21. Eratosthenes Of Cyrene Click here to visit our sponsor eratosthenes of cyrene. 276BC to 194BC.Start your search on eratosthenes of cyrene. Other educational http://www.virtualology.com/virtualpubliclibrary/hallofeducation/Mathematics/Era

You are in: Virtual Public Library Hall of Education Mathematics Eratosthenes of Cyrene Eratosthenes of Cyrene 276BC to 194BC Start your search on Eratosthenes of Cyrene Other educational search engines: Ask Jeeves for Kids Britannica.com CyberSleuth Kids Education World ... Yahooligans 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 subject’s 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. Virtualology TM Search: About Us e-mail us Editing Sponsor Editing Sponsors review and select all student work for publishing. To learn more about our editing sponsor program click here. Published Students Primary Secondary College Graduate ... Technical

22. Eratosthenes Of Cyrene eratosthenes of cyrene Lesson 5 GRADE LEVEL 10th Grade. SUBJECT ATTACHMENTSQuestions on Eratosthenes eratosthenes of cyrene. Part http://www.thesolutionsite.com/lpnew/lesson/1666/northmarion2hsB5.htm

ERATOSTHENES OF CYRENE Lesson 5 GRADE LEVEL: 10th Grade SUBJECT: English/Language Arts, Social Studies, Guidance LEARNER OUTCOMES: Students will demonstrate their ability to research the Internet to learn important facts about the life of Eratosthenes of Cyrene, a noted Greek mathematician, scientist, astronomer, geographer, writer, librarian, and cartographer. Students will compose an informational paragraph with a minimum of mechanical errors. Students will research other mathematicians of the same era as Eratosthenes and present that information orally to classmates. DURATION OF LESSON: Assignment #1: one 50 minute class period Assignment #2: two 50 minute class periods MATERIALS: Worksheet of specific questions about Eratosthenes Student journals Writer's Inc (Sebranek/Meyer/Kemper) TECHNOLOGY TOOLS/COURSEWARE: Computer lab access with Internet access Encyclopedia on CD Rom List of web sites 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.

23. 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.omhros.gr/Kat/History/Greek/Sc/Eratosthenes.htm

Eratosthenes Of Cyrene b. c. 276 BC, Cyrene, Libya 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.

24. Eratosthenes Of Cyrene (ca. 284-ca. 192 BC) -- From Eric Weisstein's World Of Sc Similar pages eratosthenes of cyreneeratosthenes of cyrene. 276 – 195 BCE. eratosthenes of cyrene wasa scholar of a variety of areas. He wrote works of mathematics http://www.astro.virginia.edu/~eww6n/bios/Eratosthenes.html

Branch of Science Astronomers Branch of Science Geographers ... Greek Eratosthenes of Cyrene (ca. 284-ca. 192 BC) 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

25. Eratosthenes eratosthenes of cyrene”. http//www.share2.esd105.wednet.edu/jmcald/Aristarchus/eratosthenes.html.“Eratosthenes Who Was eratosthenes of cyrene”. http://www.3villagecsd.k12.ny.us/wmhs/Departments/Math/OBrien/eros.html

Eratosthenes Eratosthenes was an important mathematical figure of ancient Greece. Among his accomplishments was the accurate measurement of the earth's circumference. He also wrote works on mathematics, geography, philosophy, and astronomy. Although many of his works have been lost, historians have uncovered a substantial amount of information about important events in his life and his accomplishments. Q: Where were you born and where did you grow up? A: I was born in Cyrene, Greece (which is present-day Libya, in South Africa), in 276 B.C. Both of my parents were Greek and there, on the coast of Africa, I grew up. Q: Did you have any nicknames growing up? A: I did have one; my friends called me Beta, which is the second letter of the Greek alphabet. They teased with me, saying I fell just short of first place (which was occupied by Archimedes). Later on in my life, I received the nickname Pentathlos. It's funny, because literally this word refers to an athlete that participated in 5 sporting events, but eventually was used to describe someone who was well-rounded, or good at several different things. Q: What was your childhood like?

26. Erastosthenes 2. eratosthenes of cyrene. http//www.eranet.gr/eratosthenes/html/eoc.htmlA professional site unlike the one above. A bit oversimplified http://www.3villagecsd.k12.ny.us/wmhs/Departments/Math/OBrien/eros2.html

Erastosthenes Cyrene 215 B.C. Q (me, the interviewer): Greetings WM Times readers! We are pleased to present to you an exclusive interview with the now-legendary mathematician, Eratosthenes, who has developed a method for measuring the earths' circumference through math, without traveling around the world in order to do so. In fact, only a fraction of travel was required. It's great to have this exclusive interview, Eratosthenes! A (Eratosthenes): I am glad to be here. I believe this to be a great discovery and am anxious to share it with the scientific community, as well as the world! Q: Nice to hear that. First, let us start off with a little background information. Where were you born, Eratosthenes? A: I was born in Cyrene, which is also where this interview is taking place. Q: How did you get into mathematics? A: I became very interested in mathematics growing up, and met a friend that soon became my mentor, Archimedes. Challenging my intelligence, he would send me math problems on a regular basis for me to solve. He would later send the solution so I could compare with my own. My intellectual strength grew quickly. Q: Amazing! Any early accomplishments?

27. Eratosthenes Of Cyrene eratosthenes of cyrene. Subsections http://www.math.ucdavis.edu/~daddel/Math_Hist/Projects/LESSONS/LESSONS_02/Eratos

Eratosthenes of Cyrene Subsections Background: Revierw of Used Mathematical concepts: How Eratosthenes Measured the cicumfrance of the earth Questions: ... References Ali A. Daddel 2002-03-15

28. How Eratosthenes Measured The Cicumfrance Of The Earth earth. next up previous Next Questions Up eratosthenes of cyrenePrevious Revierw of Used Mathematical Ali A. Daddel 200203-15. http://www.math.ucdavis.edu/~daddel/Math_Hist/Projects/LESSONS/LESSONS_02/Eratos

How Eratosthenes Measured the cicumfrance of the earth He reasoned that at this time the sun must be directly overhead, with its rays shining directly into the well. In Alexandria, almost due north of Syene, he knew that the sun was not directly overhead at noon on that same day because a vertical object cast a shadow. Eratosthenes was able to measure the circumference of the earth by making two assumptions: that the earth is round and that the sun's rays are essentially parallel. Eratosthenes used an obelisk in Alexandria. On the same day that the sun?s rays lit up the well in Syene, he measured the angle that the sun made with the obelisk in Alexandria at noon. He found that the apex angle of the triangle that the obelisk's shadow made was 7°12?. Thus he knew that the distance between Syene and Alexandria was equivalent to the same ratio of 7°12? to 360°. So he divided 7°12? into 360° and multiplied by the distance between Alexandria and Syene to obtain the circumference of the earth. Next: Questions: Up: Eratosthenes of Cyrene Previous: Revierw of Used Mathematical Ali A. Daddel 2002-03-15

29. Slide #112 Monograph TITLE World according to Eratosthenes DATE 194 BC AUTHOR eratosthenes of cyreneDESCRIPTION This slide shows a 19th century reconstruction of the world http://www.henry-davis.com/MAPS/AncientWebPages/112mono.html

Slide #112 TITLE: World according to Eratosthenes DATE: 194 B.C. AUTHOR: Eratosthenes of Cyrene DESCRIPTION: Slide #111 ). Geographic information that was gathered by Alexander the Great and his successors was the primary source used by Eratosthenes, a scholar with vision large enough to put this information into a logical framework. There can be no doubt that before the time of Eratosthenes the ideas of the learned world on the subject of geography had assumed a more regular and systematic form. And it is certain also that these had been embodied in the form of maps, which, however imperfect, were unquestionably very superior to anything that had preceded them. The first use of world maps by the Greeks had been introduced at a very early period by Anaximander (ca. 610-546 B.C. Slide #107 ), and maps of the world were not uncommon in the time of Herodotus (ca. 489-425 B.C. Slide #109 Slide #109 and Slide #108 Eratosthenes, head of the Library at Alexandria from 240 B.C. until his death, was known as beta to his contemporaries because they considered him second in all his varied academic pursuits. More critical of these accomplishments was Strabo (63 B.C.?- A.D.24, Slide #115 ) to whom we are indebted for much of our knowledge of geography in antiquity, including the work of Eratosthenes whose relevant works, neither of which survived, were

30. Index Of Ancient Greek Philosophers-Scientists eratosthenes of cyrene (276200 BC).. Greek astronomer and mathematician.Calculated the circumference of the Earth and finds a http://www.ics.forth.gr/~vsiris/ancient_greeks/hellinistic_period.html

Hellinistic/Alexandrian period (4th century B.C. - 5th century A.D.) This period marking advances in astronomy, mathematics and medicine. Hellinistic refers to the Greeks and others who lived after Alexander the Great's conquests, during which there existed a mixture of civilizations. Important schools of this period include Epicurianism, Stoiciscm , and Skeptisicm Philosophers-Scientists Epicurus of Samos (341-270 B.C.). Founder of the philosophical school of Epicurianism which, similar to the Atomists, believed that atoms are fundamental parts of the real world. Believed that fate was governed by laws of nature and not some mysterious gods. Straton (Lambsacus, 340-290 B.C.). Greek physicist. Conducted experiments leading him to discover that bodies accelerate when they fall. However, erroneously, he also believes that heavier bodies fall faster. Also studied the lever, but does not find it's law. His work emphasizes the use of experimentation for scientific research. Lived in Alexandria, then moved to Athens to head the Aristitle's Lyceum after Theophrastos. Zenon of Citius (4th century B.C.).

31. Eratosthenes--References eratosthenes of cyrene. University of Utah. Cited January 25, 2002. Eratosthenesof Cyrene. O'Connor, JJ, and Robertson, EF Cited January 25, 2002. http://www.albertson.edu/math/History/emacy/Classical/references.htm

ACI Math Department Eratosthenes of Cyrene (276-194 b.c.) Eratosthenes biography historical setting discovery ... Math History References and Interesting Links Eratosthenes of Cyrene. University of Utah. Cited January 25, 2002. http://www.math.utah.edu/~alfeld/Eratosthenes.html Encyclopedia.com. Electric Library. Cited January 25, 2002 http://www.encyclopedia.com/articles/04184.html This link has a diagram showing the manner in which Eratosthenes measured the circumference of the earth. http://astrosun.tn.cornell.edu/courses/astro201/eratosthenes.html Follow this link for an experiment for high school geometry students. This site gives detailed instructions in how to proceed with a cooperative effort among school. Use of satellite uplinks is recommended in order to share results in real time. http://math.rice.edu/~ddonovan/Lessons/eratos.html Eratosthenes of Cyrene. O'Connor, JJ, and Robertson, E. F. Cited January 25, 2002. The picture on the left and throughout this site comes from this article. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Eratosthenes.html

32. Eratosthenes eratosthenes of cyrene (bc 276 BC, Cyrene, Libyadc 194, Alexandria, Egypt),Greek scientific writer, astronomer, and poet, the first man known to have http://zebu.uoregon.edu/glossary/eratosthenes.html

Eratosthenes 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.

33. Lecture 4: Measuring The Earth Circumference eratosthenes of cyrene; Claudius Ptolemy. The Four Cornersof the Earth. Answer Use Geometry. eratosthenes of cyrene. Born http://www-astronomy.mps.ohio-state.edu/~pogge/Ast161/Unit2/measearth.html

Astronomy 161: Introduction to Solar System Astronomy Prof. Pogge, MTWThF 9:30 Lecture 4: Measuring the Earth Key Ideas: Ancient ideas about the Earth. Flat Earth, World Tree or World Mountain The Spherical Earth Appeal to perfect symmetry Demonstration by Aristotle Measuring the Earth's Circumference: Eratosthenes of Cyrene Claudius Ptolemy The Four Corners of the Earth The most common ancient theme is that of a Flat Earth. Homeric: A flat disk surrounded by a world ocean. Inca: Called their land Tehuantinsuyu: "The Four Corners of the Earth" Ancient Egyptian: The sky was a tent canopy stretched between mountains at the four corners of the Earth. World Trees and Mountains also figure in early mythology: Hindu Vedas: Tree of Knowledge holding up the Universe. Norse Eddas: Yggdrasil, the World Ash Tree Brahmin World Mountain, resting on the back of elephants, themselves on the back of a giant turtle swimming in an infinite sea. These fanciful views are Representations rather than Portrayals of reality.

34. Eratosthenes Eratosthenes was born in Cyrene, Greece, which is now known as Libya, in SouthAfrica, in 276 BCE. AddisonWesley. New York; 1996. eratosthenes of cyrene. http://www.math.wichita.edu/history/men/eratosthenes.html

Eratosthenes 276-195 B.C.E. It can be said that Eratosthenes is most widely known as a famous Greek mathematician. What most people probably do not know is that Eratosthenes is not only a famous mathematician but also a well known geographer, astronomer and historian. Before I get into a few of his accomplishments, let me tell you a little about his personal history. Eratosthenes was born in Cyrene, Greece, which is now known as Libya, in South Africa, in 276 B.C.E.. It is believed that he starved himself to death in 195 B.C.E. due to the fact that he became blind and could no longer work. As a young man, Eratosthenes studied in Athens. Eventually, he made such a name for himself in his many fields that he caught the attention of the ruler of Egypt, Ptolemy III. Ptolemy III invited Eratosthenes to Alexandria, Egypt for two reasons; to tutor his son and to be the librarian for the great Alexandrian University. Eratosthenes jumped at the chance. At the University, he was able to at most interested him and associate with other scholars. Now on to his accomplishments. . . One of his major accomplishments in mathematics is his creation of a sieve that determines prime numbers up to any given limit. This sieve, which is called, the Sieve of Eratosthenes, is still important today in number research theory. Prime numbers are natural numbers greater than 1 that can be divided without remainder only by itself and by 1. Eratosthenes figured out that if you were to write down all the natural numbers from 2 to infinity and "sieve out" every second number after two (or multiples of two), then move to the next available number (3) and continue to "sieve out" every multiple of 3 and so on, one would end up with a list of prime numbers.

35. PowerBasic Crypto Archives News eratosthenes of cyrene Links http//wwwgap.dcs.st-and.ac.uk/~history/Mathematicians/Eratosthenes.htmlBack to The Archives http://www.pbcrypto.com/greatminds/eratosthenes.php

Eratosthenes of Cyrene Links: http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Eratosthenes.html Back to The Archives

36. PowerBasic Crypto Archives - The Sieve Of Eratosthenes NAME The Sieve of Eratosthenes CREATOR eratosthenes of cyrene 276 196 BC PB AUTHORFrank Ferrell DESCRIPTION Search for prime numbers using the Sieve of http://www.pbcrypto.com/view.php?algorithm=dos-eratosthenes

37. Astronomy eratosthenes of cyrene Astronomy OnLine Eratosthenes Project - this project invitesyou to measure the circumference of the Earth, in a collaboration with http://www.cannylink.com/astronomy.htm

Search mode: "AND" "OR" Astromony Astronomers Astronomical Calendars Astronomy Humor Astrophotography ... Get a Free Webpage Astronomers Brahe, Tycho (1546-1601) Brahe Brahe, Tycho Noble Dane: Images of Tycho Brahe Tycho Brahe - biography of the astronomer from Rice University. Tycho Brahe Danish Astronomer Tychonides Bruce Medalists - brief biographies of astronomers awarded the Bruce Medal of the Astronomical Society of the Pacific since 1898. Copernicus, Nicolaus (1473-1543) Copernican Model: A Sun-Centered Solar System Copernican Revolution Copernican System Copernicus, Nicolaus - The Catholic Encyclopedia ... Copernicus, The Revolutions - dedication of the revolutions of the heavenly bodies. Monument to Copernicus - work in progress. Nicolaus Copernicus Scientists: Nicolas Copernicus Web Directory: Copernicus Links Deep Skies - general information about some astronomers and space travel related physics. Eratosthenes of Cyrene Astronomy On-Line: Eratosthenes Project - this project invites you to measure the circumference of the Earth, in a collaboration with other Astronomy On-Line groups. Eratosthenes of Cyrene - from Dr. Peter Alfeld of the University of Utah.

38. Astronomy On-Line: How To Measure The Size Of The Earth Similar pages Eratostheneseratosthenes of cyrene. Born 276 BC in Cyrene (now Shahhat, Libya) Died 197 BCin Alexandria, Egypt. Eratosthenes was born in Cyrene which is now in Libya. http://www.eso.org/outreach/spec-prog/aol/market/collaboration/erathostenes/

How to measure the size of the Earth This project invites you to measure the circumference of the Earth, in a collaboration with other Astronomy On-Line groups. To do so, you will have to read carefully the instructions given here and then to contact other groups which are interested in this type of project. You may wish to contact actively those groups which are located more or less at the same geographical longitude as your own. But this is not an absolute condition. You may also place a message about your interest in the Astronomy On-Line Communications Archive. You may do so via the Marketplace (Group Communications' Shop). The measurement is not very difficult, and as long as the weather is not too bad and you can see the Sun, you should be able to obtain quite accurate results. The organisers shall be happy to hear about your experience and look forward to your report(s). They will be brought in the Astronomy On-Line Newspaper. Good luck! From November 17, you may find the provisional report about this project here How big is the Earth?

39. History Of Mathematics: Greece Philo of Byzantium (fl. c. 250); Nicoteles of Cyrene (c. 250); Strato(c. 250); Persius (c. 250?); eratosthenes of cyrene (c. 276c. 195); 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)

40. History Of Mathematics: Chronology Of Mathematicians A list of all of the important mathematicians working in a given century.Category Science Math Mathematicians Directories...... Philo of Byzantium (fl. c. 250) *SB; Nicoteles of Cyrene (c. 250); Strato(c. 250); Persius (c. 250?); eratosthenes of cyrene (c. 276c. 195) *SB *MT; 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

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