41. Zenodorus PDF ITUREA AND GALILEE UNDER THE FLAVIANS IN LIGHT OF JOSEPHUS AND HIS http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Zenodorus.html

Zenodorus Born: about 200 BC in Athens, Greece Died: about 140 BC in Greece Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing We know little of Zenodorus 's life but he is mentioned in the Arabic translation of Diocles On burning mirrors where it is stated [3]:- And when Zenodorus the astronomer came down to Arcadia and was introduced to us, he asked us how to find a mirror surface such that when it is placed facing the sun the rays reflected from it meet a point and thus cause burning. Toomer notes that his translation of 'when Zenodorus the astronomer came down to Arcadia and was introduced to us' could, perhaps, be translated 'when Zenodorus the astronomer came down to Arcadia and was appointed to a teaching position there'. Before the discovery of the Arabic text of Diocles On burning mirrors, Zenodorus was known to us mainly because of references to his treatise On isometric figures which is lost. There is another interesting source of information however. When Vesuvius erupted in 79 AD, Herculaneum together with Pompeii and Stabiae, was destroyed. Herculaneum was buried by a compact mass of material about 16 metres deep which preserved the city until excavations began in the 18 th century. Special conditions of humidity of the ground conserved wood, cloth, food, and in particular many papyri.

42. Austrian Literature Online - Kataloge Translate this page Autor , BAUCHHENSS, Gerhard. Jahr , 1989. Sprache , DE. Beschreibung ,zenodorus oder Nebel über Avalion . MAGesStei 3/4 , 1989/90 , 83ff . 111/10 . http://webapp.uibk.ac.at/alo/cat/?id=3576107&pos=48&type=card&phys=start

43. Josephus Flavius: The Jewish Wars. Prophetic Fulfillment Of Jewish History | His and that on the following occasion zenodorus, who had hired the house of in the administration without his advice but when zenodorus was dead, http://www.templebuilders.com/Index_josephus_book1chapter20.php

Wednesday September 07, 2005 Join Temple Builder Newsletter Christian Ministries We Host Real Player ... Hosted Christian Ministries Echo-Hawk Family Ministries Unlimited Glory Ministries Lampstand Communication Order from Amazon.com "The New Complete Works of Josephus" Is God telling you to grow up Ready to go to the next level Then Temple Builders is for you! Temple Builders book information Site map Tabernacle of Moses ... "Prophetic Defined " Josephus Flavius: The Jewish Wars THE WARS OF THE JEWS OR THE HISTORY OF THE DESTRUCTION OF JERUSALEM Book I: Chapter 20 HEROD IS CONFIRMED IN HIS KINGDOM BY CAESAR, AND CULTIVATES A FRIENDSHIP WITH THE EMPEROR BY MAGNIFICENT PRESENTS; WHILE CAESAR RETURNS HIS KINDNESS BY BESTOWING ON HIM THAT PART OF HIS KINGDOM WHICH HAD BEEN TAKEN AWAY FROM IT BY CLEOPATRA WITH THE ADDITION OF ZENODORUSS COUNTRY ALSO. moreover, of the maritime cities, Gaza 31 and Anthedon, and Joppa, and Strato’s Tower. He also made him a present of four hundred Galls [Galatians] as a guard for his body, which they had been to Cleopatra before. Nor did any thing so strongly induce Caesar to make these presents as the generosity of him that received them.

44. Hist7 zenodorus, whose eparchy Auranitis was given to Herod goes to Rome to protest zenodorus sold his eparchy to the Arabs, who claim that it belongs to them http://www.abu.nb.ca/Courses/NTIntro/InTest/Hist7.htm

The Reign of Herod the Great, King of the Jews (37-4 BCE) 1. Brief Account of Events Said to Have Occurred From 37 until 4 BCE, Testament of Moses [6] for an unflattering description of Herod's reign presented as a prophecy.) 2. Primary Sources 2.1. Reading: Josephus, Antiquities (Translated by W. Whiston) 2.2. Reading: Josephus, War (Translated by W. Whiston) Herod's Palace at Jericho The Herodion Caesarea Maritima The Burnt House ... Map of Herod's Kingdom Oil Lamp from the Herodian Period Silver denarius minted in Alexandria (Egypt) bearing the images of Anthony and Cleopatra on either side (British Museum) 3. More Detailed Account of Events Alleged to Have Occurred with Citation of Sources (*=significant apparent disagreement in sources) Date BCE Events Sources Herod plunders the wealthy of Jerusalem in order to give gifts to Antonius and others; he kills forty-five of the leading members of the Antigonus' supporters. He rewards those who supported him during the siege, in particular the Pharisee Pollion and his disciple Samaias, who advised the people during the siege to open the gates to Herod. (This same Pollion was the one who spoke during Herod's trial, and foretold that, if Herod's life was spared, Herod would one day persecute Hyrcanus and the members of the Synhedrion .) Antonius executes Antigonus in Antioch by beheading him, in order to strengthen Herod's hold on the kingship.

45. Map Of Ancient Israel - Auranitis Trachonitis, Auranitis, and a certain part of the domain of zenodorus, of robber bands under zenodorus, by the good government of the Romans, http://www.bible-history.com/geography/ancient-israel/auranitis.html

Cities of Ancient Israel Auranitis J6 on the Map. Region. Greek name of Hauran ("hollow" or "black land of basaltic rock"). An extinct volcanic plateau E of the Sea of Galilee and S of Damascus and Mt. Hermon. This region has the same boundaries as OT Bashan. The region is extremely fertile and forms a natural granary. In later Greco-Roman times Auranitis was one of the four provinces that Augustus gave to Herod the Great (c. 23 B.C.). At Herod's death in 4 B.C. , Philip (4 B.C.-A.D. 34), his son, received for a tetrarchy Galaunitis, Batanea Trachonitis , Auranitis, and a certain part of the domain of Zenodorus, or all of the country from Mount Hermon to the Yarmuk River . Subsequently it formed a part of Philip's tetrarchy. He was the son of Herod the Great and Cleopatra of Jerusalem . He was educated in Rome and administered his territories effectively and peacefully and was perhaps the ablest of the Herod dynasty. He founded the city of Caesarea Philippi near Paneas and and the sources of the Jordan River near Mount Hermon. He built the city of Bethsaida on the

46. Zenodorus turnbull.mcs.stand.ac.uk/history/References/Zenod Encyklopedie zvírat - skákavka zenodorusskákavka - zenodorus albertisi skákavka - zenodorus arcipluvii skákavka -zenodorus asper rod skákavka zenodorus Peckham Peckham, 1886 http://turnbull.mcs.st-and.ac.uk/history/Mathematicians/Zenodorus.html

Zenodorus Born: about 200 BC in Athens, Greece Died: about 140 BC in Greece Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing We know little of Zenodorus 's life but he is mentioned in the Arabic translation of Diocles On burning mirrors where it is stated [3]:- And when Zenodorus the astronomer came down to Arcadia and was introduced to us, he asked us how to find a mirror surface such that when it is placed facing the sun the rays reflected from it meet a point and thus cause burning. Toomer notes that his translation of 'when Zenodorus the astronomer came down to Arcadia and was introduced to us' could, perhaps, be translated 'when Zenodorus the astronomer came down to Arcadia and was appointed to a teaching position there'. Before the discovery of the Arabic text of Diocles On burning mirrors, Zenodorus was known to us mainly because of references to his treatise On isometric figures which is lost. There is another interesting source of information however. When Vesuvius erupted in 79 AD, Herculaneum together with Pompeii and Stabiae, was destroyed. Herculaneum was buried by a compact mass of material about 16 metres deep which preserved the city until excavations began in the 18 th century. Special conditions of humidity of the ground conserved wood, cloth, food, and in particular many papyri.

47. Guy Clark Ancient Coins And Antiquities- Roman Provincial Coins Syria, Chalkis, zenodorus, dated 32/31BC, time of Octavian, AE21x19. Octavian headrt., date before (B Pi Sigma = year 282)/zenodorus head left, RPC4774, http://www.ancient-art.com/romprov.htm

Guy Clark's Ancient Coins and Antiquities Roman Provincial Coins Last update: 23 August 2005 Macedonia, Gaius Publilius, Quaestor, after 146BC, AE21. Athena head rt./Bull feeding rt., BMC76var (has legend of BMC75). Near centered, nice portrait and bull, most legend clear, black patina, about Very Fine....$95 Photo Bithynia, Nikaia, C. Papirius Carbo, 62-65 BC, AE23 (7.20g). Dionysos head rt./Roma seated left with Nike and spear, year 224, SNG von Aulock 532. Centered, dark brown patina, some legend weak, clear designs, attractive, SCARCE, Fine+....$85 Photo Crete, Knossos(?), L. Lollius, ca 1st Century BC, AE28. Artemis Diktynna head rt./Stag stands rt., L LOL I VS, RPC909. Near centered on large flan, overstruck on unidentified bronze so there are some areas of slight flatness and garbling but not bad, clear portrait, stag and most of rev. legends, brown patina, the exact location of the mint for these is unknown but supposed to be Knossos, RARE, Very Fine....$475 Photo Phoenicia, Aradus, Marc Antony, ca 38/37 BC, AE18. Antony head rt./Bull gallops left, CWM in exergue, RPC I, 4466sim. Centered on slightly small thick flan, nice clear portrait and rev., olive green patina, RARE, about Very Fine....$150 Photo Corinth, Augustus, 27BC-AD14, AE20. Emperor head rt./Caius and Lucius heads face to face, RPC1136. Obv. centered a little high crowding the top of his head, rev. nearly centered, some legend weak, black patina, overall decent with clear portraits, SCARCE, Fine+....$175

48. CATHOLIC ENCYCLOPEDIA: Gospel Of Saint Luke A certain zenodorus took on lease the possessions of Lysanias, 23 BC, Another tetrarchy sliced off from the dominions of zenodorus lay to the east http://www.newadvent.org/cathen/09420a.htm

Home Encyclopedia Summa Fathers ... L > Gospel of Saint Luke A B C D ... Z Gospel of Saint Luke The subject will be treated under the following heads: I. Biography of Saint Luke II.Authenticity of the Gospel III. Integrity of the Gospel IV. Purpose and Contents ... X. Saint Luke and Josephus I. BIOGRAPHY OF SAINT LUKE The name Lucas (Luke) is probably an abbreviation from Lucanus, like Annas from Ananus, Apollos from Apollonius, Artemas from Artemidorus, Demas from Demetrius, etc. (Schanz, "Evang. des heiligen Lucas", 1, 2; Lightfoot on "Col.", iv, 14; Plummer, "St. Luke", introd.) The word Lucas seems to have been unknown before the Christian Era; but Lucanus is common in inscriptions, and is found at the beginning and end of the Gospel in some Old Latin manuscripts (ibid.). It is generally held that St. Luke was a native of Antioch. Eusebius (Hist. Eccl. III, iv, 6) has: Loukas de to men genos on ton ap Antiocheias, ten episteuen iatros, ta pleista suggegonos to Paulo, kai rots laipois de ou parergos ton apostolon homilnkos "Lucas vero domo Antiochenus, arte medicus, qui et cum Paulo diu conjunctissime vixit, et cum reliquis Apostolis studiose versatus est."

49. Pythagoras Database Zoeken Trefwoorden, zenodorus. Er zijn is 1 artikel dat aan deze criteria voldoet.100% oktober 1997, Het spiegelingsprincipe, door Fransje Akveld http://pythwww.math.leidenuniv.nl/mmmcms/admin/intern/zoeken.php?trefwoord=Zenod

50. Iturea grandson of Herod the Great; and finally the territory of zenodorus, Augustus joined a portion of the territory of zenodorus to the territory of the http://www.ccel.org/s/schaff/encyc/encyc06/htm/iii.xlix.htm

ITHACIUS CLARUS. See P RISCILLIAN , P RISCILLIANISTS ITUREA: A region named in Luke iii. 1 . The name of a people, "the Itureans," is older than "Iturea" as the name of a region, and is to be connected with the Jetur of Gen. xxv. 15 , a son of Ishmael denoting a nomadic stock of the Syro-Arabian desert, whose home, according to the Genesis passage, was in the neighborhood of Teima on the western border of Najd, between Medina and the oasis of Jauf. I Chron. v. 18-22 tells of a victorious campaign of the Hebrews of the East-Jordan land against Jetur and other nomads in pre-exilic times, which shows that Jetur must have changed its place of abode to the neighborhood of the Jabbok; but the mention in Luke iii. 1 can have nothing to do with this passage. Aristobulus I. (105-104 B.C. ) fought the Itureans and annexed part of their territory (Josephus, Ant. XIII., xi. 3), and Strabo (XVI., ii. 10, 18) in Roman times locates them on the plain of Massyas (Marsyas) between Laodicea and Chalcis, i.e., in C?le-Syria (q.v.), and he is corroborated by an inscription of Quirinius (Mommsen in Ephemeris epigraphica

51. Israel Antiquities Authority - Articles was turned over to Cleopatra, who leased it out to zenodorus the Ituraean . rather in the territory of zenodorus , near the place called Paniun http://www.antiquities.org.il/article_Item_eng.asp?sec_id=36&subj_id=70&id=124&m

52. Israel Antiquities Authority - Gallery Of Sites And Finds was turned over to Cleopatra, who leased it out to zenodorus the Ituraean . rather in the territory of zenodorus , near the place called Paniun. http://www.antiquities.org.il/site_Item_eng.asp?id=58

53. Euclid - Books I-IX Lastly, the “foursided triangle,” called by zenodorus the As Pappuswrote on zenodorus work in which the term occurred44 , Pappus may be http://www.headmap.org/unlearn/euclid/before/o-commentators.htm

@import url(../../../ul-css/3-col-nn4-new-main.css); the teS Euclids elements BOOKS I-IX translated by T.L. Heath BACKGROUND euclid and the traditions about him. euclid's other works. greek commentators on the elements ... modern algebraic interpretations [see also: equations - Diophantus; conics - Appolonius] HEADMAP home unlearning EUCLID BOOK I BOOK II BOOK III BOOK IV ... BOOK IX OVERVIEW book 1, triangles book 2, quadratics books 3 and 4, circles book 5, theory of proportion book 6, geometry and the theory of proportion books 7, 8 and 9 ,number theory GEOMETRICAL ALGEBRA book II identities gemetrical solution of quadratics application of areas transformation of areas ... Book V notes Book VII notes Book VIII notes Book IX notes [p. 19] CHAPTER III. GREEK COMMENTATORS ON THE ELEMENTS OTHER THAN PROCLUS. That there was no lack of commentaries on the Elements before the time of Proclus is evident from the terms in which Proclus refers to them; and he leaves us in equally little doubt as to the value which, in his opinion, the generality of them possessed. Thus he says in one place (at the end of his second prologue) “Before making a beginning with the investigation of details, I warn those who may read me not to expect from me the things which have been dinned into our ears

54. Gospel Of Saint Luke The Subject Will Be Treated Under The A certain zenodorus took on lease the possessions of Lysanias, 23 BC, On thedeath of zenodorus in 20 BC, Ulatha and Panias, the territories over which http://www.ewtn.com/library/SCRIPTUR/09420A.TXT

55. Ancient Imports - Lot Info: #8596 VF/F Lysanias, Son Of Ptolemy, Tetrarch Of Cha His small territory was then leased by zenodorus and was later given by Caesarto Herod Philip. The monogram countermark is no doubt of zenodorus. http://www.ancientimports.com/cgi-bin/lotinfo.pl?id=8596

56. Zenodorus PDF The Hellenistic Period http://www.mygoinfo.com/index.php/Zenodorus

MyGoInfo mygo.com Content from Wikipedia Find MyGoInfo Home MyGo.com Printable version Zenodorus From Wikipedia, the free encyclopedia. Wikipedia does not have an article with this exact name. Start the Zenodorus article Search for Zenodorus in other articles. Look for Zenodorus in Wiktionary, our sister dictionary project. Look for Zenodorus in the Commons, our repository for free images, music, sound, and video. If you have created this page in the past few minutes and it has not yet appeared, it may not be visible due to a delay in updating the database. Try purge , otherwise please wait and check again later before attempting to recreate the page. If you created an article under this title previously, it may have been deleted. See candidates for speedy deletion for possible reasons. Retrieved from " http://www.mygoinfo.com/index.php/Zenodorus All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia Powered by MediaWiki

57. Isoperimetric Problem -- From MathWorld zenodorus proved that the area of the circle is larger than that of any polygonhaving the same perimeter, but the problem was not rigorously solved until http://mathworld.wolfram.com/IsoperimetricProblem.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Calculus and Analysis Calculus of Variations Isoperimetric Problem Find a closed plane curve of a given perimeter which encloses the greatest area . The solution is a circle . If the class of curves to be considered is limited to smooth curves, the isoperimetric problem can be stated symbolically as follows: find an arc with parametric equations for such that (where no further intersections occur) constrained by such that is a maximum Zenodorus proved that the area of the circle is larger than that of any polygon having the same perimeter , but the problem was not rigorously solved until Steiner published several proofs in 1841 (Wells 1991). SEE ALSO: Circle Dido's Problem Double Bubble Isoperimetric Quotient ... [Pages Linking Here] REFERENCES: Borwein, J.and Bailey, D. Mathematics by Experiment: Plausible Reasoning in the 21st Century.

58. DSpace At Rice University: Items For Author Items for Author zenodorus in All of DSpace Date of Issue, Title, Authors.23Oct-2001, Site of Colossus, zenodorus http://dspace.rice.edu/items-by-author?author=Zenodorus

59. Malter Galleries Past Auctions ZHNODWPOY TETPAPXOY KAI APXIEPEWS, bare head of zenodorus lt. SGI 5899. VF.zenodorus was the son of Lysanias, who was put to death by Marc Antony. http://www.maltergalleries.com/archives/auction04/nov2004/page1.html

Auction Home Terms Prices Realized - Page 1 - Page 2 Page 1 SUNDAY, NOVEMBER 14TH 2004 FINE ANCIENT GREEK, ROMAN, EGYPTIAN AND NEAR EASTERN ANTIQUITIES, COINS AND RELATED LITERATURE. Celtic 501. English Celtic, the Durotriges, Billon Stater. c 60 BC - 20 AD. 3.32g. Disintegrated face right. / Disintegrated horse right. S. 60. VF. $40 view item 502. Pannonia. c.250 BC. AR Scyphate Drachm in imitation of issues struck in the name of Philip III of Macedon. 2.71g. Stylized head of Herakles rt., wearing lion's skin. / Zeus seated lt., holding an eagle and sceptre; garbled legends, dot borders. See Dessewffy, No. 534, Group XXVIII. VF for type. Obverse struck with worn die. Nicer than most. $75 view item Danube Region, 3 rd FIL F below. Choice VF and an interesting issue combining an obverse of Alexander the Great types with a reverse of Philip II. $150 view item 504. Danube Region, 3 rd view item Sicily 505. Gela. 490/485 - 480/475 BC. AR Didrachm. 8.27g. Nude horseman galloping right, brandishing a spear overhead / Forepart of man-headed bull right. SNG ANS 6. Near VF. $150 view item 506. -, AR Litra. 0.78gc. 465 - 450 BC, Bridled horse walking right, wreath above. /

60. Aristotle And Greek Mathematics: A Supplement To Aristotle And Mathematics the greatest area for a given circumference, (possibly Posterior Analyticsi.10, possibly De caelo ii.4; proved by zenodorus, 2nd century BCE). http://plato.stanford.edu/entries/aristotle-mathematics/supplement4.html

Stanford Encyclopedia of Philosophy Supplement to Aristotle and Mathematics Citation Information Aristotle and Greek Mathematics This supplement provides some general indications of Aristotle's awareness and participation in mathematical activities of his time. Greek mathematics in Aristotle's Works Here are twenty-five of his favorite propositions (the list is not exhaustive). Where a proposition occurs in Euclid's Elements , the number is given, * indicates that we can reconstruct from what Aristotle says a proof different from that found in Euclid). Where the attribution is in doubt, I cite the scholar who endorses it. In many cases, the theorem is inferred from the context. In a given circle equal chords form equal angles with the circumference of the circle ( Prior Analytics i.24; not at all Euclidean in conception) The angles at the base of an isosceles triangle are equal ( Prior Analytics i.24; Eucl. i.5*). The angles about a point are two right angles ( Metaphysics ix 9; Eucl. follows from i def. 10). If two straight-lines are parallel and a straight-line intersects them, the interior angle is equal to the exterior angle (

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