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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.

Multiple Choice Questions

1. That properties of specific shapes were early Egyptians aware of?
(a) Irregular solids.
(b) Right triangles.
(c) Pi and the diameter of a circle.
(d) Parallelograms.

2. What did Dunham consider extraordinary about the Elements?
(a) How Hippocrates ordered the book.
(b) The content was not based on previous authors' work.
(c) The content was totally unique.
(d) How geometric proofs were presented.

3. What was Hippocrates's great advance to mathematics?
(a) He showed how to find the angles in a right triangle.
(b) He showed how to simplify the area of a triangle.
(c) He showed how to square a circle.
(d) He showed how to square a figure with curved sides.

4. What instruments did the Greeks use to square a shape?
(a) A sphere and ruler.
(b) A compass and a ruled straight-edge.
(c) A pendulum.
(d) A small grid.

5. What were the proofs in Elements based on?
(a) Novel notions.
(b) Ancient greek geometry.
(c) Lindeman's method.
(d) Basic definitions.

Short Answer Questions

1. What was Hippocrates famous for?

2. After Hippocrates, what shape did the Greeks attempt to square without success?

3. What provided most of the content in the book Elements?

4. Which of the following becomes an important definition in mathematics that was first presented in Elements?

5. Which of the following was NOT one of Gauss' discoveries?

(see the answer key)

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