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Eratosthenes Of Cyrene: more detail

Eratosthenes of Cyrene (Lecture on a master mind, British Academy) by P.M. Fraser, 1971-08-17
Cyrenean Greeks: Eratosthenes, Cyrene, Callimachus, Synesius, Carneades, Aristippus, Pheretima, Ladice, Eryxo, Lacydes of Cyrene
ERATOSTHENES OF CYRENE (276 B.C.-194 B.C.): An entry from Gale's <i>World of Earth Science</i>
Eratosthenes of Cyrene: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001

lists with details

Eratosthenes
The interactive applet on this page illustrates the Sieve of Eratosthenes. There are also links and information about eratosthenes of cyrene eratosthenes of cyrene. A versatile scholar, eratosthenes of cyrene lived approximately 275
http://www.math.utah.edu/~alfeld/Eratosthenes.html

Extractions: Peter Alfeld, Department of Mathematics, College of Science University of Utah A versatile scholar, Eratosthenes of Cyrene lived approximately 275-195 BC. He was the first to estimate accurately the diameter of the earth. For several decades, he served as the director of the famous library in Alexandria. He was highly regarded in the ancient world, but unfortunately only fragments of his writing have survived. Eratosthenes died at an advanced age from voluntary starvation, induced by despair at his blindness. Here are some links to Eratosthenes related web pages: A worldwide experiment based on Eratosthenes original computation of the Earth's circumference. A page on Ancient Geography. Maps, lists, resources, and links pertaining to ancient Greek mathematics. The library of Alexandria.
Eratosthenes Of Cyrene -- Encyclopædia Britannica
MLA style " eratosthenes of cyrene." Encyclopædia Britannica. 2004 APA style eratosthenes of cyrene. Encyclopædia Britannica. Retrieved May 4, 2004, from Encyclopædia Britannica
http://www.britannica.com/eb/article?eu=33437
The Eratosthenes Project
The Original Experiment. eratosthenes of cyrene (275194 B.C scholar who lived and worked in Cyrene and Alexandria. Eratosthenes was director of the famous library in Alexandria
http://www.phys-astro.sonoma.edu/observatory/eratosthenes

Extractions: The Original Experiment Some Deatils Our Experiment The Project Observations ... Project Results Eratosthenes of Cyrene (275-194 B.C.) was a Greek scholar who lived and worked in Cyrene and Alexandria. Eratosthenes was director of the famous library in Alexandria, and is known for numerous important contributions to mathamatics, geography, and astronomy. In particular, he is remembered for a technique he introduced which enabled him to compute the first reliable determination of the true size of the earth. This technique is based on the observation by Eratosthenes that the sun is directly overhead at noon in Syene in southern Egypt on the first day of summer. (This is the time of the summer solstice.) While visiting Syene Eratosthenes apparently stopped at a well and noted that the noon sun reflected directly back from the water in the bottom of the well. Since Eratosthenes knew that the earth was a sphere, he correctly reasoned that if he could determine the altitude of the noon sun at some other location on the first day of summer, AND if he knew the distance between these two locations, he could compute the circumference of the earth as a simple ratio. This principle is illustrated in the following illustration, along with a sketch of a reconstructed map of the world as known by Eratosthenes. The Eratosthenes Technique for Determining the Size of the Earth When Eratosthenes returned to Alexandria, being a good astronomer, he knew he could wait until next year on the first day of summer and measure the altitude of the noon sun. Then since he had kept track of how far he had traveled from Syene to Alexandria, he could determine the circumference and the diameter of the earth.
Eratosthenes Of Cyrene (ca. 284-ca. 192 BC) -- From Eric Weisstein's World Of Sc
Astronomers. Branch of Science. Geographers. Branch of Science. Philosophers. Branch of Science. Scholars. Nationality. Greek. eratosthenes of cyrene (ca. 284ca. 192 BC) Although most of Eratosthenes' writings are lost, many are preserved through the writings of commentators
http://www.astro.virginia.edu/~eww6n/bios/Eratosthenes.html

Extractions: Consummate Greek scholar whose status as second best in each field earned him the nickname "Beta." He served as librarian at the great library in Alexandria, and wrote works of mathematics, geography, philosophy, and astronomy. He also wrote a poem called Hermes which described the fundamentals of astronomy in verse! Although most of Eratosthenes' writings are lost, many are preserved through the writings of commentators. Among Eratosthenes' accomplishments was the accurate measurement the diameter of the Earth by observing that, on the day of the summer solstice the Sun zenith in Alexandria, which he assumed was due north of Syene (Dunham 1990). Unfortunately, since the original work On the Measurement of the Earth was lost, the details of Eratosthenes' procedure are not known. Eratosthenes also determined the obliquity of the ecliptic prepared a star map containing 675 stars suggested that a leap day be added every fourth year, tried to construct an accurately-dated history, and developed the " sieve of Eratosthenes " method of finding
Eratosthenes
eratosthenes of cyrene. Thus may it be, and let any one who sees thisoffering say This is the gift of eratosthenes of cyrene .
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Eratosthenes.html

Extractions: Eratosthenes was born in Cyrene which is now in Libya in North Africa. His teachers included the scholar Lysanias of Cyrene and the philosopher Ariston of Chios who had studied under Zeno, the founder of the Stoic school of philosophy. Eratosthenes also studied under the poet and scholar Callimachus who had also been born in Cyrene. Eratosthenes then spent some years studying in Athens. The library at Alexandria was planned by Ptolemy I Soter and the project came to fruition under his son Ptolemy II Philadelphus. The library was based on copies of the works in the library of Aristotle . Ptolemy II Philadelphus appointed one of Eratosthenes' teachers Callimachus as the second librarian. When Ptolemy III Euergetes succeeded his father in 245 BC and he persuaded Eratosthenes to go to Alexandria as the tutor of his son Philopator. On the death of Callimachus in about 240 BC, Eratosthenes became the third librarian at Alexandria, in the library in a temple of the Muses called the Mouseion. The library is said to have contained hundreds of thousands of papyrus and vellum scrolls. Despite being a leading all-round scholar, Eratosthenes was considered to fall short of the highest rank.
Chronology For 500BC To 1AD
About 235BC eratosthenes of cyrene estimates the Earth s circumferencewith remarkable accuracy finding a value which is about 15% too big.
http://www-gap.dcs.st-and.ac.uk/~history/Chronology/500BC_1AD.html
ERATOSTHENES - Who Was Eratosthenes Of Cyrene?
eratosthenes of cyrene (276194 BC) Eratosthenes was born in Cyrenewhich is now in Libya. After studying in Alexandria and Athens
http://www.eranet.gr/eratosthenes/html/eoc.html

Extractions: Eratosthenes was born in Cyrene which is now in Libya. After studying in Alexandria and Athens, he became the director of the Great Library in Alexandria. It was there where he read about a deep vertical well near Syene (now Aswan) in southern Egypt, which, once a year at noon (on the day of the Summer Solstice), was entirely lit up to the bottom by the sun, that is, the sun was directly overhead, with its rays shining directly into it. Making the assumptions that (a) the earth is round and that (b) the sun's rays are essentially parallel, Eratosthenes knew from geometry that the size of the measured angle equaled the size of the angle at the earth's center between Syene and Alexandria. Knowing also that the arc of an angle this size was 1/50 of a circle, and that the distance between Syene and Alexandria was 5000 stadia, he multiplied 5000 by 50 to find the earth's circumference.
Eratosthenes
Biography of Eratosthenes (276BC194BC) eratosthenes of cyrene. Born 276 BC in Cyrene, North Africa (now Shahhat, Libya) say "This is the gift of eratosthenes of cyrene". Eratosthenes also
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Eratosthenes.html

Extractions: Eratosthenes was born in Cyrene which is now in Libya in North Africa. His teachers included the scholar Lysanias of Cyrene and the philosopher Ariston of Chios who had studied under Zeno, the founder of the Stoic school of philosophy. Eratosthenes also studied under the poet and scholar Callimachus who had also been born in Cyrene. Eratosthenes then spent some years studying in Athens. The library at Alexandria was planned by Ptolemy I Soter and the project came to fruition under his son Ptolemy II Philadelphus. The library was based on copies of the works in the library of Aristotle . Ptolemy II Philadelphus appointed one of Eratosthenes' teachers Callimachus as the second librarian. When Ptolemy III Euergetes succeeded his father in 245 BC and he persuaded Eratosthenes to go to Alexandria as the tutor of his son Philopator. On the death of Callimachus in about 240 BC, Eratosthenes became the third librarian at Alexandria, in the library in a temple of the Muses called the Mouseion. The library is said to have contained hundreds of thousands of papyrus and vellum scrolls. Despite being a leading all-round scholar, Eratosthenes was considered to fall short of the highest rank.
ERATOSTHENES - The Company
To constantly follow technological developments which enhance our knowhowand productivity. Learn Who was eratosthenes of cyrene?
http://www.eranet.gr/eratosthenes/html/aboutus.html

Extractions: ERATOSTHENES has been operating since the mid 70s and has become one the of the largest and most specialized consultancies in Greece, offering services to the public and private sectors, and the EU, in the fields of engineering, planning, GIS applications and applied research. ERATOSTHENES is organized in the following departments: Our Aims: Learn: F_menu(new Array('NavigationBar21', '../html/cadastre.html','../assets/images/autogen/Cadastre_NButtonP1.gif','../assets/images/autogen/Cadastre_NRButtonP1.gif','../html/gis.html','../assets/images/autogen/G.I.S._NButtonP1.gif','../assets/images/autogen/G.I.S._NRButtonP1.gif','../html/tsd.html','../assets/images/autogen/Transport_St._NButtonP1.gif','../assets/images/autogen/Transport_St._NRButtonP1.gif','../html/data.html','../assets/images/autogen/Digital_Data_NButtonP1.gif','../assets/images/autogen/Digital_Data_NRButtonP1.gif'));
Eratosthenes Of Cyrene (ca. 284-ca. 192 BC) -- From Eric Weisstein's World Of Sc
eratosthenes of cyrene (ca. 284ca. 192 BC), Consummate Greek scholarwhose status as second best in each field earned him the nickname
http://scienceworld.wolfram.com/biography/Eratosthenes.html

Extractions: Consummate Greek scholar whose status as second best in each field earned him the nickname "Beta." He served as librarian at the great library in Alexandria, and wrote works of mathematics, geography, philosophy, and astronomy. He also wrote a poem called Hermes which described the fundamentals of astronomy in verse! Although most of Eratosthenes' writings are lost, many are preserved through the writings of commentators. Among Eratosthenes' accomplishments was the accurate measurement the diameter of the Earth by observing that, on the day of the summer solstice the Sun zenith in Alexandria, which he assumed was due north of Syene (Dunham 1990). Unfortunately, since the original work On the Measurement of the Earth was lost, the details of Eratosthenes' procedure are not known. Eratosthenes also determined the obliquity of the ecliptic prepared a star map containing 675 stars suggested that a leap day be added every fourth year, tried to construct an accurately-dated history, and developed the " sieve of Eratosthenes " method of finding
Eratosthenes Hub
Links to information and resources for Eratosthenes to more information and implementations. eratosthenes of cyrene by the University of Utah eratosthenes of cyrene from School of Mathematics and Statistics University of St Andrews
http://www.knowdeep.org/eratosthenes

Extractions: Sieve of Eratosthenes - definition of Sieve of Eratosthenes, possibly with links to more information and implementations. Eratosthenes of Cyrene by the University of Utah - the interactive applet on this page illustrates the Sieve of Eratosthenes. Eratosthenes Measures Earth's Circumference - by Dennis P. Donovan , Rice University. Eratosthenes's measurement of the size of the earth - from St. Ambrose University, Astronomy and Earth Science. Eratosthenes and the Size of the Earth - from Bucknell University Physics Department. The Sieve of Eratosthenes - Kevin Coombes, Department of Mathematics, University of Maryland. Eratosthenes of Cyrene - from School of Mathematics and Statistics University of St Andrews, Scotland. Eratosthenes 276-195 B.C.E. Eratosthenes of Cyrene - from Mr. C's Math Classroom, West Valley Junior High. Eratosthenes of Cyrene 270 - 190 BC - by BBC Education.
Eratosthenes Of Cyrene -- Encyclopædia Britannica
eratosthenes of cyrene Encyclopædia Britannica Article. To cite this pageMLA style eratosthenes of cyrene. Encyclopædia Britannica. 2004.
http://www.britannica.com/eb/article?eu=33437&tocid=0&query=eratosthenes
Eratosthenes Of Cyrene
eratosthenes of cyrene. eratosthenes of cyrene lived approximately 275195BC. He was born in eratosthenes of cyrene. I am your Guide,
http://space.about.com/cs/astronomerbios/a/Eratosthenesbio.htm

Extractions: zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About Homework Help Space / Astronomy Biographies ... Featured Astronomy Image of the Week zau(256,152,145,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); Multimedia Resources News - Current Events Stars Planets Galaxies Education - Astronomy/Space ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Subscribe to the About Space / Astronomy newsletter. Search Space / Astronomy Eratosthenes of Cyrene Public Domain Email to a friend Print this page Stay Current Subscribe to the About Space / Astronomy newsletter. Suggested Reading Biography of Ptolemy Biography of Copernicus Recent Discussions Bessels function? Apollo 11 Memories black holes Recent Discussions Apollo 1 Fire Comet Man First Lady of Astronomy Most Popular The Space Shuttle Challenger Disaster - a NASA Tragedy About Space Station - Resources For Kids - Hangman Game 9/11 Terrorist Attacks on World Trade Center Twin Towers Fro... Black Holes - Hubble Space Telescope Images of Black Holes ... Pluto - Pictures and Astronomy Facts - Solar System Planetar... What's Hot Apollo 13 - From the History of Space Exploration - The Succ...
Eratosthenes Of Cyrene
eratosthenes of cyrene lived approximately 275195 BC. He was born in Cyrene whichis now in Libya in North Africa. eratosthenes of cyrene. Space/Astronomy Blog.
http://space.about.com/b/a/044894.htm

Extractions: zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About Homework Help Space / Astronomy Home ... Featured Astronomy Image of the Week zau(256,152,145,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); Multimedia Resources News - Current Events Stars Planets Galaxies Education - Astronomy/Space ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Subscribe to the About Space / Astronomy newsletter. Search Space / Astronomy Space/Astronomy Blog Main Eratosthenes of Cyrene Eratosthenes of Cyrene lived approximately 275-195 BC. He was born in Cyrene which is now in Libya in North Africa. He studied with the scholar Lysanias of Cyrene and the philosopher Ariston of Chios who had studied under Zeno, the founder of the Stoic school of philosophy. Later, he studied under the poet and scholar Callimachus who had also been born in Cyrene. He then spent some years studying in Athens. Eratosthenes is probably best known for the surprisingly accurate measurement of the circumference of the Earth he made. Comparing the noon shadow at midsummer between Syene (now Aswan on the Nile in Egypt) and Alexandria, assuming that the sun was so far away that its rays were essentially parallel, using the distance between Syene and Alexandria, he calculated the length of the circumference of the Earth as 250,000 stadia (about 46,250 km). The actual distance at the equator is 40,075km.
TMTh:: ERATOSTHENES OF CYRENE
ASTRONOMER, GEOGRAPHER. eratosthenes of cyrene (fl. 276 194 BC) LifeOne of the greatest of the ancient Greek sages and the first
http://www.tmth.edu.gr/en/aet/2/43.html

Extractions: One of the greatest of the ancient Greek sages and the first great geographer of the ancient world, Eratosthenes is considered the founder of physical and mathematical geography. He studied in Athens with Ariston of Chios and Archesilaus, then moved to Alexandria, where he spent most of the rest of his life. Ptolemy III Euergetes appointed him director of the famous Library of Alexandria. It was Eratosothenes who coined the term "philologist". Archimedes, his senior by 11 years, held him in very high esteem, and dedicated two of his works to him: "On the Method of Mechanical Theorems" and "The Cattle Problem". He is cited by Stobaeus. One of the moon's craters has been named "Eratosthenes" in his honour.
Eratosthenes Of Cyrene
eratosthenes of cyrene. bc 276 BC, Cyrene, Libya dc 194, Alexandria,Egypt. Greek scientific writer, astronomer, and poet, the first
http://www.kat.gr/kat/history/Greek/Sc/Eratosthenes.htm

Extractions: d. c. 194, Alexandria, Egypt Greek scientific writer, astronomer, and poet, the first man known to have calculated the Earth's circumference. At Syene (now Aswan), some 800 km (500 miles) southeast of Alexandria in Egypt, the Sun's rays fall vertically at noon at the summer solstice. Eratosthenes noted that at Alexandria, at the same date and time, sunlight fell at an angle of about 7 from the vertical. He correctly assumed the Sun's distance to be very great; its rays therefore are practically parallel when they reach the Earth. Given estimates of the distance between the two cities, he was able to calculate the circumference of the Earth. The exact length of the units (stadia) he used is doubtful, and the accuracy of his result is therefore uncertain; it may have varied by 0.5 to 17 percent from the value accepted by modern astronomers. He also measured the degree of obliquity of the ecliptic (in effect, the tilt of the Earth's axis) with great accuracy and compiled a star catalog. His mathematical work is known principally from the writings of Pappus of Alexandria. After study in Alexandria and Athens, Eratosthenes settled in Alexandria about 255 Bc and became director of the great library there. He worked out a calendar that included leap years, and he tried to fix the dates of literary and political events since the siege of Troy. His writings include a poem inspired by astronomy, as well as works on the theatre and on ethics. Eratosthenes was afflicted by blindness in his old age, and he is said to have committed suicide by voluntary starvation.
Eratosthenes Of Cyrene (c.276-c.194 B.C.)
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z this site WWW. eratosthenes of cyrene (c.276c.194 BC)
http://www.daviddarling.info/encyclopedia/E/Eratosthenes.html
Eratosthenes Of Cyrene
eratosthenes of cyrene. 276BC to 194BC.
http://www.virtualology.com/virtualpubliclibrary/hallofeducation/Mathematics/Era

Extractions: Unauthorized Site: This site and its contents are not affiliated, connected, associated with or authorized by the individual, family, friends, or trademarked entities utilizing any part or the subjects entire name. Any official or affiliated sites that are related to this subject will be hyper linked below upon submission and Virtualology's review. 2000 by Virtualology TM . All rights reserved.
Science: Mathematics: Mathematicians: Eratosthenes_of_Cyrene - Open Site
Top Science Mathematics Mathematicians eratosthenes of cyrene (8) Eratostheneswas born 276 BC in Cyrene, North Africa, which is now Shahhat in Libya.
http://open-site.org/Science/Mathematics/Mathematicians/Eratosthenes_of_Cyrene/

Extractions: Eratosthenes compared the noon shadow at midsummer between Syene (now Aswan on the Nile in Egypt) and Alexandria. He assumed that the sun was so far away that its rays were essentially parallel, and then with a knowledge of the distance between Syene and Alexandria, he gave the length of the circumference of the Earth as 250,000 stadia.
Eratosthenes Of Cyrene
eratosthenes of cyrene Lesson 5. GRADE LEVEL 10th Grade. SUBJECT ATTACHMENTSQuestions on Eratosthenes eratosthenes of cyrene. Part
http://www.thesolutionsite.com/lesson/1666/northmarion2hsB5.htm

Extractions: GRADE LEVEL: 10th Grade SUBJECT: English/Language Arts, Social Studies, Guidance LEARNER OUTCOMES: DURATION OF LESSON: MATERIALS: TECHNOLOGY TOOLS/COURSEWARE: TEACHER NOTES: Reserve school computer lab for 2 days. Be sure Internet is available. Assure students have signed and understand the Acceptable Use Policy. Before entering Internet sites, the teacher may want to review with students methods of skimming/scanning articles for pertinent information.

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