Archimedes's Priciple

1. Archimedes
287 B.C. – 212 B.C.

2. Famous Quotes….
“Give me a spot where I can stand
and I shall move the earth.”
“Eureka! Eureka! I have found it!”

3. Mini Planitarium
Archimedes created a mini
planetarium that was mechanical
and showed the motions of the
sun, moon, and planets as viewed
from the earth.

4. Mini Planitarium

5. Contributions:
Astronomy

6. Archimedes’ Screw

7. Archimedes’ Screw
The purpose is to move water
uphill to help with irrigation.

8. Contributions:
Crop
irrigation and drainage/farming
practices
Remove
water from ships so they would not
sink (mechanical water pump)
Move
sludge
Sewage
plants (many substations send to
main treatment plant)

9. The Law of Hydrostatic
or the Archimedes’ Principle
What Archimedes stated:
“Any solid lighter than a fluid will, if placed in a fluid, be so far
immersed that the weight of the solid will be equal to the
weight of the fluid displaced.”
“A solid heavier than a fluid will, if placed in it, descend to the
bottom of the fluid, and the solid will, when weighed in the
fluid, be lighter than its true weight by the weight of the fluid
displaced.”

10. Hydrostatics: Buoyancy

11. Contribution to science?
Maritime architecture

12. Simple Machines:
Law of the Lever
He was not the first to use the
lever but he showed that the
movement of the fulcrum
influences equilibrium.

13. Simple Machines:
Law of the Lever

14. Law of the Lever – the closer the
lever is to the fulcrum, the easier it is
to move an object

15. The pulley and the lever

16. Contributions:
Applied
mechanics – moving
from physical science theory to
technology and it is used to
explain the effects of items when
force is applied
(example: engineering)

17. Weapons of War

18. Catipult

19. Death Ray

20. Death Ray

21. MythBusters and MIT

22. Claw of Archimedes

23. Claw of Archimedes
(A different interpretation)

24. Contributions:
National
Simple
Defense
machines

25. Contributed to Math
Pi
- Used a 96 sided polygon to
determine that the value of pi was
between 3 10/71 and 3 1/7.

26. Contributed to Math
Approximating the area of a circle
He found the area of a circle by finding the
area of smaller rectangles and adding them
together.
This is termed the “method of exhaustion ”
and led to integral calculus , which is the
study of the area figures and on the volumes
of solids.

27. Sand-Reckoner
Archimedes said that he could
create a number, greater than the
grains of sand that would be
required to fill the universe.
He estimated that the number
would be larger than 1063 grains of
sand.

28. Contributions:
Estimated
the size of the universe
Using
smaller and easy to manipulate
numbers when the data is large
1063 grains
of sand
Led to logarithms which were invented by
John Napier in the early 1600’s
Scientific notation? 1.5 x 1010

29. Contributed to Math
Spiral
of Archimedes – study of
polar coordinates which is used in
air traffic control.

30. Stomacion

31. Stomacion
This is similar to the tangram
puzzle and the object is to either
create pictures with the puzzle
pieces or put it together in its
original form.

32. Sources
Boyer, Carl. A History of Mathematics. John Willey & Sons,
Inc. New York, NY. 1991.
Struk, Dirk. A Concise History of Mathematics. Dover
Publications, Inc. New York, NY. 1987.
http://www.lycos.com/info/archimedes--archimedes-screw.html
http://engineering.union.edu/SeniorProjects/2004.ME/donovam2/stuff/modern
http://engineering.union.edu/SeniorProjects/2004.ME/donovam2/stuff/moder
http://www.answers.com/topic/applied-mechanics
http://www.math.nyu.edu/~crorres/Archimedes/Sphere/SphereIntro.html