ArchimedesArchimedesGerman MorenoGerman Moreno

By: Molly ReidBy: Molly Reid

ArchimedesArchimedes

Ancient Greek mathematician, physicist Ancient Greek mathematician, physicist and engineer. and engineer.

Birth 287- Syracuse Sicily Birth 287- Syracuse Sicily

Archimedes’ ScrewArchimedes’ Screw

Archimedes was Archimedes was credited with the credited with the invention around invention around the year 250 BC.the year 250 BC.

A screw inside a A screw inside a hollow pipe with hollow pipe with one lower end in one lower end in water, the screw is water, the screw is turned and the turned and the water flows upward water flows upward with the spiral. with the spiral.

Mathematics behind the screwMathematics behind the screw The slope of the outside of the screw's The slope of the outside of the screw's

helical blades with respect to its sides is 2. helical blades with respect to its sides is 2. This requires that the slope the screw This requires that the slope the screw makes with respect to a horizontal line be makes with respect to a horizontal line be less than 2 (an angle of 63°) in order for less than 2 (an angle of 63°) in order for the buckets or pockets of water to form. In the buckets or pockets of water to form. In the profile of the screw, the projection of the profile of the screw, the projection of each helical blade consists of two each helical blade consists of two sinusoidal curves with the same periods sinusoidal curves with the same periods and phases.and phases.

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[[Archimedean Screw" by Sándor Kabai, by Sándor Kabai, The Wolfram Demonstrations Project, 2007. ], 2007. ]

Law of the LeverLaw of the Lever“Give me a place to stand and I will move “Give me a place to stand and I will move

the Earth.”the Earth.”

ΤΑ ΜΕΓΕΘΕΑ ΙΣΟΡΡΟΠΕΟΝΤΙ ΑΠΟ ΤΑ ΜΕΓΕΘΕΑ ΙΣΟΡΡΟΠΕΟΝΤΙ ΑΠΟ ΜΑΚΕΩΝ ΑΝΤΙΠΕΠΟΝΘΟΤΩΣ ΤΟΝ ΜΑΚΕΩΝ ΑΝΤΙΠΕΠΟΝΘΟΤΩΣ ΤΟΝ ΑΥΤΟΝ ΛΟΓΟΝ ΕΧΟΝΤΩΝ ΤΟΙΣ ΑΥΤΟΝ ΛΟΓΟΝ ΕΧΟΝΤΩΝ ΤΟΙΣ ΒΑΡΕΣΙΝ-ArchimedesΒΑΡΕΣΙΝ-Archimedes

Magnitudes are in equilibrium at Magnitudes are in equilibrium at distances reciprocally proportional to distances reciprocally proportional to their weights.their weights.

[ ARCHIMEDES[ ARCHIMEDES

by E.J. Dijksterhuis (translated by C. Dikshoorn)by E.J. Dijksterhuis (translated by C. Dikshoorn)       Princeton University Press, Princeton, N.J., U.S.A., 1987 ], Princeton, N.J., U.S.A., 1987 ]

Archimedes PrincipleArchimedes Principle

His law that states that if a body immersed His law that states that if a body immersed in a fluid it’s pushed up by a force in a fluid it’s pushed up by a force (buoyancy) equal to the weight of the fluid (buoyancy) equal to the weight of the fluid displaced by the body.displaced by the body.

Buoyancy- 1.The power to float or rise in a Buoyancy- 1.The power to float or rise in a fluid; relative lightnessfluid; relative lightness

2. The power or supporting a body so that 2. The power or supporting a body so that it floats upward pressure exerted by the it floats upward pressure exerted by the fluid in which a body is immersed.fluid in which a body is immersed.

Stamps Attributed to ArchimedesStamps Attributed to Archimedes

Died 212 BCDied 212 BC

Archimedes was murdered by a Archimedes was murdered by a Roman soldier.Roman soldier.

CitationsCitations Oil painting of Archimedes by the Italian artist Giuseppe Nogari (1699-1766). Oil painting of Archimedes by the Italian artist Giuseppe Nogari (1699-1766). English portrait artist Henry Wyatt (1794-1840). English portrait artist Henry Wyatt (1794-1840). 1740 engraving of Archimedes 1740 engraving of Archimedes 1965 Jacques Superchocolat of Belgium 1965 Jacques Superchocolat of Belgium Cigarette Oriental de Belgique in 1938 Cigarette Oriental de Belgique in 1938 chromolithographic outer label for cigar boxes dating from 1895-1915 chromolithographic outer label for cigar boxes dating from 1895-1915 ARCHIMEDESARCHIMEDES

by E.J. Dijksterhuis (translated by C. Dikshoorn)by E.J. Dijksterhuis (translated by C. Dikshoorn) Princeton University Press, Princeton, N.J., U.S.A., 1987 ]Princeton University Press, Princeton, N.J., U.S.A., 1987 ]

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[[Archimedean Screw"Archimedean Screw" by Sándor Kabai, by Sándor Kabai, The Wolfram Demonstrations ProjectThe Wolfram Demonstrations Project, 2007. ], 2007. ] Dictionary.comDictionary.com