21. Femail - Encyclopaedia / H / Hun / hypsicles of alexandria. hypsicles of alexandria.hpsklez. , astronomer of ancient Greece. Some authorities http://www.femail.com.au/Enc/H/Hun/Hypsicle.html

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22. PSIgate - Physical Sciences Information Gateway Search/Browse Results hypsicles of alexandria Born about 190 BC in Alexandria, Egypt Died about 120BC Previous (Chronologically) Next Biographies Index Previous http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue2.pl?limit=1075&term1=

23. Hypsicles hypsicles of alexandria. Born about 190 BC in Alexandria, Egypt Died about 120BC. hypsicles of alexandria wrote a treatise on regular polyhedra. http://www-groups.dcs.st-andrews.ac.uk/history/Mathematicians/Hypsicles.html

Hypsicles of Alexandria Born: about 190 BC in Alexandria, Egypt Died: about 120 BC Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Hypsicles of Alexandria wrote a treatise on regular polyhedra. He is the author of what has been called Book XIV of Euclid 's Elements , a work which deals with inscribing regular solids in a sphere. What little is known of Hypsicles' life is related by him in the preface to the so-called Book XIV. He writes that Basilides of Tyre came to Alexandria and there he discussed mathematics with Hypsicles' father. Hypsicles relates that his father and Basilides studied a treatise by Apollonius on a dodecahedron and an icosahedron in the same sphere and decided that Apollonius 's treatment was not satisfactory. In the so-called Book XIV Hypsicles proves some results due to Apollonius . He had clearly studied Apollonius 's tract on inscribing a dodecahedron and an icosahedron in the same sphere and clearly had, as his father and Basilides before him, found it poorly presented and Hypsicles attempts to improve on Apollonius 's treatment.

24. History Of Mathematics: Greece 180); hypsicles of alexandria (c. 150?) Hipparchus of Nicaea (c. 180c. 125);Zenodorus (c. 100 BCE?) Posidonius (c. 135-c. 51); Zeno of Sidon (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)

25. History Of Mathematics: Chronology Of Mathematicians 180) *SB *MT; hypsicles of alexandria (fl. c. 175) *SB *MT; Hipparchus of Nicaea (c.180c. 125) *MT; Umaswati (c. 150) http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html

Chronological List of Mathematicians 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 Table of Contents 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 List of Mathematicians 1700 B.C.E. Ahmes (c. 1650 B.C.E.) *MT 700 B.C.E. Baudhayana (c. 700) 600 B.C.E. 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) 500 B.C.E. 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

26. Hypsicles hypsicles of alexandria. Born about 180 BC in (possibly)Alexandria, Egypt Died about 120 BC in Not known. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Hypscls.htm

27. H Index 72) Hurewicz, Witold (92*) Hurwitz, Adolf (289*) Hutton, Charles (159) Huygens,Christiaan (2463*) Hypatia of Alexandria (201*) hypsicles of alexandria (199). http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/H.htm

28. Why Try Britannica Online? According to the mathematician hypsicles of alexandria (c. 190–120 BC) Apolloniusalso wrote “Comparison of the Dodecahedron and the Icosahedron,” on the http://www.britannica.com/eb/print?tocId=9008024&fullArticle=true

29. Search Results For Philo Of Alexandria - Encyclopædia Britannica hypsicles of alexandria University of St Andrews, Scotland Biography of thisauthor of Book XIV of Euclid s Elements dealing with inscribing regular solids http://www.britannica.com/search?query=Philo of Alexandria&fuzzy=N&ct=eb&iq=10&s

30. H Index 529*) Hurwitz, Adolf (302*) Hutton, Charles (1955*) Hutton, James (2085*) Huygens,Christiaan (2463*) Hypatia of Alexandria (821*) hypsicles of alexandria (645 http://www.gap-system.org/~history/Indexes/H.html

Names beginning with H The number of words in the biography is given in brackets. A * indicates that there is a portrait. Haar Hachette , Jean (944*) Hadamard , Jacques (2759*) Hadley , John (824*) Hahn , Hans (138*) , Jaroslav (907*) Haldane , Robert (693) Haitam , Abu Ali al- (2490*) Hall, Marshall Jr. Hall, Philip Halley , Edmond (2532*) Halmos , Paul (1328*) Halphen , George (872*) Halsted , George (1158*) Hamel , Georg (961*) Hamill , Christine (445) Hamilton, William Hamilton, William R Hamming , Richard W (582*) Hankel , Hermann (546*) Hardy, Claude Hardy, G H Harish-Chandra Harriot , Thomas (3306*) Hartley , Brian (466*) Hartree , Douglas (696*) Hasib Abu Kamil al (1012) Hasse , Helmut (1189*) Hatvani Hau , Lene (1018*) Hausdorff , Felix (1813*) Hawking , Stephen (1282*) Hay , Louise (2037*) Hayes , Ellen (1060*) Hazlett , Olive (1345*) Haytham , Abu Ali al (2490*) Heath , Thomas (822*) Heaviside , Oliver (1270*) Heawood , Percy (730*) Hecht , Daniel (117) Hecke , Erich (730*) Hedrick , Earle (501*) Heegaard , Poul (380*) Heilbronn , Hans (2122*) Heine , Eduard (268*) Heisenberg , Werner (2631*) Hellinger , Ernst (1233*) Helly , Eduard (909*) Helmholtz , Hermann von (2214*) Hemchandra , Acharya (666) Heng , Zhang (1481*) Henrici , Olaus (703*) Hensel , Kurt (252*) Heraclides of Pontus (773*) Herbrand , Jacques (376*) , Pierre (148) Hermann, Jakob

31. History Of Astronomy: What's New At This Site On September 3, 1999 hypsicles of alexandria Hypsikles von Alexandria (c. 190 BC c. 120 BC).Short biography and references L. Lane, David J. (20th c.) http://www.astro.uni-bonn.de/~pbrosche/new/new990903.html

History of Astronomy What's new History of Astronomy: What's new at this site on September 3, 1999 Some URLs have been updated. Welcome / About Site map (complete Table of Contents) updated Acknowledgements updated History of astronomy Observatories and other places Palermo , Italy Osservatorio Astronomico di Palermo Persons B Beals, Carlyle Smith (1899-1979) Very short biography Bishop, Roy (20th c.) Very short biography Borra, Ermanno Franco (20th c.) Very short biography Brown, Peter (20th c.) Very short biography Bruce, William (1833-1927) Bruce Park , Hamilton, Canada Including a very short biography with references. C Cassini, Gian Domenico [Giovanni Domenico; Jean Dominique] [Cassini I] (1625-1712) Short biography (Or see Italian version or French version or German version Chalonge, Daniel (1895-1977) Daniel Chalonge Museum , Erice, Italy Daniel Chalonge Museum (See also here International School of Astrophysics "Daniel Chalonge" Find more about Chalonge with Alta Vista Chant, Clarence Augustus (1865-1956)

32. History Of Astronomy: Persons (H) hypsicles of alexandria Hypsikles von Alexandria (c. 190 BC c. 120 BC).Short biography and references (MacTutor Hist. Math.) http://www.astro.uni-bonn.de/~pbrosche/persons/pers_h.html

History of Astronomy Persons History of Astronomy: Persons (H) Deutsche Fassung Habash al-Hasib (?-c.870) Very short biography Hadley, John (1682-1744) Short biography and references (MacTutor Hist. Math.) Very short biography Very short biography Hagen, Johann Georg (1847-1930) Very short biography and references (Or see German version Very short biography Very short biography Haiyan: see Ibn Haiyan, Jabir (?-803) Hakluyt, Richard (1552(?)-1616) Biographical data and references Hale, George Ellery Hall, Asaph (1829-1907) Very short biography (Eric Weisstein's Treasure Trove) Very short biography Haller von Hallerstein, Augustin (1703-1774) Very short biography (Or see German version Halley, Edmond Halma, Nicholas (1755-1828) Short biography From the Catholic Encyclopedia, 1913 Hamilton, Laurentine (1826-1882) Short biography Monument to the Reverend Laurentine Hamilton at Lick Observatory (See also here Hamilton, William Rowan (1805-1865) Short biography and references (MacTutor Hist. Math.)

33. The Helenistic Period Of Greek Mathematics hypsicles of alexandria (fl. 175 BC) added a fourteenth book to the Elements onregular solids. In short, it concerns the comparison of the volumes of the http://www.math.tamu.edu/~don.allen/history/helnistc/helnistc.html

Next: About this document Aristarchus of Samos (ca. 310-230 BC) He was very knowledgeable in all sciences, especially astronomy and mathematics. He discovered an improved sundial, with a concave hemispherical circle. He was the first to formulate the Copernican hypotheses and is sometimes called the Ancient Copernican He countered the nonparallax objection by asserting that the stars to be so far distant that parallax was not measurable. Wrote On the Sizes and Distances of the Sun and Moon . In it he observed that when the moon is half full, the angle between the lines of sight to the sun and the moon is less than a right angle by 1/30 of a quadrant. From this he concluded that the distance from the earth to the sun is more than 18 but less than 20 times the distance from the earth to the moon. (Actual ). Without trigonometry he was aware of and used the fact that He also made other trigonometic estimates without trigonometry. ARCHIMEDES Apollonius of Perga (ca 262 BC - 190 BC) Apollonius was born in Perga in Pamphilia (now Turkey), but was possibly educated in Alexandria where he spent some time teaching. Very little is known of his life. He seems to have felt himself a rival of Archimedes. In any event he worked on similar problems. He was known as the ``great geometer" because of his work on conics.

34. Huppim To I. Alphabetic Index To Entries. The Columbia Encyclopedia, Sixth Editi hypochondria. hypoglycemia. hypophysis. hypostyle. hypothalamus. hypothyroidism.hypsicles of alexandria. Hypsilanti. hyrax. Hyrcania. Hyrcanus. hyssop. Hystaspes http://bartelby.org/65/index116.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Huppim to I Huppim Hur Hurai Hurd, Douglas

35. Astronomy: Page 1. Index To Biographical Entries. The Columbia Encyclopedia, Six Hubble, Edwin Powell. Huggins, Sir William. hypsicles of alexandria. Janssen, PierreJules César. Jeans, Sir James Hopwood. Kapteyn, Jacobus Cornelius. http://bartelby.org/65/cat/bio/astrobio1.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia Index to Biographical Entries PREVIOUS ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Astronomy Abbot, Charles Greeley

36. Astrology Original Sources - © Dr Shepherd Simpson On the Ascension of Stars hypsicles of alexandria. c 190 120 BC. No knownfree-text version on the internet and I can not find if the work is in fact http://www.geocities.com/astrologysources/

Original Sources Texts of Astrology Definition: The evidence we now have for the development of the astrological system comes from relatively few ancient sources. We know - from references to them that have survived - that once there were many more, but these have now been lost. Below is a list of the main source material, of which very few of the key works are freely available in translated form on the Internet. In contrast, web pages of the opinions based on these original sources are legion... Babylonian: The Venus Tablets Of Ammizaduga: [Fragment translated] Cuneiform observation and omen tablets - possibly copies of originals from the reign of Ammizaduga [probably 1646 - 1626 BC], the penultimate king of the First Babylonian Dynasty. No known free-text version on the internet. The Mul.Apin Tablets: [Full text - as web pages - with commentary] The most comprehensive surviving Babylonian star and constellation catalogue from before 600 BC. The Omen Tablets of Babylonia: [Full text - as jpg pages - with list and index] A comprehensive listing of Babylonian Omen astrology before 550 BC.

37. Notes On The Logarithmic Spiral The socalled book XIV of Euclid s Elements, written by hypsicles of alexandriabetween 200 and 100 BC, contains some results concerning the section. http://www.spirasolaris.ca/rcarchibald.html

DYNAMIC SYMMETRY, Jay Hambidge, Yale University Press, New Haven 1920:16-18 APPENDIX AND NOTES NOTE V NOTES ON THE LOGARITHMIC SPIRAL, GOLDEN SECTION AND THE FIBONACCI SERIES by R. C. Archibald I. The Logarithmic Spiral. The first discussions of this spiral occur in letters written by Descartes to Mersenne in 1638, and are based upon the consideration of a curve cutting radii vectores (drawn from a certain fixed point O ), under a constant angle, F Descartes made the very remarkable discovery that if B and C are two points on the curve its length from O to B is to the radius vector OB as the length of the curve from O to C is to OC whence s ap where s is the length measured along the curve from the pole to the point ( p, 01 , and a = sec F This leads to the polar equation (I) p = ke c F where k is a constant and c = cot a . The pole O is an asymptotic point. The pole and any two points on the spiral determine the curve; for the bisector of the angle made by the radii vectores is a mean proportional between radii. If c = 1 the ratio of two radii vectores corresponds to a number, and the angle between them to its logarithm; whence the name of the curve.

38. Hypsicles Of Alexandria: Information From Answers.com manysided Definition, Synonyms and Much More From Answers.comCarl Gustav Carus hypsicles of alexandria (Ancient Greek astronomer).Lola Ridge (author), Ogneslav Kostovic Stepanovic various borax http://www.answers.com/topic/hypsicles-of-alexandria

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Encyclopedia Or search: - The Web - Images - News - Blogs - Shopping Hypsicles of Alexandria Encyclopedia Hypsicles of Alexandria hĭp sĭklēz ) , astronomer of ancient Greece. Some authorities place Hypsicles in the 2d cent. B.C. and some in the 2d cent. A.D. The 14th and 15th books of Euclid's Elements, which discuss regular many-sided solids, are attributed to him. His other works include a short treatise on astronomy that introduces the division of the circle into multiples of sixty. Encyclopedia information about Hypsicles of Alexandria The Columbia Electronic Encyclopedia, Sixth Edition www.cc.columbia.edu/cu/cup/ More from Encyclopedia Your Ad Here Jump to: Encyclopedia Or search: - The Web - Images - News - Blogs - Shopping Send this page Print this page Link to this page Tell me about: Home About Tell a Friend Buzz ... Site Map

39. List Of Scientists By Field Translate this page Hero of Alexandria. Hero of Alexandria. Hero of Alexandria Hypatia. Hypatia.hypsicles of alexandria. hypsicles of alexandria. Hyrtl, Joseph http://www.indiana.edu/~newdsb/h.html

Haak, Theodore Haas, Arthur Erich Haas, Arthur Erich Haas, Wander Johannes de Haast, Johann Franz Julius von Haber, Fritz Haberlandt, Gottlieb Hachette, Jean Nicolas Pierre Hachette, Jean Nicolas Pierre Hachette, Jean Nicolas Pierre Hadamard, Jacques Hadfield, Robert Abbott Hadfield, Robert Abbott Hadley, John Hadley, John Hadorn, Ernst Haeckel, Ernst Heinrich Philipp August Haffkine, Waldemar Mordecai Wolfe Hague, Arnold Hahn, Otto Hahn, Otto Hahnemann, Christian Friedrich Samuel Hahnemann, Christian Friedrich Samuel Haidinger, Wilhelm Karl Hakluyt, Richard Hakluyt, Richard Haldane, John Burdon Sanderson Haldane, John Burdon Sanderson Haldane, John Scott Haldane, Richard Burdon Hale, George Ellery Hale, William Hales, Stephen Hales, Stephen Hall, Asaph Hall, Charles Martin Hall, Edwin Herbert Hall, Granville Stanley Hall, Granville Stanley Hall, James Hall, James Hall, Marshall Hall, Marshall Hall, Sir James Hall, Sir James Haller, Albrecht von Haller, Albrecht von Haller, Albrecht von Halley, Edmond Halley, Edmond Halley, Edmond Halliburton, William Dobinson Halliburton, William Dobinson

40. New Dictionary Of Scientific Biography hypsicles of alexandria Ibr?h?m Ibn Sin?n Ibn Th?bit Ibn Qurra Idelson, NaumIlich Innes, Robert Thorburn Ayton In?, Tadataka J?bir Ibn Afla? alIshb?l?, http://www.indiana.edu/~newdsb/astor.html

Make Suggestions Astronomical Sciences Abbe, Cleveland Abetti, Antonio Abney, William de Wiveleslie Abraham Bar ?iyya Ha-Nasi Ab?'l-Waf al-B?zj?n?, Mu?ammad Ibn Mu?ammad Ibn Ya?y? Ibn Ism?l Ibn al- ?Abb?s Acyuta Pira?i Adams, John Couch Adelard of Bath Ailly, Pierre d' Airy, George Biddell Aitken, Robert Grant Albrecht, Carl Theodor Alfonso El Sabio Alzate y Ramírez, José Antonio Anaximander Andoyer, Henri André, Charles Louis François Angelus, Johannes Ångstrüm, Anders Jonas Anthelme, Voituret Antiphon Antoniadi, Eugène M. Apian, Peter Arago, Dominique François Jean Aratus of Soli Argelander, Friedrich Wilhelm August Argoli, Andrea Aristarchus of Samos Aristotle Aristyllus Arrest, Heinrich Louis d' Asada G?ry? Autolycus of Pitane Auwers, Arthur Julius Georg Friedrich von Auzout, Adrien Baade, Wilhelm Heinrich Walter Babinet, Jacques Backlund, Jüns Oskar Bailey, Solon Irving Bailly, Jean-Sylvain Baily, Francis Banachiewicz, Thaddeus Ban? M?s? Baranzano, Giovanni Antonio

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