Contributions of Ancient Greece:Archimedes & Euclid

EuclidArchimedes

Archimedes’ Principle Of Displacement

Archimedes’ Screw

Archimedes Claw

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 ArchimedesVideo about Archimedes

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http://www.youtube.com/watch?v=hIYdxQuzb60

Could a death ray really work?Could a death ray really work?

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Now here!

EUCLID

Find out about Euclid- Click here! http://www.brainpop.com/math/geometryandmeasurement/geometry

Euclid’s Five Postulates

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.

GEOMETRY

What did Archimedes shout when he What did Archimedes shout when he discovered the concept of discovered the concept of

displacement?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 The King of Syracuse asked Archimedes to help him with a veryArchimedes to help him with a very

complex problem. complex problem. What was the King’s name?What was the King’s name?

King Hiero

What is the formula forWhat is the formula forcalculating the volume of a solid, calculating the volume of a solid,

irregular object?irregular object?

Final Volume – Starting Volume = Volume of Object

Name one of Archimedes inventions.Name one of Archimedes inventions.

Archimedes’ Claw, The Archimedes’ Screw, The Death Ray

Euclid is credited with writing what?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 Name one of the postulates that Euclid wroteEuclid wrote