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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

Multiple Choice Questions

1. What provided most of the content in the book Elements?
(a) Propositions.
(b) Notions.
(c) Hypotheses.
(d) Postulates.

2. What did Ferdinand Lindeman prove in 1882?
(a) It is possible to find the square of a circle.
(b) That the square root of the hypotenuse of a right triangle can not be found.
(c) It is impossible to find the square of a semicircle.
(d) That the square of a circle can not be found with a compass and a straight-edge.

3. How many definitions were stated in Elements?
(a) Thirty.
(b) Eighteen.
(c) Twenty-three.
(d) Five.

4. Which of Euclid's postulates troubled many of the following generations of mathematicians?
(a) Euclid's postulate on creating an arc.
(b) Euclid's postulate on right triangles.
(c) Euclid's proof on right triangles.
(d) Euclid's postulate on parallel lines.

5. What did the Pythagorean Theorem accomplish for mathematics?
(a) The ability to measure angles.
(b) The concept of constructing useful mathematics.
(c) The concept of providing a logical proof.
(d) The ability to find square roots.

Short Answer Questions

1. What was Hippocrates's great advance to mathematics?

2. Which of the following is false about the modern implications of Euclid's number theory?

3. What was Euclid's definition of a prime number?

4. What range of values did Archimedes determine for pi?

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

(see the answer key)

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