1. Historyforkids! down equations or number problems. Instead, greek mathematicians were more focused on geometry, and used geometric http://www.historyforkids.org/learn/greeks/science/math

SEARCH THE H4K SITE VISIT H4K'S STORE! H4K HOME ... CONTACT H4K TIMELINE: Before 10,000 BC 10,000-3000 BC 3000-2000 BC 2000-1000 BC ... Patterns for Theatrical Costumes Katherine Strand Holkeboer New $20.91! (Prices May Change) Privacy Information GEOGRAPHY: CHINA INDIA WEST ASIA GREECE ... Dr. Atkins' Three-Book Package Robert C. Atkins New $27.82! (Prices May Change) Privacy Information H4K HOME Greek Mathematics Because the Greeks had only very clumsy ways of writing down numbers , they didn't like algebra. They found it very hard to write down equations or number problems. Instead, Greek mathematicians were more focused on geometry, and used geometric methods to solve problems that you might use algebra for. Greek mathematicians were also very interested in proving that certain mathematical ideas were true. So they spent a lot of time using geometry to prove that things were always true, even though people already knew that they were true most of the time anyway. The Greeks in general were very interested in rationality , in things making sense and hanging together. They wanted to tie up the loose ends. They liked music, because music followed strict rules to produce beauty. So did architecture , and so did mathematics.

2. History Of Mathematics: Greece Early greek mathematicians. Have you ever wondered who was responsible for making those complicated theorems that we use 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)

3. Greek Mathematics The greek mathematicians defined "arithmetic" differently than we do today. http://www.perseus.tufts.edu/GreekScience/Students/Chris/GreekMath.html

Chris Weinkopf Greek Mathematics April 19, 1995 Look at the comments on this paper. Table of Contents The Divisions The Pure and the Physical Order, Purpose, and Method Greek mathematics was premised on inductive reasoning. Whereas ancient historians sough to deduce facts from observations, the mathematicians sought to explore and discover truths working from a factual foundation. Theoretical mathematics also provided ancient philosophers with the tools of logic, which were thus employed in the pursuit of practical ends. The classical interpretation of mathematics, as well as the subdivision of the discipline into specific categories, demonstrates the Greeks' approach to the subject. The Divisions A fragment of Archytus , a Pythagorean friend and contemporary of Plato, explains the Quadrivivium , the four fields into which the Pythagoreans divided mathematics: arithmetic, geometry, sphaeric (astronomy), and music. Plato classified mathematics into the same categories, but included as a separate division stereometry three-dimensional geometry between geometry and sphaeric. (The Pythagoreans considered stereometry as subfield of geometry). The ordering of the Pythagorean and Platonic classifications of mathematics was based on the physical dimensions . Arithmetic, which deals exclusively with numbers, is one-dimensional, is consequently the most simplistic of the mathematics and therefor falls first in the order. It is followed by two-dimensional geometry, then stereometry, and next astronomy, which deals with three dimensional objects in motion. Music follows astronomy because both are governed by the laws of harmony the flow of celestial bodies is harmonious to the eye as music is to the ear.

4. Ancient Greek Mathematics For example the Pythagorean Formula. Early greek mathematicians http://members.tripod.com/~JFrazz9/math.html

Get Four DVDs for $.49 each. Join now. Tell me when this page is updated Ancient Greek Mathematics Ancient Greek scholars were the first people to explore pure mathematics, apart form practical problems. The Greeks made important advances by introducing the concept of logical deduction and proof in order to create a systematic theory of mathematics. The Ancient Greeks had a tremendous effects on modern mathematics. For example: the Pythagorean Formula. Early Greek Mathematicians Archimedes and Pythagoras Ancient Greek Mathmatics Classic Greek Mathmatics ... Math: Ancient History and its Modern Fates Jason Frasco jfrazz9@aol.com Wynnewood, Pennsylvania United States This page has been visited times.

5. Greek Mathematics And Its Modern Heirs Greek Mathematics and its Modern Heirs Classical Roots of the Scientific Revolution For over a thousand yearsfrom the fifth century B.C. to the fifth century A.D.greek mathematicians maintained a splendid tradition of work in the exact sciences http://sunsite.unc.edu/expo/vatican.exhibit/exhibit/d-mathematics/Greek_math.htm

Greek Mathematics and its Modern Heirs Classical Roots of the Scientific Revolution Euclid, Elements In Greek, Ninth century Euclid's "Elements," written about 300 B.C., a comprehensive treatise on geometry, proportions, and the theory of numbers, is the most long-lived of all mathematical works. This manuscript preserves an early version of the text. Shown here is Book I Proposition 47, the Pythagorean Theorem: the square on the hypotenuse of a right triangle is equal to the sum of the squares on the sides. This is a famous and important theorem that receives many notes in the manuscript. Vat. gr. 190, vol. 1 fols. 38 verso - 39 recto math01 NS.01 Archimedes, Works In Latin, Translated by Jacobus Cremonensis, ca. 1458 In the early 1450's, Pope Nicholas V commissioned Jacobus de Sancto Cassiano Cremonensis to make a new translation of Archimedes with the commentaries of Eutocius. This became the standard version and was finally printed in 1544. This early and very elegant manuscript may have been in the possession of Piero della Francesca before coming to the library of the Duke of Urbino. The pages displayed here show the beginning of Archimedes' "On Conoids and Spheroids" with highly ornate, and rather curious, illumination. Urb. lat. 261 fol. 44 verso - 45 recto math02 NS.17

6. Mathematics Nicholas V supported translations of the greatest of greek mathematicians,Archimedes, and the greatest of Greek astronomers, Ptolemy. http://www.ibiblio.org/expo/vatican.exhibit/exhibit/d-mathematics/Mathematics.ht

Mathematics Ancient Science and Its Modern Fates Until recently, historians of the Scientific Revolution of the 16th and 17th centuries treated it as a kind of rebellion against the authority of ancient books and humanist scholarship. In fact, however, it began with the revival of several tremendously important and formidably difficult works of Greek science. Scholarship supported science in this world where faith and science were not yet seen as two, irreconcilable cultures. The three ancient doors to the next rooms all have signs written on them in Greek and Latin. Luckily for you we created modern metal plates with the translations, next to the doors. So you can pick any of: Greek Mathematics Ptolemy's Geography Greek Astronomy Also, someone left a note on the wall. When you have seen everything, walk back to the Main Hall

7. Greek Index Index of greek mathematicians. Below are various lists of greek mathematicians. http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Greek_index.html

Index of Greek mathematicians Below are various lists of Greek mathematicians. Full list Mathematicans/Philosophers Mathematicians/Astronomers Mathematicians/Astronomers/Philosophers ... Later circle squarers Some History Topics about Greek mathematics. Squaring the circle Doubling the cube Trisecting an angle Greek Astronomy Click on a name below to go to that biography. Full List of Greek Mathematicians in our archive Anaxagoras Anthemius Antiphon Apollonius ... Zenodorus Greek Mathematicans/Philosophers Anaxagoras Antiphon Archytas Aristotle ... Zeno of Elea Greek Mathematicians/Astronomers Apollonius Archimedes Aristarchus Aristotle ... Theon of Smyrna Greek Mathematicians/Astronomers/Philosophers Aristotle Cleomedes Democritus Eudoxus ... Thales Greek Circle squarers Anaxagoras Antiphon Apollonius Archimedes ... Bryson Carpus Dinostratus Hippias Hippocrates Nicomedes ... Sporus Later Circle squarers al-Haytham Johann Bernoulli Cusa James Gregory ... Societies, honours, etc JOC/EFR January 2000 The URL of this page is: School of Mathematics and Statistics University of St Andrews, Scotland http://www-history.mcs.st-andrews.ac.uk/history/Indexes/Greek_index.html

8. Greek Index Index of greek mathematicians. Below are various lists of greek mathematicians. FullList of greek mathematicians in our archive. http://www-gap.dcs.st-and.ac.uk/~history/Indexes/Greek_index.html

Index of Greek mathematicians Below are various lists of Greek mathematicians. Full list Mathematicans/Philosophers Mathematicians/Astronomers Mathematicians/Astronomers/Philosophers ... Later circle squarers Some History Topics about Greek mathematics. Squaring the circle Doubling the cube Trisecting an angle Greek Astronomy Click on a name below to go to that biography. Full List of Greek Mathematicians in our archive Anaxagoras Anthemius Antiphon Apollonius ... Zenodorus Greek Mathematicans/Philosophers Anaxagoras Antiphon Archytas Aristotle ... Zeno of Elea Greek Mathematicians/Astronomers Apollonius Archimedes Aristarchus Aristotle ... Theon of Smyrna Greek Mathematicians/Astronomers/Philosophers Aristotle Cleomedes Democritus Eudoxus ... Thales Greek Circle squarers Anaxagoras Antiphon Apollonius Archimedes ... Bryson Carpus Dinostratus Hippias Hippocrates Nicomedes ... Sporus Later Circle squarers al-Haytham Johann Bernoulli Cusa James Gregory ... Societies, honours, etc JOC/EFR January 2000 The URL of this page is: School of Mathematics and Statistics University of St Andrews, Scotland http://www-history.mcs.st-andrews.ac.uk/history/Indexes/Greek_index.html

9. Greek Sources II How do we know about greek mathematicians? and How do we know aboutgreek mathematicians? . Before reading this second article http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Greek_sources_2.html

How do we know about Greek mathematicians? Ancient Greek index History Topics Index There are two separate articles: How do we know about Greek mathematics? and "How do we know about Greek mathematicians?". Before reading this second article on how we can find out about the lives of the ancient Greek mathematicians, it will help if the reader first looks at the previous article on how the works of these mathematicians have reached us. Perhaps the most important fact about the lives of the mathematicians, if we are to have a proper appreciation of their work, is a knowledge of the period during which they lived. Some mathematicians added a date to their work and this has been preserved during the copying process described in the article How do we know about Greek mathematics? . Some are referred to by other authors and at least an approximate date can be given. Otherwise much more indirect evidence needs to be used. The following type of argument is typical of the type used. What works does the mathematician refer to? Clearly the mathematician must have lived after these works were written. What works refer to the mathematician? One has to be particularly careful about using data of this type since during the copying of the texts additional references may have been added which the original author could never have known about since they are from a later date. This method may leave a span of more than 200 years during which the mathematician may have lived. Particularly useful are cases where the mathematician made astronomical observations. Often these can be dated with great accuracy and, as we shall see in the example below, even having some mathematicians dates known accurately will help to date others.

10. Early Greek Mathematicians Early greek mathematicians. Copyright © 1995 by Columbia University Press. Earlygreek mathematicians Who Have Had An Influence On Western Civilization .. http://www.angelfire.com/me/Huffamoose/ticians.html

Early Greek Mathematicians Have you ever wondered who was responsible for making those complicated theorems that we use in geometry and algebra? What about the fact that certain intersecting lines are called rectangles or triangles? Where did all of these interesting ideas come from?Many of these ideas came from the great minds of Mathematicians from ancient Greece. If it weren't for these Mathematicians, we would have a harder time solving mathematical problems. For example, modern architects would have a harder time calculating distances as they would not know that the sum of the squares of two sides of a right triangle equals the square of its hypotenuse (Pythagorean Theorem). These ideas have formed the basis for the advancement of science in western civilization. To learn more about early Greek mathematicians, visit the links provided below. Early Greek Mathematicians Who Have Had An Influence On Western Civilization...... Archimedes and Pythagoras Aristotle Thales Zeno ... Click here to go back to main page. Email: marc@netreach.net

11. ANCIENT GREEK MATHEMATICS New York 1981. 6. greek mathematicians. Http//wwwadm.pdx.edu/user/sinq/greekciv/science/mathematics/IT.html. 7. Basic Ideas in Greek Mathematics. http://www.angelfire.com/me/Huffamoose/

ANCIENT GREEK MATHEMATICS Space provided by Angelfire Communications. Best viewed at 640 X 480 (256 colors). If you are interested in learning more about Greek mathematics, you can browse this website or chat (below) with others about the influence of Greek mathematics on western civilization. For those who have little knowledge about this subject, ask yourself: "How will I ever use these postulates and theorems, and who has come up with all of these interesting ideas? Where did all of this come from?".... If you guessed Ancient Greece, you're right! While Alexander the Great was out on his conquests, mathematicians like Euclid and Aristotle were coming up with new ideas which would benefit western civilization 2300 years later. If you look at the Parthenon (bottom of page) from a distance away, it looks perfectly rectangular. But in fact, the floor, walls, and columns are actually bowed. The ancient Greek architects who calculated the measurements that would be used in the construction of the Parthenon, used mathematics to come up with their designs. Buildings, like the Parthenon, have influenced many modern buildings like the Philadelphia Art Museum. Greek mathematics has made an astonishing impact on our world. By scrolling down this page, you will be able to see the influence that Ancient Greek mathematics has had on Western Civilization.... Your journey begins here.

12. Index Of Ancient Greek Mathematicians And Astronomers Archytas of Tarentum (420350 BC). Greek mathematician, astronomer and engineer.Last of the Pythagorians. Plato (Athens, 430-350 BC). Greek philosopher. http://www.ics.forth.gr/~vsiris/ancient_greeks/classical_period.html

Classical period (5th - 4th century B.C.) Within this period Athens flourishes under Pericles, the Parthenon is built on the Acropolis, the tragedies of Sophocles, Aeschylus and Euripides are created, the phisolophical schools of Socrates and Plato (known as Academy) are established, and the Lyceum of Athens is founded by Aristotle. In science, the importance of the experimental method is accepted. Philosophers-Scientists Socrates (Athens, 470-399 B.C.). Died from poison after the state found him guilty for corrupting the youth. Theodorus of Cyrene (4th century B.C.). . Pythagorean. Plato's teacher in mathematics. Shows that the square roots of 3, 5, 6, 7, 8, 10, 11, 12, 13, 15, and 17 are irrational. Archytas of Tarentum (420-350 B.C.). Greek mathematician, astronomer and engineer. Last of the Pythagorians. Plato and Eudoxus was his pupils. Built a series of toys, among them a mechanical pigeon propelled by a steam jet. Developed the theory for the pulley. Plato (Athens, 430-350 B.C.) . Greek philosopher. He was the founder of the Academy (named from the hero Academos owner of the grove where the Academy was built). Believed that mathematics played an important role in education. Disregarded practicality, a belief he passed to his students such as Eucledes. He started a three part trilogy :

13. Index Of Ancient Greek Mathematicians And Astronomers About the index. Welcome to my index of ancient Greek philosophersscientists.I started this index back in 1995, and must admit http://www.ics.forth.gr/~vsiris/ancient_greeks/about.html

About the index Welcome to my index of ancient Greek philosophers-scientists. I started this index back in 1995, and must admit that I haven't updated it's contents much since then. I recently changed the structure to use frames and list the scientists according to the period they lived. Although I try to find some time to add things, I hope the current information is of some interest. Comments and suggestions are most welcomed, just email me Compiled by Vasilios Siris - vsiris@ics.forth.gr Last Modification: Jan 2001

14. About "How Do We Know About Greek Mathematicians?" How do we know about greek mathematicians? Library Home Full Tableof Contents Suggest a Link Library Help Visit this site http://mathforum.org/library/view/12307.html

How do we know about Greek mathematicians? Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www-history.mcs.st-and.ac.uk/history/HistTopics/Greek_sources_2.html Author: MacTutor Math History Archives Description: Linked essay examining how the dates of Diocles given in the MacTutor archive have been determined, and other ways to gain information about the ancient Greek mathematicians, with references and other related web sites. Levels: Middle School (6-8) High School (9-12) College Languages: English Resource Types: Articles Bibliographies Math Topics: History and Biography Suggestion Box Home The Math Library ... Search http://mathforum.org/ webmaster@mathforum.org

15. Math Forum - Ask Dr. Math really exist? Hi, Joeli. You're asking very good questions, the samequestions the ancient greek mathematicians asked. They started http://mathforum.org/library/drmath/view/52602.html

Associated Topics Dr. Math Home Search Dr. Math Do Pyramids Really Exist? Date: 02/27/2002 at 15:27:01 From: Joeli Subject: Do Pyramids really exist? Hi, I was just wondering if certain shapes can really exist. For example, if the base of an isosceles triangle is 4, and the height is 5, then using the Pythagorean theorem the sides are equal to the square root of 21. How can this triangle exist (except in theory) if you can never measure or draw the square root of 21? I have yet to find a triangle that does not involve square roots. Is there one? What about pi? Do circles, cylinders, cones not exist because you can't measure a distance of pi? Thanks. Joeli http://www-groups.dcs.st-and.ac.uk/~history/Indexes/E.html Euclid's presentation of Eudoxus' approach of the incommensurability problem is found in Book V of his Elements: Euclid's Elements (David Joyce) http://aleph0.clarku.edu/~djoyce/java/elements/bookV/bookV.html By the way, there are triangles whose sides are commensurable. You can just pick any 3 integers and make a triangle with these sides. Moreover, there are right triangles whose sides are commensurable: the 3-4-5 right triangle is most well known. See Pythagorean triples from the Dr. Math FAQ: these are sets of integers that are the sides of right triangles. http://mathforum.org/dr.math/faq/faq.pythag.triples.html

16. History Of Greek Mathematicians- Brief Overview :: Essays And Term Papers A short history of the great greek mathematicians. History of greek mathematiciansbrief overview. A short history of the great greek mathematicians. http://www.academon.com/lib/paper/443.html

Free Term Paper Abstract Please use the links below if you came to this page directly from a search engine or another site: BUY THIS TERM PAPER LOOK FOR MORE RESEARCH PAPERS, ESSAYS AND BOOK REPORTS History of Greek Mathematicians- brief overview A short history of the great Greek mathematicians. Amongst those discussed are Pythagoras, Zeno, Euclid, Hippocrates, and Thales. Term Paper #: # of words: # of sources: Written: Price: Author: EllasIsKing Author's background: Abstract A short history of the great Greek mathematicians. Amongst those discussed are Pythagoras, Zeno, Euclid, Hippocrates, and Thales. This essay is a brief overview of their major contributions to modern mathematics. Keywords GREEK HIPPOCRATES MATHEMATICIANS MATHEMATICS PYTHAGORAS THALES ZENO Related Searches Term papers on History of Greek Mathematicians- brief overview Essays on History of Greek Mathematicians- brief overview Research papers on History of Greek Mathematicians- brief overview Student papers on History of Greek Mathematicians- brief overview Book reports on History of Greek Mathematicians- brief overview Dissertation / Thesis on History of Greek Mathematicians- brief overview Articles written on History of Greek Mathematicians- brief overview The Term Paper Library This Free Term Paper Abstract is a part of our Term Paper Library. Here you can purchase research papers, examples of essays, academic dissertations, articles, notes, analytical papers, book reports, stories and poems. We have thousands of persuasive, point-of-view, narrative, critical, compare and contrast and other types of essays in our Library.

17. Math Lair - Greek Mathematicians Click Here! greek mathematicians and Philosophers. Some of thesedates are necessarily approximate. Thales 634548 Pythagoras 580 http://www.stormloader.com/ajy/greekdates.html

Greek Mathematicians and Philosophers Some of these dates are necessarily approximate. Thales Pythagoras Parmenides Zeno Socrates Plato Theatetus Xenocrates Aristotle Euclid Archimedes Conon Eratosthenes Apollonius Last updated May 21, 2001. URL: http://www.stormloader.com/ajy/greekdates.html For questions or comments email James Yolkowski Math Lair home page

18. Timeline Of Greek Mathematicians Click Here! Mathematician Thales Pythagoras Parmenides Zeno Plato Theatetus XenocratesAristotle Euclid Archimedes Eratosthenes Apollonius Click Here! http://www.stormloader.com/ajy/grk_timeline.html

Mathematician Thales Pythagoras Parmenides Zeno Plato Theatetus Xenocrates Aristotle Euclid Archimedes Eratosthenes Apollonius

19. North Bethesda MS 6TH GRADE MATH greek mathematicians. PATHFINDER. For example, if your topic isEuclid, you might want to put in Euclid instead of greek mathematicians . http://www.mcps.k12.md.us/schools/northbethesdams/greek.html

6TH GRADE MATH: GREEK MATHEMATICIANS PATHFINDER Pathfinders will help you find information on the Internet and in the Media Center about your topic. Search as many places as necessary in order to gather information for your research. To help you with this process, refer to the Search Engine Strategy Plan which will make your list of hits more on target. In the media center students will learn about the resources available to them. They will follow the steps below and then then access the print and non print information. Notes will be taken on their worksheets. Step 1: Choosing key words Step 2: Using specialized Online sources - online services Step 3: Using Internet Links Step 4: Using search engines Step 5: Using Media Center resources Step 6: Citing electronic sources Key Words Remember that you are searching for specific information on your mathematician. You will want to use key words that bring you to the most specific sites. For example, if your topic is Euclid

20. Chalk Board Math Resources For Students St. Andrews, Scotland); The History of Mathematics (Trinity College,Dublin); Index of greek mathematicians (St.Andrews.ac.uk); Greek http://www.hitmill.com/math.html

hitmill.com/ Search Sports News Travel ... Home Chalk Board: Math Links Math Resources for Students, Educators The Abacus Algebra Calculators Geometry ... Other Math-Related Links REFERENCE: Guide to Available Mathematical Software (nist.gov) JOMA: Journal of Online Mathematics and Its Applications Math Archives (utk.edu) Internet Mathematics Library (mathforum.org) Mathematics Online Bookshelf History of Mathematics The History of Calculating (webcom.com) Calculating Machines (webcom.com) The Ways of Counting (Philip Emeagwali) History of Mathematics (ClarkU.Edu) Library History of Science, Technology, and Medicine (Virtual Center) The MacTutor History of Mathematics Archive (U. of St. Andrews, Scotland) The History of Mathematics (Trinity College, Dublin) Index of Greek Mathematicians (St.Andrews.ac.uk) Greek Mathematics (Chris Weinkopf) (tufts.edu) Greek Mathematics and Its Modern Heirs (ibiblio.org) Mathematics: Ancient Science and Its Modern Fates Ibid. Readings in Ancient Greek Mathematics (tamu.edu) Famous Mathematicians Ibid. Open Directory Project: Mathematicians (DMOZ.org)

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