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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

Extractions: 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.

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

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

Extractions: Chris Weinkopf Greek Mathematics April 19, 1995 Look at the comments on this paper. 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. 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

Extractions: 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

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

Extractions: 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

Extractions: 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: 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

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

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

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

Extractions: 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

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/

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

Extractions: 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. 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

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

Extractions: 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

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

Extractions: Associated Topics Dr. Math Home Search Dr. Math 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.

Extractions: ESSAYS AND BOOK REPORTS 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: 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. GREEK HIPPOCRATES MATHEMATICIANS MATHEMATICS PYTHAGORAS THALES ZENO Term papers on History of Greek Mathematicians- brief overview Articles written on History of Greek Mathematicians- brief overview 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

18. Timeline Of Greek Mathematicians

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 