A protractor, a straight edge and a compass
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compass and straightedge.
A protractor, a compass, a ruler, and a straightedge
Plato believed that the only tools needed for geometric calculations was a compass and a ruler. The type of compass being the type with a pencil attached to a pointing device.
Algebraic Geometry is the study of Geometry using simple algebraic equations. For example, some questions look a bit like this: You have a rectangle. It's area is 56cm squared. If it's length is 2x+2, and its breadth is x, solve for x. You would do 56-2=54/3=18, so x would be equal to 18.
That's called "solid geometry".