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

2. In Elements, how many postulates must be accepted as given?
(a) Twelve,
(b) Eighteen.
(c) Five.
(d) Twenty-two.

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

4. Which of the following is false about the modern implications of Euclid's number theory?
(a) Euclid's recipe for constructing even perfect numbers is incorrect.
(b) Whether there are no odd perfect numbers is still not known.
(c) Great mathematicians continue to puzzle over some aspects of Euclid's number theory.
(d) Euclid gave a good idea for how to construct even perfect numbers.

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

Short Answer Questions

1. Which is a geometric concept that humans have been aware of since the dawn of agriculture?

2. What did Euclid do in his 48th proposition?

3. What did Dunham claim about Archimedes's determination of a number value for pi?

4. Which of the following is an example of a perfect number?

5. Which of the following is an example of a postulate that must be accepted in Elements?

(see the answer key)

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