À§´ëÇѼöÇÐÀÚ ¸ñ·Ï in Bithynia, Anatolia Died about 100 BC Theon, Theon of Alexandria Born about335 in (possibly) Alexandria, Egypt Died about 395 theon of smyrna, Theon of http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=T
Holy Number Diagrams theon of smyrna, the second century CE author of Mathematics Useful for UnderstandingPlato, quoted the oath as sworn by the one who has bestowed the http://www.recoveredscience.com/const129holynumberdiagrams.htm
Extractions: recoveredscience .com We offer surprises about and numerals and their ancient religious uses in our e-book Ancient Creation Stories told by the Numbers by H. Peter Aleff Site Contents NUMERALS Numerals Introduction Horus Eye Fractions Creation by numerals ... Reader responses Visit our other Sections: Prime Patterns Board Games Astronomy Medicine Store Stuff Home Page Footnotes : André Pichot: La naissance de la science, Gallimard, Paris, 1991, translation consulted Die Geburt der Wissenschaft Von den Babyloniern zu den frühen Griechen, Wissenschaftliche Buchgesellschaft, Darmstadt, 1995, see subchapter: Die Zahlenmystik, pages 92 to 94. Simo Parpola: The Assyrian Tree of Life: Tracing the Origins of Jewish Monotheism and Greek Philosophy, Journal of Near Eastern Studies, Volume 52, July 1993, Number 3, pages 161-208. David R. Fideler, in his Introduction to Kenneth Sylvan Guthrie, compiler and translator: The Pythagorean Sourcebook and Library, Phanes Press, Grand Rapids Michigan , 1988, page 29.
Perceptions Of Numbers compiler and translator The Pythagorean Sourcebook and Library, Phanes Press,Grand Rapids , Michigan , 1988, page 21 bottom, quoting theon of smyrna. http://www.recoveredscience.com/const304numberviews.htm
Extractions: recoveredscience .com We offer surprises about and numerals and their ancient religious uses in our e-book Ancient Creation Stories told by the Numbers by H. Peter Aleff Site Contents NUMERALS Numerals Introduction Horus Eye Fractions Creation by numerals ... King Solomon's Pi Number perceptions Golden ratio properties Golden ratio prehistory Woman Wisdom Constant ... Reader responses Visit our other Sections: Prime Patterns Board Games Astronomy Medicine Store Stuff Home Page Erik Temple Bell: The Magic of Numbers, 1946 and 1974, edition consulted Dover, New York, 1991, pages 20 and 21. Bonnie Gold: Review of Social Constructivism as a Philosophy of Mathematics by Paul Ernest and of What is Mathematics, Really by Reuben Hersh, The American Mathematical Monthly, April 1999, pages 373 to 380. For instance, Paul Ernest in: Social Constructivism as a Philosophy of Mathematics, State University of New York Press, 1998, per Bonnie Gold in the above review, page 375. See, for instance, the biblical king Hezekiahs stamp on jar handles mentioned in Frank Moore Cross: King Hezekiahs Seal Bears Phoenician Imagery, Biblical Archaeology Review, March/April 1999, pages 42 to 45 and 60, see page 45 left.
Ancient Greeks On The Moon AD, Astronomer. THEON SENIOR crater 0.8S 15.4E 18 km diametertheon of smyrna (?100) AD, Mathematician. THEOPHILUS crater 11.4 http://www.mlahanas.de/Greeks/Moon.htm
SERENUS of theon of smyrna there appears a proposition of Serenus the philosopher, fromthe Lemmas to the effect that, if a number of rectilineal angles be subtended http://7.1911encyclopedia.org/S/SE/SERENUS.htm
Extractions: SERENUS, SAMMONICUS , Roman savant, author of a didactic medical poem, De medicina praecepta (probably incomplete). The work (1115 hexameters) contains a number of popular remedies, borrowed from Pliny and Dioscorides, and various magic formulae, amongst others the famous Abracadabra (q.v.), as a cure for fever and ague. It concludes with a description of the famous antidote of Mithradates VI. of Pontus. It was much used in the middle ages, but is of little value except for the ancient history of popular medicine. The syntax and metre are remarkably correct. It is uncertain whether the author was the famous physician and polymath, who was put to death in A.D. 212 at a banquet to which he had been invited by Caracalla, or his son, the tutor of the younger Gordian. The father, who was one of the most learned men of his age, wrote upon a variety of subjects, and possessed a library of 60,000 volumes, bequeathed to his son and handed on by the latter to Gordian. The editio princeps (ed. Sulpitius Verulanus, before 1484) is very rare; later ed. by J. G. Ackermann (Leipzig, 1786) and E. Bhrens, Poetae Latini minores, iii.; see also A. Baur, Quaesliones Sam,noniceae (Giessen, 1886); M. Schanz, Geschichte der r/imischen Literatur, iii. (1896); Teuffel, Hist. of Roman Literature (Eng. trans., 1900), 374, 4, and 383. The treatise On the Section of the Cone, though Serenus claims originality for it, is unimportant. It deals with the areas of triangular sections of right or scalene cones by planes through the vertex, finding e.g. the maximum triangular section of a right cone and the maximum triangle through the axis of a scalene cone,- and solving, in some easy cases, the problem of finding triangular sections of given area. (T. L. H.)
ESOTERICA.gr Forums! Quintius Curtius 35. Seneca 36. Silius Italicus 37. Statius 38. Suetonius 39.Tacitus 40. theon of smyrna 41. Valerius Flaccus 42. ? theon of smyrna. http://www.esoterica.gr/forums/topic.asp?TOPIC_ID=3811
History Of Astronomy: Persons (T) Math.). 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
Extractions: Posted by Just a visitor on January 16, 2003 at 10:21:21: In Reply to: Re: Isidoros and Anthemios - Great Buildings Online posted by Kevin Matthews on November 23, 1999 at 00:22:59: Dear Mr. Matthews, I would like to support what Mrs. Grigoris said about the unfortunate way in which Anthemios And Isidoros are presented. One gets a very strong impression, that those architects were of Turkish origin, after reading the biography of them presented in http://www.greatbuildings.com/architects/Isidoros_and_Anthemios.html I would like to provide you with a few references that should help you correct this:
History Of Mathematics: Chronology Of Mathematicians Gerasa (c. 100) *SB; Zhang Heng (78139); theon of smyrna (c. 125); Ptolemy(Claudius Ptolemaeus) (c. 100-c. 170) *SB *MT; Marinus of Tyre 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
Bryn Mawr Classical Review 94.03.07 Laertius Lives and Opinions of Eminent Philosophers (3.4866), Porphyry s commentaryon Ptolemy s Harmonics, and theon of smyrna s Mathematical Principles http://ccat.sas.upenn.edu/bmcr/1994/94.03.07.html
Extractions: Reviewed by Lloyd Gerson, University of Toronto. Most classicists, including those specializing in ancient philosophy, will likely know at most two facts about Thrasyllus: he was the Emperor Tiberius' astrologer and he arranged the Platonic corpus into tetralogies. Many will assume that there is not a great deal more than this to be known about him given the extant documents. For example, John Dillon's careful and thorough survey, The Middle Platonists. 80 B.C. to A.D. 220, devotes less than a page to Thrasyllus. It will also be assumed that this is not a particularly lamentable state of affairs, since Thrasyllus is likely to have been at best a minor figure in the history of Platonism. Harold Tarrant has set out to challenge these assumptions in his latest book, Thrasyllan Platonism. Tarrant believes that a careful study of the evidence reveals Thrasyllus to be a far more formidable figure than anyone has hitherto supposed. At the conclusion of his book he writes, "The influence of Thrasyllus, if my arguments have any credibility, would seem to have been immense. It falls into five main areas: philosophical influence upon (1) Neopythagoreanism, (2) Middle Platonism, and (3) Neoplatonic and early Christian thought; and influence upon Platonic interpretation down to our own times by means of (4) an arrangement of the Platonic corpus that survives and presents the material to us in a particular manner, giving an initial claim to authenticity to all that it contains and overwhelming suspicions of spuriousness to all that it does not contain, and (5) a text of Plato that Thrasyllus' interpretative hand has coloured (208)."
Lunar Republic : Craters Theon Junior. 2.3S. 15.8E. 17. ~ Of Alexandria (c. 335?c. 405?), Greek mathematicianand astronomer; son of theon of smyrna (qv). Theon Senior. 0.8S. 15.4E. 18. http://www.lunarrepublic.com/gazetteer/crater_t.shtml
Extractions: Craters (T) Craters A B C D ... Return To Gazetteer Index Common Name Lat Long Diam Origin T. Mayer Johann Tobias ~ (1723-1762), German astronomer, cartographer and mathematician; first to determine the libration of the Moon. Tacchini Pietro ~ (1838-1905), Italian astronomer; director of the observatories at Modena, Palermo and the Collegio Romano. Tacitus Cornelius ~ (c. 55-120?), Roman politician, philosopher and historian. Tacquet André ~, S.J. (1612-1660), Belgian Jesuit and mathematician; his work helped pave that way for the discovery of the calculus. Taizo Japanese male name.
Dictionary Of The History Of Ideas glasses. theon of smyrna (second century AD) claimed that Pythagorashad verified these ratios in all these circumstances. Boethius http://etext.lib.virginia.edu/cgi-local/DHI/dhi.cgi?id=dv3-32
Chapter 8 Updates - Dissections: Plane & Fancy continued fraction technique for solving the Pell equation b 2 + 1 = 2a 2 . About130 AD theon of smyrna gave the recursive formulas for a i and b i . They had http://www.cs.purdue.edu/homes/gnf/book/Booknews/ch8.html
Extractions: in , by Greg N. Frederickson Katharina Huber pointed out that the roles of x and y are reversed when reducing Fibonacci's formula to Diophantus's formula on page 73. Koji Miyazaki, Hirohisa Hioki, and Naoki Odaka pointed out a problem in the reference in the fourth and fifth lines from the bottom of page 75. It should state that Figure 8.4 closely resembles Figure 7.10, not Figure 7.5. As suggested by Puzzle 8.3, the Penta class can include identities produced using nonintegral values for p and q. This observation also applies to the Penta-penta class. There are two typos in the specification of Method 5. In the second line of step 2, the first expression should be y - q - 1 rather than z - q - 1 and the second expression should be y - x rather than z - x
CHRONOLOGY OF MATHEMATICIANS 100 NICOMACHUS ARITHMETICA. 100 MENELAUS SPHERICS. 125 theon of smyrna PLATONICMATHEMATICS. 150 PTOLEMY THE ALMAGEST. 250 DIOPHANTUS ARITHMETICA. http://users.adelphia.net/~mathhomeworkhelp/timeline.html
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
Euclid - Books I-IX As is well known, theon of smyrna (pp. 43, 44, ed. Hiller) describesthis system of numbers. The unit, being the beginning of all http://www.headmap.org/unlearn/euclid/notes/note-II10-Side.htm
Ptolemy's Biography This Theon has often been supposed to be the Platonic philosopher theon of smyrna(early second century AD, author of a book, The Mathematics Useful for http://www.chass.utoronto.ca/~ajones/ptolgeog/biography.html
Extractions: The most definite information that we have about Ptolemy's life comes from his own writings. His astronomical treatise, the Almagest , contains references to several dated observations that he says that he made of the several heavenly bodies at Alexandria in Egypt from the mid 120s to the early 140s A.D. The full list is as follows: 125 April 5, lunar eclipse (Ptolemy does not say who made this observation) 127 March 26, opposition of Saturn 132 February 2, Mercury at greatest elongation 130 December 15, opposition of Mars 132 September 25, autumnal equinox 133 May 6, lunar eclipse 133 May 17, opposition of Jupiter 133 June 3, opposition of Saturn 134 February 18, Venus at greatest elongation 134 June 4, Mercury at greatest elongation 134 October 3, Mercury at greatest elongation 134 October 20, lunar eclipse 135 February 21, opposition of Mars 135 April 5, Mercury at greatest elongation 135 October 1, altitude of moon 136 March 6, lunar eclipse 136 July 8, opposition of Saturn 136 August 31, opposition of Jupiter
Theosophy Library Online - Great Teacher Series - ALBINUS Albinus was the contemporary of theon of smyrna, who wrote a mathematical introductionto Plato, a compilation of quotations on Platonic philosophy which http://theosophy.org/tlodocs/teachers/Albinus.htm
Extractions: Plato's doctrine of Fate is something like this: all things, he says, are in Fate, but not everything is fated. For though Fate holds the rank of law, it does not decree that one person shall do this and another suffer that, for if it did, it would go on ad infinitum producing infinite things and infinite accidents associated with them. Moreover, there would be nothing in our power, and praise and blame as well as everything like that would vanish. Rather, Fate decrees that if a soul selects a life of this kind, and does certain acts, then certain things will follow upon the selection. The soul then is without a master, and it rests with itself to do or to refrain from an act: it is not forced to do this or that. Nonetheless, whatever follows from doing something is accomplished by Fate. For example, if a Paris carries off a Helen, he freely does so, but it follows that Greeks will war with Trojans for her sake. Didaskalikos XXVI ALBINUS The rise of Stoic philosophy, austere and admirable in its demanding way of life, but metaphysically limited from a Platonic perspective, eventually attracted the attention of the Academy. Whilst the Old Academy dealt with questions raised by Plato, the Middle Academy, marked by the election of Crates in 270 B.C., focussed on detailed responses to Stoic philosophy. This critical and even negative use of dialectic resulted in a steady drift towards scepticism, a reaction to all dogmatic schools which propounded specific doctrines. With the election of Carneades, who died in 128 B.C., the New Academy was rigidly sceptical; Carneades emphasized
Extractions: Interest in Pythagoras naturally led to a renewed interest in the teachings of Plato. Eudorus of Alexandria wrote commentaries on the Timaeus around Ammonius Saccas was born around 175 A.D. to Christian parents who attempted to raise him in the faith. From early childhood, however, he was repelled by the extreme dogmatism that characterized the vociferous Alexandrian Christian movement. Disgusted by the mediumistic and superstitious tendencies indulged by numerous Christian devotees, he immersed himself in the philosophic quest of the older Hellenic religion. Unlike many intellectuals of the day, Ammonius willingly worked to earn a living, and while vulgar tradition holds that the surname 'Saccas' was derived from his occupation as a sack-bearer, the name [GREEK HERE] could equally well be taken as meaning 'shield of Ammon'. His search for an understanding of the nature of things was nourished by the conviction that one must practise the truths one learns in every context if one is to fully realize them. Devotion to his studies brought him to a deep consideration of Plato's teaching, and he found there a spirit of inquiry which matched his concern to discover a universal philosophy. His persistent meditation upon these teachings opened the way for him to receive illuminated insights through dreams and visions. Hierocles aptly called him Theodidaktos
Turkey - Historical Background world, and is mentioned in Revelation. See also the 2nd cent. AD mathematiciantheon of smyrna. Part of the Ottoman (ie Turkish) Empire http://www.compapp.dcu.ie/~humphrys/FamTree/Maltass/turkey.history.html
Extractions: And in particular, Smyrna (now Izmir) in W Turkey. Smyrna, in what is now W Turkey, was one of the first Christian communities in the world, and is mentioned in Revelation . See also the 2nd cent. AD mathematician Theon of Smyrna Part of the Ottoman (i.e. Turkish) Empire from c.1425, Smyrna was for centuries a prosperous trading port to rival Constantinople. The Western powers established commercial bases there (by agreement with the Ottoman Empire) as early as the 16th century (e.g. the English government-backed Levant Company estab 1581), and many western merchants lived there with their families. For centuries Smyrna was a cosmopolitan place with a large permanent European population. The westerners, from many different countries in W Europe, tended to marry among themselves, and all the families ended up related. The Maltass family went out there from England in the mid-18th cent. Late 18th cent. - early 19th cent.
Extractions: BOULLIAU Concerning Enfranchised People . These two writings were condemned by the Inquisition. In 1649 he published at the Louvre the history of Ducas in Greek, with a Latin translation and his Notes. His works on philosophy and on mathematics include a treatise on the nature of light, presented in 1638; the translation of Theon of Smyrna, the Platonist, with his notes, which appeared in 1644; a treatise on spiral lines, in 1657. In 1663 he brought to light the treatise of Ptolemy On the Faculty of Judgment ; and some time later, a large work in folio entitled
