1. Buoyancy Offers a short summary of the scholar's life. Also provides a detailed look at his theory of flotation. http://www.engineering.usu.edu/jrestate/workshop/buoyancy.htm

Graduate Credit Workshop Buoyancy Home Archimedes of Syracuse: The Father of Buoyancy People have been aware of objects floating on water (or sinking) since before recorded history. It was not until Archimedes of Syracuse came along, that the theory of flotation and the buoyancy principle were defined. Archimedes was born at Syracuse on the island of Sicily in 287 BC. His father is thought to have been an astronomer, and as a young boy, Archimedes developed a life-long interest in the study of the heavens. As a youth he traveled to Egypt where he studied at the great Library of Alexandria. Archimedes is often described as being absentminded, self-absorbed, and somewhat eccentric. Despite these personal attributes, he was recognized in his own time as a genius, and is revered today as one of the greatest figures in the history of science and mathematics. Archimedes' first love was mathematics. He would often spend days so intently fixed on solving a problem that he neglected both food and his person to the point that his friends would carry him kicking and fighting to the bath. He often stooped to the ground to work mathematical problems by drawing figures in the dirt. He is even said to have carried a small wooden tray filled with sand, which he used to draw his figures and work on his mathematical problems. This tray would have been Archimedes' version of the modern lap top computer. Of course, such a device is not without its problems: A strong wind could blow away a brilliant proof; a bully could kick a theorem into your face, and should a cat wander into the tray, the outcome could be too disgusting to contemplate.

2. Archimedes Home Page Branch of Science " Mathematicians Nationality " Greek archimedes of syracuse (ca. 287ca. 212 BC) Greek mathematician who flourished in Sicily. He is generally considered to be the greatest mathematician of ancient times. Most of the facts about http://www.mcs.drexel.edu/~crorres/Archimedes/contents.html

Detail of a painting by Jusepe de Ribera (Spanish 1591-1652) in the Museo del Prado (Madrid, Spain) 125 x 81 cm Enlargements: 352 x 480 pixels, 30K 1457 x 1985 pixels, 269K Spanish postage stamp: March 24, 1963 Scott Catalogue Number 1159 378 x 430 pixels, 56K 757 x 861 pixels, 208K This site is a collection of Archimedean miscellanea under continual development with the following contents . . . Timeline Siege of Syracuse Archimedes' Claw New! Death of Archimedes Tomb of Archimedes Burning Mirrors The Golden Crown Archimedes Screw Stomachion The Cattle Problem Archimedean Solids Spheres and Planetaria The Lever Royal Family of Syracuse Coins of Syracuse Books on Archimedes Archimedes Crater Stamps of Archimedes Pictures of Archimedes New! Quick facts about Archimedes . . . Born About 287 BC in Syracuse , Sicily. At the time Syracuse was an independent Greek city-state with a 500-year history. Died 212 or 211 BC in Syracuse when it was being sacked by a Roman army. He was killed by a Roman soldier who did not know who he was.

3. History Of Mathematics - Archimedes Of Syracuse Enjoy a profile of Archimedes, widely believed to be the greatest mathematician of antiquity. Learn about his many mathematical achievements. archimedes of syracuse. Born 287 BC in Syracuse, Sicily http://www.math.tamu.edu/~don.allen/history/archimed/archimed.html

Next: About this document Archimedes of Syracuse Born: 287 BC in Syracuse, Sicily Died: 212 BC in Syracuse, Sicily Archimedes, the greatest mathematician of antiquity, made his greatest contributions in geometry. His methods anticipated the integral calculus 2,000 years before Newton and Leibniz. He was the son of the astronomer Phidias and was close to King Hieron and his son Gelon, for whom he served for many years. He was an accomplished engineer but loved pure mathematics. Stories from Plutarch, Livy, and others describe machines invented by Archimedes for the defense of Syracuse. These include the catapult, the compound pulley and a burning-mirror. Among Archimedes most famous works is Measurement of the Circle , in which he determined the exact value of to be between the values and . This he obtained by circumscribing and inscribing a circle with regular polygons having 96 sides. However, he required the proof of two fundamental relations about the perimeters and areas of inscribed and circumscribed regular polygons. The computation.

4. Archimedes archimedes of syracuse. Born 287 BC in Syracuse, Sicily Died 212 BCin Syracuse, Sicily. Archimedes was a native of Syracuse, Sicily. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Archimedes.html

Archimedes of Syracuse Born: 287 BC in Syracuse, Sicily Died: 212 BC in Syracuse, Sicily Click the picture above to see ten larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Archimedes ' father was Phidias, an astronomer. We know nothing else about Phidias other than this one fact and we only know this since Archimedes gives us this information in one of his works, The Sandreckoner. A friend of Archimedes called Heracleides wrote a biography of him but sadly this work is lost. How our knowledge of Archimedes would be transformed if this lost work were ever found, or even extracts found in the writing of others. Archimedes was a native of Syracuse, Sicily. It is reported by some authors that he visited Egypt and there invented a device now known as Archimedes' screw . This is a pump, still used in many parts of the world. It is highly likely that, when he was a young man, Archimedes studied with the successors of Euclid in Alexandria. Certainly he was completely familiar with the mathematics developed there, but what makes this conjecture much more certain, he knew personally the mathematicians working there and he sent his results to Alexandria with personal messages. He regarded Conon of Samos, one of the mathematicians at Alexandria, both very highly for his abilities as a mathematician and he also regarded him as a close friend.

5. Archimedes Detailed biography along with related links. http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Archimedes.html

Archimedes of Syracuse Born: 287 BC in Syracuse, Sicily Died: 212 BC in Syracuse, Sicily Click the picture above to see ten larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Archimedes ' father was Phidias, an astronomer. We know nothing else about Phidias other than this one fact and we only know this since Archimedes gives us this information in one of his works, The Sandreckoner. A friend of Archimedes called Heracleides wrote a biography of him but sadly this work is lost. How our knowledge of Archimedes would be transformed if this lost work were ever found, or even extracts found in the writing of others. Archimedes was a native of Syracuse, Sicily. It is reported by some authors that he visited Egypt and there invented a device now known as Archimedes' screw . This is a pump, still used in many parts of the world. It is highly likely that, when he was a young man, Archimedes studied with the successors of Euclid in Alexandria. Certainly he was completely familiar with the mathematics developed there, but what makes this conjecture much more certain, he knew personally the mathematicians working there and he sent his results to Alexandria with personal messages. He regarded Conon of Samos, one of the mathematicians at Alexandria, both very highly for his abilities as a mathematician and he also regarded him as a close friend.

6. Archimedes Discusses in detail the life, accomplishments, and death of ancient Greek philosopher archimedes of syracuse. archimedes of syracuse. Born 287 BC in Syracuse, Sicily http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Archimedes.html

Archimedes of Syracuse Born: 287 BC in Syracuse, Sicily Died: 212 BC in Syracuse, Sicily Click the picture above to see ten larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Archimedes ' father was Phidias, an astronomer. We know nothing else about Phidias other than this one fact and we only know this since Archimedes gives us this information in one of his works, The Sandreckoner. A friend of Archimedes called Heracleides wrote a biography of him but sadly this work is lost. How our knowledge of Archimedes would be transformed if this lost work were ever found, or even extracts found in the writing of others. Archimedes was a native of Syracuse, Sicily. It is reported by some authors that he visited Egypt and there invented a device now known as Archimedes' screw . This is a pump, still used in many parts of the world. It is highly likely that, when he was a young man, Archimedes studied with the successors of Euclid in Alexandria. Certainly he was completely familiar with the mathematics developed there, but what makes this conjecture much more certain, he knew personally the mathematicians working there and he sent his results to Alexandria with personal messages. He regarded Conon of Samos, one of the mathematicians at Alexandria, both very highly for his abilities as a mathematician and he also regarded him as a close friend.

7. References For Archimedes SH Hollingdale, archimedes of syracuse a tribute on the 22nd century of his death,Bulletin Institute of Mathematics and its Applications 25 (9) (1989), 217 http://www-gap.dcs.st-and.ac.uk/~history/References/Archimedes.html

References for Archimedes Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: A Aaboe, Episodes from the early history of mathematics (Washington, D.C., 1964). R S Brumbaugh, The philosophers of Greece (Albany, N.Y., 1981). H Bernhard, Archimedes, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983). E J Dijksterhuis, Archimedes (Copenhagen, 1956 and Princeton, NJ, 1987). T L Heath, A history of Greek mathematics II (Oxford, 1931). Danske Vid. Selsk. Mat.-Fys. Medd. W R Knorr, Archimedes and the pseudo-Euclidean 'Catoptrics' : early stages in the ancient geometric theory of mirrors, Arch. Internat. Hist. Sci. S Ya Lur'e, Archimedes (Russian) (Moscow-Leningrad, 1945). E Rufini, (Milan, 1961). I Schneider, Archimedes : Ingenieur, Naturwissenschaftler und Mathematiker (Darmstadt, 1979). E S Stamatis, The burning mirror of Archimedes (Greek) (Athens, 1982). Articles: A Aaboe and J L Berggren, Didactical and other remarks on some theorems of Archimedes and infinitesimals, Centaurus Texas J. Sci.

8. Archimedes Of Syracuse (ca. 287-ca. 212 BC) -- From Eric Weisstein's World Of Sc archimedes of syracuse (ca. 287ca. 212 BC), Greek mathematician whoflourished in Sicily. He is generally considered to be the greatest http://scienceworld.wolfram.com/biography/Archimedes.html

Branch of Science Mathematicians Nationality Greek Archimedes of Syracuse (ca. 287-ca. 212 BC) Greek mathematician who flourished in Sicily. He is generally considered to be the greatest mathematician of ancient times. Most of the facts about his life come from a biography about the Roman soldier Marcellus written by the Roman biographer Plutarch. Archimedes performed numerous geometric proofs using the rigid geometric formalism outlined by Euclid , excelling especially at computing areas and volumes using the method of exhaustion He was especially proud of his discovery for finding the volume of a sphere showing that it is two thirds the volume of the smallest cylinder that can contain it. At his request, the figure of a sphere and cylinder was engraved on his tombstone. In fact, it is often said that Archimedes would have invented calculus if the Greeks had only possessed a more tractable mathematical notation. By inscribing and circumscribing polygons on a circle for instance, he was able to constrain the value of pi ) between 3 10/71 and 3+1/7.

9. Wave EquationYou're Not Using A Java-enabled Browser. Utt = Uxx Use Mouse Click Analog device simulation for drawing ellipses archimedes of syracuse is popularily known for the law he discovered on occasion of taking his bath. http://www.oslo.sintef.no/NAM/people/gwz/java/wave.html

10. TMTh:: ARCHIMEDES OF SYRACUSE MATHEMATICIAN archimedes of syracuse (fl. 287212 BC) Life Archimedes,the greatest mathematician of the ancient world and the greatest http://www.tmth.edu.gr/en/aet/1/13.html

Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ... PHYSICISTS MATHEMATICIAN ARCHIMEDES OF SYRACUSE (fl. 287-212 BC) Life A commentary on Archimedes is found in the work of 6th century writer Eutocius of Ascalon, who also mentions a biography (now lost) of the celebrated mathematician written by Heraclides. Work The principal extant works are: "On the Sphere and Cylinder": books I and II. Book I: Quadrature of the parabola, 6 definitions, 5 propositions (the 5th is the axiom of continuity), 44 theorems. "Measurement of the Circle": 3 theorems are preserved. "On Conoids and Spheroids": The book contains 32 theorems and 1 corollary following the 6th theorem. Some of the theorems use trigonometric functions and integral calculus. "On Spirals": The book contains 28 theorems and 6 corollaries. "On the Equilibrium of Planes or Centres of Gravity of Planes or Mechanics": Books I and II. Book I: Theory of levers. Contains 7 postulates, 15 theorems and 2 corollaries following the 5th theorem. Book II: Centre of gravity of paraboloid plane sections. 10 theorems. "The Sand-Reckoner" "Quadrature of the Parabola" "On Floating Bodies" (Hydrostatics) "On the Method of Mechanical Theorems" "Book of Lemmas" "The Cattle Problem" "On the Heptagon in a Circle" "The Water Clock" "On Tangential Circles" "Principles of Geometry" Lost works: "On Triangles" "On Quadrangles" "On 13 semi-regular solids" "Arithmetic" "On Balances or Levers" "Centres of Gravity" "On Sundials" "Catoptrica" (Optics) "Isoperimetrics"

11. Archimedes archimedes of syracuse. 287 BC 212 BC Born and died Syracuse, Sicily.Welcome Archimedes was a native of Syracuse, Sicily. Stories http://physics.hallym.ac.kr/reference/physicist/Archimedes.html

Archimedes of Syracuse 287 BC - 212 BC Born and died Syracuse, Sicily. Welcome page Instructions Birthplace map Mathematicians of the day ... Previous (Chronologically) Next Chronological Index Previous ( Alphabetically) Next Alphabetical Index Archimedes greatest contributions were in geometry. His methods anticipated the integral calculus 2,000 years before Newton and Leibniz Archimedes was a native of Syracuse, Sicily. Stories from Plutarch, Livy, and others describe machines invented by Archimedes for the defence of Syracuse. These include the catapult, the compound pulley and a burning-mirror. Among Archimedes most famous works is Measurement of the Circle , in which he put the exact value of between the values 310/71 and 31/7. This he obtained by circumscribing and inscribing a circle with regular polygons having 96 sides. Archimedes greatest contributions were in geometry. His methods anticipated the integral calculus 2,000 years before Newton and Leibniz . Archimedes proved that the volume of a sphere is two-thirds the volume of a circumscribed cylinder. This he considered his most significant accomplishments, requesting that a representation of a cylinder circumscribing a sphere be inscribed on his tomb. Archimedes discovered fundamental theorems concerning the centre of gravity of plane figures and solids. His most famous theorem gives the weight of a body immersed in a liquid, called Archimedes' principal.

12. Archimedes - Archimedes Of Syracuse - Greek Mathematician Archimedes New A comprehensive site on Archimedes whose evolving collection of Archimedean miscellaneaincludes a timeline, Siege of Syracuse, Archimedes' Claw, Death of http://ancienthistory.about.com/cs/archimedes/

zfp=-1 About History Ancient/Classical History Search in this topic on About on the Web in Products Web Hosting in partnership with Ancient/Classical History with N.S. Gill Your Guide to one of hundreds of sites Home Articles Forums ... Help zmhp('style="color:#fff"') This Week's Articles tod('tih'); Today in History Daily Quiz tod('pod'); Picture of the Day Special Subscription Offers Subscribe Now Choose One: Subscribe Customer Service Subjects A to Z COLOSSEUM Cleopatra Pictures WEAPONS WARFARE ... All articles on this topic Stay up-to-date! Subscribe to our newsletter. Advertising Free Credit Report Free Psychics Advertisement Archimedes Resources on Archimedes. Archimedes was a Greek mathematician from Syracuse. Archimedes Introduction to Archimedes. Review of the Sand Reckoner The original Sand Reckoner was a now lost monograph by Archimedes. This historical fiction is by Gillian Bradshaw, reviewed by Irene Hahn. Archimedes A comprehensive site on Archimedes whose evolving collection of Archimedean miscellanea includes a timeline, Siege of Syracuse, Archimedes' Claw, Death of Archimedes, The Golden Crown, Archimedes Screw, Stomachion, The Cattle Problem, Archimedean Solids, Spheres and Planetaria, The Lever, Royal Family of Syracuse, Coins of Syracuse, Books on Archimedes, and Archimedes Crater. Archimedes Ancient Manuscript Newspaper articles from October 29, 1998, on an ancient manuscript of Archimedes that sold for $2 million following a court decision on ownership.

13. About "Archimedes Of Syracuse" archimedes of syracuse. Library Home Full Table of Contents Suggesta Link Library Help Visit this site http//www.terraworld http://mathforum.org/library/view/4465.html

Archimedes of Syracuse Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.terraworld.net/users/d/devans/Archimed.htm Author: Dave Evans Description: A page of general information about Archimedes, Syracuse and its history, the University of Alexandria, Euclid, Archimedes' Principle, Pi, and his works. Levels: High School (9-12) Languages: English Math Topics: Pi History and Biography Philosophy Physics ... Search http://mathforum.org/ webmaster@mathforum.org

14. Math Forum: Teacher Support - Balancing Mobiles top. Other Resources Archimedes Home Page - by Chris Rorres - Archimedesof Syracuse - Don Allen - archimedes of syracuse - University of St. http://mathforum.org/pow/support/pow5.teacher.html

BACK Teacher Support for Balancing Mobiles Dr. Math Other Resources Standards In the Balancing Mobiles problem students are asked to apply Archimedes' Law of the Lever to find the weight of each part of a mobile so that it will balance. This PoW could be used to introduce and/or reinforce the idea of balance which can be used as students work with algebraic equations. If you have something to share with us as you use any of the links or suggestions on this page (something you tried and changed or a new idea), we would love to hear from you. Please email us. Ask Dr. Math Archives: 3 Weighings Problem Measurement and Comparison Three Weights [top] Other Resources Archimedes Home Page - by Chris Rorres Archimedes of Syracuse - Don Allen Archimedes of Syracuse - University of St. Andrews, Scotland Archimedes (mathematician) - The Hutchinson Family Encyclopedia Lever - Champlain Valley Union High School Which is heavier? - Doug Craigen [top] Alignment to the NCTM Standards - Grades 6-8 - understand numbers, ways of representing numbers, relationships among numbers, and number systems Algebra - understand patterns, relations, and functions

15. Archimedes, Of Syracuse Archimedes, of Syracuse. Biographical Information. Occupation, Sphere of Activity.archimedes of syracuse (c287212 BC) was a mathematician and inventor. http://www.nahste.ac.uk/isaar/GB_0237_NAHSTE_P1090.html

Archimedes, of Syracuse Biographical Information Occupation, Sphere of Activity Archimedes of Syracuse ( c287-212 BC ) was a mathematician and inventor. His father was Pheidias, an astronomer, of which we know nothing. While he is famous now, as he was then, largely because of his inventions, it is reported that he despised invention as being less "pure" than geometry, and he never wrote about his creations. Little is known about his life, though he is described by some as having been a relative - by others as a close friend - of Hiero (or Hieron) II, King of Syracuse, who employed him as a tutor to his son. He almost certainly spent a part of his life studying in Alexandria - where he is thought to have played an important role in the development of Euclidian mathematics. It is probably here that he met Conon of Samos, who he remained in correspondence with as a personal as well as professional friend. He wrote a number of books, ten of which have survived largely intact. These deal mostly with geometrical problems - particularly centres of gravity of solids, studies of spheres and conical sections, spirals and other mathematical matters. Among his propositions, particularly interestingly, are an approximation of 'pi' - which he reached after circumscribing and inscribing a circle with two 96-sided polygons, an explanation of the law of levers, a foundation for theoretical mechanics, a means of accurately approximating square roots of large numbers, a precursor to Newton and Leibniz's calculus and a proposed system of numbering for large figures which went high enough - 8x10^16 in modern notation - to count to a higher number than the number of grains of sand that would fill the universe - or so Archimedes believed.

16. Archimedes Of Syracuse | 287-212 BC | Sicillian Mathematician archimedes of syracuse 287212 BC Sicillian mathematician. Biographicalinformation. Gregory Papers (1675-1713); Some notes about http://www.nahste.ac.uk/pers/a/GB_0237_NAHSTE_P1090/

the project the collections biographies multimedia the project the collections biographies multimedia ... Lectio ... Isaaci Barrow ... in Libros Archimedis

17. Archimedes - Wikipedia archimedes of syracuse, c. 287 212 BC, was a mathematician, physicist andengineer. Archimedes is one of the greatest mathematicians of all time. http://www.wikipedia.org/wiki/Archimedes

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Other languages: Deutsch Nederlands Polski Esperanto Archimedes From Wikipedia, the free encyclopedia. Archimedes of Syracuse, c. 212 BC , was a mathematician physicist and engineer Archimedes is one of the greatest mathematicians of all time. He became a popular figure as a result of his involvement in the defense of Syracuse against the Roman siege in the first and second punic wars . He is reputed to have held the Romans at bay single-handedly with war engines of his design; to have been able to move a full-size ship complete with crew and cargo by pulling a single rope; to have discovered the principle of buoyancy while taking a bath, taking to the streets naked calling "eureka" (I found it!); and to have invented the irrigation device known as Archimedes' screw In creativity and insight, he exceeds any other mathematician prior to the European

18. Archimedes Palimpsest - Wikipedia is a palimpsest on parchment, on which an otherwise unknown work of the ancient mathematician,physicist, and engineer archimedes of syracuse, who lived in the http://www.wikipedia.org/wiki/Archimedes_Palimpsest

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Archimedes Palimpsest From Wikipedia, the free encyclopedia. The Archimedes Palimpsest is a palimpsest on parchment , on which an otherwise unknown work of the ancient mathematician physicist , and engineer Archimedes of Syracuse , who lived in the third century BC , was written in the 10th century . In the 12th century it was imperfectly erased in order that a liturgical text could be written on the parchment, and Archimedes' work is still legible today. In it was transcribed by the Danish philologist Johan Ludvig Heiberg , and shortly thereafter it was translated into English by Thomas Heath Although the only mathematical tools at its author's disposal were what we might now consider secondary-school geometry , he used those methods with rare brilliance, explicitly using infinitesimals to solve problems that would now be treated by integral calculus. Among those problems were that of the

19. Archimedes Archimedes Geometer, 287 212 BC. archimedes of syracuse is consideredone of the greatest thinkers of the ancient world. He established http://www.ga.k12.pa.us/academics/US/Math/Millar/Archimedes/Daeubler.htm

Mathematical Legends Biographical Sketches of Mathematical Giants Archimedes Geometer 287 - 212 B.C. Archimedes of Syracuse is considered one of the greatest thinkers of the ancient world. He established the principles of plane and solid geometry, discovered the concept of specific gravity, conducted experiments on buoyancy, and demonstrated the power of mechanical advantage. His discoveries serve as the foundation of much of what we know today. An Interview by Constructed by Keri Daubler '99. Spring 1998. Q: Before we discuss your mathematical discoveries, could you briefly describe your life? A: I was born in Syracuse, Sicily, in 287 B.C., and was the son of Pheidias, an astronomer. I knew King Hieron II and his son, Gelon, very well. I traveled to Alexandria, a great center of learning for mathematicians, early in my life to study under Canon and other mathematicians who had studied under Euclid. Unlike many of my counterparts, I returned home rather than staying in Alexandria, and devoted the rest of my life to a serious study of math, physics, and the design of many mechanical devices. Q: How would you describe your life as a mathematician?

20. Demonstration Of The Archimedes' Solution To The Trisection Problem Angle Trisection by archimedes of syracuse (circa 287 212 BC) Archimedesof Syracuse is popularily known for the law he discovered http://www.cut-the-knot.com/pythagoras/archi.shtml

CTK Exchange Front Page Movie shortcuts Personal info ... Recommend this site Angle Trisection by Archimedes of Syracuse (circa 287 - 212 B.C.) Archimedes of Syracuse is popularily known for the law he discovered on occasion of taking his bath . "Eurika" he exclaimed and made it into the history. (Along with Newton and Gauss he is counted among the greatest mathematicians of all times. As an engineer he frustrated numerous attempts by the Romans to capture the city of Syracuse.) The problem of constructing an angle equal to the one third of the given one has been pondered since the times of antiquity. Probably to make the notion of 'geometric construction' more exciting the Ancient Greeks have restricted the allowed operations to using a straightedge and a compass. It's thus specifically forbidden to use a ruler for the sake of measurement. Three famous construction problems lingered until early 19th century when it was shown that it's impossible to solve them with the help of only a straightedge and a compass. The three problems are: to trisect a given angle, to double a cube, and to square a circle . However, one illicit solution that has been found in the works of Archimedes is demonstrated below.

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

Page 1     1-20 of 93    1  | 2  | 3  | 4  | 5  | Next 20