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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 was Hippocrates famous for?**
**(a)** His proof on right triangles. **(b)** His theorem on the quadrature of the lune. **(c)** His ability to construct circles without a compass. **(d)** His proof defining gravity.

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

**3. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?**
**(a)** Parallel lines. **(b)** 180 degree angle. **(c)** Circle. **(d)** Intersection.

**4. 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.

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

## Short Answer Questions

**1.** After Hippocrates, what shape did the Greeks attempt to square without success?

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

**3.** Where did Hippocrates come from?

**4.** Which of the following was NOT one of Gauss' discoveries?

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

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