Chapter 16: Archimedes Among the earlier ones were archytas of tarentum, Plato s geometry teacher, Hippocratesof Chios, who tried to fit together all the rules, and Theodorus of http://www.anselm.edu/homepage/dbanach/arch.htm
Extractions: During the 4th century B.C., Greek geometry burst its bonds and went on to the tremendous discoveries of the "age of giants." And Greek culture, too, burst from the mainland of Hellas and spread to most of the eastern Mediterranean. Both developments were connected with the romantic figure of Alexander the Great. After Plato's time, teachers and alumni from the Academy had gone on to found schools of their own. In particular, Plato's most famous associate, the great philosopher Aristotle, had set up the Lyceum in Athens, and started the systematic classification of human knowledge. And Aristotle's most renowned pupil was the warrior king Alexander of Macedon, who tried to conquer the world. In thirteen years, Alexander extended his rule over Greece proper, and Ionia, Phoenicia, Egypt, and the vast Persian domains as far as India. Then he died, and his empire broke up. But throughout those far-flung lands, he had founded Greek cities and planted the seeds of Greek civilization-the Greek language, Greek art, and, of course, Greek mathematics. Mathematicians traveled with his armies. And there is even a
Sagittal t know they were contributing to Sagittal at the time (in chronological order oftheir contribution) Pythagoras of Samos, archytas of tarentum, Didymus the http://users.bigpond.net.au/d.keenan/sagittal/
Extractions: Preface The word "sagittal" (pronounced "SAJ-i-tl") means "arrow-like". Think of Sagittarius the archer; the centaur with bow and arrow that the ancients saw in the night sky. The Sagittal notation system is a comprehensive system for notating musical pitch in all possible scales and tunings - a universal set of microtonal accidentals, equally suited to extended just intonation, equal divisions of the octave (or of any other interval), or any of the non-just non-equal "middle path" tunings or temperaments. It is called Sagittal because, you guessed it, it uses various arrow-like symbols, pointing up or down to indicate raising or lowering of pitch. Sagittal was developed by George Secor and myself, with a major early contribution from Gene Ward Smith, and in cooperation with many others on the Yahoo Groups tuning and tuning-math . ... Or at least that's how it seemed to me at the time. We would like to thank the following for their suggestions and/or encouragement during the development of the Sagittal notation system so far, (in alphabetical order): Gabor Bernath, Graham Breed, Paul Erlich, Mark Gould, Kraig Grady, Aaron Hunt, Marc Jones, Carl Lumma, Herman Miller, Alison Monteith, Joe Monzo, Ted Mook, Manuel Op de Coul, Joseph Pehrson, Johnny Reinhard, Joel Rodrigues, Klaus Schmirler, Margo Schulter, Samara Secor, Gene Ward Smith, Dan Stearns, Jon Szanto, Robert Walker, Robert Wendell and Danny Wier. We would also like to thank the following, who didn't know they were contributing to Sagittal at the time (in chronological order of their contribution): Pythagoras of Samos, Archytas of Tarentum, Didymus the musician, Claudius Ptolemy, Giuseppe Tartini, Robert H M Bosanquet, Hermann von Helmholtz, Alexander Ellis, Ervin M Wilson, Ivor Darreg, Ezra Sims, Gardner Read, Paul Rapoport and Daniel Wolf.
GREENSEEK archytas of tarentum Brief biography from the Thessaloniki Museum ofTechnology. Help build the largest human-edited directory on the web. http://www.greenseek.de/internet/index.php/Society/Philosophy/Philosophers/A/Arc
Calvinesque Connections - Australian Sound Design Project Work m playing music on a computer which is tuned in the ancient Greek modes of the philosopher,mathematician, and music theorist archytas of tarentum (in southern http://www.sounddesign.unimelb.edu.au/web/biogs/P000343b.htm
Extractions: Home Browse Search Previous ... Next Related Entries Gallery Performance Location: The Tower, Ripponlea Estate, Victoria, Australia By Warren Burt Details A performance for unamplified voice and live computer by Warren Burt in The Tower, Ripponlea Estate, run daily from 21 - 28 November as part of Recent Ruins. The following is the text handed out the audience at each performance: Related Entries for Calvinesque Connections Artist Site Works by Same Artist Top of Page Prepared by: Iain Mott
Kurzweil Technologies, Inc.: Publications c. 420 BC, archytas of tarentum, a friend of Plato, constructs a wooden pigeonwhose movements are controlled by a jet of steam or compressed air. http://www.kurzweiltech.com/mchron.htm
Extractions: years ago The abacus, which resembles the arithmetic unit of a modern computer, is developed in the Orient. 3000-700 B.C. Water clocks are built in China in 3000 B.C., in Egypt c. 1500 B.C. and in Assyria 700 B.C. 2500 B.C. Egyptians invent the idea of thinking machines: citizens turn for advice to oracles, which are statues with priests hidden inside. b. 469 B.C. Socrates, the mentor of Plato, is the first Western thinker to assert that mental activities occur in the unconscious. 469-322 B.C. Socrates, Plato, and Aristotle establish the essentially rationalistic philosophy of Western culture. 427 B.C. In the Phaedo and later works Plato expresses ideas, several millennia before the advent of the computer, that are relevant to modern dilemmas regarding human thought and its relation to the mechanics of the machine. c. 420 B.C.
History - Power: The Final Ingredient - Instructor with four vertical vents. Some fifty years later archytas of tarentumused a steam jet to launch a wooden bird. But it was not until http://wings.avkids.com/Book/History/instructor/power-01.html
Extractions: Power: The Final Ingredient page 1 The earliest recorded use of power to make objects fly was during the classic Greek civilization. About 500 B.C. Heron of Alexandria harnessed steam power when he constructed a rotating boiler with four vertical vents. Some fifty years later Archytas of Tarentum used a steam jet to launch a wooden bird. But it was not until the onset of the Industrial Revolution in England at the beginning of the 18th century that the steam engine became mass-produced and less expensive. Cayley himself had in 1837 designed a steam engine to power the propellers of a streamlined balloon - that is, he had foreshadowed the airship as well as the aeroplane. But he was dissatisfied with the design, which would pass water through a cooled pipe in such a way as to convert it to steam in a single pass. He was generally frustrated by the massive weight of the engines used to propel land and sea vehicles, and stressed the need for lightness of material and fuel. "It is proper to notice the probability that exists of using the expansion of air, by the sudden expansion of inflammable powders or liquids ... an engine of this sort might be produced by a gas-tight apparatus and by firing the inflammable air generated with a due portion of air under a piston." Cayley was anticipating the internal combustion engine, but it would not arrive until after his death. Orville and Wilbur Wright became interested in flight as boys in Ohio when their father gave them a rubber band powered toy glider, a recent invention of Alphonse Penaud. Although the brothers did not go onto higher education they were curious, creative and mechanically inclined. As adolescents they had designed and built their own printing press and published a weekly newspaper. When bicycling became popular in the 1890's they took advantage of the "mania" and ran a successful bicycle repair shop. They made so much money repairing bikes they went on to design and manufacture their own bicycles and, of course, added mechanical innovations they had designed.
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
History Of Mathematics: Chronology Of Mathematicians MT 400 BCE. Hippasus of Metapontum (or of Sybaris or Croton) (c. 400?);archytas of tarentum (of Taras) (c. 428c. 347) *SB *MT; Plato http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html
Extractions: 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 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 Ahmes (c. 1650 B.C.E.) *MT Baudhayana (c. 700) 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) 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
Conflicts Between Aristocracy And Democracy again. archytas of tarentum Pythagorean philosopher, elected Generalof Tarentum seven times despite the one-term limit. Dion s http://www.brynmawr.edu/classics/redmonds/csts205w14.html
Extractions: Plato, History, and the Dreams of Philosophy Forms of Social Organization in Greece: Economic, Political, Military property classes and shift from redistributive economy clan tribe tribe ) - polis interstate alliances Hellenic League Peloponnesian League Delian League Boeotian League Arcadian League Second Athenian League aristocrat's raids to citizen hoplites to professional mercenaries land empires and naval empires redefinition of arete competitive and cooperative excellences nomos vs. physis Plato and a view of the past from Athens after the Peloponnesian War Plato (427/8 - 347/8) - Athenian of aristocratic family, pupil of Socrates, founder of the Academy Leaders in Athens before Plato's Time Solon Pisistratus Cleisthenes Perikles Leaders during the Peloponnesian War Cleon Alcibiades Theramenes Critias The Case of Syracuse Deinomenid tyrants, backed by Gamoroi aristocratic clans: Gelon of Gela and his brother Hieron 485-466 War against Carthage - 480 Democracy during 5 th century fails against Carthage 409 Hermocrates Diocles Dionysius Dionysius the Elder - tyrant of Syracuse, of non-aristocratic lineage
EXPLORIT Science Center - "Float, Sink Or Swim?" take advantage of air currents and wind to enable them to swim in the air, are thoughtto have been invented by the Greek scientist archytas of tarentum in the http://www.explorit.org/science/bytes/float.html
Extractions: by Anne Hance T he ancient Chinese propounded the notion during the first century AD, that the sun, moon and stars float freely in space. This notion, while an improvement over earlier ideas, is not acceptable in light of our modern understanding of bodies in space. But they correctly recognized that water particles float in the air and, as part of a water cycle, sink down to earth as rain to replenish lakes, rivers and oceans. S ince a fluid is any substance that takes the shape of any vessel containing it, air and water are both 'fluids'. The physical and chemical properties of air and water have enabled the development of many forms of life ever since life began on this planet. But the purposeful study of these properties had to wait until sentient beings paid deliberate attention to them. O f course, prehistoric peoples recognized that some things would float on water and, without the need for any understanding of science to explain this phenomenon, they built rafts and boats. Experience, rather than a formalized knowledge of 'science', taught them how to take advantage of the physical properties of water and the materials with which they built their craft. L earning to take advantage of the physical properties of air was historically a much slower process. From earliest times, people watched birds and insects use the fluid nature of air to enable them to fly. People could not fly and so they invented things that could. Kites, which take advantage of air currents and wind to enable them to swim in the air, are thought to have been invented by the Greek scientist Archytas of Tarentum in the fourth century BC.
Music & Philosophy Plato himself was not sanguine of results, but as both Dion and philosopherstatesmanarchytas of tarentum thought the prospect promising he felt bound in http://www.dhpc.org/about/stained/musicand.htm
Extractions: DRUID HILLS PRESBYTERIAN CHURCH Questioning Serving Growing PHILOSOPHY PLATO (428-347 B.C.), Greek philosopher whose influence on thought has been continuous for more than 2400 years, was the son of Ariston and Perictione. His family, on both sides, was one of the most distinguished of Athens. Ariston is said to have traced his descent through Codrus to the god Poseidon; on the mother's side, the family that was related to Solon, goes back to Dropides, archon of the year 644 B.C.. Both were old friends of Socrates, and through them Plato must have known the philosopher from boyhood. Soon after 387, Plato founded the Academy as an institute for the systematic pursuit of philosophical and scientific research. He presided over it for the rest of his life, making it the recognized authority alike in mathematics and jurisprudence. From the allusions of Aristotle we gather that Plato lectured without manuscript, and we know that "problems" were propounded for solution by the joint researches of students. On the political side there were traces of tension between the Academy and the rival school of Isocrates.
Modern Theosophy: The Path And Its Difficulties them that in this inability to reckon consequences lies their wrongdoing, and soit prevents them from committing the wrong deed. archytas of tarentum, 4th C http://www.katinkahesselink.net/other/path.html
Extractions: Bhagavad Gita, tr Edwin Arnold In the Sanskrit of the Bhagavad Gita, the word gatim is variously translated as Path, Goal, State, Condition: Here are some of the uses of gatim in a typical translation: path of virtue, path of final emancipation evil path men follow in my path; men retrace my path in every way thorny and dark the path is the farther path a state beyond return He whose mind has deviated from yoga; deluded on the path not reaching to yogic attainments, having failed what path does he take? (What end does he meet? what way is there for him?) pathi He is confounded regarding the path of the Absolute he is perplexed in the path to Brahman param gatim; a higher way
M. Tullius Cicero: On The Republic, Book 1 I imitate the famous archytas of tarentum, who, when he came to his villa, and foundall its arrangements were contrary to his orders, said to his steward Ah! http://www.constitution.org/rom/republica1.htm
Extractions: Oliver J. Thatcher Book I. Then Laelius said: But you have not told us, Scipio, which of these three forms of government you yourself most approve. Scipio Laelius : I think so, too, but yet it is impossible to dispatch the other branches of the question, if you leave this primary point undetermined. Scipio : We must, then, I suppose, imitate Aratus, who, when he prepared himself to treat of great things, thought himself in duty bound to begin with Jupiter. Laelius : Why Jupiter? And what is there in this discussion which resembles that poem? Scipio : Why, it serves to teach us that we cannot better commence our investigations than by invoking him whom, with one voice, both learned and unlearned extol as the universal king of all gods and men. Laelius : How so? Scipio : Do you, then, believe in nothing which is not before your eyes? Whether these ideas have been established by the chiefs of states for the benefit of society, that there might be believed to exist one Universal Monarch in heaven, at whose nod (as Homer expresses it) all Olympus trembles, and that he might be accounted both king and father of all creatures; for there is great authority, and there are many witnesses, if you choose to call all many, who attest that all nations have unanimously recognized, by the decrees of their chiefs, that nothing is better than a king, since they think that all the gods are governed by the divine power of one sovereign; or if we suspect that this opinion rests on the error of the ignorant, and should be classed among the fables, let us listen to those universal testimonies of erudite men, who have, as it were, seen with their eyes those things to the knowledge of which we can hardly attain by report.
CATHOLIC ENCYCLOPEDIA: Pythagoras And Pythagoreanism 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
Astronomy.com | Parents And Teachers: Activities - Fun Facts The earliest rocketlike device can be traced to ancient Greece and the year 400BC when archytas of tarentum built a flying, steam-powered pigeon made of wood http://www.astronomy.com/content/static/parentsteachers/activities/blastoff_sb1.
Extractions: ACTIVITIES FUN FACTS Did you know Robert H. Goddard is called the "father of modern rocketry?" He experimented with multistage rockets, solid and liquid propellants, developed a system to control flight paths using gyroscopes, and designed payload compartments to house scientific equipment. The earliest rocket-like device can be traced to ancient Greece and the year 400 B.C. when Archytas of Tarentum built a flying, steam-powered pigeon made of wood. The space shuttle has four main components: two solid rocket boosters, an external fuel tank, and the orbiter. It would take roughly 400 thousand subcompact cars to equal the combined thrust made by the space shuttle's two solid rocket boosters, 5.3 million pounds. The Saturn V rocket's initial stage produced 7.5 million pounds of thrust at liftoff. That's equal to the thrust produced by 566,000 subcompact cars.
À§´ëÇѼöÇÐÀÚ ¸ñ·Ï Sicily Died 212 BC in Syracuse, Sicily Archytas, archytas of tarentum Born about428 BC in Tarentum (now Taranto), Magna Graecia (now Italy) Died about 350 http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=A
Nepal One tradition holds that kites were invented by archytas of tarentum, a Greek scientistin the 5th century BC, but they have been in use among Asian peoples http://perso.wanadoo.fr/manjhamania/manjha/nepal.htm
LiftAll archytas of tarentum rank 249 Up One Level Topia! Society Philosophy Philosophersarchytas of tarentum (3) See Also Science Math History Society http://www.allegiancewars.com/topia/LiftAll
Extractions: TopiaSearch.com - Generators rank: Search above for the product you want Generators 12 V Dry Cell Generator Battery 1215 KW Northern Pro Housed Diesel Generator 1215 KW Northern Pro Open Diesel Generator 125 Volt50 Amp Generator Plug 125250 Volt50 Amps Generator Plug 125250 Volts20 Amps Generator Plug 125250 Volts60 Amps Generator Plug 125250Volts 30 Amps Generator Plug 12V Generator Battery 150 200 KW Generator Enclosure 150 Gallon Fuel Tank 165 KW Northern Pro Housed Diesel Generator 165 KW Northern Pro Up One Level Topia!: Sports: Winter Sports: Snowboarding: Instruction and Tricks: Schools (8) Virtual Snow - Offers training program to improve or learn skiing and snowboarding skills. A simulator offers practice time in front of a mirror while watching a instruction video to match your moves. Offers California training locations in Orangevale and Los Angeles. Scuola Snowboard and Skischool - Located in the Dolomites, Val Gardena, Italy, this school has a team of exclusively young and re Up One Level Topia!: Sports: Skating: Roller Skating: Regional: United States: Minnesota (1) Rollerdome - Skating at the Metrodome in Minneapolis, MN, USA. Additional categories: LiftAll printer Go-Karts stylus Silver Moon Concepts Minnesota Help build the largest human-edited directory on the web. Submit a Site - Open Directory Project - Become
World InfoZone - Greece Facts archytas of tarentum (428 350 BC) was a mathematician whose workinspired Euclid s The Elements, a leading mathematical work. http://www.worldinfozone.com/facts.php?country=Greece