: Chronology
   under the leadership of archytas of tarentum. First acquaintance with Dion of Syracuse (brotherin-law of Dionysius I)  
   http://www.csun.edu/~hcfll004/platochron.html
   
   Extractions: [Archonship of Diotimus] Plato born in Athens, the son of Ariston (son of Aristokles, direct descendant of Solon's brother Exekestiades); his mother was Periktione (sister of Charmides and cousin of Kritias). Plato had two brothers and a sister. His mother married a second time, to Pyrilampes, a member of the Periclean group. The Great Peloponnesian War (Part I). Young Plato received a musical and gymnastic education; he wrote juvenile epigrams and tragedies, but burned them once he became associated with Socrates. Great Peloponnesian War (Part II). He was active politically ( Letter 7 ). His uncle and cousin were among the Thirty Tyrants (404/3), who terrorized the Athenian state after Athens lost the war to Sparta in 404. Conservative coup d' état (The 400), followed later in the summer by a democratic restoration led by Alcibiades. Trial and execution of Socrates. Plato was present at the trial, but not allowed to speak. Plato and other disciples removed themselves to Megara, next door to Athens. There was later a 'Megarean School' of Socratic philosophy: Elkleides of Megara (author of a Crito, Eroticus, Aeschines, Alcibiades

5. Bolt Science - Historical Background To Screw Threads
   invented in about 400BC by archytas of tarentum (428 BC 350 BC). Archytas is sometimes called the founder of  
   http://www.boltscience.com/pages/screw2.htm
   
   Extractions: Bolt Science is committed to providing expertise in bolted joint technology and to this end we present the following information for education purposes. It is considered by some that the screw thread was invented in about 400BC by Archytas of Tarentum (428 BC - 350 BC). Archytas is sometimes called the founder of mechanics and was a contemporary of Plato. One of the first applications of the screw principle were in presses for the extraction of oils from olives and juice from grapes. The oil presses in Pomeii were worked by the screw principle. Archimedes (287 BC - 212 BC) developed the screw principle and used it to construct devices to raise water. The water screw may have originated in Egypt before the time of Archimedes was constructed from wood and was used for land irrigation and to remove bilge-water from ships. The Romans applied the Archimedean screw to mine drainage. The screw was described in the first century AD in Mechanica of Heron of Alexandria. The construction of the screw thread depended upon the eye and skill of the craftsman. Advances on this occurred in the eighteenth century. Antoine Thiout around 1750 introduced the innovation of equipping a lathe with a screw drive allowing the tool carriage to be moved longitudinally semi-automatically. Screws with fine pitches are essential in a wide variety of instruments - such as micrometers. To construct such a thread a lathe was essential. Jesse Ramsden in 1770 made the first satisfactory screw-cutting lathe. Using his lathes a long screw cut be cut from a carefully cut small original. Precision screws allowed precision instruments to be made to allow the construction of steam engines and machines tools. By their use in surveying instruments they assisted in the construction and development of canals, roads and bridges.

6. Archytas
   archytas of tarentum. Born about 428 BC in Tarentum (now Taranto), Magna Graecia (now Italy)  
   http://sfabel.tripod.com/mathematik/database/Archytas.html
   
   Extractions: Previous (Alphabetically) Next Welcome page Archytas was a mathematician, statesman and philosopher. He worked on the harmonic mean and gave it that name. The reason he worked on this was his interest in the problem of duplicating the cube, finding the side of a cube with volume twice that of a given cube. Hippocrates reduced the problem to finding mean proportionals. Archytas solved the problem with a remarkable geometric solution (not of course a ruler and compass construction). He is sometimes called the founder of mechanics and Plato , a close friend, made use of his mathematics. Euclid also borrowed his work for Book 8 of the Elements References (6 books/articles) References elsewhere in this archive: There is a Crater Archytas on the moon. There is also a Rima Archytas . You can see a list of lunar features named after mathematicians. Previous (Chronologically) Next Biographies Index

7. Archytas
   archytas of tarentum. Born about 428 BC in Tarentum (now Taranto),Magna Graecia (now Italy) Died about 350 BC. Click the picture  
   http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Archytas.html
   
   Extractions: Archytas of Tarentum was a mathematician, statesman and philosopher who lived in Tarentum in Magna Graecia, an area of southern Italy which was under Greek control in the fifth century BC. The Pythagoreans, who had at one stage been strong throughout Magna Graecia, were attacked and expelled until only the town of Tarentum remained a stronghold for them. Archytas led the Pythagoreans in Tarentum and tried to unite the Greek towns in the area to form an alliance against their non-Greek neighbours. He was commander in chief of the forces in Tarentum for seven years despite there being a law that nobody could hold the post for more than a year. Plato , who became a close friend, made his acquaintance while saying in Magna Graecia. Heath writes in [4]:- ... he is said, by means of a letter, to have saved

8. Archytas
   Biography of Archytas (428BC350BC) archytas of tarentum. Born about 428 BC in Tarentum (now Taranto), Magna Graecia (now Italy)  
   http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Archytas.html
   
   Extractions: Archytas of Tarentum was a mathematician, statesman and philosopher who lived in Tarentum in Magna Graecia, an area of southern Italy which was under Greek control in the fifth century BC. The Pythagoreans, who had at one stage been strong throughout Magna Graecia, were attacked and expelled until only the town of Tarentum remained a stronghold for them. Archytas led the Pythagoreans in Tarentum and tried to unite the Greek towns in the area to form an alliance against their non-Greek neighbours. He was commander in chief of the forces in Tarentum for seven years despite there being a law that nobody could hold the post for more than a year. Plato , who became a close friend, made his acquaintance while saying in Magna Graecia. Heath writes in [4]:- ... he is said, by means of a letter, to have saved

9. Chronology For 500BC To 1AD
   number. (See this History Topic.). 387BC Plato founds his Academy inAthens. About 375BC archytas of tarentum develops mechanics. He  
   http://www-gap.dcs.st-and.ac.uk/~history/Chronology/500BC_1AD.html

10. TMTh:: Ancient Greek Technologists
    PHYSICIANS PHYSICISTS, ADRASTUS OF APHRODISIAS AETHRA OF TROEZEN APOLLONIUS OF PERGAARATUS OF SOLI ARCHIMEDES OF SYRACUSE archytas of tarentum ARISTAEUS THE  
    http://www.tmth.edu.gr/en/aet/1.html

11. Encyclopædia Britannica
    Encyclopædia Britannica. archytas of tarentum. Encyclopædia Britannica Article  
    http://www.britannica.com/eb/article?eu=9411

12. Encyclopædia Britannica
    Search Tips. Your search archytas of tarentum. Log In or Subscribe Now. Expand yoursearch on archytas of tarentum with these databases Journals and magazines.  
    http://www.britannica.com/search?query=archytas of tarentum&seo

13. Archytas Of Tarentum
    © 1998 Bernard SUZANNE, Last updated December 5, 1998. Plato and hisdialogues Home Biography - Works - History of interpretation  
    http://plato-dialogues.org/tools/char/archytas.htm
    
    Extractions: Bernard SUZANNE Last updated December 5, 1998 Plato and his dialogues : Home Biography Works History of interpretation ... New hypotheses - Map of dialogues : table version or non tabular version . Tools : Index of persons and locations Detailed and synoptic chronologies - Maps of Ancient Greek World . Site information : About the author This page is part of the "tools" section of a site, Plato and his dialogues , dedicated to developing a new interpretation of Plato's dialogues. The "tools" section provides historical and geographical context (chronology, maps, entries on characters and locations) for Socrates, Plato and their time. For more information on the structure of entries and links available from them, read the notice at the beginning of the index of persons and locations . . . . WORK IN PROGRESS - PLEASE BE PATIENT . . . To Perseus general lookup encyclopedia mentions in ancient authors Plato and his dialogues : Home Biography Works History of interpretation ... New hypotheses - Map of dialogues : table version or non tabular version . Tools : Index of persons and locations Detailed and synoptic chronologies - Maps of Ancient Greek World . Site information : About the author First published January 4, 1998 - Last updated December 5, 1998

14. Dupcubfin.html
    archytas of tarentum's Solution. The most interesting and complex of the solutions to the "Delian" Problem is the  
    http://www.ms.uky.edu/~carl/ma330/projects/dupcubfin.html

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    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_78.htm
    
    Extractions: ¤½¤¸«e ¥ª¥k¡A¥j§Æ¾ §Æ¾¼Æ¾Ç®a¡B­õ¾Ç®a¡Bª«²z¾Ç®a¡A¥Í¥­¤£¸Ô¡C¬ù¤½¤¸«e ¦~¬¡°Ê©ó¥LªL´°¡£¤µ·N¤j§Q¶ðÄõ¦«¡¤¡Cªüº¸§Æ¶ð´µ¬O²¦¹F­ô©Ô´µ¾Ç¬£±ß´Á­«­nªº¦¨­û¡A¥L¹ï¼Æ¾Ç¤ÎÀ³¥Î¼Æ¾Çªº°^Äm¬O«Ü¤jªº¡C ¥­§¡­È²z½×©M¤ñ¨Ò²z½×¬Oªüº¸§Æ¶ð´µ¹ï¼Æ¾Çªº¥D­n°^Äm¡A¥L¹ï½×¤F¤TºØ¥­§¡­È¡Gºâ³N¥­§¡¡B´X¦ó¥­§¡©M½Õ©M¥­§¡¡A«ü¥X¡§®t¼Æ¬° ªº¨â¼Æ¤§¶¡¨S¦³¡£¦³²z¡¤´X¦ó¥­§¡­È¡¨¡A¼Ú´X¨½¼w¡m´X¦ó­ì¥»¡n¨÷ VIII Ptolemy ¡¤ÅA¬°²¦¹F­ô©Ô´µ¾Ç¬£³Ì­«­nªº­µ¼Ö²z½×®a¡C ªü«´¶ð³ÌµÛ¦Wªº¼Æ¾Ç°^Äm¬O­¿¥ß¤èÅé°ÝDªº¨D¸Ñ¡A¥L§Q¥Î¤TºûªÅ¶¡ªº¥ßÅé¼Ò«¬¨Ó¸Ñ¨M³o¤@°ÝD¡A¦¨¬°¸û¦­¬ã¨s³o¤@°ÝDªº¼Æ¾Ç®a¡C­¿¥ß¤èÅé°ÝD¬ã¨sªº²Ä¤@¨B¶i®i¬O¥Ñ²¦¤ó¾Ç¬£ªº¦¨­û§Æªi§J©Ô©³°µ¥Xªº¡A¥L±N³o­Ó°ÝDÂkµ²¬°¨D½u¬q a »P

16. ¤Hª«
    (Zeno of Elea), ?(archytas of tarentum).?(Hippocrates of Chios), ?(Plato).  
    http://www.edp.ust.hk/math/history/3/

17. Title
    archytas of tarentum Ca. One of the last prominent Pythagoreans, Archytas ofTarentum was a mathematician, teacher, philosopher, and military leader.  
    http://www.math.uvic.ca/courses/math415/Math415Web/greece/gmen/archytastext.html

18. Dupcubfin.html
    archytas of tarentum's Solution The most interesting and complex of the solutionsto the Delian Problem is the solution developed by archytas of tarentum.  
    http://www.ms.uky.edu/~carl/ma330/projects/dupcubfin1.html
    
    Extractions: Duplication of the Cube : Darrell Mattingly, Cateryn Kiernan The ancient Greeks originated numerous mathematical questions, most of which they learned to solve using simple mathematical tools, such as the straight edge and the collapsable compass. Three of these problems persist today, challenging students in contemporary classrooms. This triology of problems, the trisection of a given angle, the squaring of a circle, and the duplication of the cube, have since been proved impossible using exclusively the straight edge and the compass. In the quest to solve these problems using those specific tools, however, mathematicians developed numerous alternate solutions using other mathematical tools. The last problem of the trilogy is the focus of this discussion, and it challenged mathematicians for centuries, due to the restriction of using only the aforementioned tools. Origin of the Problem Proof that NO Platoic Solution Exists for the "Delian" Problem After centuries of mathematicians had worked on this problem, a proof developed that it could not be done using exclusively the straight edge and compass. This proof is based on theorems about the powers of degrees of subfields generated by the x and y coordinates of the side of the cube to be duplicated. Although the desired point can be approximated, it cannot in fact be found based on these theorems.

19. CATHOLIC ENCYCLOPEDIA: Pythagoras And Pythagoreanism
    (Catholic Encyclopedia)Category Society Religion and Spirituality P around the name of Pythagoras, many tenets were ascribed him which were in factintroduced by later Pythagoreans, such as Philolaus and archytas of tarentum.  
    http://www.newadvent.org/cathen/12587b.htm
    
    Extractions: Home Encyclopedia Summa Fathers ... P > Pythagoras and Pythagoreanism A B C D ... Z Pythagoras, the Greek philosopher and mathematician and founder of the Pythagorean school, flourished about 530 B. C. Very little is known about the life and personality of Pythagoras. There is an abundance of biographical material dating from the first centuries of the Christian era, from the age of neo-Pythagoreanism, but, when we go back to the centuries nearer to Pythagoras's time, our material becomes very scanty. It seems to be certain that Pythagoras was born at Samos about the year 550 or 560 B. C. miracles , pronounced prophecies, and did many other wonderful things, belong to legend, and seem to have no historical foundation. Similarly the story of his journey into Egypt, Asia Minor, and even to Babylon is not attested by reliable historians. To the region of fable belongs also the description of the learned works which he wrote and which were long kept secret in his school. It is certain, however, that he founded a school, or, rather, a religious philosophical society, for which he drew up a rule of life. In this rule are said to have been regulations imposing secrecy, a protracted period of silence, celibacy , and various kinds of abstinence. The time-honoured tradition that Pythagoras forbade his disciples to eat beans, for which various reasons, more or less ingenious, were assigned by ancient and medieval writers, has been upset by some recent writers, who understand the phrase, "Abstain from beans" (

20. History Of Mathematics: Greece
    460370); Hippasus of Metapontum (or of Sybaris or Croton) (c. 400?);archytas of tarentum (of Taras) (c. 428-c. 347); Plato (427-347  
    http://aleph0.clarku.edu/~djoyce/mathhist/greece.html

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