View a FREE sample

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

Multiple Choice Questions

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

2. How did Lindeman prove his conclusion?
(a) Lindeman proved that some numbers are not constructable with only a compass and straight-edge.
(b) Lindeman proved that all numbers are constructable with a compass and ruler.
(c) Lindeman proved that some numbers are constructable without the use of a compass.
(d) Lindeman proved that square roots are irrational numbers.

3. What was true about Hippocrates's proof?
(a) The proof was exceedingly difficult and not understood at the time.
(b) The proof was easy if their was advanced technology available.
(c) It was fairly easy and simple.
(d) It was useful for circles.

4. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?
(a) Quadrature.
(b) Square root.
(c) Cubation.
(d) Triangulation.

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

Short Answer Questions

1. Where did Hippocrates come from?

2. Which of the following was NOT one of the basic definitions in Elements?

3. Which words best describe how solid proofs were developed in Elements?

4. Who was the author of the book Elements?

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

(see the answer key)

This section contains 274 words (approx. 1 page at 300 words per page) View a FREE sample