61. Re: Archimedes And Diop of Sicily writes 'What is so amazing is that they (the miners) pump the water entirelyby means of Egyptian screws that archimedes of syracuse invented during http://www.theafrican.com/Magazine/Athena/15.htm

Date: Thu, 23 May 1996 13:38:03 -0400 To: Athena Discuss Subject: Re: Archimedes and Diop FISHERGM@jmu.edu wrote: Contents Previous Next

62. Welkom Op Deze Website ! ARCHIMEDES VAN SYRACUSE archimedes van syracuse Leven Werken Hoe kijken anderen naar zijn werk Wat is bewaard gebleven Doel Terug naar hoofdpagina archimedes van syracuse Deze site werd al keer bezocht ! Made by Eveline Leman http://members.tripod.lycos.nl/Archimedes

63. Siege Of Syracuse Describes the role of archimedes and other key figures in the siege of syracuse during the Second Punic War, as well as accounts by Polybius, Livy, and Plutarch. http://www.mcs.drexel.edu/~crorres/Archimedes/Siege/Summary.html

I N T R O D U C T I O N Back to . . . Archimedes Home Page Drexel University This section . . . Introduction Polybius Livy Plutarch Dio Cassius Hiero II BC Hannibal(?) (247-183? BC Hieronymos BC Marcellus (268-208 BC Archimedes (287?-212 BC ) planning the defenses of Syracuse A t the beginning of the third century BC , the Mediterranean basin was controlled by the Carthaginians in the west and the Greeks in the east. The Romans controlled only a small area around Rome, but were poised to march. They locked horns with Carthage in the First Punic War (264-241 BC ), during which they greatly expanded their territory, although they did not capture the city of Carthage itself. The Greek city of Syracuse, where Archimedes lived, initially supported Carthage. But early in the war Rome forced a treaty of alliance from Syracuse's king, Hiero II , that called for Syracuse to pay tribute and provide grain to the Romans. T he Romans and Carthaginians renewed their antagonisms in 218 BC , the beginning of the Second Punic War. Under Hannibal, Carthage gained the first round of victories, culminating in Hannibal's crossing of the Alps into Italy (218 BC ) and his defeat of the Romans at Cannae (216 BC ). Hannibal's successes in Italy helped convince many Syracusans that they were allied with the wrong side.

64. Archimedes And Syracuse archimedes AND syracuse. archimedes helped syracuse defend itself frombeing invaded by opposing countries and empires for many years. http://www.ga.k12.pa.us/academics/MS/8th/romanhis/Forum/1999/nickw/syracuse.htm

ARCHIMEDES AND SYRACUSE Along with his contributions listed above, Archimedes also helped the people of his home, Syracuse. Syracuse is where Archimedes was born, where he lived for most of his life, and where he was killed. Archimedes helped Syracuse defend itself from being invaded by opposing countries and empires for many years. He did this with many war tactics that he invented, such as burning mirrors (shown above). In this tactic, huge mirrors were positioned in a way that light from the sun reflected off of them and concentrated a powerful beam of sunlight that was redirected at enemy ships. This act would set the ships on fire. The Syracusians won many victories this way, without a battle. Also, many other victories were won with Archimedes's war tactics. Syracuse was a Greek city-state. It was known as the center of Greek culture. Archimedes lived in Syracuse for most of his life. It was also the home of other great Greek cultural figures such as Arschylus, Pindar, and Theocritus, who all live before Archimedes's time. Syracuse, the great city-state, defeated Athens in 414 B.C. However in 212 B.C., Syracuse suffered a great loss, which included the death of one of the greatest minds ever in the world. HOME

65. IMSS - Multimedia Catalogue - Biography ARCHIMEDES archimedes was the greatest mathematician and engineer of Ancient times. He was aGreek from syracuse, who was killed when the city was besieged by the Romans. http://galileo.imss.firenze.it/museo/b/earchim.html

ARCHIMEDES Syracuse, 287 B.C. - 212 B.C. Archimedes was the greatest mathematician and engineer of Ancient times. He was a Greek from Syracuse, who was killed when the city was besieged by the Romans. His fame is linked to "Archimedes' principle", by which a body immersed in a liquid receives an upward thrust from the bottom towards the top equal to the weight of the displaced liquid. The importance of Archimedes' contribution to the history of scientific thought derives above all from the influence exercised by him on the formation and development of a method of quantitative mathematics, which was affirmed by physics at the beginning of the modern age (see Galileo Next Previous Index ... Italiano

66. Ask Jeeves: Search Results For "Archimedes The Mathematician" circle. Pi goes on http//witcombe.bcpw.sbc.edu/EMPi.html 9. archimedesarchimedes was born 287 BC in syracuse, Sicily. archimedes http://webster.directhit.com/webster/search.aspx?qry=Archimedes The Mathematicia

67. Ask Jeeves: Search Results For "Compound Pulley" Advertising for the HELLENIC communities of the World. http//www.omogenia.com/arch.htm8. archimedes archimedes was born 287 BC in syracuse, Sicily. http://webster.directhit.com/webster/search.aspx?qry=Compound Pulley

68. Archimedes The king of syracuse once asked archimedes to find a way of determining if oneof his crowns was pure gold without destroying the crown in the process. http://scidiv.bcc.ctc.edu/Math/Archimedes.html

Archimedes born: 287 BC in Syracuse, Sicily died: 212 BC in Syracuse Archimedes, who combined a genius for mathematics with a physical insight, must rank with Newton, who lived nearly two thousand years later, as one of the founders of mathematical physics. (Alfred North Whitehead) One of the greatest mathematicians of all time. Method of Exhaustion integration. "Eureka" the first law of hydrostatics. Discovered the laws of levers and used pulleys. His mechanical inventions defeated the Roman fleet of Marcellus. Archimedes was an aristocrat, the son of an astronomer, but little is known of his early life except that he studied for a time in Alexandria, Egypt. Several of his books were preserved by the Greeks and Arabs into the Middle Ages, and, fortunately, the Roman historian Plutarch described a few episodes from his life. In many areas of mathematics as well as in hydrostatics and statics, his work and results were not surpassed for over 1500 years! He found the area and tangents to the curve traced by a point moving with uniform speed along a straight line which is revolving with uniform angular speed about a fixed point. This curve, described by r = a in polar coordinates, is now called the "

69. Archimedes' Times city of Carthage itself. The Greek city of syracuse, where Archimedeslived, initially supported Carthage. But early in the war http://physics.weber.edu/carroll/Archimedes/times.htm

Historical Interlude At the beginning of the third century BC, the Mediterranean basin was controlled by the Carthaginians in the west and the Greeks in the east. The Romans controlled only a small area around Rome, but were poised to march. They locked horns with Carthage in the First Punic War (264-241 BC), during which they greatly expanded their territory, although they did not capture the city of Carthage itself. The Greek city of Syracuse, where Archimedes lived, initially supported Carthage. But early in the war Rome forced a treaty of alliance from Syracuse's king, Hiero II, that called for Syracuse to pay tribute and provide grain to the Romans. Marcellus and Hiero II The Second Punic War began in 218 BC. Hannibal crossed the Alps into Italy (218 BC) and defeated of the Romans at Cannae (216 BC). Hannibal's successes in Italy helped convince many Syracusans that they were allied with the wrong side. Hiero II honored his treaty with Rome while he lived. However, upon his death in 215 BC he was succeeded by his 15-year-old grandson Hieronymos who began negotiations with Hannibal. Hiernoymos was assassinated in 214 BC, leading to civil war in Syracuse between the pro-Carthaginian and pro-Roman factions. The pro-Carthaginian faction was eventually victorious.

70. Archimedes Plutonium Autobiography At any rate archimedes returned to syracuse, composed most of his works there,and died there during its capture by the Romans in 212 BC archimedes http://www.archimedesplutonium.com/File1992.html

AUTOBIO: 1992 by Archimedes Plutonium this is a return to website location http://www.archimedesplutonium.com/ Revolutionaries make the establishment physicists nervous. When one is in the establishment it is difficult to accept or even to listen to new ideas.

71. 10.2. Archimedes (287? -212 B.C.) Born in 287 BC, in syracuse, a Greek seaport colony in Sicily, Archimedeswas the son of Phidias, an astronomer. Except for his http://www.shu.edu/projects/reals/history/archimed.html

10.2. Archimedes (287? -212 B.C.) IRA Archimedes is considered one of the three greatest mathematicians of all time along with Newton and Gauss. In his own time, he was known as "the wise one," "the master" and "the great geometer" and his works and inventions brought him fame that lasts to this very day. He was one of the last great Greek mathematicians. Born in 287 B.C., in Syracuse, a Greek seaport colony in Sicily, Archimedes was the son of Phidias, an astronomer. Except for his studies at Euclid's school in Alexandria, he spent his entire life in his birthplace. Archimedes proved to be a master at mathematics and spent most of his time contemplating new problems to solve, becoming at times so involved in his work that he forgot to eat. Lacking the blackboards and paper of modern times, he used any available surface, from the dust on the ground to ashes from an extinguished fire, to draw his geometric figures. Never giving up an opportunity to ponder his work, after bathing and anointing himself with olive oil, he would trace figures in the oil on his own skin. Eureka! eureka!

72. GoldenEssays - Mathematics - Free Essays, Free Research Papers, Free Term Papers This was all for the protection of syracuse. Despite the use of archimedes’inventions, syracuse was captured during the Second Punic war. http://www.goldenessays.com/free_essays/3/math/archimedes.shtml

Can`t find essay here? Order custom written report. We offer high quality and quick writing for only $8.95 per page! Archimedes Home: Free Essays, Book Reports and Essay Writing Top 100 Essay Sites Top 50 Essay Sites Top 25 Essay Sites ... Can`t find essay here? Order custom written report. We offer high quality and quick writing for only $8.95 per page!

73. Archimedes    Archimedes Was Born In Syracuse Activties from the History of Mathematics, Frank J. Swetz Copyright 1994 USA http//www.ncsa.uiuc.edu/edu/RSE/RSEorange/biosub.html Archimedesof syracuse. http://www.mvrhs.org/netsite/school/departments/Math/Jen's folder/Archimedes.htm

Archimedes Archimedes was born in Syracuse, Sicily about 287 B.C. He was considered the best engineer and mathematician of his time. He died in 212 B.C. when Roman armies attacked Syracuse. On his tomb are pictures of a sphere and a cylinder which was what he wanted. Archimedes was a mathematician, inventor and an experimenter. In mathematics he made many discoveries. The measurement of the circle is one of his most famous works. He measured the circle as the exact value of pi. He did it by circumscribing and inscribing a circle and a polygon having 96 sides. He also has many other famous mathematics works. As an inventor while working for the king of Hieron he invented things for the defense of Syracuse. He invented the catapult, the compound pulley and the burning mirror. King Hieron wanted a new crown made and gave the goldsmith the gold. When he got his crown back it felt light. He thought that the goldsmith had cheated him and wanted Archimedes to find out. Archimedes could not find the answer anywhere. One day though, while taking a bath he got into the tub and some of the water went over the sides of the tub. He then thought of the crown. (Later in modern times it was found to be physics). He got out of the tub and ran home naked yelling Eureka, eureka ( I found it, I found it.) And so is the famous story of Archimedes the streaker! Some of the References I used ~ Learning Activties from the History of Mathematics

74. Archimedes archimedes was born 287 BC in syracuse, Sicily. archimedes was buried syracuse,where he was born, were he grew up, where he worked, and where he died. http://www.crystalinks.com/archimedes.html

Archimedes Archimedes was born 287 BC in Syracuse, Sicily. Archimedes was a famous mathematician whose theorems and philosophies became world known. He gained a reputation in his own time which few other mathematicians of this period achieved. He is considered by most historians of mathematics as one of the greatest mathematicians of all time. He discovered pi. Most of the facts about his life come from a biography about the Roman soldier Marcellus written by the Roman biographer Plutarch. He was best known for his discovery of the relation between the surface and volume of a sphere and its circumscribing cyclinder, for his formulation of a hydrostatic principle Archimedes' principle and for inventing the Archimedes screw (a device for raising water). Archimedes Principal states: an object immersed in a fluid experiences a buoyant force that is equal in magnitude to the force of gravity on the displaced fluid. He also invented things such as the hydraulic screw - for raising water from a lower to a higher level, catapult, the lever, the compound pulley and the burning mirror. In mechanics Archimedes discovered fundamental theorems concerning the centre of gravity of plane figures and solids.

75. ThinkQuest Library Of Entries Translate this page archimedes de syracuse - 287-212 BC archimedes de syracuse vivió la mayoríade su vida en la ciudad griega de syracuse, en la isla de Siciliy. http://library.thinkquest.org/C0110195/history/bio_sp.html

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Your Piece of the Pi , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Your Piece of the Pi click here Back to the Previous Page The Site you have Requested ... Your Piece of the Pi click here to view this site A ThinkQuest Internet Challenge 2001 Entry Click image for the Site Awards Received Achievement Award Languages : Site Desciption Students Powell NORTHSHORE HIGH SCHOOL LA, United States Matthew NORTHSHORE HIGH SCHOOL LA, United States Robert NORTHSHORE HIGH SCHOOL LA, United States Coaches Kim NORTHSHORE HIGH SCHOOL LA, United States Kathey NORTHSHORE HIGH SCHOOL LA, United States

76. Index Of Ancient Greek Philosophers-Scientists archimedes (syracuse, 287212 BC). Greek mathematician and engineer whichis included among the top ranking mathematicians in history. 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.).

77. Archimedes - Succeed Through Biographies Early years. archimedes was born in syracuse, Sicily in about 287 BC. AlthoughSicily is near Italy, syracuse was considered Greek city at the time. http://www.school-for-champions.com/biographies/archimedes.htm

School for Champions Biographies Famous Speeches History ... Good Grades Biography of ancient Greek mathematician and inventor Archimedes. Also refer to Euclid, geometry, integral calculus, water pump, pi, area, volume, Syracuse, Carthage, Romans, Marcellus, School for Champions, Kurtus Technologies, Milwaukee, Wisconsin Archimedes - Early and Middle Years by Ron Kurtus (6 September 2001) Archimedes (287- 212 BC) was a great ancient Greek mathematician, devising ways to calculate areas and volumes, defining pi, and formulating integral calculus. But it was his inventions, such as a water pump, and discoveries such as hydrostatics, that made him famous in his time. Some of his inventions are still used today. He was killed when the Romans overran his city. Questions you may have about this are: What did Archimedes achieve through the years? What influenced his inventions? How did he die? This lesson will try to answer those questions. There is a mini-quiz at the end of the lesson. Early years Archimedes was born in Syracuse, Sicily in about 287 BC. Although Sicily is near Italy, Syracuse was considered Greek city at the time. His father was an astronomer, who had occasional dealings with the Syracuse king.

78. CollegeTermPapers - Mathematics - Archimedes - Free Term Papers, This was all for the protection of syracuse. Despite the use of archimedes'inventions, syracuse was captured during the Second Punic war. http://www.collegetermpapers.com/TermPapers/Mathematics/Archimedes1.shtml

79. Archimedes Werd Geboren In Syracuse Op Sicilië In 287 V archimedes werd geboren in syracuse op Sicilië in 287 vC en stierf daar 212 vCarchimedes is de grootste Griekse wiskundige en heeft volgens de overlevering http://members.lycos.nl/pws5havo/archimedes.htm

Archimedes werd geboren in Syracuse op Sicilië in 287 v.C. en stierf daar 212 v.C. Archimedes is de grootste Griekse wiskundige en heeft volgens de overlevering in Alexandrië gestudeerd. Ook heeft hij in Syracuse als adviseur aan het hof van Hiero II gewerkt. Hij is een van de weinige wetenschappelijke persoonlijkheden van de Oudheid waarvan redelijk veel van zijn biografie bekend is. Zo zegt Vitruvius dat hij, nadat hij in het bad de zgn. wet van Archimedes over ingedompelde lichamen had gevonden, ongekleed naar huis liep, roepend: ‘Heurèka’ (Ik heb het gevonden). Bij elk drijvend lichaam, zoals een schip, maar ook bij de luchtballon en het luchtschip, vindt deze wetmatigheid haar toepassing. Archimedes verenigde in zijn werk de strengheid van het Grieks meetkundige denken met de rekenvaardigheid van de Oosterse wiskunde. Zijn betekenis ligt in de eerste plaats in zijn behandeling van vraagstukken die nu tot de integraalrekening worden gerekend. In het boek Over de bol en de cilinder bewees hij o.a. dat de inhoud van de bol gelijk is aan B van die van de omschreven cilinder. In Over conoïden en sferoïden (twee boeken) bewees hij vele stellingen over inhouden van omwentelingsoppervlakken van kegelsneden. In Over spiralen vindt men theorema's over raaklijnen aan en oppervlakken gevormd door de spiraal van Archimedes. Archimedes is één van de grondleggers van de statica van vaste en vloeibare lichamen. In zijn twee boeken Over het evenwicht van vlakken vinden wij de wet van de hefboom en beschouwingen over zwaartepunten; in zijn twee boeken Over drijvende lichamen wordt niet alleen de ‘

80. Math Lair - Archimedes archimedes was born in syracuse, a Greek city in Sicily, in 287 BC,and lived there for most of his life. He was so far ahead of http://www.stormloader.com/ajy/archimedes.html

Archimedes "Wait, soldier, until I have finished my problem" - Archimedes, last words Archimedes was born in Syracuse, a Greek city in Sicily, in 287 B.C., and lived there for most of his life. He was so far ahead of his time that some of his principles did not become established until the fifteenth century. He invented the Archimedean screw (a water screw) which is used in Egypt even today, and he explained the theory of the lever. He declared that, if he had a lever long enough and a prop strong enough, he could, single-handedly, move the world. His most celebrated work is that on the sphere and the cylinder, which he requested should be inscribed on his tombstone. He found that was between (approximately) 3 and 3 In his book The Sand Reckoner , which he addressed to King Gelon of Syracuse, he described his own system of counting immense numbers, which is able to express numbers up to 10 . He then used this notation to estimate the number of grains of sand required to fill the entire universe He helped Hieron defended Syracuse against the Romans by inventing machines of war (although some of these machines do seem quite unlikely). He (supposedly) invented machines that lifted ships out of the water and dropped them with so much force that they sank. He also burned their ships by concentrating on them the rays of the sun with mirrors. When Syracuse was taken in 212 B.C., the Roman general Marcellus ordered his soldiers not to hurt Archimedes, and offered a rewqrd to whoever should bring him safe to him. A Roman soldier found him in his studio, so busy working on a mathematics problem that he did not even know that the enemy had entered the gates. The soldier ordered Archimedes to come with him; when Archimedes asked the solder to wait while he finished the math problem he was working on, the soldier killed him, to the grief of Marcellus. Marcellus ordered an honourable burial for Archimedes and built a monument over his grave inscribed as he had desired.

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