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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. What did Hippocrates do that advanced mathematical methods?
(a) He demonstrated that geometry does not have to be based on previous knowledge.
(b) He built theorems based on sequencially more complex proofs.
(c) He proved that mathematics can be applied in a unlogical order.
(d) He created a new ways to disprove theories.

2. 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.

3. Which words best describe how solid proofs were developed in Elements?
(a) Axiomatic framework.
(b) Inverted scaffold.
(c) Simple arguments.
(d) Programmed order.

4. Which is one of the common notions presented in Elements?
(a) "Points with equal values can be connected with a line of equal value."
(b) "The inverse of a line makes a circle."
(c) "Things which are equal to the same thing are also equal to each other."
(d) "Things with are equal have an inverse that is equal."

5. Which of the following was NOT one of the basic definitions in Elements?
(a) Parabola.
(b) Right angles.
(c) Straight Line.
(d) Line.

Short Answer Questions

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

2. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

3. According to Euclid, when is a triangle a right triangle?

4. What did Dunham consider extraordinary about the Elements?

5. Which of Euclid's postulates troubled many of the following generations of mathematicians?

(see the answer key)

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