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Topic: Archimedes principle

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Buoyancy

Archimedes

Archimedean point

Isostasy

Claw of Archimedes

Archimedean spiral

Euclidean geometry

Archimedean property

Demosthenes

Archimedean solid

Trojan War

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	BBC - History - Archimedes (c.287 - c.212 BC)
		Archimedes was born in Syracuse on the eastern coast of Sicily and educated in Alexandria in Egypt.
		In mechanics he defined the principle of the lever and is credited with inventing the compound pulley and the hydraulic screw for raising water from a lower to higher level.
		He is most famous for discovering the law of hydrostatics, sometimes known as 'Archimedes' principle', stating that a body immersed in fluid loses weight equal to the weight of the amount of fluid it displaces.
	www.bbc.co.uk /history/historic_figures/archimedes.shtml (249 words)

	[No title]
		Archimedes laid the foundation for integral Calculus, approximation of pi, approximated square roots accurately, made discoveries in volume and surface area, invented a system for expressing large numbers (powers 1063), and made various discoveries involving the center of gravity of geometric figures (including plane figures, parallelogram, triangle, trapezium, segment of a parabola).
		Archimedes found that the volume of a sphere is two-thirds the volume of a circumscribed cylinder, and that the surface of a sphere is two-thirds the surface of a circumscribed cylinder including its bases, and that the surface of a sphere is four times that of a great circle.
		Archimedes considered his most significant accomplishments were those concerning a cylinder circumscribing a sphere, so he requested that the volume of a sphere and a visual supporting it be carved into his grave stone when he died, and his request were honored after he was killed.
	home.olemiss.edu /~ksbost/archimedes.doc (701 words)

	Archimedes (mathematician)
		The best-known result of Archimedes' work on hydrostatics is Archimedes' principle, which states that a body immersed in water will displace a volume of fluid that weighs as much as the body would weigh in air.
		Archimedes is credited with having claimed that if he had a sufficiently distant place to stand, he could use a lever to move the world.
		Archimedes had decreed that his gravestone be inscribed with a cylinder enclosing a sphere together with the formula for the ratio of their volumes – a discovery that he regarded as his greatest achievement.
	www.tiscali.co.uk /reference/encyclopaedia/hutchinson/m0016326.html (759 words)

	The Life of Archimedes
		Archimedes was born around 287 B.C. at Syracuse a Greek city-state on the island of Sicily.
		Archimedes was educated at the museum in Alexandria Egypt where historians believe that he may have studied under former students of Euclid another ancient mathematician famous for geometry.
		Archimedes principle states that an object in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
	sps.k12.mo.us /phs/jpetersen/projects/mathematicians/archimedes.htm (574 words)

	10.2. Archimedes (287? -212 B.C.)
		Born in 287 B.C., in Syracuse, a Greek seaport colony in Sicily, Archimedes was the son of Phidias, an astronomer.
		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.
		When Archimedes was buried, they placed on his tombstone the figure of a sphere inscribed inside a cylinder and the 2:3 ratio of the volumes between them, the solution to the problem he considered his greatest achievement.
	web01.shu.edu /projects/reals/history/archimed.html (846 words)

	Archimedes - MSN Encarta
		Archimedes was born in Syracuse, Sicily, and educated in Alexandria, Egypt.
		He is best known for discovering the law of hydrostatics, often called Archimedes' principle, which states that a body immersed in fluid loses weight equal to the weight of the amount of fluid it displaces.
		It is said that Archimedes was so absorbed in calculation that he offended the intruder merely by remarking, “Do not disturb my diagrams.” Several of his works on mathematics and mechanics survive, including Floating Bodies, The Sand Reckoner, Measurement of the Circle, Spirals, and Sphere and Cylinder.
	encarta.msn.com /encyclopedia_761558086/Archimedes.html (382 words)

	ARCHIMEDES GREEK PHILOSOPHER AND INVENTOR - SOLAR NAVIGATOR WORLD ELECTRIC NAVIGATION CHALLENGE, THE BLUEBIRD ELECTRIC ...
		Archimedes, probably tired after his work during the siege, was sitting on the ground, drawing mathematical figures in the dust.
		Archimedes is generally regarded as the greatest mathematician and scientist of antiquity and one of the three greatest mathematicians of all time.
		In this book Archimedes obtains the result he was most proud of: that the area and volume of a sphere are in the same relationship to the area and volume of the circumscribed straight cylinder.
	www.solarnavigator.net /inventors/archimedes.htm (2065 words)

	Archimedes Principle: Free Encyclopedia Articles at Questia.com Online Library
		principle that states that a body immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
		The fluid most often encountered in applications of Archimedes' principle is water, and the specific gravity of a substance is a convenient measure of its relative density compared to water.
		ARCHIMEDES PRINCIPLE principle that states that a body immersed in a fluid is buoyed...volume of fluid.
	www.questia.com /library/encyclopedia/archimedes-principle.jsp?l=A&p=6 (1808 words)

	Buoyancy Summary
		Another way the principle could be used to determine the substance of an object is to weigh the object before placing it in water and again while it is in the container of water.
		The principle of buoyancy is called Archimedes's Principle, since it was discovered by this Greek mathematician in the third century B.C. The principle states that the buoyant force acting on an object placed in a fluid is equal to the weight of the fluid displaced by the object.
		Archimedes concluded that the buoyant force on an object is equivalent to the weight of the water displaced by the object.
	www.bookrags.com /Buoyancy (2354 words)

	The Golden Crown (Introduction) (Site not responding. Last check: 2007-10-20)
		Archimedes’ solution to the problem, as described by Vitruvius, is neatly summarized in the following excerpt from an advertisement:
		The solution which occurred when he stepped into his bath and caused it to overflow was to put a weight of gold equal to the crown, and known to be pure, into a bowl which was filled with water to the brim.
		Thus, when both ends of the scale are immersed in water, there is an apparent mass of 935.4 grams at one end and an apparent mass of 948.2 grams at the other end, an imbalance of 12.8 grams.
	www.mcs.drexel.edu /~crorres/Archimedes/Crown/CrownIntro.html (1114 words)

	Inventor of the Week: Archive
		Archimedes was also a talented inventor, having created such devices as the catapult, the compound pulley, the lever, and a system of burning mirrors that was used in battle to focus the sun’s rays on enemies’ ships.
		Archimedes also created a model planetarium, designed a system for expressing large numbers, and made many advances in the understanding of geometry, creating major writings on the sphere and cylinder, spirals, plane equilibriums, conoids and spheroids, and measurement of circles.
		Archimedes died in Syracuse in approximately 212 B.C., as the city was being sacked by the Roman army during the Second Punic War.
	web.mit.edu /invent/iow/archimedes.html (483 words)

	Pressure
		Buoyancy arises from the fact that fluid pressure increases with depth and from the fact that the increased pressure is exerted in all directions (Pascal's principle) so that there is an unbalanced upward force on the bottom of a submerged object.
		This principle is useful for determining the volume and therefore the density of an irregularly shaped object by measuring its mass in air and its effective mass when submerged in water (density = 1 gram per cubic centimeter).
		Archimedes found that the density of the king's supposedly gold crown was actually much less than the density of gold -- implying that it was either hollow or filled with a less dense substance.
	hyperphysics.phy-astr.gsu.edu /hbase/pbuoy.html (537 words)

	NOVA \| Infinite Secrets \| Library Resource Kit \| Who Was Archimedes? \| PBS
		Archimedes of Syracuse was one of the greatest mathematicians in history.
		The most famous of these were the Archimedes' Screw (a device for raising water that is still used in crop irrigation and sewage treatment plants today) and Archimedes' principle of buoyancy.
		As he wished, Archimedes' tombstone is marked with the figure of a sphere enclosed by a cylinder and the 2:3 ratio of their volumes.
	www.pbs.org /wgbh/nova/archimedes/lrk_biography.html (788 words)

	Harvard Gazette: Scholars resuscitate dead languages
		In other words, Archimedes, Aristotle, and their ilk were far more advanced in their thinking than we generally give them credit for.
		In particular, the Archimedes team hopes to go back in history and re-create important ancient Greek texts, which were known to have existed but have since disappeared.
		Archimedes realized that the entire weight of an object could be regarded as concentrated at a single point - its center of gravity.
	www.news.harvard.edu /gazette/2003/11.13/01-archimedes.html (1349 words)

	Archimedes - Crystalinks
		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.
		Archimedes had stated in a letter to King Hieron that given the force, any given weight might be moved, and even boasted, we are told, relying on the strength of demonstration, that if there were another earth, by going into it he could remove this.
		Archimedes is supposed to have made two "spheres" that Marcellus took back to Rome - one a star globe and the other a device (the details of which are uncertain) for mechanically representing the motions of the Sun, Moon, and planets.
	www.crystalinks.com /archimedes.html (2103 words)

	Highbeam Encyclopedia - Search Results for Archimedes
		Archimedes' principle Observation by Archimedes that a body immersed in a fluid is pushed up by a force equal to the weight of the displaced fluid.
		An Archimedes spiral or some other spiral that is attached to a circular disc and, when rotating, appears to be continuously expanding from its centre or contracting towards its centre depending on the direction of rotation.
		Archimedes Software to support Philips Semicondutors' XA family of microcontrollers; Archimedes to provide C compiler and tool set for the XA.
	www.encyclopedia.com /SearchResults.aspx?Q=Archimedes (854 words)

	Archimedes of Syracuse: The Discovery of Archimedes' Principle
		Archimedes was able to apply the method of exhaustion, which is the early form of integration, by which he calculated different areas and volumes of geometric shapes and solids.
		His most famous theorem gives the weight of a body immersed in a liquid, called after him, Archimedes' principle - that a body immersed in a fluid is subject to an upward force (buoyancy) equal in magnitude to the weight of fluid it displaces.
		Archimedes took two pieces of pure gold and of pure silver that had weights identical to the weight of the crown.
	www.juliantrubin.com /bigten/archimedesprinciple.html (594 words)

	Archimedes Biography (Mathematician/Engineer) — FactMonster.com
		One of the great scientists of antiquity, Archimedes is known for his mathematical work, his theories of mechanics and his clever use of machines in the defense of Syracuse against the Romans.
		Archimedes - Archimedes Archimedes, 287–212 B.C., Greek mathematician, physicist, and inventor.
		Archimedes' principle - Archimedes' principle Archimedes' principle, principle that states that a body immersed in...
	www.factmonster.com /biography/var/archimedes.html (317 words)

	Archimedes' Principle (Site not responding. Last check: 2007-10-20)
		A knowledge of Archimedes' Principle is important in the design of ships and submarines because upthrusts must be calculated.
		Archimedes discovered that floating objects or objects that are fully or partially submerged in a fluid have a certain amount of upthrust, or buoyancy, acting on them.
		Archimedes was a Greek mathematician and inventor who lived from around 287 to 212 BC.
	www.grandpapencil.com /science/archimed.htm (374 words)

	Buoyancy
		The idea of buoyancy was summed up by Archimedes, a Greek mathematician, in what is known as Archimedes Principle: Any object, wholly or partly immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.
		From this principle, we can see that whether an object floats or sinks, is based on not only its weight, but also the amount of water it displaces.
		Archimedes principle works for any fluid, but as divers we are mainly concerned with two different fluids: fresh water, and salt water.
	www.aquaholic.com /gasses/archem.htm (837 words)

	Archimedes
		Archimedes was born in Syracuse, Sicily in 287 B.C. He was the son of Phidias, an astronomer.
		Archimedes was very fascinated with geometry and spent most of his life finding out things such as the measurement of pi.
		Archimedes was not satisfied with the definition of pi as 3 1/7 0r 22/7.
	www.andrews.edu /~calkins/math/biograph/bioarch.htm (1157 words)

	Buoyancy (Site not responding. Last check: 2007-10-20)
		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.
		In accordance with the expressed desire of Archimedes, his family and friends inscribed on his tomb the figure of his favorite theorem; the sphere and the circumscribed cylinder, and the ratio of the containing solid to the contained.
	www.engineering.usu.edu /jrestate/workshops/buoyancy/buoyancy.php (1607 words)

	Archimedes
		Archimedes works at this time are therefore described as magical and mysterious, rather than explained in the words of a modern day scientist.
		Archimedes' principle, which it is called today, is the foundation for the study of hydrostatics in Physics.
		Archimedes is believed to be the inventor of 3 mechanical devices, of which, were not used for war purposes.
	campus.udayton.edu /~hume/Archimedes/archimedes.htm (3020 words)

	NASA Quest > Aerospace Team Online (Site not responding. Last check: 2007-10-20)
		The pulley was one of these inventions, but Archimedes thought the study of mathematics was the most important thing he could do.
		Archimedes, as the story goes, realized that a solid which is denser than water; will be lighter when immersed in fluid, by the weight of the water the solid displaced.
		Archimedes knew he could use this knowledge to test whether King Hieron's crown was made of solid gold.
	quest.arc.nasa.gov /aero/planetary/archimedes.html (393 words)

	Archimedes biography
		There are, in fact, quite a number of references to Archimedes in the writings of the time for he had gained a reputation in his own time which few other mathematicians of this period achieved.
		Archimedes was killed in 212 BC during the capture of Syracuse by the Romans in the Second Punic War after all his efforts to keep the Romans at bay with his machines of war had failed.
		Archimedes considered his most significant accomplishments were those concerning a cylinder circumscribing a sphere, and he asked for a representation of this together with his result on the ratio of the two, to be inscribed on his tomb.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Archimedes.html (2705 words)

	Archimedes' Principle
		Archimedes' Principle is that an object totally or partially immersed in a fluid (liquid or gas) is buoyed (lifted) up by a force equal to the weight of the fluid that is displaced.
		Furthermore, by Archimedes' Principle, upon immersion the object would receive a buoyant force equal to the weight of the water displaced.
		Having determined the SG for sinking and floating objects using Archimedes' Principle and the Jolly Balance, it is desirable to use an independent method for comparison.
	www.physics.smu.edu /~scalise/mechmanual/archimedes/lab.html (1493 words)

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