Archimedes & Euclid

Download Report

Transcript Archimedes & Euclid

Contributions of Ancient Greece:
Archimedes & Euclid
Archimedes
Euclid
Archimedes’ Principle Of
Displacement
Archimedes Claw
Archimedes’
Screw
Archimedes Death Ray
“Give me a place to stand, and I will move the earth.”
-Archimedes
Eureka! Eureka! I have found it!
-Archimedes
Video about Archimedes
Click here
http://www.youtube.com/watch?v=hIYdxQuzb60
Could a death ray really work?
Now here!
Click here
EUCLID
Find out about Euclid- Click here!
http://www.brainpop.com/math/geometryan
Euclid’s Five Postulates
GEOMETRY
I.
Any two points can be joined by a
straight line segment.
II.
A straight line segment can be extended
infinitely in either direction.
III. A straight line segment of any length can
be used as a circle’s radius, with one
endpoint serving as the circle’s center.
IV. All right angles are congruent.
V.
If two lines intersect a third line in away
that their inner angles add up to less
than 180 degrees, those two lines will
intersect on that same side, forming a
triangle with the third line.
What did Archimedes shout when he
discovered the concept of
displacement?
Eureka!
What is the term that we use to describe the idea
that any solid object, when placed in water,
experiences an upward buoyant force
equal to the weight of the water it displaces?
The Archimedes’ Principle
The King of Syracuse asked
Archimedes to help him with a very
complex problem.
What was the King’s name?
King Hiero
What is the formula for
calculating the volume of a solid,
irregular object?
Final Volume – Starting Volume = Volume of Object
Name one of Archimedes inventions.
Archimedes’ Claw, The Archimedes’ Screw, The Death Ray
Euclid is credited with writing what?
Five Postulates or assumptions about geometry
Euclid used this to help him
solve problems
Logic
Name one of the postulates that
Euclid wrote