Extractions: (For translations, click here) "Theon of Smyrna's Tuned Universe." An unrevised paper presented at the Greco-Roman section of the 2004 Annual Meeting of AAR/SBL in San Antonio, Texas. It examines Theon's Mathematics Useful for Understanding Plato, especially the connections between mathematics, music, and astronomy. In order to limit the paper to 25 minutes, a lot of stuff was dumped in the footnotes. Cite this article in a footnote as follows: Leonard L. Thompson, "Theon of Smyrna's Tuned Universe," n.p. Online: http://www.moulting mantis.com/papers.html "Smyrna's Nemesis: The Goddess that is." An unrevised paper presented at the 2005 Upper Midwest AAR/SBL/ASOR at St. Paul, MN. An examination of coins, inscriptions, and other writings that mention Nemesis or the Nemeseis at Smyrna. The Nemeseis (usually two at Smyrna) and their cult were powerful rites and symbols for fixing Smyrna's portion in the empire and the imperial cult.
Theon_of_Smyrna Little is known of theon of smyrna s life. He was called the old Theon by Theonof Alexandria and Theon the mathematician by Ptolemy. http://homepages.compuserve.de/thweidenfeller/mathematiker/Theon_of_Smyrna.htm
Extractions: Died: about 135 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 Plato , but this is rather fanciful. As Huxley writes in [1]:-
Ptolemy Certainly this would make sense since theon of smyrna was both an observer anda mathematician who had written on astronomical topics such as conjunctions, http://zyx.org/Ptolemy.html
Extractions: Died: about 165 in Alexandria, Egypt One of the most influential Greek astronomers and geographers of his time, Ptolemy propounded the geocentric theory in a form that prevailed for 1400 years. However, of all the ancient Greek mathematicians, it is fair to say that his work has generated more discussion and argument than any other. We shall discuss the arguments below for, depending on which are correct, they portray Ptolemy in very different lights. The arguments of some historians show that Ptolemy was a mathematician of the very top rank, arguments of others show that he was no more than a superb expositor, but far worse, some even claim that he committed a crime against his fellow scientists by betraying the ethics and integrity of his profession. We know very little of Ptolemy's life. He made astronomical observations from Alexandria in Egypt during the years AD 127-41. In fact the first observation which we can date exactly was made by Ptolemy on 26 March 127 while the last was made on 2 February 141. It was claimed by Theodore Meliteniotes in around 1360 that Ptolemy was born in Hermiou (which is in Upper Egypt rather than Lower Egypt where Alexandria is situated) but since this claim first appears more than one thousand years after Ptolemy lived, it must be treated as relatively unlikely to be true. In fact there is no evidence that Ptolemy was ever anywhere other than Alexandria. His name, Claudius Ptolemy, is of course a mixture of the Greek Egyptian 'Ptolemy' and the Roman 'Claudius'. This would indicate that he was descended from a Greek family living in Egypt and that he was a citizen of Rome, which would be as a result of a Roman emperor giving that 'reward' to one of Ptolemy's ancestors.
History Of Mathematics: Greece 100); theon of smyrna (c. 125); Ptolemy (Claudius Ptolemaeus) (100178); Marinus ofTyre (c. 150); Apuleius of Madaura (Lucius Apuleius) (c. 124-c. http://aleph0.clarku.edu/~djoyce/mathhist/greece.html
History Of Mathematics: Chronology Of Mathematicians 100) *SB; Zhang Heng (78139); theon of smyrna (c. 125); Ptolemy (ClaudiusPtolemaeus) (c. 100-c. 170) *SB *MT; Marinus of Tyre (c. 150); Nehemiah (c. 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
Theon Of Smyrna Université Montpellier II theon of smyrna Theon ofSmyrna (70-135). Cette image et la biographie complète en anglais résident http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1888
Theon Of Smyrna theon of smyrna. Chronology dating according to NS Four observations of Theonrecorded in the 1 work traditionally attributed to theon of smyrna http://shot.holycross.edu/projects/episteme/textgroup?projid=tlg1724&service=epi
Texts Listed By Author theon of smyrna = tlg1724 See inventory. Title On the usefulness of mathematicsfor reading of Plato grc = tlg001 See inventory. http://shot.holycross.edu/projects/episteme/bytextgroup?service=episteme
Extractions: Abstract. Mathematician Jay Kappraff discusses a pair of tables of integers found in the Nicomachus's Introduction to Arithmetic and shows how they lead to a general theory of proportion. He shows how the system of musical proportions developed by the neo-Platonic Renaissance architects Leon Battista Alberti and Andrea Palladio, the Roman system of proportions described by Theon of Smyrna, and the Modulor of Le Corbusier are derived naturally from the Nicomachus tables. The Arithmetic of Nicomachus of Gerasa N icomachus of Gerasa (Figure 1, at left) has gained a position of importance in the history of ancient mathematics due in great measure to his Introduction to Arithmetic [1]. This book is one of the only surviving documentations of Greek number theory. Little is known about the life of Nicomachus, and the period of his life can only be estimated to lie between the middle of the first century and the middle of the second century AD, making him contemporary with Theon of Smyrna and Ptolemy. I will discuss a pair of tables of integers found in the
Extractions: Abstract. Martin Euser researches the factor root-(2N - 1) and its interesting relations between musical proportions and Pythagorean triangles. The simple scheme N +/- root-N is also interesting as a generative set of pairs of numbers. This set looks like a prototype for the generative set of pairs of numbers discussed in a previous article by the author. The findings are presented summarily and it is left to the reader to elaborate upon them. Pythagorean Triangles and Musical Proportions Martin Euser S ince writing a previous article on Sacred Geometry I have done a little research on the factor root-(2N - 1) and found some interesting relations between musical proportions and Pythagorean triangles. Furthermore, I have looked into the matter of the 'root-factor' scheme a bit further and found that the simple scheme N +/- root-N is also interesting as a generative set of pairs of numbers. This set looks like a prototype for the generative set of pairs of numbers I have discussed in a previous article. I will present these findings summarily and leave it to the reader to elaborate upon them.
Extractions: CHRONOLOGY OF MATHEMATICIANS -1100 CHOU-PEI -585 THALES OF MILETUS: DEDUCTIVE GEOMETRY PYTHAGORAS : ARITHMETIC AND GEOMETRY -450 PARMENIDES: SPHERICAL EARTH -430 DEMOCRITUS -430 PHILOLAUS: ASTRONOMY -430 HIPPOCRATES OF CHIOS: ELEMENTS -428 ARCHYTAS -420 HIPPIAS: TRISECTRIX -360 EUDOXUS: PROPORTION AND EXHAUSTION -350 MENAECHMUS: CONIC SECTIONS -350 DINOSTRATUS: QUADRATRIX -335 EUDEMUS: HISTORY OF GEOMETRY -330 AUTOLYCUS: ON THE MOVING SPHERE -320 ARISTAEUS: CONICS EUCLID : THE ELEMENTS -260 ARISTARCHUS: HELIOCENTRIC ASTRONOMY -230 ERATOSTHENES: SIEVE -225 APOLLONIUS: CONICS -212 DEATH OF ARCHIMEDES -180 DIOCLES: CISSOID -180 NICOMEDES: CONCHOID -180 HYPSICLES: 360 DEGREE CIRCLE -150 PERSEUS: SPIRES -140 HIPPARCHUS: TRIGONOMETRY -60 GEMINUS: ON THE PARALLEL POSTULATE +75 HERON OF ALEXANDRIA 100 NICOMACHUS: ARITHMETICA 100 MENELAUS: SPHERICS 125 THEON OF SMYRNA: PLATONIC MATHEMATICS PTOLEMY : THE ALMAGEST 250 DIOPHANTUS: ARITHMETICA 320 PAPPUS: MATHEMATICAL COLLECTIONS 390 THEON OF ALEXANDRIA 415 DEATH OF HYPATIA 470 TSU CH'UNG-CHI: VALUE OF PI 476 ARYABHATA 485 DEATH OF PROCLUS 520 ANTHEMIUS OF TRALLES AND ISIDORE OF MILETUS 524 DEATH OF BOETHIUS 560 EUTOCIUS: COMMENTARIES ON ARCHIMEDES 628 BRAHMA-SPHUTA-SIDDHANTA 662 BISHOP SEBOKHT: HINDU NUMERALS 735 DEATH OF BEDE 775 HINDU WORKS TRANSLATED INTO ARABIC 830 AL-KHWARIZMI: ALGEBRA 901 DEATH OF THABIT IBN - QURRA 998 DEATH OF ABU'L - WEFA 1037 DEATH OF AVICENNA 1039 DEATH OF ALHAZEN
Greek Mathematics theon of smyrna and Proclus ordered the divisions differently. Like the Pythagoreansthey placed arithmetic first, but followed it with music, then geometry http://www.perseus.tufts.edu/GreekScience/Students/Chris/GreekMath.html
Extractions: Please note: These papers were prepared for the Greek Science course taught at Tufts University by Prof. Gregory Crane in the spring of 1995. The Perseus Project does not and has not edited these student papers. We assume no responsibility over the content of these papers: we present them as is as a part of the course, not as documents in the Perseus Digital Library . We do not have contact information for the authors. Please keep that in mind while reading these papers. Chris Weinkopf Greek Mathematics April 19, 1995 Look at the comments on this paper. The Divisions The Pure and the Physical Order, Purpose, and Method Greek mathematics was premised on inductive reasoning. Whereas ancient historians sough to deduce facts from observations, the mathematicians sought to explore and discover truths working from a factual foundation. Theoretical mathematics also provided ancient philosophers with the tools of logic, which were thus employed in the pursuit of practical ends. The classical interpretation of mathematics, as well as the subdivision of the discipline into specific categories, demonstrates the Greeks' approach to the subject. A fragment of Archytus , a Pythagorean friend and contemporary of Plato, explains the Quadrivivium , the four fields into which the Pythagoreans divided mathematics: arithmetic, geometry, sphaeric (astronomy), and music. Plato classified mathematics into the same categories, but included as a separate division stereometry three-dimensional geometry between geometry and sphaeric. (The Pythagoreans considered stereometry as subfield of geometry).
MATH.DOC2 theon of smyrna and Proclus, offer different order AMGS. 1.A concerned withnumber, M with number in relation to something else http://www.perseus.tufts.edu/GreekScience/Students/Chris/Chris.html
Extractions: I. The Four Divisions a. Fragment of Archytus, Pythagorean, friend and contemporary of Plato b. Pythagorean Quadrivivium: arithmetic, geometry, sphaeric, and music c. Plato's ordering based on dimension , included Stereometry d. Theon of Smyrna and Proclus, offer different order AMGS 1.A concerned with number, M with number in relation to something else 2. G with magnitude at rest, S with magnitude in motion. Aristotle on the Exactness of the different divisions II. Aristotelian Reclassification 1. adds optics and mechanics 2. All other divisions are derived from arithmetic and geometry 3. classifies into two categories: physical (applied) and pure (theoretical) 4. The physical (applied) branches require the pure for their proof (Aris. Physics, ii.2, 194 a 8) III. Arithmetic A. Pure Theory of Numbers 1. treated only in connection w/ the geometrical form of proof, a. dots marking squares, triangles, gnomons, etc. (Pythagoreans) b. straight lines (Euclid). B. Physical applications
Extractions: The Platonic Solid The Archimedean Dual Plato's Triangle www.theplatonicsolid.com www .thearchimedeandual. com www.plato-triangle.com The online dialogues of Plato, an illustrated version of the Timaeus, Critias, and Meno, followed by an examination of the Hindi vocabulary used by Bhagavan Sri Sathya Sai Baba in his writings.
Ancient Greeks On The Moon THEON SENIOR crater 0.8S 15.4E 18 km diameter theon of smyrna (?100) AD,Mathematician. THEOPHILUS crater 11.4S 26.4E 110 km diameter http://www.mlahanas.de/Greeks/Moon1.htm
Perfect Numbers Y7 theon of smyrna (c. 125 AD) 6 and 28 only. Iamblichus (c. 325 AD) asserted thatthere is only one perfect number in each of the intervals 1, 10, 100, 1000, http://www.mathsisgoodforyou.com/topicsPages/number/perfectnoY7.htm
Extractions: A number is perfect if it is equal to (or less or more) than the sum of its aliquot parts (its factors). For example, 6 is perfect as 6=1+2+3; 12 is abundant as 12=1+2+3+4+6. Some of the discovered perfect numbers are the following: The fifth perfect number is given as in an anonymous manuscript in 1456-1461. The Pythagoreans used this term in another sense, because apparently 10 was considered by them to be a perfect number. What people thought of primes through the history Prime number (as the one defined by Aristotle
Extractions: Above Top Secret 4.0 Conspiracies in Religions Welcome to the AboveTopSecret.com conspiracy discussion board. Use this board to engage in collaborative discussion and debate on a broad range of conspiracy, extraterrestrial, secret project, government agency, and other alternative topics. Within this board, our staff will be diligent in keeping the tone and style of the boards polite and congenial. I've heard a lot about gnostic, and to me, I think its like Christianity or Catholicism but includes more of the "lost scriptures" or "lost letters" that has vital information about jesus teaching that the Chruch did not included when they created the bible, along with some other interested teaching...
List Of Scientists By Field Theon of Alexandria. Theon of Alexandria. theon of smyrna. theon of smyrna.Theophilus. Theophilus. Theophrastus. Theophrastus. Theophrastus http://www.indiana.edu/~newdsb/t.html
Extractions: Tabor, John Tacchini, Pietro Taccola, Mariano di Jacomo Tachenius, Otto Tachenius, Otto Tacquet, Andreas Tait, Peter Guthrie Tait, Peter Guthrie Takagi, Teiji Talbot, William Henry Fox Talbot, William Henry Fox Tamm, Igor Evgenievich Tammann, Gustav Heinrich Johann Apollon Tanakadate, Aikitsu Tanfilev, Gavriil Ivanovich Tanfilev, Gavriil Ivanovich Tanfilev, Gavriil Ivanovich Tannery, Jules Tannery, Paul Tarde, Jean Tarde, Jean Targioni Tozzetti, Giovanni Tarski, Alfred Tashiro, Shiro Tashiro, Shiro Tauber, Alfred Taurinus, Franz Adolph Taylor, Brook Taylor, Charles Vincent Taylor, Frank Bursley Taylor, Frederick Winslow Taylor, Geoffrey Ingram Taylor, Geoffrey Ingram Taylor, Hugh Stott Teall, Jethro Justinian Harris Teichmann, Ludwik Karol Teichmann, Ludwik Karol Teilhard de Chardin, Pierre Teilhard de Chardin, Pierre Teissier, Georges Telesio, Bernardino Ten Rhyne, Willem Ten Rhyne, Willem Tennant, Smithson Tennent, David Hilt Termier, Pierre Tesla, Nikola Tesla, Nikola Thales Thaxter, Roland Thayer, William Sydney Theaetetus Themistius Themistius Thenard, Louis Jacques
History Of Astronomy: Persons (T) theon of smyrna (c. 100 c. 160). Short biography and references (MacTutor Hist.Math.) Thiele, Thorvald Nicolai (1838-1910) http://www.astro.uni-bonn.de/~pbrosche/persons/pers_t.html
