1. AllRefer Encyclopedia - Hypsicles Of Alexandria (Astronomy, Biographies) - Encyc AllRefer.com reference and encyclopedia resource provides complete information on hypsicles of alexandria, Astronomy, Biographies. Includes related research links. Astronomy, Biographies hypsicles of alexandria. By Alphabet Encyclopedia AZ H. Hypsicles of hypsicles of alexandriahip´siklEz Pronunciation Key, astronomer of ancient Greece http://reference.allrefer.com/encyclopedia/H/Hypsicle.html

AllRefer Channels :: Health Yellow Pages Reference Weather SEARCH : in Reference May 31, 2004 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. Encyclopedia U com Check out around 175,000 brief encyclopedia articles on almost all topics. Related Categories: People Science and Technology Science and Technology Astronomy and Space Exploration ... Biographies More articles from AllRefer Reference on Hypsicles of Alexandria Encyclopedia U com Check out around 175,000 brief encyclopedia articles on almost all topics. 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.

2. The Helenistic Period Of Greek Mathematics in Perga in Pamphilia (now Turkey), but was possibly educated in Alexandria where he spent some time teaching hypsicles of alexandria ( fl. 175 BC) added a fourteenth book to 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.

3. History Of Mathematics: Chronology Of Mathematicians c. 180) *SB *MT; hypsicles of alexandria (fl. c. 175) *SB *MT; Hipparchus ofNicaea (c. 180c. 125) *MT; Umaswati (c. 150) 100 BCE. Zenodorus (c. 100 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

4. Astrology Sources - © Dr Shepherd Simpson On the Ascension of Starshypsicles of alexandria. c 190 to 120 BC Star catalogue from books vii and viii, only. Claudius Ptolemy of Alexandria. c 130 170 AD 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 to 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.

5. Hypsicles hypsicles of alexandria. Born about 190 BC in Alexandria, Egypt Died about120 BC. hypsicles of alexandria wrote a treatise on regular polyhedra. http://www-gap.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 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.

6. Hypsicles Of Alexandria Search Biographies Bio search tips hypsicles of alexandria Pronunciation Key. hypsicles of alexandria , astronomer of ancient Greece http://www.teachervision.com/ce6/people/A0824784.html

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... D-Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips Encyclopedia Hypsicles of Alexandria E z] Pronunciation Key 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. The Columbia Electronic Encyclopedia, hypothyroidism Hypsilanti Related content from HighBeam Research on: Hypsicles of Alexandria The rise of the Olympic village Athens - its Classical past and Olympic present aside - has had an undistinguished history, says Martin Gayford (The Sunday Telegraph) The Musaeum of Alexandria and the formation of the 'Museum' in eighteenth-century France. (The Art Bulletin) BY RICHARD INGERSOLL.(Library of Alexandria)

7. 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.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 (191*) Hahn , Hans (138*) , Jaroslav (907*) Haitam , Abu Ali al- (2490*) Hall, Marshall Jr. Hall, Philip Halley , Edmond (2532*) Halmos , Paul (1328*) Halphen , George (872*) Halsted , George (299*) 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 (345*) 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*) Heng , Zhang (1481*) Henrici , Olaus (117*) Hensel , Kurt (252*) Heraclides of Pontus (773*) Herbrand , Jacques (376*) , Pierre (148) Hermann , Jakob (267*) Hermann of Reichenau Hermite , Charles (1849*) Heron of Alexandria (2275) Herschel, Caroline

8. Hypsicles Of Alexandria 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 Hun http://www.slider.com/enc/26000/Hypsicles_of_Alexandria.htm

9. Hypsicles Of Alexandria. The Columbia Encyclopedia, Sixth Edition. 2001 2001. hypsicles of alexandria. (h p´s kl z) (KEY) , astronomer of ancient Greece.Some authorities place Hypsicles in the 2d cent. BC and some in the 2d cent. http://www.bartleby.com/65/hy/Hypsicle.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. Hypsicles of Alexandria (h kl z) ( KEY ) , astronomer of ancient Greece. Some authorities place Hypsicles in the 2d cent.

10. Hvar To Icel. Alphabetic Index To Entries. The Columbia Encyclopedia, Sixth Edit hypochondria. hypoglycemia. hypophysis. hypostyle. hypothalamus. hypothyroidism.hypsicles of alexandria. Hypsilanti. hyrax. Hyrcania. Hyrcanus. hyssop. Hystaspes. http://www.bartleby.com/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. Hvar Hwainan Hwaining Hwange ... Hyacinth, in Greek mythology

11. Hypsicles Biography of Hypsicles (190BC120BC) hypsicles of alexandria. Born about 190 BC in Alexandria, Egypt Main index. hypsicles of alexandria wrote a treatise on regular polyhedra 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 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.

12. History Of Mathematics: Greece Nicomedes (c. 240?) Dositheus of Alexandria (fl. c. 230) Perseus (fl 200?) Diocles of Carystus (c. 180) hypsicles of alexandria (c. 150?) Hipparchus of Nicaea (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)

13. AllRefer Encyclopedia - Encyclopedia Topics H : Hun - Hz - Reference hypochondria • hypoglycemia • hypophysis • hypostyle • hypothalamus• hypothyroidism • hypsicles of alexandria • Hypsilanti • hyrax http://reference.allrefer.com/encyclopedia/topics-a-z/H7.html

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14. TMTh:: HYPSICLES OF ALEXANDRIA MATHEMATICIAN, ASTRONOMER. hypsicles of alexandria (fl. 2nd centuryAD) 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 Technology Museum

15. Hypsicles Of Alexandria hypsicles of alexandria astronomer of ancient Greece. Some authorities place Hypsiclesin the 2d cent. hypsicles of alexandria. astronomer of ancient Greece. http://pt.slider.com/enc/26000/Hypsicles_of_Alexandria.htm

16. 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

Hypsicles of Alexandria Born: about 180 BC in (possibly) Alexandria, Egypt Died: about 120 BC in Not known Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Hypsicles wrote a treatise on regular polyhedra. He is essentially the author of Book XIV of Euclid 's Elements which deals with inscribing regular solids in a sphere. In this work 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 attempts to improve on Apollonius 's treatment. Hypsicles also wrote On the Ascension of Stars . In this work he was the first to divide the Zodiac into 360 . He says The circle of the zodiac having been divided into equal arcs, let each of the arcs be called a spatial degree, and likewise, if the time taken by the zodiac circle to return from a point to the same point is divided into equal times, let each of the times be called a temporal degree. Hypsicles considers two problems in this work. Given the ratio of the longest to the shortest day at any place, how long does it take any given sign of the zodiac to rise there?

17. 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

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 (57) Hadamard , Jacques (599*) Hadley , John (191*) Hahn , Hans (138*) Haitam , Abu Ali al' (269*) Hall, Marshall Hall, Philip Halley , Edmond (350*) Halmos , Paul (1315*) Halphen , George (70*) Halsted , George (299*) Hamill , Christine (398) Hamilton, William Hamilton, William Rowan Hamming , Richard Wesley (561*) Hankel , Hermann (94*) Hardy, Claude Hardy, Godfrey H Harish-Chandra Harriot , Thomas (498) Hartley , Brian (466*) Hartree , Douglas (436*) Hasse , Helmut (1189*) Hausdorff , Felix (345*) Hawking , Stephen (1282*) Heath , Thomas (199*) Heaviside , Oliver (1209*) Heawood , Percy (596*) Hecht , Daniel (117) Hecke , Erich (69*) Hedrick , Earle (490*) Heegaard , Poul (380*) Heilbronn , Hans (129*) Heine , Heinrich (268*) Heisenberg , Werner (621*) Hellinger , Ernst (75*) Helly , Eduard (157*) Helmholtz , Hermann von (120*) Heng , Zhang (228*) Henrici , Olaus (117*) Hensel , Kurt (252*) Herbrand , Jacques (376) , Pierre (148) Hermann, Jakob

18. ThinkQuest : Library : A Taste Of Mathematic c. 230); Perseus (fl. 30070 BCE?); Dionysodorus of Amisus (c. 200?);Diocles of Carystus (c. 180); hypsicles of alexandria (c. 150?); http://library.thinkquest.org/C006364/ENGLISH/history/historygreece.htm

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19. Hypsicles Of Alexandria hypsicles of alexandria, , astronomer of ancient Greece. Some authoritiesplace Hypsicles in the 2d cent. and some in the 2d cent. http://www.slider.com/Enc/H/Hun/Hypsicle.htm

The Web Encyclopaedia Shopping Ah‑ha ... Index The Web Encyclopaedia Shopping Ah-ha Kanoodle Findwhat Summary Top Encyclopaedia H Hun ... Website Promotion Hypsicles of Alexandria Still searching the hard way? Try the Free Slider Search Toolbar and spend less time searching!! www.trellian.com Sponsored Link , astronomer of ancient Greece. Some authorities place Hypsicles in the 2d cent. and some in the 2d cent. 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. Slider in: Espa±ol Deutsch Dansk Nederlands ... Download the FREE Slider.com Search Toolbar!

20. Hun Hyperion. hypsicles of alexandria. Hypsilanti. Hyrcania. Hypatia. Hyperboreans.Hyperion. Hyperion. hypsicles of alexandria. Hypsilanti. Hyrcania. Hyrcanus. Hystaspes. http://www.slider.com/Enc/H/Hun.htm

The Web Encyclopaedia Shopping Ah‑ha ... Index The Web Encyclopaedia Shopping Ah-ha Kanoodle Findwhat Summary Top Encyclopaedia H Hun ... Rope Ladders Hun Still searching the hard way? Try the Free Slider Search Toolbar and spend less time searching!! www.trellian.com Sponsored Link Hu Shih Hu Yaobang Hun Sen Huna Bay ... hysteria Slider in: Espa±ol Deutsch Dansk Nederlands ... Download the FREE Slider.com Search Toolbar!

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