81. .: Ptolemy.co.uk :. Welcome to ptolemy.co.uk. This website hosts a community of secondary mathematicsteachers, who share resources and good ideas online. http://www.ptolemy.co.uk/

Associations MA ATM Other Sites nRich Dr. Math CIMT Count On ... Maths Net Email WebMail This site is currently in development. The pages are functional but they have not been completed. If you find any errors please contact me The problems people were having with logging in have now been resolved. If you're still experiencing difficulties, contact me immediately with details of the errors that you receive. Many thanks. ptolemy.co.uk Welcome to ptolemy.co.uk. This website hosts a community of secondary mathematics teachers, who share resources and good ideas online. The community is protected, and not accessible to the general public. If you work in mathematics education and you would like access, please email me from your school, college or organisation and I will correspond with you about giving you access. Member Access If you are a member, you can access the restricted resources by clicking the link below. If you find a resource you really like you can bookmark it and then navigate directly to that page in future. Log In To Resources Can't remember your password?

82. Aristotelian Cosmology Next The motion according to Up Aristotle and ptolemy Previous Aristotle andptolemy. Aristotelian Cosmology. Aristotle s cosmological work On The http://phyun5.ucr.edu/~wudka/Physics7/Notes_www/node35.html

Next: The motion according to Up: Aristotle and Ptolemy Previous: Aristotle and Ptolemy Aristotelian Cosmology Aristotle's cosmological work On The Heavens is the most influential treatise of its kind in the history of humanity. It was accepted for more that 18 centuries from its inception (around 350 B.C.) until the works of Copernicus in the early 1500s. In this work Aristotle discussed the general nature of the cosmos and certain properties of individual bodies. Aristotle believed that all bodies are made up of four elements: earth, water, air and fire (see Fig. These elements naturally move up or down, fire being the lightest and earth the heaviest . A composite object will have the features of the element which dominates; most things are of this sort. But since the elements in, for example, a worm, are not where they belong (the fiery part is too low being bound by the earth part, which is a bit too high), then the worm is imperfect. All things on earth are thus imperfect. The idea that all bodies

83. Ptolemy In his treatise the Almagest (``The Great System ) ptolemy provided a ptolemy vision (based on previous work by Hipparchus) was to envision the Earth http://phyun5.ucr.edu/~wudka/Physics7/Notes_www/node37.html

Next: From the Middle Ages Up: Aristotle and Ptolemy Previous: The motion according to Ptolemy The Aristotelian system was modified by Hipparchus whose ideas were popularized and perfected by Ptolemy. In his treatise the Almagest (``The Great System'') Ptolemy provided a mathematical theory of the motions of the Sun, Moon, and planets. Ptolemy vision (based on previous work by Hipparchus) was to envision the Earth surrounded by circles, on these circles he imagined other (smaller) circles moving, and the planets, Sun, etc. moving on these smaller circles. This model remained unchallenged for 14 centuries. The system of circles upon circles was called a system of epicycles (see Fig. ). It was extremely complicated (requiring several correction factors) but it did account for all the observations of the time, including the peculiar behavior of the planets as illustrated in Fig. . The Almagest was not superseded until a century after Copernicus presented his heliocentric theory in Copernicus' De Revolutionibus of 1543.

84. Malaspina Great Books - Claudius Ptolemy (c. 85) ptolemy also wrote several other books. In his Geography he attempted to map ptolemy in the next chapter indicates two means of determining this angle http://www.malaspina.com/site/person_961.asp

Biography and Research Links: Please wait for Page to Load or Claudius Ptolemy (c. 85-c. 165)

85. Adventures In CyberSound: Ptolemaeus - Claudius (Ptolemy) An online, academic work that will research the history of radio and the relatedmedia services of telegraphy, telephony, facsimile, television, http://www.acmi.net.au/AIC/PTOLEMY_BIO.html

A D V E N T U R E S in C Y B E R S O U N D Claudius Ptolemaeus - 'Ptolemy' : 90-168 AD Ptolemy Latin in full Claudius Ptolemaeus (fl. AD 127-145, Alexandria), ancient astronomer, geographer, and mathematician who considered the Earth the centre of the universe (the "Ptolemaic system"). Virtually nothing is known about his life. Astronomical work His astronomical work was enshrined in his great book He mathematike syntaxis ("The Mathematical Collection"), which eventually became known as Ho megas astronomos ("The Great Astronomer"). During the 9th century, however, Arab astronomers used the Greek superlative Megiste to refer to the book. When the definite article al was prefixed to the term, its title then became known as the Almagest , the name still used today. The Almagest is divided into 13 books, each of which deals with certain astronomical concepts pertaining to stars and to objects in the solar system (the Earth and all other celestial bodies that revolve around the Sun). It was, no doubt, the encyclopaedic nature of the work that made the Almagest so useful to later astronomers and that gave the views contained in it so profound an influence.

86. Ptolemy's Table Of Chords EWorld Articles, Essays, Ideas, Opinions, Unabridged. http://hypertextbook.com/eworld/chords.shtml

Ptolemy's Table of Chords Trigonometry in the Second Century E-World Fair Use Encouraged 28 June 1994 Table of Contents Introduction Equivalence of the Table of Chords and a table of sines Special Angles Table 1 : Chords of the special angles Ptolemy's Theorem Corollary 1 : Chord of the difference of two arcs Corollary 2 : Chord of half an arc Corollary 3 : Chord of the sum of two arcs Aristarchus' Inequality Approximation of small chords Sixtieths The Table of Chords ... Table 2 : Page 1 from the Table of Chords Table 3 : A comparison of the Table of Chords with a ten-place calculator Conclusion Postscripts External Links Footnotes ... Sources Introduction Although certainly not the first trigonometric table , Ptolemy's On the Size of Chords Inscribed in a Circle (2nd Century AD) is by far the most famous. Based largely on an earlier work by Hipparchus (ca. 140 BC) it was included in Ptolemy's definitive Syntaxis Mathematica , better known by its Arabic name Almagest . In this paper I will describe the geometric theorems used in the construction of this table and attempt to relate them to their contemporary trigonometric counterparts. Equivalence of the Table of Chords and a table of sines (where crd is the length of the chord described by the central angle subtending an arc of parts of the circumference), the

87. Ptolemy And His Geography The Geography. The plan of the book. ptolemy s place in the history of geographyand cartography. ptolemy s maps; ptolemy s influence on later cartography http://www.chass.utoronto.ca/~ajones/ptolgeog/

Ptolemy and his Geography This website was inaugurated to coincide with the publication of Ptolemy's Geography by J. Lennart Berggren and Alexander Jones Princeton University Press More information about the book Ptolemy is by far the most important Greco-Roman writer on the physical sciences whose works have come down to us. Among his writings are major treatises on astronomy, geography, music theory, visual perception, and astrology. The aim of this website (which is under gradual construction) is to provide accurate and up-to-date information about Ptolemy's life and works, with special emphasis on his influential book on cartography, the Geography Ptolemy What we know of Ptolemy's biography His principal astronomical work: the Almagest (to be written) His other astronomical writings (updated and now including translations of some of the works) His work on harmonics, optics, and epistemology. (to be written) His astrological treatise. (to be written) The Geography The plan of the book. Ptolemy's place in the history of geography and cartography. Ptolemy's maps Ptolemy's influence on later cartography Website content and design: Alexander Jones. (

88. Ptolemy Ptolémée Ptolemaeus - Iconography Of His Portrait - Iconographie Cette page sera affichée dans les navigateurs noncadres. Sélectionnez ce modeafin de personnaliser la page pour les navigateurs incompatibles. http://www.er.uqam.ca/nobel/r14310/Ptolemy/

89. Ptolemy's Theorem Proofs, the essence of Mathematics, ptolemy s Theorem. http://www.cut-the-knot.org/proofs/ptolemy.shtml

Username: Password: Sites for teachers Sites for parents Awards Interactive Activities ... Sites for parents Ptolemy's Theorem Let a quadrilateral ABCD be inscribed in a circle. Then the sum of the products of the two pairs of opposite sides equals the product of its two diagonals. In other words, Remark Ptolemy of Alexandria (~100-168) gave the name to the Ptolemy's Planetary theory which he described in his treatise Almagest . The book is mostly devoted to astronomy and trigonometry where, among many other things, he also gives the approximate value of as 377/120 and proves the theorem that now bears his name. The name Almagest is actually a corruption of a later arabic title "Al magiste" - The Greatest. This classical theorem has been proven many times over. Following is the simplest proof I am aware of. Proof The following problem is discussed in Honsberger, Mathematical Morsels Let A A A denote an equilateral triangle inscribed in a circle. For any point P on the circle, show that the two shorter segments among PA , PA , PA add up to the third one.

90. Ptolemy Mann, M.A. (RCA) ptolemy Mann, MA (RCA). My work is focused on collaborations with architects,art consultants, and interior designers to produce art pieces to commission http://www.ptolemymann.com/

My work is focused on collaborations with architects, art consultants, and interior designers to produce art pieces to commission for specific sites. All pieces are hand dyed and woven on an upright Dobby Loom and then stretched over wooden frames to give the woven cloth an architectural structure. The scale of work can be large or small and all levels of collaboration will be considered. My aim is to apply colour and form to a space in a clean structural way that brings warmth to the environment. Proceed to: c.v. gallery

91. Ptolemy I - Alexander The Great - General Of Alexander - Founder Of The Great Li Biography of ptolemy I, trusted general of Alexander The Great, founder of theGreat Library of Alexandria. ptolemy I played by Sir Anthony Hopkins in http://www.alexander-the-great.co.uk/ptolemy.htm

In association with Egyptian Dreams - a supplier for the Oliver Stone movie "Alexander" starring Colin Farrell as Alexander the Great Ptolemy I of Egypt Menu: Home Alexander the Great The Great Library of Alexandria The Gordian Knot ... Hephaestion The Cast: Colin Farrell Sir Anthony Hopkins Angelina Jolie Val Kilmer ... Jonathan Rhys-Meyers News: Official Production Information Latest Movie News and Gossip (Updated 17th November 2004) Pictures: Official Posters Production Pictures Trailer Stills Downloads: Alexander Trailer Xtreme Desktop Recommended Reading: Books about Alexander The Great Discussion: Discussion Board Miscellaneous: Links Advertising Information Ptolemy was one of Alexander the Great's boyhood friends and became one of his most trusted generals. He played a principal part in the campaigns of Alexander in Afghanistan and India. When Alexander the Great died Ptolemy took charge of one third of all the land that Alexander had conquered, becoming satrap (governor) of Cyrenaica and Egypt. Although he later took the name Soter (preserver) his main aim throughout his 38 years in power was to build a mighty dynasty, the Ptolemaic dynasty (alternatively named the Macedonian dynasty or Lagid dynasty) This dynasty ruled Egypt for 300 years and was the most important, in it's influence upon the civilisations of the world, of all the kingdoms which owed their origins to the conquests of Alexander the Great.

92. PTOLEMY; Claudius; 120-180; Greek This Heir Of The Greek ptolemy; Claudius; 120180; greek ptolemy recorded the observation of 7nebulae 3 asterisms without interest, the two discoveries from HIPPARCHOS and http://www.astrosurf.com/cielextreme/page138E.html

Prior Astronomer Next Astronomer Back to List PTOLEMY; Claudius; 120-180; greek This heir of the greek philosopher believed in geocentrism, a system that was to last for 15 centuries until COPERNIC. He observed from Alexandrian between 127 and 141AD and wrote two books: "Megiste Syntaxis" (Almageste in arab) in 140 and "Geography". Ptolemy recorded the observation of 7 nebulae: 3 asterisms without interest, the two discoveries from HIPPARCHOS and two own discoveries: M7 and Mel 111.

93. Ptolemy - The Ptolemies In fact there is no evidence that ptolemy was ever anywhere other than Alexandria.His name, Claudius ptolemy, is of course a mixture of the Greek Egyptian http://www.crystalinks.com/ptolemy.html

Ptolemy ~ The Ptolemies Ptolemy - Claudius Ptolemaeus, Ptolomaeus, Klaudios Ptolemaios, Ptolemeus - lived in Alexandria, Egypt from approx. 87 -150 AD. Very little is known about his personal life. He was an astronomer, mathematician and geographer. He made astronomical observations from Alexandria in Egypt during the years AD 127-41. In fact the first observation which we can date exactly was made by Ptolemy on 26 March 127 while the last was made on 2 February 141. It was claimed by Theodore Meliteniotes in around 1360 that Ptolemy was born in Hermiou (which is in Upper Egypt rather than Lower Egypt where Alexandria is situated) but since this claim first appears more than one thousand years after Ptolemy lived, it must be treated as relatively unlikely to be true. In fact there is no evidence that Ptolemy was ever anywhere other than Alexandria. His name, Claudius Ptolemy, is of course a mixture of the Greek Egyptian 'Ptolemy' and the Roman 'Claudius'. This would indicate that he was descended from a Greek family living in Egypt and that he was a citizen of Rome, which would be as a result of a Roman emperor giving that 'reward' to one of Ptolemy's ancestors. He codified the Greek geocentric view of the universe, and rationalized the apparent motions of the planets as they were known in his time. That theory was presented in such a form that it prevailed for 1400 years.

94. Astrology - Ptolemy: ET Connection To Orion And Sirius ptolemy worked from the data of past astrologers to map over one thousand stars . ptolemy may never have actually practiced astrology, as there has not http://www.crystalinks.com/egyptastrology.html

Astrology - Ptolemy: ET Connection to Orion and Sirius Astrology goes back to the times of the Sumerians, who settled in Mesopotamia around 4000 BC. This marks the first example of a people who worshipped the sun, moon, and Venus. They considered these heavenly bodies gods, or the homes of gods. The priests of the time who communicated with the gods were the first rulers. There were High Priests and lesser priests - much like the way things were in Atlantis. They carried the teachings with them from one civilization to another. The Time of Ptolemy Ptolemy worked from the data of past astrologers to map over one thousand stars. He compiled a list of 48 constellations, and, for the most part, described the longitude and latitude lines of the earth. He was a believer that the earth was the center of the universe and worked to advance this theory. His effort in this area was in his thirteen volume work called the Almagest The Ptolemaic system is explained why some planets seemed to move backwards for periods of time in their orbit around earth. He theorized that each planet also revolved in a smaller circle as well as a larger one. This was called the "epicycle." This theory would survive for 1400 years, until it was finally accepted that the earth was itself another planet in orbit around the sun. The first book defined Ptolemy's reasoning for practicing astrology as well as astronomy, for by this time, there were many who opposed astrology. He said that it should not be abandoned merely because there are a few people who abuse it. This book also deals with the various alignments of planets, the moon, and the sun. Ptolemy describes in detail which positions are favorable and which are not. He also explained the signs, when they begin, and why they begin there.

95. MSN Encarta - Ptolemy In this work, ptolemy proposed a geometric theory to account ptolemy beganby accepting the generally held theory that the earth did not move but was at http://encarta.msn.com/encyclopedia_761562047/Ptolemy.html

MSN Home My MSN Hotmail Shopping ... Sign In Web Search: Encarta Subscriber Sign In Help Home ... Upgrade your Encarta Experience Search Encarta Upgrade your Encarta Experience Spend less time searching and more time learning. Learn more Tasks Find in this article Print Preview Related Items contribution to the history of trigonometry Ptolemaic System more... Further Reading Search for books and more related to Ptolemy Encarta Search Search Encarta about Ptolemy Advertisement document.write(' Ptolemy Encyclopedia Article Multimedia 3 items Article Outline Introduction The Almagest Other Works I Introduction Print Preview of Section Ptolemy ad 100?-170?), astronomer and mathematician, whose astronomical theories and explanations dominated scientific thought until the 16th century ( see Ptolemaic System ). He is also remembered for his contributions to the fields of mathematics, optics, and geography. Ptolemy's actual name, Claudius Ptolemaeus, reflects all that is really known of him: The name "Claudius" suggests a Roman background, while "Ptolemaeus" hints at a possible Egyptian heritage for him. In fact, ancient sources report that for most of his life he lived and worked in Alexandria , Egypt. At a time when Egypt was ruled by Romans, Alexandria was the center of widespread Greek culture, and we know that Ptolemy wrote his works in Greek.

96. Hubcap Creatures By Ptolemy http://www.hubcapcreatures.com/

97. Ptolemy ptolemy wrote a valuable history of previous observations called the Almagest .He performed many experiments on optics and realized that starlight is http://astrosun2.astro.cornell.edu/academics/courses/astro201/ptolemy.htm

Ptolemy (100 - 170 A.D.) Ptolemy wrote a valuable history of previous observations called the "Almagest". He performed many experiments on optics and realized that starlight is refracted in the Earth's atmosphere. However, his system of planetary motions was a major blunder, and unfortunately, it was adopted for nearly 1400 years. Ptolemaic view The Earth is round, stationary and very small relative to the celestial sphere of the sky. The stars are fixed points of light inside the celestial sphere. Day and night result from the rotation of the entire celestial system around the fixed, nonrotating Earth. The planets moved on small circular paths, called epicycles . The centers of these epicycles move around the earth of other circular paths, called deferents . The combination of the planetary motions along the epicycles and deferents produces the observed wandering of the planets among the stars, including the retrograde motion

98. ArtWeb Copyright 2003 2004 Digital ptolemy. All rights reserved. Pictures may bedownloaded for personal non-commercial use. All other uses prohibited without http://www.geocities.com/kingptolemy/ArtWeb

WARNING: The images in this gallery may contain subjects that are unsuitable for younger viewers. Digital Ptolemy Pictures may be downloaded for personal non-commercial use. All other uses prohibited without prior permission from the artist. Digital Ptolemy COMPUTER GENERATED ART [ ENTER ] Renderosity Web Ring Previous 15 Previous Site ... Next 15 This site is a member of WebRing. To browse visit Here

99. Ptolemy's Tetrabiblos Index ptolemy s Tetrabiblos, JM Ashmand, translator, at sacredtexts.com. http://www.sacred-texts.com/astro/ptb/

Sacred Texts Sky Lore Ptolemy's Tetrabiblos tr. J.M. Ashmand The Tetrabiblos, or 'four-part book' of Ptolemy is one of the most important surviving ancient texts on Astrology. Claudius Ptolemy, the second century C.E. author of this book, is best known as the originator of the Ptolemaic system. The Earth stood fixed at the center of the universe, with crystalline spheres within spheres whirling around it. In balance, the universe had a vast influence on earthly events, which was the basis for the belief in Astrology. This explanation stood for nearly a millenium and a half, bolstered by its acceptance as orthodoxy by the Catholic Church, until Copernicus and Galileo demolished it and placed the heliocentric (sun-centered) system in its place. Title Page Advertisement Table of Contents Preface Book the First Chapter I. Proem Chapter II. Knowledge May Be Acquired by Astronomy to a Certain Extent Chapter III. That Prescience is Useful Chapter IV. The Influences of the Planetary Orbs ... Chapter XXVII. Application, Separation, and Other Faculties Book the Second Chapter I. General Division of the Subject

100. Tree: Soter `Saviour' PTOLEMY (PHARAOH) Of EGYPT aka ptolemy (Ptolemaios) I; inherited Kingship of EGYPT from Uncle Alexander.External page Who was really father of ptolemy? Born by abt. http://freepages.genealogy.rootsweb.com/~jamesdow/s040/f000034.htm

OAS_AD('Top'); The PEDIGREE of Soter `Saviour' PTOLEMY (PHARAOH) of EGYPT aka Ptolemy (Ptolemaios) I; inherited Kingship of EGYPT from Uncle Alexander External page: Who was really father of Ptolemy? Born: by abt. 356 BC Died: abt. 282 BC HRH William's 71-Great Grandfather. Poss. Agnes Harris's 60-Great Grandfather. Wives: Berenice (Berenike) I of MACEDONIA Eurydice I of MACEDONIA Children: Philadelphus (II) PTOLEMY Lysandra of EGYPT Amyntas TEMENID of MACEDONIA Arrhidaeus (Prince) of MACEDONIA ... (354? BC - ?) or: poss. Philip II of MACEDONIA, q.v. OR: Lagus (Magas) of MACEDONIA Alcetas I (King) of EPIRUS Neoptolemus I (King) of EPIRUS (? - 360? BC) ... (375 BC - 316 BC) Soter `Saviour' PTOLEMY (PHARAOH) of EGYPT Balakros the PERDICCID Meleagros the PERDICCID Arsinoe child of Alcestas I ... grandchild of Alcestas I His Grandchild: Euergetes (III) PTOLEMY His 3-Great Grandchildren: Euergetes II (VIII) PTOLEMY Philometer (VI) PTOLEMY Cleopatra II Epiphanes of EGYPT Start OAS_AD('Bottom');

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