Archimedes 287 B.C. – 212 B.C.. Famous Quotes…. “Give me a spot where I can stand and I shall...
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Transcript of Archimedes 287 B.C. – 212 B.C.. Famous Quotes…. “Give me a spot where I can stand and I shall...
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ArchimedesArchimedes287 B.C. – 212 B.C.287 B.C. – 212 B.C.
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Famous Quotes….Famous Quotes….
““Give me a spot where I can stand Give me a spot where I can stand and I shall move the earth.”and I shall move the earth.”
““Eureka! Eureka! I have found it!” Eureka! Eureka! I have found it!”
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Mini PlanitariumMini Planitarium
Archimedes created a mini Archimedes created a mini planetarium that was planetarium that was
mechanical and showed the mechanical and showed the motions of the sun, moon, motions of the sun, moon,
and planets as viewed from and planets as viewed from the earth. the earth.
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Mini PlanitariumMini Planitarium
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Contributions:Contributions:
AstronomyAstronomy
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Archimedes’ ScrewArchimedes’ Screw
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Archimedes’ ScrewArchimedes’ ScrewThe purpose is to move water The purpose is to move water uphill to help with irrigation.uphill to help with irrigation.
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Contributions:Contributions:Crop irrigation and drainage/farming Crop irrigation and drainage/farming practicespractices
Remove water from ships so they Remove water from ships so they would not sink (mechanical water would not sink (mechanical water pump)pump)
Move sludgeMove sludge
Sewage plants (many substations send Sewage plants (many substations send to main treatment plant)to main treatment plant)
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The Law of Hydrostatic The Law of Hydrostatic or the Archimedes’ Principleor the Archimedes’ Principle
What Archimedes stated:What Archimedes stated:
““Any solid lighter than a fluid will, if placed in a fluid, Any solid lighter than a fluid will, if placed in a fluid, be so far immersed that the weight of the solid will be be so far immersed that the weight of the solid will be
equal to the weight of the fluid displaced.”equal to the weight of the fluid displaced.”
““A solid heavier than a fluid will, if placed in it, A solid heavier than a fluid will, if placed in it, descend to the bottom of the fluid, and the solid will, descend to the bottom of the fluid, and the solid will,
when weighed in the fluid, be lighter than its true when weighed in the fluid, be lighter than its true weight by the weight of the fluid displaced.”weight by the weight of the fluid displaced.”
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Hydrostatics: BuoyancyHydrostatics: Buoyancy
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Contribution to science?Contribution to science?
Maritime architectureMaritime architecture
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Simple Machines:Simple Machines:Law of the LeverLaw of the Lever
He was not the first to use the He was not the first to use the lever but he showed that the lever but he showed that the
movement of the fulcrum movement of the fulcrum influences equilibrium.influences equilibrium.
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Simple Machines:Simple Machines:Law of the LeverLaw of the Lever
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Law of the Lever – the closer the Law of the Lever – the closer the lever is to the fulcrum, the easier it is lever is to the fulcrum, the easier it is
to move an objectto move an object
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The pulley and the leverThe pulley and the lever
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Contributions:Contributions:Applied mechanics – moving Applied mechanics – moving from physical science theory from physical science theory to technology and it is used to to technology and it is used to explain the effects of items explain the effects of items when force is applied when force is applied
(example: engineering)(example: engineering)
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Weapons of WarWeapons of War
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CatipultCatipult
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Death RayDeath Ray
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Death RayDeath Ray
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MythBusters and MITMythBusters and MIT
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Claw of ArchimedesClaw of Archimedes
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Claw of Archimedes Claw of Archimedes (A different interpretation)(A different interpretation)
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Contributions:Contributions:National DefenseNational Defense
Simple machinesSimple machines
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Contributed to MathContributed to MathPi - Used a 96 sided polygon Pi - Used a 96 sided polygon to determine that the value of to determine that the value of pi was between 3 pi was between 3 10/7110/71 and 3 and 3 1/71/7..
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Contributed to MathContributed to MathApproximating the area of a circleApproximating the area of a circle
He found the area of a circle by finding He found the area of a circle by finding the area of smaller rectangles and the area of smaller rectangles and adding them together. adding them together.
This is termed the “This is termed the “method of method of exhaustionexhaustion” and led to ” and led to integral integral calculuscalculus, which is the study of the area , which is the study of the area figures and on the volumes of solids. figures and on the volumes of solids.
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Sand-ReckonerSand-ReckonerArchimedes said that he could Archimedes said that he could create a number, greater than create a number, greater than the grains of sand that would the grains of sand that would
be required to fill the be required to fill the universe.universe.
He estimated that the number He estimated that the number would be larger than 10would be larger than 106363
grains of sand.grains of sand.
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Contributions:Contributions:Estimated the size of the Estimated the size of the universeuniverse
Using smaller and easy to Using smaller and easy to manipulate numbers when the manipulate numbers when the data is largedata is large
101063 63 grains of sandgrains of sandLed to logarithms which were Led to logarithms which were invented by John Napier in the early invented by John Napier in the early 1600’s1600’sScientific notation? 1.5 x 10Scientific notation? 1.5 x 101010
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Contributed to MathContributed to MathSpiral of Archimedes – study Spiral of Archimedes – study of polar coordinates which is of polar coordinates which is used in air traffic control.used in air traffic control.
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StomacionStomacion
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StomacionStomacion
This is similar to the tangram This is similar to the tangram puzzle and the object is to puzzle and the object is to
either create pictures with the either create pictures with the puzzle pieces or put it puzzle pieces or put it
together in its original form.together in its original form.
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SourcesSourcesBoyer, Carl. Boyer, Carl. A History of MathematicsA History of Mathematics. John Willey & . John Willey & Sons, Inc. New York, NY. 1991.Sons, Inc. New York, NY. 1991.
Struk, Dirk. A Concise History of Mathematics. Dover Struk, Dirk. A Concise History of Mathematics. Dover Publications, Inc. New York, NY. 1987.Publications, Inc. New York, NY. 1987.
http://www.lycos.com/info/archimedes--archimedes-schttp://www.lycos.com/info/archimedes--archimedes-screw.htmlrew.html
http://engineering.union.edu/SeniorProjects/2004.ME/http://engineering.union.edu/SeniorProjects/2004.ME/donovam2/stuff/modernarch.htmdonovam2/stuff/modernarch.htm
http://www.answers.com/topic/applied-mechanicshttp://www.answers.com/topic/applied-mechanics
http://www.math.nyu.edu/~crorres/Archimedes/Spherhttp://www.math.nyu.edu/~crorres/Archimedes/Sphere/SphereIntro.htmle/SphereIntro.html