1. Theon Of Smyrna theon of smyrna. Greek astronomer and mathematician and one on astronomy and astrology. Theon collated and organized discoveries made by his predecessors, and articulated http://astroinfo.port5.com/t/theon_of_smyrna.html

Theon of Smyrna Greek astronomer and mathematician. In his celestial mechanics, the planets, Sun, Moon, and the sphere of fixed stars were all set at intervals congruent with an octave. His only surviving work, Expositio rerum mathematicarum ad legendum Platoneum utilium, is in two manuscripts, one on mathematics and one on astronomy and astrology. Theon collated and organized discoveries made by his predecessors, and articulated the interrelationships between arithmetic, geometry, music, and astronomy. The section on mathematics deals with prime, geometrical, and other numbers in the Pythagorean pantheon; the section on music considers instrumental music, mathematical relations between musical intervals, and the harmony of the universe. The astronomical section is by far the most important. Theon puts forward what was then known about conjunctions, eclipses, occultations, and transits. Other subjects covered include descriptions of eccentric and epicyclic orbits, and estimates of the greatest arcs of Mercury and Venus from the Sun. Site Map Category Main Page About Us

2. History Of Mathematics: Greece 100 CE) Nicomachus of Gerasa (c. 100) theon of smyrna (c. 125 Serenus of Antinopolis (c. 350) Theon of Alexandria (c. 390) Synesius of Cyrene, Bishop of Ptolemais (c 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)

3. Theon_of_Smyrna theon of smyrna. Born about 70 Died about 135. Click the picture aboveto see a larger version Little is known of theon of smyrna s life. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Theon_of_Smyrna.html

Theon of Smyrna Born: about 70 Died: about 135 Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Little is known of Theon of Smyrna 's life. He was called 'the old Theon' by Theon of Alexandria and 'Theon the mathematician' by Ptolemy . The date of his birth is little better than a guess, but we do have some firm data about dates in his life. We know that he was making astronomical observations of Mercury and Venus between 127 and 132 since Ptolemy lists four observations which Theon made in 127, 129, 130 and 132. From these observations Theon made estimates of the greatest angular distance that Mercury and Venus can reach from the Sun. The style of his bust, dedicated by his son 'Theon the priest', gives us the date of his death to within 10 years and it is placed within the period 130-140 (hence our midpoint guess of 135). Theon's most important work is Expositio rerum mathematicarum ad legendum Platonem utilium. This work is a handbook for philosophy students to show how prime numbers , geometrical numbers such as squares, progressions, music and astronomy are interrelated. Its rather curious title means that it was intended as an introduction to a study of the works of

4. Theon Of Smyrna: Mathematics Useful For Understanding Plato Or, Pythagorean Arit theon of smyrna Mathematics Useful for Understanding Plato Or, Pythagorean Arithmatic, Music, Astronomy, Spiritual Disciplines by R. D. Lawlor (Translator) isbn 0913510246 http://www.campusi.com/isbn_0913510246.htm

Find the best price on books. (with coupons) Search by: Keyword Title Author ISBN Advanced Search Search Tips Browse Book Computer Electronics Movie Music ... Sell Books Search 60 stores for Theon of Smyrna: Mathematics Useful for Understanding Plato Or, Pythagorean Arithmatic, Music, Astronomy, Spiritual Disciplines Theon of Smyrna: Mathematics Useful for Understanding Plato Or, Pythagorean Arithmatic, Music, Astronomy, Spiritual Disciplines Click here to compare prices for this book from 60 stores Author: ISBN: Publisher: Wizards Bookshelf Date published: June 1978 Edition: Format: Hardcover Number of pages: Size: Related Books: All Editions Similar Books Click here to compare prices for this book from 60 stores Synopsis: Not Available Book Review: Not Available About Author: Not Available Dissatisfied with the search results? Report an error. Recommend us Help Support

5. References For Theon_of_Smyrna References for theon of smyrna. Articles GC Vedova, Notes on Theonof Smyrna, The American Mathematical Monthly 58 (1951), 675683. http://www-gap.dcs.st-and.ac.uk/~history/References/Theon_of_Smyrna.html

References for Theon of Smyrna Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: T L Heath, A History of Greek Mathematics (2 Vols.) (Oxford, 1921). O Neugebauer, A history of ancient mathematical astronomy (New York, 1975). Articles: G C Vedova, Notes on Theon of Smyrna, The American Mathematical Monthly 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/References/Theon_of_Smyrna.html

6. Theon Of Smyrna theon of smyrna, in the form of a channel, describes Genesis before the beginning and the evolution of human thought. theon of smyrna. theon of smyrna, was a student of Pythagorus theon of smyrna (a channel) has explained the first part of Genesis (and numbers) to me (Harold) by thinking http://www.old-mage.com/channels/theon02.htm

Theon of Smyrna Theon of Smyrna, was a student of Pythagorus. His book, "Math Useful in Understanding Plato" is one of the few records we have left of the way numbers were used by the Greeks. In particular he recorded the tetractys , which represented everything representable to the Greeks. repersentable represent What was before beginning is important Theon of Smyrna (a channel ) has explained the first part of Genesis (and numbers) to me (Harold) by thinking differently (he must have used a Mac;-) and going to "before the beginning". He said it several different ways so I could understand. The beginning of perception: iaod "Before the beginning, human's existence was beyond all words Then a descriptor arose and it was god and it was a word and it was called 'the builder's word'." Or this way: "In the beginning was the info , and the info was with god, and the info was god" or this way: (he seems to be up on Marshall McLuhan ;-): "In the beginning god made the media and the media was god and the media was the message". Or "Before the beginning was 'The' or 'That' (no nouns or verbs, only

7. Theon Of Smyrna theon of smyrna (lived lived c. AD 130). Greek astronomer and mathematician.In his celestial mechanics, the planets, Sun, Moon, and http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/T/Theon/1.html

Theon of Smyrna (lived lived c. AD 130) Greek astronomer and mathematician. In his celestial mechanics, the planets, Sun, Moon, and the sphere of fixed stars were all set at intervals congruent with an octave. His only surviving work, Expositio rerum mathematicarum ad legendum Platoneum utilium, is in two manuscripts, one on mathematics and one on astronomy and astrology. Theon collated and organized discoveries made by his predecessors, and articulated the interrelationships between arithmetic, geometry, music, and astronomy. The section on mathematics deals with prime, geometrical, and other numbers in the Pythagorean pantheon; the section on music considers instrumental music, mathematical relations between musical intervals, and the harmony of the universe. The astronomical section is by far the most important. Theon puts forward what was then known about conjunctions, eclipses, occultations, and transits. Other subjects covered include descriptions of eccentric and epicyclic orbits, and estimates of the greatest arcs of Mercury and Venus from the Sun.

8. "One Is One For Evermore: Theon Of Smyrna" By I. M. Oderberg of view may be summed up by comparing Euclid s propositions, which are logical butdisplay no philosophical basis, with the texts of theon of smyrna which are http://www.theosophy-nw.org/theosnw/world/med/my-imo7.htm

One Is One For Evermore By I. M. Oderberg Whenever we may think of arithmetic and other subjects dealing with figures, we tend to remember most our early struggles in school with geometry based on Euclid's Elements. But among the eminent mathematicians in Greece, the Pythagoreans took an approach very different from his. For them, mathematics had a connection with philosophy; there was a mystical tone in their work similar to that in Oriental thought. The followers of Pythagoras were indeed meticulous in their thinking with figures and their empirical work with them, but their precise mathematical speculation was not severed from the depth of metaphysical concepts. The profound difference between these two points of view may be summed up by comparing Euclid's propositions, which are logical but display no philosophical basis, with the texts of Theon of Smyrna which are in a direct line from the older Pythagoreans. The latter proceeded from principles or a priori established laws accompanied with simple demonstrations for verification and contemplation, but always using these as a means, for philosophizing about the nature of the Universe." [See p. xi, Theon of Smyrna: Mathematics Useful for Understanding Plato , by Theon of Smyrna, translated by Robert and Deborah Lawlor from the 1892 Greek/French edition of J. Dupuis (Secret Doctrine Reference Series, Wizards Bookshelf); the notes by J. Dupuis are invaluable, as also the translators' introduction and the publisher's glossary and note. The index and end-papers are of assistance, the latter showing a) a map of the ancient sites in Greece and Magna Graecia, and b) a table of five of the chief foreign alphabets.]

9. Theon_of_Smyrna Biography of theon of smyrna (70135) theon of smyrna. Born about 70 Little is known of theon of smyrna's life. He was called 'the old Theon' by Theon of Alexandria and 'Theon the http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Theon_of_Smyrna.html

Theon of Smyrna Born: about 70 Died: about 135 Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Little is known of Theon of Smyrna 's life. He was called 'the old Theon' by Theon of Alexandria and 'Theon the mathematician' by Ptolemy . The date of his birth is little better than a guess, but we do have some firm data about dates in his life. We know that he was making astronomical observations of Mercury and Venus between 127 and 132 since Ptolemy lists four observations which Theon made in 127, 129, 130 and 132. From these observations Theon made estimates of the greatest angular distance that Mercury and Venus can reach from the Sun. The style of his bust, dedicated by his son 'Theon the priest', gives us the date of his death to within 10 years and it is placed within the period 130-140 (hence our midpoint guess of 135). Theon's most important work is Expositio rerum mathematicarum ad legendum Platonem utilium. This work is a handbook for philosophy students to show how prime numbers , geometrical numbers such as squares, progressions, music and astronomy are interrelated. Its rather curious title means that it was intended as an introduction to a study of the works of

10. "Pythagoras' Contribution" By I. M. Oderberg material in Dr. Guthrie s book and Fideler s introduction, but a good note on whichto close is the excerpt from theon of smyrna, a second century Pythagorean http://www.theosophy-nw.org/theosnw/world/med/rel-imo2.htm

Pythagoras' Contribution By I. M. Oderberg The stream of an ancient wisdom flows out of a remote antiquity. At times traces of its existence are observable while at others, when dogmatism prevails, the stream runs underground, its treasures in texts or fragments preserved in old cultures for future mankinds. In eras barren of spirituality, solitary individuals emerge out of the darkness like beacons. One whose light has endured for millennia was Pythagoras, the Greek philosopher of the sixth century BC, best known in our school days as a mathematician and formulator of the theorem of the right-angled triangle. There was, however, another side to his teachings: that involving the development and training of character. While we do not have any of his own writings, those of his immediate students and later followers testify to the quality of his life and teaching that survived his personality. Plato writes, for example, that there is no record of Homer presiding, like Pythagoras, over a band of intimate disciples who loved him for the inspiration of his society and . . . the way of life which the Pythagoreans called after their founder and which to this day distinguishes them from the rest of the world . . . The Republic Book X, 600a, Cornford translation

11. Theon My channel is a greater development of the Earthly Theon, called "One". One is not the original larger article about theon of smyrna and The Lost Tables of the Magi http://www.old-mage.com/channels/theon.htm

12. Theon Of Smyrna theon of smyrna, in the form of a channel, describes Genesis beforethe beginning and the evolution of human thought. theon of smyrna. http://old-mage.com/channels/theon02.htm

Theon of Smyrna Theon of Smyrna, was a student of Pythagorus. His book, "Math Useful in Understanding Plato" is one of the few records we have left of the way numbers were used by the Greeks. In particular he recorded the tetractys , which represented everything representable to the Greeks. repersentable represent What was before beginning is important Theon of Smyrna (a channel ) has explained the first part of Genesis (and numbers) to me (Harold) by thinking differently (he must have used a Mac;-) and going to "before the beginning". He said it several different ways so I could understand. The beginning of perception: iaod "Before the beginning, human's existence was beyond all words Then a descriptor arose and it was god and it was a word and it was called 'the builder's word'." Or this way: "In the beginning was the info , and the info was with god, and the info was god" or this way: (he seems to be up on Marshall McLuhan ;-): "In the beginning god made the media and the media was god and the media was the message". Or "Before the beginning was 'The' or 'That' (no nouns or verbs, only

13. [no Subject] By MANN be found at http//wwwgroups.dcs.st-and.ac.uk./ ~history/Mathematicians/Theon_of_Smyrna. html 2 the 4th century, while theon of smyrna lived probably in the 2nd http://mathforum.com/epigone/math-history-list/praykhixple

[no subject] by MANN reply to this message post a message on a new topic Back to math-history-list Subject: [no subject] Author: MANN@vms.huji.ac.il Date: http://www-groups.dcs.st-and.ac.uk./~history/Mathematicians/Theon_of_Smyrna.html http://users.hol.gr/~xpolakis/ Actually, Theon of Alexandria was the second one, living in the 4th century, while Theon of Smyrna lived probably in the 2nd century (see e.g. Heath), so the (2) remains unexplained. Avinoam Mann The Math Forum

14. Theon fractions. See Math, and a larger article about theon of smyrnaand The Lost Tables of the Magi. About Harold s Channels. ©2001 http://old-mage.com/channels/theon.htm

Theon ...is, of course, one of the early mathematical thinkers from Greeco-Roman times. My channel is a greater development of the Earthly Theon, called "One". One is not the original one. It is the evolved one. The original one would be back sliding as Theon believes even God learns. Mathematics was studied differently and taught differently during his life in that time. Each number being separate and individual from other numbers. One (1 One) was never added to "1" to get "2" because "1" was itself. Two One (2 One) was separately existent, as was "3". One "1" was never divided, "2" was always divided. Although he will answer to Theon, he has evolved into his beloved "1". He feels that today's math is a violation of our unity in diversity. Tones and harmonics of of the "Single Thing" are closer to his idea of fractions. See: Math , and a larger article about Theon of Smyrna and The Lost Tables of the Magi About Harold's Channels ©2001 Old-Mage.com and 'Dr' Dee's/Channel 7, Rittman, OH, 44270, U.S.A.

15. Greek Index Theodorus. Theodosius. Theon of Alexandria. theon of smyrna. Thymaridas. Xenocrates. Zeno of Elea. Zeno of Sidon Simplicius. Thales. Theodosius. Theon of Alexandria. theon of smyrna http://stm21645-01.k12.fsu.edu/Greek_Index.htm

Index of Greek mathematicians Below are various lists of Greek mathematicians. Full list Mathematicans/Philosophers Mathematicians/Astronomers Mathematicians/Astronomers/Philosophers ... Later circle squarers Click on a name to go to that biography. Some History Topics about Greek mathematics. Squaring the circle Doubling the cube Trisecting an angle Greek Astronomy 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'Haitam Johann Bernoulli Cusa Franco of Liège James Gregory Lambert Leonardo Lindemann ... Search Suggestions JOC/EFR April 1999 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Indexes/Greek_index.html

16. [no Subject] By " living in the 4th century, while theon of smyrna lived probably in the 2nd century (see listed as follows Theon of Alexandria theon of smyrna (in alphabetical order http://mathforum.com/epigone/math-history-list/phesnerdche

[no subject] by " reply to this message post a message on a new topic Back to math-history-list Subject: [no subject] Author: Date: http://users.hol.gr/~xpolakis/ The Math Forum

17. The Great Astronomers - General Information About Some Astronomers F. T. Tebbutt, John theon of smyrna Tombaugh, Clyde (William) Trumpler,Robert Julius. U. Ulugh Beg, Title of Muhammad Taragay. V. Vaucouleurs http://astroinfo.port5.com/

The Great Astronomers Today A B C D ... Z A Abetti, Giorgio Adams, John Couch Adams, Walter Sydney Airy, George Biddell ... Arp, Halton Christian B Baade, Walter Babcock, Harold Delos Bailly, Jean Sylvain Baily, Francis ... Burbidge, Geoffrey C Cameron, Alastair Graham Walter Campbell, William Wallace Cannon, Annie Jump Carrington, Richard Christopher ... Curtis, Heber Doust D De la Rue, Warren De Vaucouleurs, Gerard Henri Deslandres, Henri Alexandre Dollfus, Audouin Charles ... Dyson, Frank Watson E Eddington, Arthur Stanley Edlen, Bengt Eggen, Olin Jenck Encke, Johann Franz ... Evershed, John F Field, George Brooks Flamsteed, John Fleming, Williamina Paton Stevens Fowler, William G Galileo Galle, Johann Gottfried Gamow, George Gill, David ... Greenstein, Jesse Leonard H Hall, Asaph Halley, Edmond Hanbury-Brown, Robert Hartmann, Johannes Franz ... Huygens, Christian J Jansky, Karl Guthe Janssen, (Pierre) Jules Cesar Jeans, James Hopwood Joy, Alfred Harrison K Kapteyn, Jacobus Cornelius Keeler, James Edward Kepler, Johannes Khayyam, Omar ... Kuiper, Gerard Peter L Lacaille, Nicolas Louis de Lalande, Joseph Jerome le Francois de Langley, Samuel Pierpoint Lassell, William ... Lyttleton, Raymond Arthur M Mastlin, Michael

18. Pythagoreans Theon of Smyna. theon of smyrna. The Importance Of The Quaternary Obtained By Addition Is Great In Music Because All The Harmonies Are Found In It. http://www.essenes.crosswinds.net/theonsay.html

Th eon of Smy na Theon Of Smyrna The Importance Of The Quaternary Obtained By Addition Is Great In Music Because All The Harmonies Are Found In It. 2 But It Is Not Only For This Reason That All Pythagorean-Theanoians Hold It In Highest Esteem, It Is Also Because It Seems To Symbolize The Entire Nature Of The Universe. 3 It Is For This Reason That The Formula Of Their Oath Was: I Swear By The Ones Who Have Bequeathed The Tetraktys, The Source Of Eternal Nature, Into Our Souls And Unto Future Generations. 4 The Ones Who Bestowed It Were Pythagoras And Theano, And It Has Been Said The Tetraktys Appears Indeed To Have Been Discovered By Them. 5 The First Quaternary Is The One Which We Have Just Spoken: It Is Formed By Addition Of The First Four Numbers. 6 The Second Is Formed By Multiplication, Of Even And Odd Numbers, Starting From Unity. 7 Of These Numbers, Unity Is The First, Because As We Have Said, It Is The Principle Of All The Even Numbers, The Odd Numbers And Of All The Odd-Even Numbers, And Its Essence Is Simple. 8 Next Comes Three Numbers From The Odd As Well As The Even Series.

19. Theon Of Smyrna Name Theon. Occupation From Smyrna. Son of Occupation Dates fl 130AD. Brief biography Observed Venus and Mercury in 127, 129, 130, 132. http://www.swan.ac.uk/classics/staff/ter/grst/People/TheonSmyrna.htm

Name Theon Occupation: From Smyrna Son of: Occupation: Dates fl 130 AD Brief biography Observed Venus and Mercury in 127, 129, 130, 132. Wrote a maths handbook, illustrating how arithmetic, geometry, stereometry, music and astronomy are interrelated. Context Works References G L Huxley DSB T E Rihll Last modified: 11 March 2003

20. Theon_of_Smyrna theon of smyrna. Born about 100 in (probably theon of smyrna s most importantwork is Expositio rerum mathematicarum. This work is a handbook http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/ThnfSmyr.htm

Theon of Smyrna Born: about 100 in (probably) Smyrna, (now Izmir, Turkey) Died: about 160 in Not known Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Theon of Smyrna 's most important work is Expositio rerum mathematicarum . This work is a handbook for philosophy students to show how prime numbers, geometrical numbers such as squares, progressions, music and astronomy are interrelated. The most important feature of the work is the wide range of citations of earlier sources. Its worst feature is its lack of originality. The best section of Expositio rerum mathematicarum is the astronomy section which teaches that the Earth is spherical, that mountains are negligible in height compared with the Earth etc. It includes knowledge of conjunctions, eclipses, occultations and transits. Although little is known of Theon's life, even the dates of his birth and death are little better than guesses. However we do know that he was making astronomical observations of Mercury and Venus between 127 and 132. From these observations he made estimates of the greatest angular distance Mercury and Venus can reach from the Sun. Theon also wrote commentaries on the main authorities of mathematics and astronomy. In particular he wrote an important work on

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