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

2. 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 square a figure with curved sides.
(c) He showed how to simplify the area of a triangle.
(d) He showed how to square a circle.

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

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

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

Short Answer Questions

1. What was Hippocrates famous for?

2. What instruments did the Greeks use to square a shape?

3. What was the bases of Hippocrates's proof ?

4. Who was the author of the book Elements?

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

(see the answer key)

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