1. Hypsicles hypsicles of alexandria wrote a treatise on regular polyhedra. He is the authorof what has been called Book XIV of Euclid s Elements, a work which deals http://www-groups.dcs.st-and.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.

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3. H Index Hurwitz, Adolf (1538*) Hutton, Charles (1955*) Hutton, James (2085*) Huygens,Christiaan (2463*) Hypatia of Alexandria (821*) hypsicles of alexandria (645) http://www-groups.dcs.st-and.ac.uk/~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

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AllRefer Channels :: Health Yellow Pages Reference Weather September 03, 2005 Medicine People Places History ... Maps Web AllRefer.com You are here : AllRefer.com Reference Encyclopedia Astronomy, Biographies ... Hypsicles of Alexandria By Alphabet : Encyclopedia A-Z H Hypsicles of Alexandria, Astronomy, Biographies Related Category: Astronomy, Biographies Hypsicles of Alexandria E z] Pronunciation Key , 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. Related Categories: People Science and Technology Science and Technology Astronomy and Space Exploration ... Biographies More articles from AllRefer Reference on Hypsicles of Alexandria SITE MAPS Encyclopedia US Gazetteer: US States A-C US States D-H US States I-L US States M ... Countries A-Z Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities. About Us Contact Us Privacy Links Directory ... Link to AllRefer.com

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16. Alexandria, City, Egypt hypsicles of alexandria hypsicles of alexandria , astronomer of ancient Greece. Some authorities place Hypsicles in the 2d http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

17. Hypsicles Of Alexandria - Columbia Encyclopedia® Article About Hypsicles Of Ale Columbia Encyclopedia® article about hypsicles of alexandria. hypsicles of alexandria.Information about hypsicles of alexandria in the Columbia http://columbia.thefreedictionary.com/Hypsicles of Alexandria

Domain='thefreedictionary.com' word='Hypsicles of Alexandria' join mailing list webmaster tools Word (phrase): Word Starts with Ends with Definition subscription: Dictionary/ thesaurus Computing dictionary Medical dictionary Legal dictionary Financial dictionary Acronyms Columbia encyclopedia Wikipedia encyclopedia Hutchinson encyclopedia Hypsicles of Alexandria 0.02 sec. Page tools Printer friendly Cite / link Email Feedback Hypsicles of Alexandria , 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. Mentioned in References in classic literature No references found No references found Columbia browser Full browser hypocaust hypochondria hypoglycemia hypophysis ... hypothyroidism Hypsicles of Alexandria Hypsilanti hyrax Hyrcania Hyrcanus ... Hypsicalotes Hypsicles of Alexandria Hypsiglena Hypsiglena torquata Hypsilanti Hypsilanti ... hypsometric tinting Word (phrase): Word Starts with Ends with Definition Free Tools: For surfers: Browser extension Word of the Day NEW!

18. History Of Mathematics Greece Diocles of Carystus (c. 180) hypsicles of alexandria (c. 150?) Hipparchus of Nicaea (c. 180c. 125) Zenodorus (c. 100 BCE?) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

19. Hypsilanti - Columbia Encyclopedia® Article About Hypsilanti hypsicles of alexandria Hypsiglena Hypsiglena torquata Hypsilanti Hypsiloid Hypsilophodon Hypsilurus Hypsipetes crassirostris http://columbia.thefreedictionary.com/Hypsilanti

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20. TMTh:: HYPSICLES OF ALEXANDRIA MATHEMATICIAN, ASTRONOMER. hypsicles of alexandria (fl. 2nd century AD)Work Hypsicles lived in Alexandria. He studied arithmetical http://www.tmth.edu.gr/en/aet/1/62.html

Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ... PHYSICISTS MATHEMATICIAN, ASTRONOMER HYPSICLES OF ALEXANDRIA (fl. 2nd century AD) Work Hypsicles lived in Alexandria. He studied arithmetical progressions, and wrote treatises on a number of mathematical and astronomical topics: "On polyhedrons": Extant. Contains eight interesting propositions on the relations between regular dodecahedrons and regular icosahedrons inscribed in the same sphere. This book is a continuation of Euclid's Elements, and is generally known as Book XIV of that work. "On the harmony of the spheres": Lost. "Polygonal numbers": Described as sums of arithmetical progressions, the ratio of which is equal to the number of sides less two of the corresponding polygonals. "On risings": Calculates the length of each day of the year in Alexandria. The ecliptic is divided into 360?. The time of rising of each constellation in the zodiac circle at Alexandria is calculated on the basis of differential tables, after the Chaldaean manner, rather than by the trigonometric tables of Hipparchus. This treatise is extremely valuable, for it represents the link between the astronomers of Chaldaea and the Hellenistic Greeks. Contact the Science Center and Technology Museum

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