21. Ancient Mathematicians Eratosthenes was a Greek mathematicians known for such things as measuring the circumference of the earth. http://ancienthistory.about.com/od/mathematicians/Mathematicians_Ancient_Mathema

zWASL=1 zGL='0';zGR='ca-about-radlink'; zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') zDO=0 Home Education Ancient / Classical History Ancient / Classical History Search Ancient History Wars Filed In: People and Places People Mathematicians - Ancient Mathematicians Ancient builders and others needed good techniques for measurement. Ancient mathematics is one of the many fields in which the ancient philosophers and other thinkers excelled. Claudius Ptolemy (4) Euclid (2) Pythagoras @ Discoveries in Science Made by Ancient Greek Scientists The Greeks developed philosophy as a way of understanding the natural world without resorting to myth or magic. Early Greek philosophers were also scientists. Many of their discoveries and inventions are still used today. zSB(3,3) Archimedes Basic information on Archimedes, the Greek mathematician of Syracuse. Eratosthenes - Greek Mathematician Eratosthenes Eratosthenes was a Greek mathematicians known for such things as measuring the circumference of the earth. Eudoxus Eudoxus was an important mathematician who lived around the time of Plato and Aristotle. Hippocrates of Chios Hippocrates of Chios, who lived about the same time as the medical Hippocrates, wrote the first known work on geometry.

22. Early Greek Mathematicians Early Greek Mathematicians. Have you ever wondered who was responsible for making those complicated theorems that we use in geometry and algebra? 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

23. Ancient Greek Mathematics - History For Kids! Instead, Greek mathematicians were more focused on geometry, and used geometric methods to solve problems that you might use algebra for. http://www.historyforkids.org/learn/greeks/science/math/

Ancient Greek Mathematics for Kids - what math did the Greeks invent? what math did the Greeks learn from other people? why is it important? Ancient 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 like the Egyptians and Babylonians 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.

24. Ancient Greek Mathematics - Crystalinks Greek mathematics, as that term is used in this article, is the mathematics developed from the 6th century BC to the 5th century AD around the shores of the Mediterranean. http://www.crystalinks.com/greekmath.html

Greek mathematics, as that term is used in this article, is the mathematics developed from the 6th century BC to the 5th century AD around the shores of the Mediterranean. It constitutes a major period of the history of mathematics, fundamental in respect of geometry and the idea of formal proof. Greek mathematics also contributed importantly to ideas on number theory, mathematical analysis, applied mathematics, and, at times, approached close to integral calculus. Mathematical developments took place in Greek-speaking centers as far apart as Sicily and Egypt, and with a high estimation of the intellectual and cultural status of mathematics (for example in the school of Plato). Greek mathematics has origins that are presumed to go back to the 7th century BC, but are not easily documented. It is generally believed that it built on the computational methods of earlier Babylonian and Egyptian mathematics, and it may well have had Phoenician influences. Some of the most well-known figures in Greek mathematics are Pythagoras, a shadowy figure from the isle of Samos associated partly with number mysticism and numerology, but more commonly with his theorem, and Euclid, who is known for his Elements, a canon of geometry for centuries. The Sand Reckoner by Archimedes bespeaks a man who made major discoveries, and whose originality and accomplishments are commonly reckoned to be on par with those of Isaac Newton and C. F. Gauss.

25. Aristotle And Mathematics > Aristotle And Greek Mathematics (Stanford Encycloped Greek mathematicians wisely avoided nonuniform magnitudes which could not be reduced to uniform magnitudes. The reason for this has partly to do with the difficulty of http://plato.stanford.edu/entries/aristotle-mathematics/supplement4.html

Cite this entry Search the SEP Advanced Search Tools ... Stanford University Supplement to Aristotle and Mathematics Aristotle and Greek Mathematics This supplement provides some general indications of Aristotle's awareness and participation in mathematical activities of his time. Greek mathematics in Aristotle's Works Here are twenty-five of his favorite propositions (the list is not exhaustive). Where a proposition occurs in Euclid's Elements , the number is given, * indicates that we can reconstruct from what Aristotle says a proof different from that found in Euclid). Where the attribution is in doubt, I cite the scholar who endorses it. In many cases, the theorem is inferred from the context. In a given circle equal chords form equal angles with the circumference of the circle ( Prior Analytics i.24; not at all Euclidean in conception) The angles at the base of an isosceles triangle are equal ( Prior Analytics i.24; Eucl. i.5*). The angles about a point are two right angles ( Metaphysics ix 9; Eucl. follows from i def. 10). If two straight-lines are parallel and a straight-line intersects them, the interior angle is equal to the exterior angle (

26. Greek Mathematics GREEK MATHEMATICIANS. The ancient Greeks were very interested in scientific thought. They were not satisfied with just knowing the facts; they wanted to know the why and how. http://atschool.eduweb.co.uk/sirrobhitch.suffolk/Portland State University Greek

GREEK MATHEMATICIANS The ancient Greeks were very interested in scientific thought. They were not satisfied with just knowing the facts; they wanted to know the why and how. It should be no surprise that the Greeks were extremely successful in the area of mathematics. The mathematics we use today, and its content, are for the most part Greek. The Greeks laid down the first principles, and invented methods for solving problems. Though most people don't realize it, mathematics is a Greek science - regardless of what modern day analysis might bring. When people look back on Greek genius, they may naturally call to mind masterpieces in Greek literature and art . But the Greeks, with their insatiable desire to know the true meaning of everything and give a rational explanation of it, were irresistibly drawn to the sciences, exact reasoning in general, and logic. There are many famous Greek names in mathematics. One of which is Aristotle , who said he could conceive of nothing more beautiful than the objects of mathematics. Plato , delighted in geometry and the wonders of numbers, inscribed, "let no one destitute of geometry enter my doors" over the entrance to his academy.

27. Perseus Digital Library Welcome to Perseus 4.0, also known as the Perseus Hopper. Read more on the Perseus version history. New to Perseus? Click here for a short tutorial. http://www.perseus.tufts.edu/hopper?redirect=true

28. Greek Mathematics And Its Modern Heirs 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 mathematics http://www.ibiblio.org/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

29. Greek Mathematicians Names | TutorVista Geometry is the branch of mathematics that studies figures constructed with the use of the straightedge and the compass. Aristotle involved in the theoretical geometry to study http://www.tutorvista.com/topic/greek-mathematicians-names

30. Greek Mathematicians - Ask.com Top questions and answers about GreekMathematicians. Find 22 questions and answers about Greek-Mathematicians at Ask.com Read more. http://www.ask.com/questions-about/Greek-Mathematicians

31. Greece - Greek Math Resources on ancient Greek mathematics, calculations, geometry, and on Zeno, Archimedes, and Roman numerals. http://ancienthistory.about.com/od/greekmath/Greece_Greek_Math.htm

zWASL=1 zGL='0';zGR='ca-about-radlink'; zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') zDO=0 Home Education Ancient / Classical History Ancient / Classical History Search Ancient History Wars Filed In: Philosophy / Science Mathematics Resources on ancient Greek mathematics, calculations, geometry, and on Zeno, Archimedes, and Roman numerals. Hippocrates of Chios Hippocrates of Chios, who lived about the same time as the medical Hippocrates, wrote the first known work on geometry. Archimedes Archimedes probably studied mathematics in Alexandria with the successors of Euclid. The name Archimedes is connected to a pumping device now known as a Archimedes Screw, which he may have seen in operation in Egypt. zSB(3,3) Abacus - Base 10 and Greek Counting If the ancient Greeks used letters for their numbers, were they able to and did they use a counting system like an abacus that relies on a base like the decimal system? Finger Counting Counting on one's fingers seems a natural way to compute numbers, but the Greeks and Romans didn't just count "on" their fingers. They counted with their fingers, and not to be quick and accurate with the finger symbols could be embarrassing.

32. Howstuffworks "Ancient Greek Mathematicians" The Ancient Greek Mathematicians section provides information on notable Greek figures in the field of mathematics. Learn about ancient Greek mathematicians. http://history.howstuffworks.com/ancient-greece/ancient-greek-mathematicians.htm

HSW.sm.loadPageInfo(442630); OAS_AD('TopBanner'); HowStuffWorks Search HowStuffWorks and the web Video Podcasts Blogs Quizzes Games RSS Adventure Animals Auto Culture ... Mathematicians mathematicians library E-mail This Facebook Digg This Yahoo! Buzz ... Reddit The Ancient Greek Mathematicians section traces the histories of notable Greek figures in the burgeoning field of mathematics. These articles take you to the root of mathematical ideas. Featured Article: Hero Hero, or Heron, of Alexandria, a Greek engineer and mathematician of the first, second, or third century A.D. Articles 1-7 of 7 Alcibiades Alcibiades (450-404 B.C.), an Athenian general and statesman. His unprincipled leadership helped cause the defeat of Athens in the Peloponnesian War (43-404 B.C.). Archimedes Archimedes, (287-212 B.C.), a Greek mathematician and physicist. He was the greatest mathematician of ancient times and ranks as one of the great scientists of all times. Aristarchus of Samos Aristarchus of Samos, (310-250 B.C.), a Greek astronomer, believed to have worked in Alexandria, Egypt. Eratosthenes Eratosthenes (27-196 B.C.), a Greek geographer and astronomer. He was the first to determine the circumference of the earth.

33. Readings In Greek Mathematics How do we know about Greek mathematicians? The timeline of Greek mathematicians; Translations of Euclid's Elements. Trisectrix animation http://www.math.tamu.edu/~dallen/masters/Greek/readings4.htm

Ancient Greek Mathematics T he readings here are divided into three parts corresponding to the three periods we have identified, the early, the classical and the helenistic periods. There are many pages to read and the problems will be balanced among them. The Early Period The Origins of Mathematics; the schools Thales , by Dmitri Panchenko Thales, his Philosophy and Mathmatics Pythagoras and the Pythagoreans Anaxagorus and the Heroic Age ... Greek Enumeration and Arithmetic The Classical Period Eudoxus Euclid The Helenistic Period Archimedes Apollonius and other geometers Ancient Algebra Diophantus ... Pappus Background readings from the Internet How do we know about Greek mathematics? How do we know about Greek mathematicians? The timeline of Greek mathematicians Translations of Euclid's Elements. ... Epicycle animation. Some files are long and make take a few minutes to download. To read and print them you will need the Adobe Acrobat Reader. Each reading, in Acrobat (pdf) format, is a short paper on the aspect in question. Upon completing a reading, try to answer the questions that pertain to it.

34. Greek Sources II 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 http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Greek_sources_2.html

How do we know about Greek mathematicians? Ancient Greek index History Topics Index Version for printing 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.

35. Greek Mathematicians | Julis-vorpommern.net Wikimedia Commons has media accompanying to Ageold Greek mathematicians Pages in class Ancient Greek mathematicians The afterward 76 pages are in this category, out of 76 http://julis-vorpommern.net/greek-mathematicians.html

Home Greek Mathematicians Most Recent greek mathematicians September Category:Ancient Greek mathematicians - Wikipedia, the chargeless ... Wikimedia Commons has media accompanying to: Age-old Greek mathematicians ... Pages in class "Ancient Greek mathematicians" The afterward 76 pages are in this category, out of 76 total. ... Read more Bookmark September Greek Index Later amphitheater squarers. Some History Topics about Greek mathematics. Squaring the amphitheater ... Full List of Greek Mathematicians in our archive. Anaxagoras ... Read more Bookmark September Howstuffworks "Ancient Greek Mathematicians" The Age-old Greek Mathematicians area provides advice on notable Greek abstracts in the acreage of mathematics. Apprentice about age-old Greek mathematicians. Read more Bookmark September Greek mathematics Index Mathematicians/Astronomers. Mathematicians/Astronomers/Philosophers ... Click on a name beneath to go to that biography. Full List of Greek Mathematicians in our annal ... Read more Bookmark September Early Greek Mathematicians Early Greek Mathematicians. Accept you anytime wondered who was amenable for authoritative those complicated theorems that we use in geometry and algebra? ... To apprentice added about aboriginal Greek mathematicians, appointment the links provided below. ...

36. Euclid: Biography From Answers.com Euclid is one of the best known and most influential of classical Greek mathematicians but almost nothing is known about his life. He was a founder and member of the academy in http://www.answers.com/topic/euclid

var isReferenceAnswers = true; BodyLoad('s'); On this page Library Animal Life Health History, Politics, Society ... Technology Euclid Who2 Biography: Euclid Mathematician Home Library Miscellaneous Who2 Biographies Born: c. 325 B.C. Birthplace: Died: c. 265 B.C. Best Known As: Alexandrian mathematician and father of geometry Euclid was a mathematician whose third century B.C. textbook Elements served as the western world's unchallenged standard for two millennia. Nothing is known about Euclid's life or physical appearance, and what little is known about his career comes from inferences in later sources. It is generally agreed that he taught geometry in Hellenistic Egypt, at Alexandria during the reign of Ptolemy I, between 305 and 285 B.C. He is credited with the thirteen volumes of Elements , a work that accumulated mathematical knowledge and codified it into a deductive system of proofs. Euclidean geometry was the geometry until the 19th century, when mathematicians began to challenge Euclid's assumptions about parallel lines, for example, when considering measurements over very large distances of, say, billions of light years. Previous: Eric the Red (Explorer)

37. Greek Mathematicians Today In History eTaiwan News, Eratosthenes (The Size of the Earth 200 BC) - Carl Sagan, Trojans' folly still resonates today - Edmond Sun, Reason is the star of Agora http://www.dipity.com/timeline/Greek-Mathematicians

38. Ekathimerini.com | Greek Mathematicians Share The Aristeio Prize Exclusively available inside The International Herald Tribune in Greece and Cyprus http://www.ekathimerini.com/4dcgi/_w_articles_civ_1_10/06/2006_70796

39. Math Lair - Greek Mathematicians Greek Mathematicians and Philosophers. Some of these dates are necessarily approximate. Thales 634548 Pythagoras 580-500 Parmenides 515-450 Zeno 489-430 http://ajy.stormloader.com/greekdates.html

Free Hosting Drug Rehab Free Web Hosting Best Credit Cards 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

40. Greek Mathematicians Today In History eTaiwan News, Eratosthenes (The Size of the Earth 200 BC) - Carl Sagan, Trojans' folly still resonates today - Edmond Sun, Reason is the star of Agora http://www.dipity.com/timeline/Greek-Mathematicians/list

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